A method for calculating and determining the service life of a diamond-impregnated drill bit

Abstract

This invention provides a method for calculating and determining the lifespan of impregnated diamond drill bits, belonging to the technical field of impregnated diamond drill bits in geological drilling. Based on engineering practice parameters, it establishes a calculation model relating the lifespan of impregnated diamond drill bits to drill bit parameters, encountered lithology, and drilling parameters. By optimizing and calculating these parameters, it can improve drill bit lifespan, increase mechanical drilling speed, and prevent a significant reduction in drill bit lifespan. The method can calculate and determine the following technical problems: It obtains parameters relating drill bit lifespan to footage per revolution and drill pressure per unit area, and establishes a calculation model relating drill bit lifespan to matrix abrasion per revolution, rock abrasiveness coefficient of the drill bit matrix, rock friction coefficient, footage per revolution, and drill pressure per unit area. It can calculate and determine the rock abrasiveness coefficient of the drill bit matrix; calculate and determine the matrix abrasion per revolution corresponding to different drill pressures per unit area; and calculate and determine the drill bit lifespan corresponding to different drill pressures per unit area.

Description

Technical Field

[0001] This invention relates to the field of impregnated diamond drill bits for geological drilling, and particularly to a method for calculating and determining the lifespan of impregnated diamond drill bits. Background Technology

[0002] In adjacent boreholes within a mining area, encountering essentially the same geological formations, drilling with identical impregnated diamond bits but using different drilling parameters results in significant differences in mechanical drilling speed and bit life. In geological core drilling, the mechanical drilling speed and bit life of impregnated diamond bits are fundamental challenges that wireline coring drilling must address. From a cost perspective, mechanical drilling speed is more important. However, the direct costs of deep-hole drilling, such as personnel and fuel costs, are related to both mechanical drilling speed and bit life. Therefore, bit life is also crucial for deep-hole drilling.

[0003] As geological exploration progresses to deeper levels, higher requirements are placed on impregnated diamond drill bits in order to improve the efficiency of deep geological drilling and reduce drilling costs. These requirements include higher mechanical drilling speeds, longer drill bit life, and the achievement of high-efficiency drilling.

[0004] The journal *Exploration Engineering (Rock and Soil Drilling Engineering)*, Volume 37, Issue 1, 2010, published the paper "Improvement and Application of Diamond Drill Bits for Complex Formations" by Ruan Hailong et al., Beijing Institute of Exploration Engineering. The journal also published the paper "Research on Deep Hole Drilling Diamond Drill Bit Technology" by Jia Meiling et al., Beijing Institute of Exploration Engineering, Volume 37, Issue 12, 2010. The main methods for improving the lifespan of impregnated diamond drill bits include: (1) Increase the height of the diamond working layer in the drill bit matrix; (2) Improve the performance of the matrix material and enhance the matrix’s wear resistance, impact toughness, erosion resistance and diamond setting ability, etc. (3) Improve the sintering process of drill bits to reduce the thermal damage to diamond caused by high temperature and protect the rock crushing ability of diamond; (4) Select appropriate diamond grit size and diamond concentration to improve the drill bit’s adaptability to the formation.

[0005] However, the lifespan and mechanical drilling speed of impregnated diamond drill bits are interdependent and conditional on drill bit parameters, encountered rock types, and drilling parameters. Currently, there is no comprehensive calculation and analysis method to determine the relationships between these parameters. Therefore, it is necessary to design a method for calculating and determining the lifespan of impregnated diamond drill bits. Summary of the Invention

[0006] The purpose of this invention is to provide a method for calculating and determining the lifespan of impregnated diamond drill bits, thereby solving the technical problems of existing technologies that cannot calculate and determine the obtained drill bit lifespan based on changes in impregnated diamond drill bit parameters and drilling parameters, cannot calculate and determine changes in drill bit wear parameters, and cannot calculate and determine the parameters corresponding to the maximum lifespan of the drill bit.

[0007] This invention, based on engineering practice parameters, establishes a calculation model relating the lifespan of impregnated diamond drill bits to drill bit parameters, encountered rock types, and drilling parameters. By optimizing and calculating these parameters, it aims to improve drill bit lifespan, increase mechanical drilling speed, and prevent a significant reduction in drill bit lifespan. This invention can calculate and solve the following technical problems: (1) Calculate and determine the abrasive coefficient of the rock on the drill bit matrix and its variation relationship; calculate and determine the abrasive coefficient of the rock on the diamond and its variation relationship.

[0008] (2) Calculate and determine the amount of abrasion of the drill bit matrix per revolution and its variation relationship corresponding to different unit area drilling pressures; calculate and determine the amount of diamond wear per revolution and its variation relationship corresponding to different unit area drilling pressures.

[0009] (3) Calculate and determine the drop height of each diamond corresponding to different unit area drilling pressure.

[0010] (4) Calculate and determine the height of the diamond detachment matrix corresponding to different unit area drilling pressure.

[0011] (5) Calculate and determine the drill bit life corresponding to different unit area drilling pressures and their variation relationship.

[0012] (6) Calculate and determine the approximate maximum lifespan of the drill bit and its corresponding related parameters, as well as their variation relationships.

[0013] To achieve the above objectives, the technical solution adopted by the present invention is as follows: A method for calculating and determining the lifespan of a diamond-set drill bit, the method comprising the following steps: Step 1: Obtain drill bit parameters and rock parameters, and obtain relevant parameters based on engineering practice. Specifically, obtain the mechanical drilling speed parameters of impregnated diamond drill bits based on engineering practice, and obtain the relationship parameters between the life of impregnated diamond drill bits and the footage per revolution based on engineering practice. Step 2: Determine ε The functional relationships between the δ-F straight line, δ-F curve, and ε-F curve are specifically defined as follows: determining the relationship between the advance per revolution and relevant parameters, determining the equivalent depth of rock breaking per diamond grain in the rock, and determining the ε-F curve. Functional relationships between the δ-F line, δ-F curve, and ε-F curve; Step 3: Establish a calculation model for the life of impregnated diamond drill bits based on the amount of abrasion per revolution of the drill bit matrix, including determining the amount of abrasion per revolution of the drill bit matrix. d T Determine the abrasion coefficient of the rock on the matrix per revolution. ψ Tr and the amount of wear per revolution of the drill bit body d T Determine drill bit life H The calculation mode; Step 4: Establish a calculation model for the life of impregnated diamond drill bits based on the diamond wear per revolution. This specifically includes determining the diamond wear per revolution. d d 、 Determine the wear coefficient of the rock on the diamond per revolution ψ dr ,Sure d d value, d T Value and e The formula relating the values ​​is based on the wear rate of the diamond per revolution in the drill bit. d d Determine the calculation model for drill bit life H and determine the ineffective wear height h of each diamond. W The calculation model determines the height h of each diamond drop from the drill bit. T The calculation model and determination of the matrix setting height h corresponding to diamond detachment. B The calculation mode; Step 5: Calculate and determine the rock's abrasiveness coefficient to diamond. l d The relationship between the changes specifically includes calculating and determining the equivalent depth of rock fracture per diamond penetrating the rock. h S Change relationship, calculation determination e d - F slope of a linear function K εδ Change relationship, calculation determination d - F The relationship between the coefficient 'a' of the curve function and the calculation to determine the critical drilling pressure per unit area of ​​the drill bit. F L The relationship between the changes and the calculation to determine the rock's abrasiveness coefficient to diamond. l d The relationship between the changes and the coefficient of variation of the contact area between diamond and rock were calculated. eThe relationship between changes and the calculation of diamond wear per revolution of the drill bit d d The relationship between changes and the calculation to determine the advance per revolution d Determining drill bit life through changes and calculations H The changing relationship; Step 6: Calculation and determination method for the relationship between maximum drill bit life and changes in relevant parameters, specifically including calculating and determining the initial maximum drill bit life. H 1max And the corresponding main parameters, and calculate and determine the maximum lifespan of the drill bit after the changes. H 2max And the corresponding main parameters.

[0014] Furthermore, in step 2, ε is determined. The functional relationships between the δ-F line, δ-F curve, and ε-F curve include determining ε. Determine the δ-F linear function relationship, the δ-F curve function relationship, the ε-F curve function relationship, and the relationship between the δ-F curve and ε. The critical parameter for the intersection of the δ-F lines.

[0015] Furthermore, in step 3, the amount of abrasion per revolution of the drill bit matrix is ​​determined. d T The specific process is as follows: when a diamond drill bit cuts rock, friction inevitably occurs between it and the rock. During this friction process, the rock's ability to wear down the cutting tool is called its abrasiveness or wear resistance. The magnitude of abrasiveness is expressed as the ratio of the volume of wear on the cutting tool to the frictional work consumed, and its unit is m. 3 / J.

[0016] The wear of the drill bit matrix and diamond is related to frictional work. The wear volume of the drill bit matrix and diamond per revolution... V r Calculate and determine using the following formula: ; In the formula: V r This refers to the wear volume per revolution of the drill bit matrix and diamond. d This represents the wear per revolution of the drill bit matrix and the diamond. d = d T , d T This refers to the amount of wear per revolution of the drill bit matrix. lThe coefficient of abrasiveness between the rock and the drill bit matrix and the diamond. l = l T , l T The rock abrasiveness coefficient of the drill bit matrix is ​​determined by engineering practice parameters. A The frictional work per revolution of the drill bit; Friction work per drill bit revolution A Calculate and determine using the following formula: ; ; In the formula, F f The frictional resistance of the drill bit breaking rock. Substituting equation (3-2) into equation (3-1), the abrasion amount per revolution of the drill bit matrix is... d T Calculate and determine using the following formula: ; In equation (3-4), the rock abrasiveness coefficient of the drill bit matrix is... l T This represents the wear resistance of the drill bit matrix; if the drill bit diamond... d value, C The value has been determined, the rock type encountered has been determined, and the matrix hardness HRC, which represents wear resistance, has also been determined. l T The value should already be determined, and when the diamond in the drill bit wears down normally without abnormal shedding, it can be assumed that... l T The value remains unchanged.

[0017] Furthermore, in step 3, the abrasion coefficient of the rock on the matrix per revolution is determined. ψ Tr The specific process is as follows: the abrasion coefficient of the rock on the matrix per revolution ψ Tr Calculate and determine using the following formula: ; In the formula, ψ Tr denoted as the abrasion coefficient of the rock on the matrix per revolution.

[0018] Furthermore, in step 3, the abrasion amount per revolution of the drill bit matrix is... d T Determine drill bit life H The specific process of the calculation model is as follows: based on the abrasion amount per revolution of the drill bit matrix. dT Determined drill bit life H Calculate and determine using the following formula: ; In the formula: H For drill bit life, H Z This refers to the height of the drill bit matrix and the diamond working layer. As shown in equation (3-6), when the diamond in the drill bit wears normally and no abnormal loss occurs, the lifespan of the impregnated diamond drill bit is... H With each revolution advance d They are directly proportional, and each revolution advances a foot. d Drilling pressure per unit area F Related to increasing drilling pressure per unit area F This increases the advance per revolution. d ,and, d The increase was greater than F The increase in drilling pressure per unit area F This ultimately improves the lifespan of impregnated diamond drill bits. H； When increasing drilling pressure per unit area F Pursuing higher advance per revolution d When the diamond in the drill bit falls off abnormally, the wear resistance of the diamond cannot be fully utilized, and the abrasiveness coefficient of the rock on the drill bit matrix decreases. l T The value is significantly increased, and the drill bit life is extended. H Significantly reduced; Therefore, there should be a maximum value for drill bit life. H max The corresponding parameter is called the limit parameter, and there exists a corresponding limit value for drilling pressure per unit area. F max There is a corresponding advance limit value per revolution. d max There exists a corresponding limit value for the coefficient of variation of the contact area between diamond and rock. e min ; Rock abrasiveness coefficient of drill bit matrix l T The parameters obtained from engineering practice are determined by calculation using the following formula: .

[0019] Furthermore, determine the inlay height h corresponding to the diamond detachment. B The specific process of the calculation model is as follows: (1) Determine the number of wear-resistant revolutions for each diamond. r dThe calculation mode determines the number of wear-resistant revolutions per diamond. r d for h K Value and d d The ratio of values, and according to the equality of equation (4-14) and equation (3-6), the number of wear-resistant revolutions per diamond. r d Calculate and determine using the following formula: ; In the formula: r d The number of revolutions per diamond to resist wear; (2) Determine r d Corresponding tire wear height h KT The calculation mode, the number of wear-resistant revolutions per diamond. r d Corresponding tire wear height h KT Calculate and determine using the following formula: ; In the formula: h KT The number of wear-resistant revolutions per diamond r d The corresponding tire wear height; (3) Determine the inlay height of the matrix corresponding to the diamond falling out. h B The calculation model assumes that the diamond begins to cut into the rock at the equivalent depth. h At that time, the diamond tip height h R = h When a diamond falls out, the corresponding inlay height of the matrix. h B Calculate and determine using the following formula: ; In the formula: h B This represents the height of the inlay corresponding to the diamond falling out; (4) Determine the inlay height of the matrix corresponding to the diamond fallout. h B Regarding the relationship with changes in relevant parameters, if the encapsulation properties of the matrix material remain unchanged, it can be assumed that the shrinkage stress of the matrix remains constant. When diamonds fall out, the cutting holding force of the matrix... F dBt It is directly proportional to the remaining setting force of the diamond, that is, to the diameter of the sphere. d Gao Weih B The surface area of ​​the spherical crown is directly proportional to the diamond cutting force. F dt Cutting force of the tire carcass F dBt Equal, if the drill bit parameters change, the corresponding matrix setting height for diamond detachment is equal. h B The relationship with the changes in relevant parameters is determined by the following formula: ; As shown in equation (4-27), the height of the matrix setting corresponding to diamond detachment is... h B The equivalent depth of each diamond cutting into the rock h Proportional relationship; A change in the hardness (HRC) of the drill bit matrix will affect its wear resistance. However, a change in the hardness (HRC) of the drill bit matrix does not necessarily mean a change in the shrinkage stress of the matrix or a change in its diamond setting performance. Therefore, we assume that a change in the hardness (HRC) of the drill bit matrix will not lead to a change in the matrix's diamond setting performance. The initial parameters of the drill bit are marked with subscript 1, and the parameters after the drill bit parameters change are marked with subscript 2.

[0020] Furthermore, in step 4, the specific process for determining the calculation model of drill bit life H is as follows: (1) Determine the wear resistance equivalent height of each diamond. h K The calculation model assumes that each diamond is worn down to its remaining height. h T Later, this diamond fell off, and the wear resistance equivalent height of each diamond was [not specified]. h K Calculate and determine using the following formula: ; In the formula: h K The wear resistance equivalent height of each diamond. h T The height at which each diamond fell off. h W The ineffective wear height per diamond; (2) Determine the total equivalent volume of diamond wear resistance in the drill bit V Ze The calculation model for the total equivalent volume of diamond wear resistance in drill bits. V Ze Calculate and determine using the following formula: ; ; In the formula: V Ze The total equivalent volume of diamond wear-resistant material in the drill bit. N Z This represents the total number of diamonds in the drill bit. (3) The wear of the diamond per revolution of the drill bit d d Determine drill bit life H The calculation model is based on equations (4-1) and (4-12), which is determined by the diamond wear per revolution of the drill bit. d d Determined drill bit life H Calculate and determine using the following formula: .

[0021] Furthermore, in step 4, the ineffective wear height h of each diamond is determined. W The calculation model and determination of the drop height h of each diamond in the drill bit T The specific process of the calculation model: (1) Determine the cutting force distributed per diamond per revolution F dt ， The torque shear force of the drill bit F t With frictional resistance F f Equal cutting force per diamond per revolution F dt Calculate and determine using the following formula: ; In the formula: F dt The cutting force allocated to each diamond per revolution. F t The torque shear force required by the drill bit to break rock. F t = F f g is the acceleration due to gravity, and we take g = 10 N / kg; (2) Determine the shear stress per diamond per revolution t, The equivalent depth each diamond cuts into the rock h At that time, the diameter of the ball was d Gao Wei h Sphere bottom area S q Calculate and determine using the following formula: ; In the formula: S q For the diameter of the ball isd Gao Wei h The spherical notch bottom area, the shear stress per diamond per revolution t Calculate and determine using the following formula: ; In the formula: t This represents the shear stress per diamond per revolution; As can be seen from equation (4-17), because each diamond cuts into the rock to an equivalent depth... h Diamond average particle size d Much smaller, therefore, the shear stress per diamond per revolution t It is mainly determined by the type of rock encountered during drilling; if the rock encountered is... P K Even with SMD40 grade diamonds, when the diamonds begin to sharpen and wear occurs, some diamonds are still sheared and broken, resulting in ineffective wear height per diamond. h W ; (3) Determine the shear strength of diamond h τ ， Satisfying the allowable shear stress of diamond [ t When required, the shear resistance area of ​​diamond S qτ Calculate and determine using the following formula: ; In the formula: [ t [This refers to the allowable shear stress of diamond.] S qτ This represents the shear strength area of ​​diamond. ; h τ For the diameter of the ball is d The shear base area is S qτ The spherical notch height, i.e., the shear resistance height of diamond, when h ≥ h τ hour, h τ = h ; Sphere diameter is d The base area is S qτ Ball height h τ Calculate and determine using the following formula: ; From equation (4-20), we can see that h τ yes e In engineering, the function... h τ The smaller the diamond, the better it is for increasing drill bit life. If the sintering temperature of the drill bit is too high, the diamond will graphitize, causing […]. t Insufficient value, when P K High value e When the value is large, then... h τ ≈ d / 2 indicates that diamond cannot cut into or break rock; (4) Determine the ineffective wear height of each diamond. h W The calculation model for the ineffective wear height of each diamond. h W Calculate and determine using the following formula: ; From equation (4-21), we can see that h W yes e In engineering, the function... h W The smaller the value, the better it is for increasing drill bit life; Based on the equality of equation (4-14) and equation (3-6), and based on equation (4-9), the wear resistance equivalent height of each diamond in the drill bit is... h K The relationship between the drilling parameters and the drilling parameters is determined by the following formula: ; Drill bit diamond drop height h T Calculate and determine using the following formula: ; Maximum drill bit life H max There must exist corresponding limit values ​​for the height at which each diamond falls off. h Tmin If the drilling pressure is low, when h T ≥ h Tmin When diamonds fall off the drill bit, it's called normal shedding. However, if the drilling pressure is too high, when... h T < h Tmin When diamonds in a drill bit fall out, it is called abnormal loss.

[0022] Furthermore, the specific process of step 5 is as follows: Step 5.1: Calculate and determine the rock abrasiveness coefficient to the drill bit matrix. l T Change relationship (1) Calculate and determine the rock abrasiveness coefficient of the drill bit matrix. l T1 ， Initial rock abrasiveness coefficient of drill bit matrix l T1 Acquired from engineering practice F 11 , d 11 The parameters are determined by substituting them into equation (3-7). When using multiple drill bit engineering practice parameters, l T1 The value should be the average and determined by the following formula: ; (2) Calculate and determine the rock abrasiveness coefficient of the drill bit matrix. l T2 The relationship between the variation of rock abrasiveness coefficient on drill bit body l T The wear resistance coefficient of the drill bit matrix represents the wear resistance of the drill bit matrix and varies inversely with the HRC value, which represents the wear resistance of the matrix. According to equation (4-8), the rock abrasiveness coefficient of the drill bit matrix is... l T The coefficient of abrasiveness of diamond to rock l d The abrasiveness coefficient of the changed rock to the drill bit matrix is ​​directly proportional to this. l T2 Calculate and determine using the following formula: ; Step 5.2: Calculate and determine the amount of wear per revolution of the drill bit matrix. d T Change relationship (1) Calculate and determine the amount of abrasion per revolution of the drill bit matrix. d T1 ， Initial abrasion per revolution of the drill bit matrix d T1 ,Depend on l T1 , F Substitute the parameters of 1 into equation (3-4) to calculate and determine; (2) Calculate and determine the amount of abrasion per revolution of the drill bit matrix. d T2 The relationship between the changes, and the amount of abrasion per revolution of the drill bit matrix after the changes. d T2 Calculate and determine using the following formula: ; Step 5.3: Calculate and determine d - F the exponent m of the curve function, d - F the exponent m of the curve function, which is obtained from engineering practice F 01 , F 02 , d 01 , d 02 parameters, substitute them into Equation (2-16) to calculate and determine the value of m. The value of m reflects the ability of the impregnated diamond bit to achieve the penetration per revolution under the condition of the drilling pressure per unit area. For different rocks, there are different values of m. For the impregnated diamond bit that can self-sharpen and cut the rock, through calculation and analysis, it is found that F the d penetration per revolution. For different rocks, there are different values of m. For the impregnated diamond bit that can self-sharpen and cut the rock, through calculation and analysis, it is found that d - F the exponent m value of the curve function is between 1.0 < m ≤ 2.0. If the lithology encountered during drilling remains unchanged, it can be considered that the value of m remains basically unchanged; Step 5.4: Calculate and determine the coefficient of rock abrasiveness to diamond​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​The coefficients a1 of the curve function are obtained from engineering practice. F 01 , d 01 The parameters are substituted into equation (2-17) to calculate and determine; After the change d 2- F The coefficient a2 of the curve function is determined by the following formula: ; (4) Calculate and determine the critical drilling pressure per unit area of ​​the drill bit. F L The relationship between the changes, and the initial critical drill bit pressure per unit area. F L1 ,Depend on K εδ1 The parameters of a1 are determined by substituting them into equation (2-19); The changed critical drilling pressure per unit area of ​​the drill bit F L2 Calculate and determine using the following formula: ; (5) Calculate and determine the rock's abrasiveness coefficient to diamond. l d The relationship between the initial rock and the diamond abrasiveness coefficient of the drill bit. l d1 ,Depend on l T1 , F L1 Substitute the parameters into equation (4-8) to calculate and determine; The altered rock's abrasiveness coefficient to drill bit diamond l d2 Calculate and determine using the following formula: ; Step 5.5: Calculate and determine the coefficient of variation of the contact area between diamond and rock. e Change relationship (1) Calculate and determine the coefficient of variation of the contact area between diamond and rock. e 1， Initial diamond-rock contact area variation coefficient e 1. By F 1. K εδ1 The parameters of a1 are determined by substituting them into equation (2-18); (2) Calculate and determine the coefficient of variation of the contact area between diamond and rock. e The relationship between 2 and the coefficient of change of the contact area between diamond and rock after the change. e The relationship between 2 and its change is determined by the following formula: ; Step 5.6: Calculate and determine the diamond wear per revolution of the drill bit. d d The relationship between the changes, the initial diamond wear per revolution of the drill bit. d d1 ,Depend on d T1 , e Substitute the parameters into equation (4-10) to calculate and determine; The changed diamond wear per revolution of the drill bit d d2 Calculate and determine using the following formula: ; Step 5.7: Calculate and determine the advance per revolution d The changing relationship, the initial advance per revolution d 1, by a1, F Substituting the parameters into equation (2-15) and calculating the changed advance per revolution, we can determine the advance. d 2. Calculate and determine using the following formula: ; Step 5.8 Calculate and determine drill bit life H Change relationship Initial drill bit life H 1. By l T1 , d 1. F 1. Substitute the parameters into equation (3-6) to calculate and determine. Changes in drill bit life H 2. Calculate and determine using the following formula: .

[0023] Furthermore, the specific process of step 6 is as follows: Step 6.1: Calculate and determine the initial maximum drill bit life. H 1max and the corresponding main parameters (1) Calculate and determine the initial drilling pressure limit value per unit area. F 1max ， Based on parameters obtained from engineering practice, the initial drill bit's unit area drilling pressure limit value F 1max Calculate and determine using the following formula: ; (2) Calculate and determine the initial limit value of the coefficient of variation of diamond-rock contact area. e 1min ， Initial limit value of the coefficient of variation of diamond-rock contact area e 1min ,Depend on K εδ1 a1 F 1max The parameters are substituted into equation (2-18) to calculate and determine; (3) Calculate and determine the initial advance limit value per revolution. d 1max ， Initial advance limit per revolution d 1max , by a1, F 1max The parameters are substituted into equation (2-15) to calculate and determine; (4) Calculate and determine the initial maximum drill bit life. H 1max ， Initial maximum drill bit life H 1max ,Depend on l T1 , d 1max , F 1max Substitute the parameters into equation (3-6) to calculate and determine; (5) Calculate and determine the initial limit value of ineffective wear height per diamond. h W1min ， Initial limit value for ineffective wear height per diamond h W1min ,Depend on d 1. e 1min , h S1 、[ t Substituting the parameters of [1] into equation (4-21) for calculation, when h W1min When ≤ 0, take h W1min = 0; (6) Calculate and determine the initial wear resistance equivalent height limit value per diamond. h K1min ， Initial wear resistance equivalent height limit value per diamond h K1min ,Depend on e 1min , K εδ1 , F L1 The parameters are substituted into equation (4-22) to calculate and determine; (7) Calculate and determine the initial limit value for the height of each diamond that has fallen off. h T1min ， Initial limit value for the height of each diamond that has fallen off h T1min ,Depend on d 1. e 1min , K εδ1 , F L1 , h W1min The parameters are substituted into equation (4-23) to calculate and determine; (8) Calculate and determine the limit value of the matrix inlay height corresponding to the initial diamond loss. h B1min ， The initial diamond loss corresponds to the limit value of the matrix inlay height. h B1min ,Depend on d 1. d 1max , e 1min , h S1 , h W1min The parameters are substituted into equation (4-26) to calculate and determine; Step 6.2: Calculate and determine the maximum lifespan of the drill bit after the change. H 2max and the corresponding main parameters (1) Calculate and determine the limit value of the change coefficient of the contact area between diamond and rock after the change. e 2min ① Determine whether the condition is met h min ≥ h τmin conditions satisfy h min ≥ h τmin The condition for the limit value of the coefficient of variation of the contact area between diamond and rock. e min The following requirements should be met: ; because e min >0, when the requirement of equation (6-2) is met, the allowable shear stress of diamond is [ t The following requirement should be met: > ； Conversely, if the requirements of equations (6-2) and (6-3) are not met, then it is determined to be... h τmin > h min ; ② Calculate and determine the limit value of the change coefficient of the contact area between diamond and rock after the change. e 2min First assume e 2min The changed advance per revolution limit value is calculated using the approximation method according to formula (6-4). d 2max : ; Then by d 2. e 2min , h S2 、[ t [2] Substituting the parameters into equation (4-21), the changed limit value of the ineffective wear height per diamond is calculated using the approximation method. h W2min ,when h W2min When ≤ 0, take h W2min = 0; Then, calculate the limit value of the matrix inlay height corresponding to the changed diamond detachment according to the following formulas (6-5) and (6-6). h B2min When equation (6-5) equals equation (6-6), it represents the limit value of the variation coefficient of the diamond-rock contact area after the change. e 2min Solution: ; ; (2) Calculate and determine the changed drilling pressure limit value per unit area. F 2max Changes in drilling pressure limit per unit area F 2max Calculate and determine using the following formula: ; (3) Calculate and determine the new wear resistance equivalent height limit value for each diamond. h K2min ， The revised wear resistance equivalent height limit value per diamond h K2min ,Depend on e2min , K εδ2 , F L2 Substitute the parameters into equation (4-22) to calculate and determine; (4) Calculate and determine the limit value of the detachment height of each diamond after the change. h T2min ， The changed limit height for each diamond to fall off h T2min ,Depend on d 2. e 2min , K εδ2 , F L2 , h W2min Substitute the parameters into equation (4-23) to calculate and determine; (5) Calculate and determine the maximum lifespan of the drill bit after the change. H 2max Modified maximum drill bit life H 2max Calculate and determine using the following formula: .

[0024] The present invention, by adopting the above-described technical solution, has the following beneficial effects: (1) Based on engineering practice, this invention obtains parameters relating drill bit life to footage per revolution and drill pressure per unit area, and establishes a calculation model relating drill bit life to matrix abrasion per revolution, rock abrasiveness coefficient of the drill bit matrix, rock friction coefficient, footage per revolution, and drill pressure per unit area. It can calculate and determine the rock abrasiveness coefficient of the drill bit matrix; calculate and determine the matrix abrasion per revolution corresponding to different drill pressures per unit area; calculate and determine the drill bit life corresponding to different drill pressures per unit area; and calculate and determine the approximate maximum drill bit life and its corresponding parameters.

[0025] (2) A calculation model was established to determine the relationship between drill bit life and diamond wear per revolution and the equivalent height of wear resistance of each diamond. The calculation models for diamond shearing and breakage in the drill bit and the ineffective wear height of each diamond were also determined. The calculation model for the height of each diamond falling off was determined. The calculation model for the matrix inlay height corresponding to diamond falling off was also determined.

[0026] (3) By optimizing and improving drill bit parameters and drilling parameters, the following objectives can be achieved: ① Calculate and determine the relationship between the rock's abrasiveness coefficient and the drill bit matrix; calculate and determine the relationship between the rock's abrasiveness coefficient and the diamond's abrasiveness coefficient.

[0027] ② Calculate and determine the relationship between the amount of wear on the drill bit matrix per revolution; calculate and determine the relationship between the amount of wear on the diamond per revolution.

[0028] ③ Calculate and determine the relationship between diamond shearing and breakage and the ineffective wear height of each diamond. Based on the physical and mechanical properties of the rock encountered, it is possible to calculate and determine drill bit parameters such as diamond particle size, diamond concentration, and diamond grade; it is possible to calculate and determine drilling parameters suitable for the rock encountered and the drill bit parameters; effectively avoiding situations where diamonds cannot penetrate the rock or break the rock.

[0029] ④ Calculate and determine the height of each diamond drop corresponding to different unit area drilling pressures. Calculate and determine the matrices setting height of each diamond drop corresponding to different unit area drilling pressures.

[0030] ⑤ Calculate and determine the drill bit life and the relationship between its corresponding parameters. This includes calculating and determining the expected mechanical drilling rate and drill bit life.

[0031] ⑥ Calculate and determine the approximate maximum lifespan of the drill bit and the corresponding parameter variations. This can improve the mechanical drilling rate, prevent a significant reduction in drill bit life, and achieve efficient drilling. Attached Figure Description

[0032] Figure 1 This is a schematic diagram of the diamond compression core used in this invention to break rocks; Figure 2 This is a schematic diagram of the diamond rock crushing cutting area of ​​the present invention; Figure 3 This is the ε of the present invention Schematic diagram of the coordinates of the δ-F line, δ-F curve, and ε-F curve; Figure 4 This is a schematic diagram showing the relationship between the drill bit life and the drilling pressure per unit area of ​​the present invention; Figure 5 This is a schematic diagram of the diamond shear and wear resistance of the present invention; Figure 6 This is a schematic diagram of the matrix abrasion and diamond inlay height of the present invention; Figure 7 This is a schematic diagram of the force experienced when diamond falls off, according to the present invention. Detailed Implementation

[0033] To make the objectives, technical solutions, and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and preferred embodiments. However, it should be noted that many details listed in the specification are merely to provide the reader with a thorough understanding of one or more aspects of the present invention, and these aspects of the invention can be implemented even without these specific details.

[0034] like Figure 1-7As shown, a method for calculating and determining the lifespan of a diamond-set drill bit includes the following steps: 1. Obtain drill bit parameters and rock parameters, and acquire relevant parameters based on engineering practice. 1.1 Obtaining relevant parameters of mechanical drilling speed for impregnated diamond drill bits based on engineering practice Encountering rocks and rotation speed n Under the same conditions, different drilling pressure per unit area F 01 , F 02 Drill in to obtain the corresponding hourly efficiency. v 01 , v 02 Drilling pressure per unit area F 01 , F 02 The value range should ensure that the impregnated diamond drill bit can operate normally, and that the diamond does not fall out abnormally. F 02 and F 01 The ratio should be controlled at around 1.10.

[0035] The progress per revolution of impregnated diamond drill bits d Calculate using the following formula: ; In the formula: d Advance per revolution, mm / r; v Drill bit hourly efficiency, m / h; n Drill bit rotation speed, rpm.

[0036] 1.2 Based on engineering practice, parameters relating the life of impregnated diamond drill bits to the advance per revolution were obtained. Under essentially the same rock conditions, using impregnated diamond drill bits with identical parameters from the same batch, and at essentially the same rotational speed... n and different drilling pressure per unit area F 11 , F 12 , F 13 , F 14 Drilling, to obtain the corresponding average hourly efficiency. v 11 , v 12 , v 13 , v 14 To obtain the corresponding drill bit life. H11 , H 12 , H 13 , H 14 The corresponding average advance per revolution was calculated. d 11 , d 12 , d 13 , d 14 .

[0037] Drilling pressure per unit area F 11 , F 12 , F 13 , F 14 It is advisable to meet the requirement of obtaining an average advance per revolution. d 11 = 0.35 d ~0.4 d , d 12 = 0.4 d ~0.45 d , d 13 = 0.45 d ~0.5 d , d 14 = 0.5 d ~0.6 d Drilling pressure per unit area F 13 The value of should satisfy the condition that the diamond does not fall out abnormally; the drilling pressure per unit area F 14 The value of should be such that abnormal diamond loss occurs; and the drill bit life should meet the following requirements. F 14 < H 13 , F 14 and F 13 The difference is small. The maximum lifespan of this batch of drill bits... H 1max Corresponding drilling pressure limit value per unit area F 1max ,exist F 13 and F14 between.

[0038] 2. Confirm e d - F straight line, d - F curve, e - F Curve Function Relationship 2.1 Relationship between advance per revolution and relevant parameters, advance per revolution d The relationship with the relevant parameters is determined by the following formula: ; In the formula: d for Average diamond particle size, mm; C for Diamond concentration, % (volume ratio 400%), e.g. C =100%, every 4mm 3 The fetal body is 1mm 3 Diamond); f The resultant force coefficient of drilling pressure and torque shear force; ; f The coefficient of friction between the drill bit and the rock; P K for Rock anti-diamond indentation hardness, kg / mm 2 ; F for Drill bit pressure per unit area, kg / cm² 2 ; ; P Drill bit pressure, kg; S C The contact area between the drill bit lip and the rock, in mm. 2 ; S d for The contact area between each diamond and the rock, in mm. 2 ; ; d m for Actual average diameter of the worn surface of each diamond (see reference) Figure 1 (as shown), mm; h m for The actual depth to which each diamond cuts into the rock (see...) Figure 1 (as shown), mm; d e for Equivalent ball diameter of each diamond wear surface d e = d mm; h is The equivalent depth each diamond cuts into the rock (see...) Figure 1 (as shown), mm; ; e —Coefficient of variation of contact area between diamond and rock; h S —Equivalent depth of rock breaking per diamond penetrating the rock (see) Figure 1 (as shown), mm.

[0039] 2.2 Determine the equivalent depth of rock breaking per diamond grain penetrating the rock. The equivalent depth of rock breaking per diamond grain penetrating the rock h S It is based on the average volume of rock broken per revolution of each diamond penetrating the rock. q S Average rock cutting distance per drill revolution L r Calculate the average rock-breaking area per revolution of each diamond grain penetrating the rock. A S Then establish a diameter of d Height is h S The arc area of ​​the circle A Sr The calculation formula; then, let A Sr = A S Calculate the equivalent depth of rock fracture for each diamond grain penetrating the rock. h S Please see. Figure 2 As shown.

[0040] The volume of rock broken per revolution of the drill bit Q r Calculate and determine using the following formula: ; In the formula: Q r —The volume of rock broken per drill revolution, in mm 3 ; D h — Drill bit outer diameter, mm; d h— Drill bit inner diameter, mm.

[0041] Average rock volume broken per revolution per diamond penetrating the rock q S Calculate and determine using the following formula: ; In the formula: q S —Average volume of rock broken per revolution per diamond penetrating the rock, in mm 3 .

[0042] N —Number of diamonds cut into the rock per revolution, diamonds / r; ; Average rock-breaking cutting area per revolution of each diamond penetrating the rock A S Calculate and determine using the following formula: ; ; In the formula: A S —Average rock-breaking cutting area per revolution for each diamond penetrating the rock, in mm 2 ; L r —Average distance of rock cut per diamond per revolution, mm.

[0043] Diameter d Height is h S The area of ​​the arc-shaped bow A Sr Calculate and determine using the following formula: ; A Sr —Diameter is d Height is h S The area of ​​the arc-shaped section, mm 2 ; α S —Diameter is d Height is h S The half angle of the included angle at the center of the arc (see Figure 2 (as shown), radians.

[0044] Since equation (2-9) is equal to equation (2-11), that is...A Sr = A S The approximation method is used to obtain α S The equivalent depth of rock fracture per revolution of each diamond penetrating the rock. h S Calculate using the following formula: ; 2.3 Determine e d - F straight line, d - F curve, e - F Curve Function Relationship Drilling pressure per unit area on the same coordinate system F The x-axis represents the advance per revolution. d、 Coefficient of variation of contact area between diamond and rock e and e d Establish using the ordinate as the vertical axis. e d - F straight line, d - F curve, e - F Determine the relationship between the curve functions. d , e , e d and F The relationships between them. Please refer to [link / reference]. Figure 3 As shown.

[0045] (1) Determine e d - F The linear function relation, e d - F The linear function relationship can be rewritten from equation (2-1) as follows: ; ; In the formula: K εδ —— e d - F The slope of the linear function, (100 mm 3 ) / kg. e d and F The relationship is a straight line passing through the origin of the coordinate system.

[0046] (2) Determine d - F Curve function relationship, advance per revolution d With drilling pressure per unit area F It improves with the increase, and advances the foot per revolution. d The increase ratio is greater than the drilling pressure per unit area. F The increase in multiplier. Therefore, d and F The relationship is that the curve passes through the origin of the coordinate system. Let... d - F The curve function relationship is: ; In the formula: a is d - F The coefficients of the curve function are determined by engineering practice parameters; m is... d - F The exponent of the curve function is determined by parameters from engineering practice.

[0047] Based on the engineering practice obtained in step 1.1 ( d 01 , F 01 ), ( d 02 , F 02 Two coordinate parameter points, d - F The exponent m of the curve function is determined by the following formula: ; d - F The coefficient 'a' of the curve function is determined by the following formula: ; (3) Determine e - F Curve function relationship Substituting equation (2-15) into equation (2-13), we get e - F Curve function relationship: ; e along with F The increase leads to a decrease. When FWhen it approaches 0, then e Approaching infinity; when F When it approaches infinity, then e It tends towards infinity. Therefore, e and F The relationship is that the curve does not intersect with either the vertical or horizontal coordinates.

[0048] (4) Determine d - F curve and e d - F Critical parameters for intersecting straight lines d - F curve and e d - F Since all straight lines pass through the origin, they must intersect at a certain point, and this intersection point must satisfy the following condition: e d = d Then there must be e = 1.0. This fixed-point parameter is called the critical parameter, and the corresponding parameter is marked with the subscript "L", i.e. F L , d L , e L =1.0, and has .

[0049] Critical drilling pressure per unit area F L Calculate and determine using the following formula: ; 3. Establish a calculation model for the life of impregnated diamond drill bits based on the amount of wear per revolution of the drill bit matrix. 3.1 Determine the amount of abrasion per revolution of the drill bit matrix d T When a diamond drill bit cuts rock, friction inevitably occurs between it and the rock. The ability of the rock to wear down the cutting tool during this friction process is called the rock's abrasiveness or wear resistance. Abrasiveness is usually expressed as the ratio of the volume of wear on the cutting tool to the frictional work consumed, and its unit is m. 3 / J.

[0050] The wear of the drill bit matrix and diamond is related to frictional work. The wear volume of the drill bit matrix and diamond per revolution... V r Calculate and determine using the following formula: ; In the formula: V r The wear volume per revolution of the drill bit matrix and diamond is expressed in mm. 3 / r; d This represents the wear per revolution of the drill bit matrix and the diamond. d = d T mm / r; d T The abrasion amount of the drill bit matrix per revolution, in mm / r; l The coefficient of abrasiveness between the rock and the drill bit matrix and the diamond. l = l T mm 3 / (kg mm); l T The rock abrasiveness coefficient on the drill bit matrix is ​​determined by engineering practice parameters, in mm. 3 / (kg mm); A The frictional work per revolution of the drill bit, kg mm / r. Frictional work per drill bit revolution A Calculate and determine using the following formula: ; ; In the formula: F f —Frictional resistance of the drill bit breaking rock, kg.

[0051] Substituting equation (3-2) into equation (3-1), the abrasion amount per revolution of the drill bit matrix is... d T Calculate and determine using the following formula: ; In equation (3-4), the rock abrasiveness coefficient of the drill bit matrix is... l T This represents the wear resistance of the drill bit matrix. If the drill bit diamond... d value, C The value has been determined, the rock type encountered has been determined, and the matrix hardness HRC, which represents wear resistance, has also been determined. l TThe value should already be determined, and when the diamond in the drill bit wears down normally without abnormal shedding, it can be assumed that... l T The value remains basically unchanged.

[0052] 3.2 Determine the rock abrasion coefficient per revolution of the matrix ψ Tr Rock abrasion coefficient per revolution of matrix ψ Tr Calculate and determine using the following formula: ; In the formula: ψ Tr The abrasion coefficient of the rock on the matrix per revolution, in mm. 2 / (kg mm r).

[0053] 3.3 Abrasion per revolution of the drill bit matrix d T Determine drill bit life H Calculation mode Abrasion per revolution of the drill bit matrix d T Determined drill bit life H Calculate and determine using the following formula: ; In the formula: H For drill bit life, m; H Z The height of the drill bit matrix and diamond working layer is in mm.

[0054] As shown in equation (3-6), when the diamond in the drill bit wears normally and no abnormal loss occurs, the lifespan of the impregnated diamond drill bit is... H With each revolution advance d They are directly proportional. And the advance per revolution... d Drilling pressure per unit area F Related. Increase drilling pressure per unit area. F This increases the advance per revolution. d ,and, d The increase was greater than F The increase. Increase drilling pressure per unit area. F This ultimately improves the lifespan of impregnated diamond drill bits. H .

[0055] When increasing drilling pressure per unit area F Pursuing higher advance per revolution dWhen the diamond in the drill bit falls off abnormally, the wear resistance of the diamond cannot be fully utilized, and the abrasiveness coefficient of the rock on the drill bit matrix decreases. l T The value is significantly increased, and the drill bit life is extended. H It was significantly reduced.

[0056] Therefore, there should be a maximum value for drill bit life. H max The corresponding parameter is called the limit parameter. There exists a corresponding limit value for drilling pressure per unit area. F max There is a corresponding advance limit value per revolution. d max There exists a corresponding limit value for the coefficient of variation of the contact area between diamond and rock. e min Please see. Figure 4 As shown.

[0057] Rock abrasiveness coefficient of drill bit matrix l T The parameters obtained from the engineering practice in step 1.2 are calculated and determined using the following formula: ; 4. Establish a calculation model for the life of impregnated diamond drill bits based on the wear rate of the diamond per revolution. 4.1 Determine the diamond wear per revolution of the drill bit d d The wear of diamond in a drill bit is related to frictional work. The equivalent volume of diamond worn per revolution is... V dr Calculate and determine using the following formula: ; In the formula: V dr The equivalent volume of diamond wear per revolution of the drill bit, in mm. 3 / r; d d The wear of the diamond bit per revolution is expressed in mm / r. S Br The total equivalent surface area per revolution of the diamond wear surface of the drill bit, in mm. 2 ; ; S be The equivalent surface area of ​​the worn surface of each diamond grain, in mm. 2 ; ; ld The rock-to-diamond abrasiveness coefficient is determined by calculation based on engineering practice parameters, in mm. 3 / (kg mm).

[0058] Substituting equation (3-2) into equation (4-1), and based on equation (2-1), the diamond wear per revolution of the drill bit is calculated. d d Calculate and determine using the following formula: ; 4.2 Determining the wear coefficient of the rock on the diamond per revolution ψ dr According to equation (4-4), if the average diamond particle size of the drill bit... d and diamond concentration C It has been determined that the rock type encountered during drilling has been determined, and the diamond wear rate per revolution of the drill bit has been determined. d d This is not related to drilling parameters, but only to lithology and the inner and outer diameters of the drill bit. If you change... d value, C Value, rock abrasiveness coefficient to diamond l d It will change accordingly. d d The value will also change accordingly. However, l d Value and d d The ratio of values ​​will not change.

[0059] rock wear coefficient per revolution of diamond ψ dr Calculate and determine using the following formula: ; In the formula: ψ dr The wear coefficient of the rock on the diamond per revolution, in mm. 2 / (kg mm r).

[0060] 4.3 Determined d d value, d T Value and e Relationship formula of values By comparing equation (3-5) with equation (4-5), we get: ; Coefficient of variation of contact area between diamond and rock e The value reflects the strength of the diamond compression core's rock-breaking effect, and also reflects the wear and tear of the diamond mill per revolution. d d Amount of wear per revolution d T The relationship. When e When =1.0, h = h S Diamond compression cores are ineffective at breaking rocks; the rock-breaking effect is extremely poor, with only a small advance per revolution. d The value is relatively low, so we can assume that the correspondence is relatively low. d d = d T It is considered to be the critical parameter value for determining whether a drill bit can self-sharpen.

[0061] Rock abrasiveness coefficient l T coefficient of diamond abrasiveness against rock l d The ratio is determined by the following formula: ; Rock abrasiveness coefficient to diamond l d Calculate and determine using the following formula: ; Diamond wear per revolution d d Amount of wear per revolution of the tire body d T The ratio is determined by the following formula: ; Diamond wear per revolution d d Calculate and determine using the following formula: ; 4.4 Wear per revolution of the diamond drill bit d d Determine drill bit life H Calculation mode (1) Determine the wear resistance equivalent height of each diamond.h K Calculation mode Assuming each diamond is worn down to its remaining height h T Then, this diamond fell off. The wear resistance equivalent height of each diamond is... h K Calculate and determine using the following formula: ; In the formula: h K The wear resistance equivalent height of each diamond (see) Figure 5 (as shown), mm; h T The height at which each diamond fell off (see reference) Figure 5 (as shown), mm; h W Ineffective wear height per diamond (see) Figure 5 (as shown), mm.

[0062] (2) Determine the total equivalent volume of diamond wear resistance in the drill bit V Ze Calculation mode Total equivalent volume of diamond wear resistance in drill bits V Ze Calculate and determine using the following formula: ; ; In the formula: V Ze The total equivalent volume of diamond wear-resistant drill bit, in mm. 3 ; N Z The total number of diamonds in the drill bit is 100.

[0063] (3) The wear of the diamond per revolution of the drill bit d d Determine drill bit life H Calculation mode According to equations (4-1) and (4-12), the wear rate of the diamond per revolution of the drill bit is calculated. d d Determined drill bit life H Calculate and determine using the following formula: ; 4.5 Determine the ineffective wear height of each diamond. h W Calculation mode (1) Determine the cutting force distributed per diamond per revolutionF dt The torque shear force of the drill bit F t With frictional resistance F f Equal cutting force per diamond per revolution F dt Calculate and determine using the following formula: ; In the formula: F dt Cutting force allocated to each diamond per revolution, N / diamond; F t The torque shear force required by the drill bit to break rock. F t = F f , kg; g is the acceleration due to gravity, take g = 10 N / kg.

[0064] (2) Determine the shear stress per diamond per revolution t The equivalent depth each diamond cuts into the rock h At that time, the diameter of the ball was d Gao Wei h Sphere bottom area S q Calculate and determine using the following formula: ; In the formula: S q For the diameter of the ball is d Gao Wei h The sphere's missing bottom area, mm 2 .

[0065] Shear stress per diamond per revolution t Calculate and determine using the following formula: ; In the formula: t The shear stress per diamond per revolution is expressed in MPa.

[0066] As can be seen from equation (4-17), because each diamond cuts into the rock to an equivalent depth... h Diamond average particle size d Much smaller, therefore, the shear stress per diamond per revolution t It is mainly determined by the type of rock encountered during drilling. If the rock encountered is... P KEven with SMD40 grade diamonds, when the diamonds begin to sharpen and wear occurs, some diamonds are still sheared and broken, resulting in ineffective wear height per diamond. h W .

[0067] (3) Determine the shear strength of diamond h τ Satisfying the allowable shear stress of diamond [ t When required, the shear resistance area of ​​diamond S qτ Calculate and determine using the following formula: ; In the formula: [ t [ ] is the allowable shear stress of diamond, determined according to Table 1, MPa; S qτ The shear strength of diamond is expressed in mm. 2 ; ; h τ For the diameter of the ball is d The shear base area is S qτ The spherical cap height, i.e., the shear strength of diamond (see...) Figure 5 (as shown), mm; when h ≥ h τ hour, h τ = h .

[0068] Table 1 Allowable Shear Stress of Diamond Sphere diameter is d The base area is S qτ Ball height h τ Calculate and determine using the following formula: ; From equation (4-20), we can see that h τ yes e In engineering, the function... h τ The smaller the diamond size, the better it is for extending drill bit life. If the drill bit sintering temperature is too high, the diamond will graphitize, causing […]. t Insufficient value, when P K High value e When the value is large, then...h τ ≈ d / 2 indicates that the diamond cannot cut into or break the rock.

[0069] (4) Determine the ineffective wear height of each diamond. h W Calculation mode Ineffective wear height per diamond h W Calculate and determine using the following formula: ; From equation (4-21), we can see that h W yes e The function. In engineering, h W The smaller the value, the better it is for increasing drill bit life.

[0070] 4.6 Determine the drop height of each diamond in the drill bit h T Calculation mode Based on the equality of equation (4-14) and equation (3-6), and based on equation (4-9), the wear resistance equivalent height of each diamond in the drill bit is... h K The relationship between the drilling parameters and the drilling parameters is determined by the following formula: ; Drill bit diamond drop height h T Calculate and determine using the following formula: ; Maximum drill bit life H max There must exist corresponding limit values ​​for the height at which each diamond falls off. h Tmin If the drilling pressure is low, when h T ≥ h Tmin When diamonds fall off the drill bit, this is called normal shedding. However, if the drilling pressure is too high, when... h T < h Tmin When diamonds in a drill bit fall out, it is called abnormal loss.

[0071] 4.7 Determine the inlay height corresponding to diamond detachment h B Calculation mode (1) Determine the number of wear-resistant revolutions for each diamond. r d Calculation mode To ensure the wear resistance of each diamond for a certain number of revolutions. r d for h K Value and d d The ratio of values. And according to the equality of equation (4-14) and equation (3-6), the number of revolutions per diamond that resists wear. r d Calculate and determine using the following formula: ; In the formula: r d The number of revolutions required to resist wear on each diamond, in revolutions.

[0072] (2) Determine r d Corresponding tire wear height h KT Calculation mode Number of wear-resistant revolutions per diamond r d Corresponding tire wear height h KT Calculate and determine using the following formula: ; In the formula: h KT The number of wear-resistant revolutions per diamond r d Corresponding tire wear height (see) Figure 6 (as shown), mm.

[0073] (3) Determine the inlay height of the matrix corresponding to the diamond falling out. h B Calculation mode Assuming the diamond begins to cut into the rock at the equivalent depth h At that time, the diamond tip height h R = h When a diamond falls out, the corresponding inlay height of the matrix... h B Calculate and determine using the following formula: ; In the formula: h B —The height of the bezel setting corresponding to the diamond falling out (see) Figure 6 (as shown), mm.

[0074] (4) Determine the inlay height of the matrix corresponding to the diamond fallout. hB Relationship with changes in relevant parameters If the encapsulation properties of the matrix material remain unchanged, the shrinkage stress of the matrix can be assumed to remain constant. When a diamond falls out, the cutting holding force of the matrix... F dBt It is directly proportional to the remaining setting force of the diamond, that is, to the diameter of the sphere. d Gao Wei h B The surface area of ​​the spherical crown is directly proportional to the cutting force of the diamond. F dt Cutting force of the tire carcass F dBt Equal (see also) Figure 7 As shown), if the drill bit parameters change, the corresponding matrix inlay height when the diamond falls out. h B The relationship with the changes in relevant parameters is determined by the following formula: ; As shown in equation (4-27), the height of the matrix setting corresponding to diamond detachment is... h B The equivalent depth of each diamond cutting into the rock h They are directly proportional.

[0075] A change in the hardness (HRC) of the drill bit matrix will alter its wear resistance. However, a change in the HRC hardness does not necessarily indicate a change in the matrix's shrinkage stress or its diamond-setting properties. Therefore, the present invention assumes that a change in the HRC hardness of the drill bit matrix will not lead to a change in the matrix's diamond-setting properties.

[0076] The parameter marking method involved in the technical method of this invention is as follows: the initial parameters of the drill bit are marked with a subscript "1"; after the drill bit parameters change, the corresponding parameters are marked with a subscript "2".

[0077] 5. Calculation and Determination Method of the Relationship between the Life of Impregnated Diamond Bits and Related Parameter Variations 5.1. Calculate and determine the rock abrasiveness coefficient to the drill bit matrix. l T Change relationship (1) Calculate and determine the rock abrasiveness coefficient of the drill bit matrix. l T1 Initial rock abrasiveness coefficient of drill bit matrix l T1 The results obtained from the engineering practice in step 1.2 F 11 , d 11The parameters are substituted into equation (3-7) to calculate and determine the parameters. When using multiple drill bit engineering practice parameters, l T1 The value should be the average and determined by the following formula: ; (2) Calculate and determine the rock abrasiveness coefficient of the drill bit matrix. l T2 Change relationship Rock abrasiveness coefficient of drill bit matrix l T The abrasiveness coefficient of the drill bit matrix represents its wear resistance and varies inversely with the HRC value, which also represents the wear resistance of the matrix. According to equation (4-8), the abrasiveness coefficient of the drill bit matrix is... l T The coefficient of abrasiveness of diamond to rock l d It is directly proportional. Therefore, the abrasiveness coefficient of the changed rock to the drill bit matrix l T2 Calculate and determine using the following formula: ; 5.2 Calculate and determine the amount of abrasion per revolution of the drill bit matrix. d T Change relationship (1) Calculate and determine the amount of abrasion per revolution of the drill bit matrix. d T1 Initial abrasion per revolution of the drill bit matrix d T1 ,Depend on l T1 , F Substitute the parameters into equation (3-4) to calculate and determine.

[0078] (2) Calculate and determine the amount of abrasion per revolution of the drill bit matrix. d T2 Change relationship Changes in drill bit matrix abrasion per revolution d T2 Calculate and determine using the following formula: ; 5.3 Calculation and Determination d - F The exponent m of the curve function d - F The exponent m of the curve function is obtained from the engineering practice in step 1.1.F 01 、 F 02 、 d 01 、 d 02 The parameters are substituted into Equation (2-16) for calculation and determination.

[0079] The magnitude of the m value reflects the ability of the impregnated diamond bit to achieve the penetration per revolution under the condition of the drilling pressure per unit area. F For different rocks, there are different m values values values values. For impregnated diamond bits that can self-sharpen and expose the cutting edges, through calculation and analysis, it is found that d - d - F The exponential m value of the curve function is between 1.0 < m ≤ 2.0. If the encountered lithology remains unchanged, it can be considered that the m value remains basically unchanged.

[0080] 5.4 Calculation and determination of the coefficient of diamond abrasiveness of rocks l d Variation relationship (1) Calculate and determine the equivalent depth of rock fragmentation by each diamond cutting into the rock h S Variation relationship The equivalent depth of rock fragmentation by each initial and changed diamond cutting into the rock h S1 、 h S2 are calculated and determined according to Step 2.2.

[0081] (2) Calculate and determine e d - F Slope of the linear function K εδ Variation relationship Initial and changed e d - F Slope of the linear function K εδ1 、 K εδ2 are calculated and determined according to Equation (2-14).

[0082] (3) Calculate and determine d - F Variation relationship of the coefficient a of the curve function ]Initial d 1- F The coefficient a1 of the 1 curve function, obtained from the engineering practice in Step 1.1F 01 , d 01 Substitute the parameters into equation (2-17) to calculate and determine.

[0083] After the change d 2- F The coefficient a2 of the curve function is determined by the following formula: ; (4) Calculate and determine the critical drilling pressure per unit area of ​​the drill bit. F L Change relationship Initial critical drill bit pressure per unit area F L1 ,Depend on K εδ1 The parameters such as a1 are substituted into equation (2-19) to calculate and determine.

[0084] The changed critical drilling pressure per unit area of ​​the drill bit F L2 Calculate and determine using the following formula: ; (5) Calculate and determine the rock's abrasiveness coefficient to diamond. l d Change relationship Initial rock abrasiveness coefficient to drill bit diamond l d1 ,Depend on l T1 , F L1 Substitute the parameters into equation (4-8) to calculate and determine.

[0085] The altered rock's abrasiveness coefficient to drill bit diamond l d2 Calculate and determine using the following formula: 5.5 Calculation and determination of the coefficient of variation of the contact area between diamond and rock e Change relationship (1) Calculate and determine the coefficient of variation of the contact area between diamond and rock. e 1 Initial diamond-rock contact area variation coefficient e 1. By F 1. K εδ1 The parameters such as a1 are substituted into equation (2-18) to calculate and determine.

[0086] (2) Calculate and determine the coefficient of variation of the contact area between diamond and rock. e 2. Relationship of change The coefficient of change of the contact area between the diamond and the rock after the change e The relationship between 2 and its change is determined by the following formula: ; 5.6 Calculate and determine the diamond wear per revolution of the drill bit d d Change relationship Initial diamond wear per revolution of the drill bit d d1 ,Depend on d T1 , e 1. Substitute the parameters into equation (4-10) to calculate and determine.

[0087] The changed diamond wear per revolution of the drill bit d d2 Calculate and determine using the following formula: ; 5.7 Calculate and determine the advance per revolution d Change relationship Initial advance per revolution d 1, by a1, F 1. Substitute the parameters into equation (2-15) to calculate and determine.

[0088] The changed advance per revolution d 2. Calculate and determine using the following formula: ; 5.8 Calculation and Determination of Drill Bit Life H Change relationship Initial drill bit life H 1. By l T1 , d 1. F 1. Substitute the parameters into equation (3-6) to calculate and determine.

[0089] Changes in drill bit life H 2. Calculate and determine using the following formula: ; 6. Calculation and Determination Method of Maximum Drill Bit Life and Related Parameter Variation 6.1 Calculate and determine the initial maximum drill bit life H 1max and the corresponding main parameters (1) Calculate and determine the initial drilling pressure limit value per unit area. F 1max Based on the parameters obtained from engineering practice in step 1.2, the initial drill bit's unit area drilling pressure limit value is determined. F 1max Calculate and determine using the following formula (see below) Figure 4 (as shown) ; (2) Calculate and determine the initial limit value of the coefficient of variation of diamond-rock contact area. e 1min Initial limit value of the coefficient of variation of diamond-rock contact area e 1min ,Depend on K εδ1 a1 F 1max The parameters are substituted into equation (2-18) to calculate and determine.

[0090] (3) Calculate and determine the initial advance limit value per revolution. d 1max Initial advance limit per revolution d 1max , by a1, F 1max Substitute the parameters into equation (2-15) to calculate and determine.

[0091] (4) Calculate and determine the initial maximum drill bit life. H 1max Initial maximum drill bit life H 1max ,Depend on l T1 , d 1max , F 1max Substitute the parameters into equation (3-6) to calculate and determine.

[0092] (5) Calculate and determine the initial limit value of ineffective wear height per diamond. h W1min Initial limit value for ineffective wear height per diamond h W1min ,Depend on d 1. e 1min , h S1 、[ t 1] Substitute the parameters into equation (4-21) to calculate and determine, when h W1min When ≤ 0, take h W1min= 0.

[0093] (6) Calculate and determine the initial wear resistance equivalent height limit value per diamond. h K1min Initial wear resistance equivalent height limit value per diamond h K1min ,Depend on e 1min , K εδ1 , F L1 The parameters are substituted into equation (4-22) to calculate and determine.

[0094] (7) Calculate and determine the initial limit value for the height of each diamond that has fallen off. h T1min Initial limit value for the height of each diamond that has fallen off h T1min ,Depend on d 1. e 1min , K εδ1 , F L1 , h W1min The parameters are substituted into equation (4-23) to calculate and determine.

[0095] (8) Calculate and determine the limit value of the matrix inlay height corresponding to the initial diamond loss. h B1min The initial diamond loss corresponds to the limit value of the matrix inlay height. h B1min ,Depend on d 1. d 1max , e 1min , h S1 , h W1min The parameters are substituted into equation (4-26) to calculate and determine.

[0096] 6.2 Calculate and determine the maximum lifespan of the drill bit after the change. H 2max and the corresponding main parameters (1) Calculate and determine the limit value of the change coefficient of the contact area between diamond and rock after the change. e 2min ① Determine whether the condition is met h min ≥ h τminconditions satisfy h min ≥ h τmin The condition for the limit value of the coefficient of variation of the contact area between diamond and rock. e min The following requirements should be met: ; because e min >0, when the requirement of equation (6-2) is met, the allowable shear stress of diamond is [ t The following requirement should be met: > ； Conversely, if the requirements of equations (6-2) and (6-3) are not met, then it is determined to be... h τmin > h min .

[0097] ② Calculate and determine the limit value of the change coefficient of the contact area between diamond and rock after the change. e 2min First assume e 2min The changed advance per revolution limit value is calculated using the approximation method according to formula (6-4). d 2max : ; Then by d 2. e 2min , h S2 、[ t [2] Substituting the parameters into equation (4-21), the changed limit value of the ineffective wear height per diamond is calculated using the approximation method. h W2min ,when h W2min When ≤ 0, take h W2min = 0.

[0098] Then, calculate the limit value of the matrix inlay height corresponding to the changed diamond detachment according to the following formulas (6-5) and (6-6). h B2min When equation (6-5) equals equation (6-6), it represents the limit value of the variation coefficient of the diamond-rock contact area after the change. e 2min The explanation.

[0099] ; ; (2) Calculate and determine the changed drilling pressure limit value per unit area. F 2max Changes in drilling pressure limit per unit area F 2max Calculate and determine using the following formula: (3) Calculate and determine the new wear resistance equivalent height limit value for each diamond. h K2min The revised wear resistance equivalent height limit value per diamond h K2min ,Depend on e 2min , K εδ2 , F L2 The parameters are substituted into equation (4-22) to calculate and determine.

[0100] (4) Calculate and determine the limit value of the detachment height of each diamond after the change. h T2min The changed limit height for each diamond to fall off h T2min ,Depend on d 2. e 2min , K εδ2 , F L2 , h W2min The parameters are substituted into equation (4-23) to calculate and determine.

[0101] (5) Calculate and determine the maximum lifespan of the drill bit after the change. H 2max Modified maximum drill bit life H 2max Calculate and determine using the following formula: ; Matters not covered in this invention are common knowledge.

[0102] The above description is only a preferred embodiment of the present invention. It should be noted that for those skilled in the art, several improvements and modifications can be made without departing from the principle of the present invention, and these improvements and modifications should also be considered within the scope of protection of the present invention.

Claims

1. A method for calculating and determining the lifespan of impregnated diamond drill bits, characterized in that, The method includes the following steps: Step 1: Obtain drill bit parameters and rock parameters, and obtain relevant parameters based on engineering practice. Specifically, obtain the mechanical drilling speed parameters of impregnated diamond drill bits based on engineering practice, and obtain the relationship parameters between the life of impregnated diamond drill bits and the footage per revolution based on engineering practice. Step 2: Determine ε The functional relationships between the δ-F straight line, δ-F curve, and ε-F curve are specifically defined as follows: determining the relationship between the advance per revolution and relevant parameters, determining the equivalent depth of rock breaking per diamond grain in the rock, and determining the ε-F curve. Functional relationships between the δ-F line, δ-F curve, and ε-F curve; Step 3: Establish a calculation model for the life of impregnated diamond drill bits based on the amount of abrasion per revolution of the drill bit matrix, including determining the amount of abrasion per revolution of the drill bit matrix. δ T Determine the abrasion coefficient of the rock on the matrix per revolution. ψ Tr and the amount of wear per revolution of the drill bit body δ T Determine drill bit life H The calculation mode; Step 4: Establish a calculation model for the life of impregnated diamond drill bits based on the diamond wear per revolution. This specifically includes determining the diamond wear per revolution. δ d 、 Determine the wear coefficient of the rock on the diamond per revolution ψ dr ,Sure δ d value, δ T Value and ε The formula relating the values ​​is based on the wear rate of the diamond per revolution in the drill bit. δ d Determine the calculation model for drill bit life H and determine the ineffective wear height h of each diamond. W The calculation model determines the height h of each diamond drop from the drill bit. T The calculation model and determination of the matrix setting height h corresponding to diamond detachment. B The calculation mode; Step 5: Calculate and determine the rock's abrasiveness coefficient to diamond. λ d The relationship between the changes specifically includes calculating and determining the equivalent depth of rock fracture per diamond penetrating the rock. h S Change relationship, calculation determination ε δ - F slope of a linear function K εδ Change relationship, calculation determination δ - F The relationship between the coefficient 'a' of the curve function and the calculation to determine the critical drilling pressure per unit area of ​​the drill bit. F L The relationship between the changes and the calculation to determine the rock's abrasiveness coefficient to diamond. λ d The relationship between the changes and the coefficient of variation of the contact area between diamond and rock were calculated. ε The relationship between changes and the calculation of diamond wear per revolution of the drill bit δ d The relationship between changes and the calculation to determine the advance per revolution δ Determining drill bit life through changes and calculations H The changing relationship; Step 6: Calculation and determination method for the relationship between maximum drill bit life and changes in relevant parameters, specifically including calculating and determining the initial maximum drill bit life. H 1max And the corresponding main parameters, and calculate and determine the maximum lifespan of the drill bit after the changes. H 2max And the corresponding main parameters.

2. The method for calculating and determining the lifespan of an impregnated diamond drill bit according to claim 1, characterized in that, In step 2, determine ε The functional relationships between the δ-F line, δ-F curve, and ε-F curve include determining ε. Determine the δ-F linear function relationship, the δ-F curve function relationship, the ε-F curve function relationship, and the relationship between the δ-F curve and ε. The critical parameter for the intersection of the δ-F lines.

3. The method for calculating and determining the lifespan of an impregnated diamond drill bit according to claim 1, characterized in that, In step 3, the amount of abrasion per revolution of the drill bit matrix is ​​determined. δ T The specific process is as follows: when a diamond drill bit cuts rock, friction inevitably occurs between it and the rock. During this friction process, the rock's ability to wear down the cutting tool is called its abrasiveness or wear resistance. The magnitude of abrasiveness is expressed as the ratio of the volume of wear on the cutting tool to the frictional work consumed, and its unit is m. 3 / J. The wear of the drill bit matrix and diamond is related to frictional work. The wear volume of the drill bit matrix and diamond per revolution... V r Calculate and determine using the following formula: ； In the formula: V r This refers to the wear volume per revolution of the drill bit matrix and diamond. δ This represents the wear per revolution of the drill bit matrix and the diamond. δ = δ T , δ T This refers to the amount of wear per revolution of the drill bit matrix. S C The contact area between the drill bit lip and the rock. λ The coefficient of abrasiveness between the rock and the drill bit matrix and the diamond. λ = λ T , λ T The rock abrasiveness coefficient of the drill bit matrix is ​​determined by engineering practice parameters. A The frictional work per revolution of the drill bit; Friction work per drill bit revolution A Calculate and determine using the following formula: ； ； In the formula, F f The frictional resistance of the drill bit breaking rock. Substituting equation (3-2) into equation (3-1), the abrasion amount per revolution of the drill bit matrix is... δ T Calculate and determine using the following formula: ； In equation (3-4), the rock abrasiveness coefficient of the drill bit matrix is... λ T This represents the wear resistance of the drill bit matrix; if the drill bit diamond... d value, C The value has been determined, the rock type encountered has been determined, and the matrix hardness HRC, which represents wear resistance, has also been determined. λ T The value should already be determined, and when the diamond in the drill bit wears down normally without abnormal shedding, it can be assumed that... λ T The value remains unchanged.

4. The method for calculating and determining the lifespan of an impregnated diamond drill bit according to claim 1, characterized in that, In step 3, the abrasion coefficient of the rock on the matrix per revolution is determined. ψ Tr The specific process is as follows: the abrasion coefficient of the rock on the matrix per revolution ψ Tr Calculate and determine using the following formula: ； In the formula, ψ Tr denoted as the abrasion coefficient of the rock on the matrix per revolution.

5. The method for calculating and determining the lifespan of an impregnated diamond drill bit according to claim 1, characterized in that, In step 3, the amount of abrasion per revolution of the drill bit matrix is ​​determined. δ T Determine drill bit life H The specific process of the calculation model is as follows: based on the abrasion amount per revolution of the drill bit matrix. δ T Determined drill bit life H Calculate and determine using the following formula: ； In the formula: H For drill bit life, H Z This refers to the height of the drill bit matrix and the diamond working layer. As shown in equation (3-6), when the diamond in the drill bit wears normally and no abnormal loss occurs, the lifespan of the impregnated diamond drill bit is... H With each revolution advance δ They are directly proportional, and each revolution advances a foot. δ Drilling pressure per unit area F Related to increasing drilling pressure per unit area F This increases the advance per revolution. δ ,and, δ The increase was greater than F The increase in drilling pressure per unit area F This ultimately improves the lifespan of impregnated diamond drill bits. H； When increasing drilling pressure per unit area F Pursuing higher advance per revolution δ When the diamond in the drill bit falls off abnormally, the wear resistance of the diamond cannot be fully utilized, and the abrasiveness coefficient of the rock on the drill bit matrix decreases. λ T The value is significantly increased, and the drill bit life is extended. H Significantly reduced; Therefore, there should be a maximum value for drill bit life. H max The corresponding parameter is called the limit parameter, and there exists a corresponding limit value for drilling pressure per unit area. F max There is a corresponding advance limit value per revolution. δ max There exists a corresponding limit value for the coefficient of variation of the contact area between diamond and rock. ε min ; Rock abrasiveness coefficient of drill bit matrix λ T The parameters obtained from engineering practice are determined by calculation using the following formula: 。 6. The method for calculating and determining the lifespan of an impregnated diamond drill bit according to claim 1, characterized in that, Determine the inlay height h corresponding to the diamond detachment B The specific process of the calculation model is as follows: (1) Determine the number of wear-resistant revolutions for each diamond. r d The calculation mode determines the number of wear-resistant revolutions per diamond. r d for h K Value and δ d The ratio of values, and according to the equality of equation (4-14) and equation (3-6), the number of wear-resistant revolutions per diamond. r d Calculate and determine using the following formula: ； In the formula: r d The number of revolutions per diamond to resist wear; (2) Determine r d Corresponding tire wear height h KT The calculation mode, the number of wear-resistant revolutions per diamond. r d Corresponding tire wear height h KT Calculate and determine using the following formula: ； In the formula: h KT The number of wear-resistant revolutions per diamond r d The corresponding tire wear height; (3) Determine the inlay height of the matrix corresponding to the diamond falling out. h B The calculation model assumes that the diamond begins to cut into the rock at the equivalent depth. h At that time, the diamond tip height h R = h When a diamond falls out, the corresponding inlay height of the matrix. h B Calculate and determine using the following formula: ； In the formula: h B This represents the height of the inlay corresponding to the diamond falling out; (4) Determine the inlay height of the matrix corresponding to the diamond fallout. h B Regarding the relationship with changes in relevant parameters, if the encapsulation properties of the matrix material remain unchanged, it can be assumed that the shrinkage stress of the matrix remains constant. When diamonds fall out, the cutting holding force of the matrix... F dBt It is directly proportional to the remaining setting force of the diamond, that is, to the diameter of the sphere. d Gao Wei h B The surface area of ​​the spherical crown is directly proportional to the diamond cutting force. F dt Cutting force of the tire carcass F dBt Equal, if the drill bit parameters change, the corresponding matrix setting height for diamond detachment is equal. h B The relationship with the changes in relevant parameters is determined by the following formula: ； As shown in equation (4-27), the height of the matrix setting corresponding to diamond detachment is... h B The equivalent depth of each diamond cutting into the rock h Proportional relationship; A change in the hardness (HRC) of the drill bit matrix will affect its wear resistance. However, a change in the hardness (HRC) of the drill bit matrix does not necessarily mean a change in the shrinkage stress of the matrix or a change in its diamond setting performance. Therefore, we assume that a change in the hardness (HRC) of the drill bit matrix will not lead to a change in the matrix's diamond setting performance. The initial parameters of the drill bit are marked with subscript 1, and the parameters after the drill bit parameters change are marked with subscript 2.

7. The method for calculating and determining the lifespan of an impregnated diamond drill bit according to claim 1, characterized in that, In step 4, the specific process for determining the calculation model of drill bit life H is as follows: (1) Determine the wear resistance equivalent height of each diamond. h K The calculation model assumes that each diamond is worn down to its remaining height. h T Later, this diamond fell off, and the wear resistance equivalent height of each diamond was [not specified]. h K Calculate and determine using the following formula: ； In the formula: h K The wear resistance equivalent height of each diamond. h T The height at which each diamond fell off. h W The ineffective wear height per diamond; (2) Determine the total equivalent volume of diamond wear resistance in the drill bit V Ze The calculation model for the total equivalent volume of diamond wear resistance in drill bits. V Ze Calculate and determine using the following formula: ； ； In the formula: V Ze The total equivalent volume of diamond wear-resistant material in the drill bit. N Z This represents the total number of diamonds in the drill bit. (3) The wear of the diamond per revolution of the drill bit δ d Determine drill bit life H The calculation model is based on equations (4-1) and (4-12), which is determined by the diamond wear per revolution of the drill bit. δ d Determined drill bit life H Calculate and determine using the following formula: 。 8. The method for calculating and determining the lifespan of an impregnated diamond drill bit according to claim 1, characterized in that, In step 4, determine the ineffective wear height h of each diamond. W The calculation model and determination of the drop height h of each diamond in the drill bit T The specific process of the calculation model: (1) Determine the cutting force distributed per diamond per revolution F dt ， The torque shear force of the drill bit F t With frictional resistance F f Equal cutting force per diamond per revolution F dt Calculate and determine using the following formula: ； In the formula: F dt The cutting force allocated to each diamond per revolution. F t The torque shear force required by the drill bit to break rock. F t = F f g is the acceleration due to gravity, and we take g = 10 N / kg; (2) Determine the shear stress per diamond per revolution τ, The equivalent depth each diamond cuts into the rock h At that time, the diameter of the ball was d Gao Wei h Sphere bottom area S q Calculate and determine using the following formula: ； In the formula: S q For the diameter of the ball is d Gao Wei h The spherical notch bottom area, the shear stress per diamond per revolution τ Calculate and determine using the following formula: ； In the formula: τ This represents the shear stress per diamond per revolution; As can be seen from equation (4-17), because each diamond cuts into the rock to an equivalent depth... h Diamond average particle size d Much smaller, therefore, the shear stress per diamond per revolution τ It is mainly determined by the type of rock encountered during drilling; if the rock encountered is... P K Even with SMD40 grade diamonds, when the diamonds begin to sharpen and wear occurs, some diamonds are still sheared and broken, resulting in ineffective wear height per diamond. h W ; (3) Determine the shear strength of diamond h τ ， Satisfying the allowable shear stress of diamond [ τ When required, the shear resistance area of ​​diamond S qτ Calculate and determine using the following formula: ； In the formula: [ τ [This refers to the allowable shear stress of diamond.] S qτ This represents the shear strength area of ​​diamond. ； h τ For the diameter of the ball is d The shear base area is S qτ The spherical notch height, i.e., the shear resistance height of diamond, when h ≥ h τ hour, h τ = h ; Sphere diameter is d The base area is S qτ Ball height h τ Calculate and determine using the following formula: ； From equation (4-20), we can see that h τ yes ε In engineering, the function... h τ The smaller the diamond, the better it is for increasing drill bit life. If the sintering temperature of the drill bit is too high, the diamond will graphitize, causing […]. τ Insufficient value, when P K High value ε When the value is large, then... h τ ≈ d / 2 indicates that diamond cannot cut into or break rock; (4) Determine the ineffective wear height of each diamond. h W The calculation model for the ineffective wear height of each diamond. h W Calculate and determine using the following formula: ； From equation (4-21), we can see that h W yes ε In engineering, the function... h W The smaller the value, the better it is for increasing drill bit life; Based on the equality of equation (4-14) and equation (3-6), and based on equation (4-9), the wear resistance equivalent height of each diamond in the drill bit is... h K The relationship between the drilling parameters and the drilling parameters is determined by the following formula: ； Drill bit diamond drop height h T Calculate and determine using the following formula: ； Maximum drill bit life H max There must exist corresponding limit values ​​for the height at which each diamond falls off. h Tmin If the drilling pressure is low, when h T ≥ h Tmin When diamonds fall off the drill bit, it's called normal shedding. However, if the drilling pressure is too high, when... h T < h Tmin When diamonds in a drill bit fall out, it is called abnormal loss.

9. The method for calculating and determining the lifespan of an impregnated diamond drill bit according to claim 1, characterized in that, The specific process of step 5 is as follows: Step 5.1: Calculate and determine the rock abrasiveness coefficient to the drill bit matrix. λ T Change relationship (1) Calculate and determine the rock abrasiveness coefficient of the drill bit matrix. λ T1 ， Initial rock abrasiveness coefficient of drill bit matrix λ T1 Acquired from engineering practice F 11 , δ 11 The parameters are determined by substituting them into equation (3-7). When using multiple drill bit engineering practice parameters, λ T1 The value should be the average and determined by the following formula: ； (2) Calculate and determine the rock abrasiveness coefficient of the drill bit matrix. λ T2 The relationship between the variation of rock abrasiveness coefficient on drill bit body λ T The wear resistance coefficient of the drill bit matrix represents the wear resistance of the drill bit matrix and varies inversely with the HRC value, which represents the wear resistance of the matrix. According to equation (4-8), the rock abrasiveness coefficient of the drill bit matrix is... λ T The coefficient of abrasiveness of diamond to rock λ d The abrasiveness coefficient of the changed rock to the drill bit matrix is ​​directly proportional to this. λ T2 Calculate and determine using the following formula: ； Step 5.2: Calculate and determine the amount of wear per revolution of the drill bit matrix. δ T Change relationship (1) Calculate and determine the amount of abrasion per revolution of the drill bit matrix. δ T1 ， Initial abrasion per revolution of the drill bit matrix δ T1 ,Depend on λ T1 , F Substitute the parameters of 1 into equation (3-4) to calculate and determine; (2) Calculate and determine the amount of abrasion per revolution of the drill bit matrix. δ T2 The relationship between the changes, and the amount of abrasion per revolution of the drill bit matrix after the changes. δ T2 Calculate and determine using the following formula: ； Step 5.3: Calculate and determine δ - F the exponent m of the curve function δ - F the exponent m of the curve function, obtained from engineering practice F 01 、 F 02 、 δ 01 、 δ 02 parameters are substituted into Equation (2-16) to calculate and determine the value of m. The magnitude of m reflects the ability of the impregnated diamond bit to pursue the penetration per revolution under the condition of the drilling pressure per unit area F For different rocks, there are different values of m. For the impregnated diamond bit that can self-sharpen and cut, through calculation and analysis, it is found that δ - δ - F the curve function the exponent m value is between 1.0 < m ≤ 2.

0. If the encountered lithology remains unchanged, it can be considered that the m value is basically unchanged; Step 5.4: Calculate and determine the rock's abrasiveness coefficient to diamond. λ d Relationship of change: (1) Calculate and determine the equivalent depth of rock breaking per diamond penetrating the rock. h S The relationship between the changes, the initial and changed rock penetration, and the equivalent depth of rock fracture per diamond grain. h S1 , h S2； (2) Calculation and determination ε δ - F slope of a linear function K εδ The relationship of change, initial and subsequent. ε δ - F slope of a linear function K εδ1 , K εδ2 It is determined by calculation according to formula (2-14); (3) Calculation and determination δ - F The relationship between the coefficient 'a' of the curve function and its initial value. δ 1- F The coefficients a1 of the curve function are obtained from engineering practice. F 01 , δ 01 The parameters are substituted into equation (2-17) to calculate and determine; After the change δ 2- F The coefficient a2 of the curve function is determined by the following formula: ； (4) Calculate and determine the critical drilling pressure per unit area of ​​the drill bit. F L The relationship between the changes, and the initial critical drill bit pressure per unit area. F L1 ,Depend on K εδ1 The parameters of a1 are determined by substituting them into equation (2-19); The changed critical drill bit pressure per unit area F L2 Calculate and determine using the following formula: ； (5) Calculate and determine the rock's abrasiveness coefficient to diamond. λ d The relationship between the initial rock and the diamond abrasiveness coefficient of the drill bit. λ d1 ,Depend on λ T1 , F L1 Substitute the parameters into equation (4-8) to calculate and determine; The altered rock's abrasiveness coefficient to drill bit diamond λ d2 Calculate and determine using the following formula: ； Step 5.5: Calculate and determine the coefficient of variation of the contact area between diamond and rock. ε Change relationship (1) Calculate and determine the coefficient of variation of the contact area between diamond and rock. ε 1， Initial diamond-rock contact area variation coefficient ε 1. By F 1. K εδ1 The parameters of a1 are determined by substituting them into equation (2-18); (2) Calculate and determine the coefficient of variation of the contact area between diamond and rock. ε The relationship between 2 and the coefficient of change of the contact area between diamond and rock after the change. ε The relationship between 2 and its change is determined by the following formula: ； Step 5.6: Calculate and determine the diamond wear per revolution of the drill bit. δ d The relationship between the changes, the initial diamond wear per revolution of the drill bit. δ d1 ,Depend on δ T1 , ε Substitute the parameters into equation (4-10) to calculate and determine; The changed diamond wear per revolution of the drill bit δ d2 Calculate and determine using the following formula: ； Step 5.7: Calculate and determine the advance per revolution δ The changing relationship, the initial advance per revolution δ 1, by a1, F Substituting the parameters into equation (2-15) and calculating the changed advance per revolution, we can determine the advance. δ 2. Calculate and determine using the following formula: ； Step 5.8 Calculate and determine drill bit life H Change relationship Initial drill bit life H 1. By λ T1 , δ 1. F 1. Substitute the parameters into equation (3-6) to calculate and determine. Changes in drill bit life H 2. Calculate and determine using the following formula: 。 10. The method for calculating and determining the lifespan of an impregnated diamond drill bit according to claim 1, characterized in that, The specific process of step 6 is as follows: Step 6.1: Calculate and determine the initial maximum drill bit life. H 1max and the corresponding main parameters (1) Calculate and determine the initial drilling pressure limit value per unit area. F 1max ， Based on parameters obtained from engineering practice, the initial drill bit's unit area drilling pressure limit value F 1max Calculate and determine using the following formula: ； (2) Calculate and determine the initial limit value of the coefficient of variation of diamond-rock contact area. ε 1min ， Initial limit value of the coefficient of variation of diamond-rock contact area ε 1min ,Depend on K εδ1 a1 F 1max The parameters are substituted into equation (2-18) to calculate and determine; (3) Calculate and determine the initial advance limit value per revolution. δ 1max ， Initial advance limit per revolution δ 1max , by a1, F 1max The parameters are substituted into equation (2-15) to calculate and determine; (4) Calculate and determine the initial maximum drill bit life. H 1max ， Initial maximum drill bit life H 1max ,Depend on λ T1 , δ 1max , F 1max Substitute the parameters into equation (3-6) to calculate and determine; (5) Calculate and determine the initial limit value of ineffective wear height per diamond. h W1min ， Initial limit value for ineffective wear height per diamond h W1min ,Depend on d 1. ε 1min , h S1 、[ τ Substituting the parameters of [1] into equation (4-21) for calculation, when h W1min When ≤ 0, take h W1min = 0; (6) Calculate and determine the initial wear resistance equivalent height limit value per diamond. h K1min ， Initial wear resistance equivalent height limit value per diamond h K1min ,Depend on ε 1min , K εδ1 , F L1 The parameters are substituted into equation (4-22) to calculate and determine; (7) Calculate and determine the initial limit value for the height of each diamond that has fallen off. h T1min ， Initial limit value for the height of each diamond that has fallen off h T1min ,Depend on d 1. ε 1min , K εδ1 , F L1 , h W1min The parameters are substituted into equation (4-23) to calculate and determine; (8) Calculate and determine the limit value of the matrix inlay height corresponding to the initial diamond loss. h B1min ， The initial diamond loss corresponds to the limit value of the matrix inlay height. h B1min ,Depend on d 1. δ 1max , ε 1min , h S1 , h W1min The parameters are substituted into equation (4-26) to calculate and determine; Step 6.2: Calculate and determine the maximum lifespan of the drill bit after the change. H 2max and the corresponding main parameters (1) Calculate and determine the limit value of the change coefficient of the contact area between diamond and rock after the change. ε 2min ① Determine whether the condition is met h min ≥ h τmin conditions satisfy h min ≥ h τmin The condition for the limit value of the coefficient of variation of the contact area between diamond and rock. ε min The following requirements should be met: ； because ε min >0, when the requirement of equation (6-2) is met, the allowable shear stress of diamond is [ τ The following requirement should be met: > ； Conversely, if the requirements of equations (6-2) and (6-3) are not met, then it is determined to be... h τmin > h min ; ② Calculate and determine the limit value of the change coefficient of the contact area between diamond and rock after the change. ε 2min First assume ε 2min The changed advance per revolution limit value is calculated using the approximation method according to formula (6-4). δ 2max : ； Then by d 2. ε 2min , h S2 、[ τ [2] Substituting the parameters into equation (4-21), the changed limit value of the ineffective wear height per diamond is calculated using the approximation method. h W2min ,when h W2min When ≤ 0, take h W2min = 0; Then, calculate the limit value of the matrix inlay height corresponding to the changed diamond detachment according to the following formulas (6-5) and (6-6). h B2min When equation (6-5) equals equation (6-6), it represents the limit value of the variation coefficient of the diamond-rock contact area after the change. ε 2min Solution: ； ； (2) Calculate and determine the changed drilling pressure limit value per unit area. F 2max Changes in drilling pressure limit per unit area F 2max Calculate and determine using the following formula: ； (3) Calculate and determine the new wear resistance equivalent height limit value for each diamond. h K2min ， The revised wear resistance equivalent height limit value per diamond h K2min ,Depend on ε 2min , K εδ2 , F L2 Substitute the parameters into equation (4-22) to calculate and determine; (4) Calculate and determine the limit value of the detachment height of each diamond after the change. h T2min ， The changed limit height for each diamond to fall off h T2min ,Depend on d 2. ε 2min , K εδ2 , F L2 , h W2min Substitute the parameters into equation (4-23) to calculate and determine; (5) Calculate and determine the maximum lifespan of the drill bit after the change. H 2max Modified maximum drill bit life H 2max Calculate and determine using the following formula: 。

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