Method for determining the position of the bottom of the borehole when the minimum resistance line varies proportionally

Abstract

This invention relates to the field of intelligent blasting automatic design technology for roadways and tunnels, and discloses a method for determining the bottom position of a blast hole based on a proportionally varying minimum resistance line. The method includes determining the expected value of the bottom resistance line of the blast hole, the number of auxiliary hole rows and the position of the openings of each row of auxiliary holes, the ratio of the maximum to the minimum value of the bottom resistance line of each row of auxiliary holes, obtaining the ratio of the bottom resistance line of each row of auxiliary holes to the minimum value and the average value of the ratio, and obtaining the relative proportion between the ratio and the average value; calculating the product of the expected bottom resistance line value and the relative proportion to determine the bottom position of each row of auxiliary holes; calculating the error between the calculated value and the set value of the bottom resistance line of surrounding holes; establishing an error allocation function to update the expected value of the bottom resistance line of the blast hole until the resistance line error meets the requirements, and obtaining the final bottom position of each row of auxiliary holes. This application determines the bottom position of a blast hole based on the calculation results of the bottom resistance line in blasting design.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of intelligent blasting automatic design, and particularly relates to a method for determining a blast hole bottom position based on proportional change of a minimum resistance line. BACKGROUND

[0002] In coal mining, stone excavation, mine exploitation, railway and highway tunneling, high-speed rail manufacturing, water conservancy projects, and building demolition, a huge amount of energy generated by blasting is used to destroy the original structure of an object. This "destruction" effect cannot be replaced by other methods and is an important process. The blast hole resistance line is the main direction of the blasting effect and directly affects the blasting effect. Therefore, in the blasting design, the design of the blast hole resistance line is optimized, and based on this, the blast hole bottom position is reasonably determined, which plays an important role in improving the blasting effect and saving energy for limited resources. The blast hole bottom is the point with the maximum resistance line along the entire blast hole charging section. When the blast hole bottom resistance line size can ensure the destruction of the blasted rock mass, it can ensure that the resistance lines at other positions of the blast hole charging section can also meet the blasting needs.

[0003] Currently, the main trend of blasting construction is to use full-computer drill jumbo equipment for drilling operation, which can effectively reduce the difference between the actual size and the design size of the blast hole resistance line, thereby realizing strict control of drilling. Based on the full-computer drill jumbo, research on intelligent blasting design is carried out to achieve better blasting effect, which has become a research hotspot at present. Blasting design is a key pre-process of drilling operation, and its quality directly affects the blasting effect. The current design method only focuses on the hole position distribution of the drilling working surface (hole opening section), and ignores the design of the blast hole bottom resistance line and the hole bottom position. In the actual blasting process, the resistance line size of the blast hole at different positions and different initiation sequences should be reasonably determined and adjusted according to the actual situation, and there is currently no method that can effectively achieve this design goal. SUMMARY

[0004] The present application aims to provide a method for determining the blast hole bottom position based on proportional change of the minimum resistance line, so as to determine the blast hole bottom position based on the calculation results of the hole bottom resistance line in the blasting design.

[0005] To achieve the above-mentioned purpose, the present application adopts the following technical solutions:

[0006] The method for determining the blast hole bottom position based on proportional change of the minimum resistance line comprises:

[0007] S1, determining the expected value of the blast hole bottom resistance line;

[0008] S2, determining the number of auxiliary hole rows and the positions of the hole openings of each row of auxiliary holes;

[0009] S3, determining the ratio of the maximum value and the minimum value of the hole bottom resistance line of each row of auxiliary holes, obtaining the ratio of the hole bottom resistance line and the minimum value of each row of auxiliary holes and the average value of the ratio, and obtaining the relative proportion of the ratio and the average value;

[0010] S4, calculating the product of the expected value of the hole bottom resistance line and the relative proportion, determining the hole bottom position of each row of auxiliary holes, and calculating the error between the calculated value and the set value of the hole bottom resistance line of the peripheral hole;

[0011] S5, establishing an error distribution function, updating the expected value of the hole bottom resistance line through the error distribution function until the resistance line error meets the requirements, and obtaining the final position of the hole bottom of each row of auxiliary holes.

[0012] The principle and advantages of the scheme are: in actual application, by setting the ratio of the maximum value and the minimum value of the hole bottom resistance line of different rows of auxiliary holes, the ratio of the hole bottom resistance line and the minimum value of each row of auxiliary holes and the average value of the ratio are obtained, the relative proportion of the ratio and the average value of the hole bottom resistance line of each row of auxiliary holes is obtained, and the product of the expected value of the hole bottom resistance line and the relative proportion is calculated to determine the hole bottom position of each row of auxiliary holes, and the error between the calculated value and the set value of the hole bottom resistance line of the peripheral hole is calculated. Further, an error distribution function is established to update the expected value of the hole bottom resistance line until the resistance line error meets the requirements, and the final position of the hole bottom of each row of auxiliary holes is obtained. That is, based on the relative proportion and the error, the hole bottom resistance line of each row of holes is updated, the calculation converges quickly, and the final position of the hole bottom of each row of auxiliary holes can be efficiently obtained. On the basis of ensuring the control requirements of the resistance line error of the peripheral hole, the rationality of the blasting design is improved, and the blasting effect is improved.

[0013] Preferably, as an improvement, the method for determining the expected value of the hole bottom resistance line comprises: determining the expected value of the hole bottom resistance line according to the geological conditions, the blasting test results or the engineering experience.

[0014] Technical effect: On the premise of ensuring that the blasting can be smoothly implemented, the hole bottom resistance line is as large as possible to achieve the purpose of saving blast holes and blasting materials; only by setting the expected value can the number of auxiliary hole rows K be determined and subsequent operations can be carried out.

[0015] Preferably, as an improvement, the specific steps of S2 comprise:

[0016] S21, determining the section width and the footage; determining the inclination angle, the hole bottom distance and the over-depth of the cut hole; determining the hole mouth and hole bottom positions of the cut hole; determining the distances from the hole mouth and hole bottom of the peripheral hole to the section contour, and determining the hole mouth and hole bottom positions of the peripheral hole;

[0017] S22, calculate the distance between the slot hole and the hole bottom of the peripheral hole, divide the distance by the expected value of the hole bottom resistance line, and take the integer result of the quotient as the auxiliary hole row number, and determine the position of the auxiliary hole row.

[0018] Technical effects: The above steps provide a basis for determining the position of the auxiliary hole according to the proportional relationship of the hole bottom resistance line; the previous methods ignore the different blasting conditions possessed by different auxiliary holes, mainly the free surface condition and the rock movement space, which in turn affects the difficulty of rock breaking, resulting in waste or insufficient energy release during the process of hole rock breaking; the above steps determine the position of the auxiliary hole, which effectively improves the rock breaking effect of the auxiliary hole and improves the rationality of rock breaking task allocation; the blasting rock breaking task borne by each row of auxiliary holes is related to the blasting conditions possessed when it is initiated, and the blasting efficiency is improved.

[0019] Preferably, as an improvement, S3 comprises:

[0020] S31, set the auxiliary hole closest to the slot hole in each row to have the smallest hole bottom resistance line, and the auxiliary hole closest to the peripheral hole to have the largest hole bottom resistance line;

[0021] S32, set the maximum value of the hole bottom resistance line of each row of auxiliary holes to be greater than 1;

[0022] S33, calculate the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value, specifically:

[0023]

[0024] Wherein, K is the number of auxiliary hole rows; k is the auxiliary hole row number; R is the ratio of the maximum value to the minimum value of the hole bottom resistance line of different rows of auxiliary holes; r(k) is the ratio of the hole bottom resistance line of the kth row of auxiliary holes to the minimum value;

[0025] S34, calculate the average value of the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value, specifically:

[0026]

[0027] Wherein, rm is the average value of the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value;

[0028] S35, the relative proportion of the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value and the average value, specifically:

[0029]

[0030] Wherein, s(k) is the relative proportion of the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value and the average value.

[0031] Technical effects: Establish the proportional relationship between the values of the hole bottom resistance lines of each row of auxiliary holes. According to the relative proportion, the values of the hole bottom resistance lines of each row of auxiliary holes can be obtained by using recursive and iterative algorithms.

[0032] Preferably, as an improvement, S4 comprises:

[0033] S41, the product of the hole bottom resistance line expected value and the relative proportion, specifically:

[0034] W(k) = s(k) * W0

[0035] Wherein, W(k) is the product of the hole bottom resistance line expected value and the relative proportion; s(k) is the relative proportion; W0 is the hole bottom resistance line expected value;

[0036] S42, starting from the auxiliary hole closest to the cut hole, determine the hole bottom position of the auxiliary hole row by row, specifically:

[0037] Solve the shortest distance from the planned working face to the axis of the front row of blast holes equal to the position of the W(k) value corresponding to the auxiliary hole row; take the position as the hole bottom position of the auxiliary hole row;

[0038] S43, calculate the error between the calculated value and the set value of the hole bottom resistance line of the peripheral hole, specifically:

[0039] E = W CC -W CS

[0040] Wherein, E is the error, W CC is the calculated value of the hole bottom resistance line of the peripheral hole, and W CS is the set value of the hole bottom resistance line of the peripheral hole.

[0041] Technical effects: By calculating the error between the calculated value and the set value of the hole bottom resistance line of the peripheral hole, timely adjustment can be made to ensure the demand.

[0042] Preferably, as an improvement, in S5, an error distribution function is established to update the expected value of the hole bottom resistance line, specifically:

[0043] W 0A = W 0B + λ * f(E, K)

[0044] Wherein, W 0A is the updated hole bottom resistance line expected value, W 0B is the hole bottom resistance line expected value before updating, λ is the set learning rate, and f(E, K) is the error distribution function considering the error E and the auxiliary hole row number K.

[0045] Technical effects:

[0046] Preferably, as an improvement, in S5, when the resistance line error cannot meet the requirement, the learning rate is adjusted.

[0047] Technical effects: By adjusting the learning rate, the resistance line error can meet the demand, thereby improving the accuracy. BRIEF DESCRIPTION OF DRAWINGS

[0048] Figure 1 Flow chart of the method for determining the position of the hole bottom of the blast hole with the minimum resistance line in proportion.

[0049] Figure 2 Schematic diagram of the design result of the hole bottom resistance line in proportion in the embodiment of the application. DETAILED DESCRIPTION

[0050] In order to make the technical solutions of the application and the advantages thereof clearer, the technical solutions of the application will be further described in detail below with reference to the drawings. It can be understood that the specific embodiments described herein are only some embodiments of the application, and are only used to explain the application, but not to limit the application. It should be noted that the technical features or combinations of technical features described in the following embodiments should not be considered in isolation, and they can be combined with each other to achieve better technical effects. The same reference numerals appearing in the drawings of the following embodiments represent the same features or components, which can be applied to different embodiments.

[0051] In addition, unless otherwise defined, the technical terms or scientific terms used in the description of the application should be the general meanings understood by the general technical personnel in the field of the application. The following will be further described in detail through the specific embodiments.

[0052] The embodiments are basically as shown in the accompanying drawings: Figure 1

[0053] The method for determining the position of the hole bottom of the blast hole with the minimum resistance line in proportion comprises:

[0054] S1, determining the expected value of the hole bottom resistance line of the blast hole; the application aims to ensure that the size of the hole bottom resistance line of the blast hole is as large as possible without exceeding the standard; the method for determining the expected value of the hole bottom resistance line comprises: determining the expected value of the hole bottom resistance line according to the geological conditions, the blasting test results or the engineering experience; when the geological conditions are good, the expected value of the resistance line is relatively small, and vice versa, the expected value of the resistance line is relatively large; among the distance values that can ensure the completion of the rock breaking task of the blast hole through the blasting test results and the engineering experience, the larger value is taken as the expected value of the resistance line; the expected value of the resistance line is determined by comprehensively using the above value determination principles.

[0055] ​Blast hole includes cut hole, auxiliary hole, peripheral hole, bottom hole. Among them, the auxiliary hole is the most type of blast hole in the entire section of the blasting rock. In the absence of specific cases, the blast hole refers to the auxiliary hole.

[0056] S2, determine the auxiliary hole row and the position of each row of auxiliary hole orifice; as shown, the specific steps of S2 include: Figure 2

[0057] S21, determine the width and footage of the section; determine the inclination angle, hole bottom distance and over depth of the cut hole; determine the orifice and hole bottom position of the cut hole; determine the distance of the orifice and hole bottom of the peripheral hole to the section contour, determine the orifice and hole bottom position of the peripheral hole;

[0058] The size of the section needs to meet the needs of pedestrians, transportation, ventilation, safety facilities and equipment installation, maintenance and construction. The section size depends on the purpose of the roadway and tunnel, the number and specifications of the machinery, equipment or transportation equipment to be stored or passed, the width of the sidewalk and various safety gaps, and the air volume passing through the roadway. When designing the section size, according to the above factors and the provisions of the relevant regulations and standards, first of all, the net section size is determined, and the wind speed calculation is carried out; secondly, according to the support parameters and the roadbed parameters, the design excavation section size of the roadway is calculated, and the calculation excavation section size of the roadway is calculated according to the allowed increase value; finally, the roadway section drawing including the wall foot and ditch is drawn in proportion, and the roadway feature table and the per meter roadway engineering quantity and material consumption table are prepared.

[0059] The sequence of the arrangement of various blast holes in the working face is: first, select appropriate cut method and cut position, second, arrange peripheral holes, and finally arrange auxiliary holes according to the size of the section. The auxiliary hole and the peripheral hole are uniformly arranged, generally the auxiliary hole is taken 0.5-0.8m, the peripheral hole is taken 0.4-0.6m, and the peripheral hole is taken 0.1-0.2m from the roadway contour line. The distance between the bottom holes is generally 0.4-0.7m.

[0060] Peripheral hole is a blast hole drilled on the perimeter of the excavation section during underground blasting; in order to make the outline shape of the blasting complete, the method of controlled blasting is usually used to arrange and load the peripheral blast hole.

[0061] The cut hole is arranged at the low position of the center of the working face, and the cut hole is first detonated in order to throw the center rock out, increase the free surface of the surrounding rock, and achieve the best blasting effect; first, the upper part of the rock in the working face is broken down, so that the working face forms a second free surface, which creates favorable conditions for the blasting of other blast holes; the quality of the cut hole plays a decisive role in improving the rock breaking efficiency and cycle footage; select a reasonable cut method and charge amount to make the rock completely broken to form an ideal slot; the cut method is divided into two types: inclined cut and straight cut.

[0062] Auxiliary hole is a blast hole drilled between the cut hole and the peripheral hole.​

[0063] S22, calculate the distance between the slot hole and the hole bottom of the peripheral hole, divide the distance by the expected value of the hole bottom resistance line of the blast hole, take the integer result of the quotient as the auxiliary hole row number, and determine the position of the hole mouth of each row of auxiliary holes.

[0064] S3, determine the ratio of the maximum value to the minimum value of the hole bottom resistance line of each row of auxiliary holes, that is, a numerical sequence, to control the amplitude of the proportional change of the resistance line as a whole. Get the ratio of the hole bottom resistance line to the minimum value of each row of auxiliary holes and the average value of the ratio, and obtain the relative proportion of the ratio and the average value.

[0065] The relationship between the values in S3 is illustrated as follows:

[0066] For example, a total of 4 rows of auxiliary holes are designed, and the 4 rows of blast holes are sequentially initiated.

[0067] Suppose the hole bottom resistance line of the first row of auxiliary holes is W, and the hole bottom resistance line of the second row of auxiliary holes is (1+α)W, the hole bottom resistance line of the third row of auxiliary holes is (1+2*α)W, and the hole bottom resistance line of the fourth row of auxiliary holes is (1+3*α)W.

[0068] Therefore, the maximum value of the hole bottom resistance line is (1+3*α)W, and the minimum value of the hole bottom resistance line is W, so the ratio of the maximum value to the minimum value is (1+3*α)W, and the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value is 1, (1+α), (1+2*α), (1+3*α), respectively, and the average value of the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value is [1+(1+α)+(1+2*α)+(1+3*α)] / 4.

[0069] Among them, the ratio of the maximum value to the minimum value, and the average value of the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value are numerical values, and the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value is a numerical sequence.

[0070] The target of the present application is to arrange K rows of auxiliary holes according to a certain rule within a relatively fixed scale blasting interval, and the rule is that the hole bottom resistance line of each row of auxiliary holes changes proportionally. A series of complex operations are required.

[0071] It is set that the ratio of the maximum value to the minimum value can control the amplitude of the proportional change of the resistance line as a whole, regardless of the scale of the blasting interval or the number of auxiliary hole rows. As long as the ratio of the maximum value to the minimum value is grasped, the final design result can be conveniently obtained through a fixed operation process. And calculating the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value is to expand the ratio of the maximum value to the minimum value (numerical value) into a numerical sequence according to the initiation sequence, in order to achieve the design of the hole bottom resistance line “proportional change”.

[0072] The S3 comprises:

[0073] S31, set the auxiliary hole closest to the cut hole in each row to have the smallest hole bottom resistance line, and the auxiliary hole closest to the peripheral hole to have the largest hole bottom resistance line; determine that the hole bottom resistance line of the auxiliary hole closest to the cut hole is the minimum value of the hole bottom resistance lines of the auxiliary holes in each row, and vice versa, the hole bottom resistance line of the auxiliary hole closest to the peripheral hole is the maximum value of the hole bottom resistance lines of the auxiliary holes in each row; if the maximum value and the minimum value are set reversely, a completely different design effect will be obtained, resulting in a blasting failure.

[0074] S32, set the maximum value divided by the minimum value of the hole bottom resistance lines of the auxiliary holes in each row to be greater than 1;

[0075] S33, calculate the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value, specifically:

[0076]

[0077] Wherein, K is the number of auxiliary hole rows; k is the auxiliary hole row number; R is the ratio of the maximum value to the minimum value of the hole bottom resistance lines of different rows of auxiliary holes; r(k) is the ratio of the hole bottom resistance line of the kth row of auxiliary holes to the minimum value;

[0078] S34, calculate the average value of the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value, specifically:

[0079]

[0080] Wherein, rm is the average value of the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value;

[0081] S35, the relative proportion of the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value and the average value, specifically:

[0082]

[0083] Wherein, s(k) is the relative proportion of the ratio of the hole bottom resistance line of each row of auxiliary holes to the minimum value and the average value.

[0084] S4, calculate the product of the hole bottom resistance line expected value and the relative proportion to determine the hole bottom position of each row of auxiliary holes, and calculate the error between the calculated value and the set value of the peripheral hole hole bottom resistance line; the S4 comprises:

[0085] S41, the product of the hole bottom resistance line expected value and the relative proportion, specifically:

[0086] W(k) = s(k) * W0

[0087] Wherein, W(k) is the product of the expected value of the hole bottom resistance line and the relative proportion; s(k) is the relative proportion; W0 is the expected value of the hole bottom resistance line;

[0088] S42, starting from the auxiliary hole closest to the cut hole, determine the hole bottom position of the auxiliary hole row by row, specifically:

[0089] Solve the shortest distance from the planned working face to the axis of the front row of blast holes equal to the position of the W(k) value corresponding to the auxiliary hole of the row; take the position as the hole bottom position of the auxiliary hole of the row;

[0090] S43, calculate the error between the calculated value and the set value of the hole bottom resistance line of the peripheral hole, specifically:

[0091] E = W CC -W CS

[0092] Wherein, E is the error, W CC is the calculated value of the hole bottom resistance line of the peripheral hole, and W CS is the set value of the hole bottom resistance line of the peripheral hole.

[0093] S5, establish an error distribution function, update the expected value of the hole bottom resistance line of the blast hole through the error distribution function until the resistance line error meets the requirements, and obtain the final position of the hole bottom of each row of auxiliary holes, that is, the resistance line error does not exceed the set upper limit value, and obtain the final position of the hole bottom of each row of auxiliary holes. In S5, the error distribution function is established, and the expected value of the hole bottom resistance line of the blast hole is updated, specifically:

[0094] W 0A = W 0B +λ*f(E,K)

[0095] Wherein, W 0A is the updated expected value of the hole bottom resistance line, W 0B is the expected value of the hole bottom resistance line before updating, λ is the set learning rate, and f(E,K) is the error distribution function considering the error E and the number of auxiliary hole rows K.

[0096] The iteration program can be written by using matlab programming software to update the expected value of the hole bottom resistance line of the blast hole.

[0097] In S5, when the resistance line error cannot meet the requirements, the learning rate is adjusted. The value of the learning rate can be determined by using the matlab programming software to write a function.

[0098] The learning rate is an adjustment parameter in the operation process, which determines the step size of each iteration, and at the same time makes the resistance line error move to the direction close to the allowable error, i.e. the upper limit value of the error. The learning rate is between 0 and 1; usually 0.5. When the calculation process converges slowly, the learning rate is constantly reduced, and when the calculation process converges too fast, the learning rate is appropriately increased.

[0099] The above is only an embodiment of the present application, and the specific technical solutions and / or common knowledge of the scheme are not described in detail. It should be pointed out that for those skilled in the art, without departing from the technical solutions of the present application, a number of modifications and improvements can be made, which should also be considered as the protection scope of the present application, which will not affect the effect and practicality of the present application. The protection scope claimed in the present application should be subject to the content of its claims, and the specific embodiments and the like in the specification can be used to explain the content of the claims.

Claims

1. A method for determining the position of the bottom of a blast hole with minimum resistance to scaling, characterized in that, The method comprises the following steps: S1, determining an expected value of a hole bottom resistance line of a blast hole; S2, determining the number of auxiliary hole rows and the positions of the hole mouths of the auxiliary holes in each row; S3, determining the ratio of the maximum value to the minimum value of the hole bottom resistance line of each row of auxiliary holes, obtaining the ratio of the hole bottom resistance line to the minimum value of each row of auxiliary holes and the average value of the ratio, and obtaining the relative proportion of the ratio to the average value; the S3 comprises: S31, setting that the auxiliary hole closest to the cut hole in each row has the minimum hole bottom resistance line, and the auxiliary hole closest to the peripheral hole has the maximum hole bottom resistance line; S32, setting that the maximum value divided by the minimum value of the hole bottom resistance line of each row of auxiliary holes is a value greater than 1; S33, calculating the ratio of the hole bottom resistance line to the minimum value of each row of auxiliary holes, specifically: wherein K is the number of auxiliary hole rows, k is the row number of the auxiliary hole, R is the ratio of the maximum value to the minimum value of the hole bottom resistance line of different rows of auxiliary holes, and r(k) is the ratio of the hole bottom resistance line to the minimum value of the kth row of auxiliary holes; S34, calculating the average value of the ratio of the hole bottom resistance line to the minimum value of each row of auxiliary holes, specifically: wherein rm is the average value of the ratio of the hole bottom resistance line to the minimum value of each row of auxiliary holes; S35, the relative proportion of the ratio of the hole bottom resistance line to the minimum value of each row of auxiliary holes to the average value, specifically: wherein s(k) is the relative proportion of the ratio of the hole bottom resistance line to the minimum value of each row of auxiliary holes to the average value; S4, calculating the product of the expected value of the hole bottom resistance line and the relative proportion, determining the hole bottom position of each row of auxiliary holes, and calculating the error between the calculated value and the set value of the hole bottom resistance line of the peripheral hole; S5, establishing an error distribution function, updating the expected value of the hole bottom resistance line of the blast hole through the error distribution function until the resistance line error meets the requirement, and obtaining the final position of the hole bottom of each row of auxiliary holes.

2. The method of determining the position of the bottom of a borehole with minimum resistance to linear variation according to claim 1, characterized in that, The method for determining the expected value of the hole bottom resistance line of the blast hole comprises: determining the expected value of the hole bottom resistance line of the blast hole according to the geological conditions, the blasting test results or the engineering experience.

3. The method of determining the position of the bottom of a borehole with minimum resistance to linear variation according to claim 2, characterized in that, The specific steps of the S2 comprise: S21, determining the cross section width and the footage, determining the inclination angle, the hole bottom distance and the overburden depth of the cut hole, determining the hole mouth and hole bottom positions of the cut hole, determining the distances from the hole mouth and hole bottom of the peripheral hole to the cross section contour, and determining the hole mouth and hole bottom positions of the peripheral hole; S22, calculating the distance between the hole bottoms of the cut hole and the peripheral hole, dividing the distance by the expected value of the hole bottom resistance line of the blast hole, and taking the integral result of the quotient as the number of auxiliary hole rows and determining the positions of the hole mouths of each row of auxiliary holes.

4. The method of determining the position of the bottom of a borehole with minimum resistance to linear variation according to claim 3, characterized in that: The S4 comprises: S41, the product of the expected value of the hole bottom resistance line and the relative proportion, specifically: wherein W(k) is the product of the expected value of the hole bottom resistance line and the relative proportion, s(k) is the relative proportion, and W0 is the expected value of the hole bottom resistance line; S42, starting from the auxiliary hole closest to the cut hole, determining the hole bottom position of the auxiliary hole row by row, specifically: solving the position in the planned working face, the shortest distance to the axis of the front row of blast holes being equal to the W(k) value corresponding to the row of auxiliary holes; taking the position as the hole bottom position of the row of auxiliary holes; S43, calculating the error between the calculated value and the set value of the hole bottom resistance line of the peripheral hole, specifically: where E is the error, W CC is the calculated value of the resistance line at the bottom of the peripheral hole, W CS is the set value of the resistance line at the bottom of the peripheral hole.

5. The method of determining the position of the bottom of a borehole with minimum resistive line variation according to claim 4, characterized in that: In the S5, the error distribution function is established, and the expected value of the hole bottom resistance line is updated, specifically: where W 0A is the updated expected value of the hole bottom resistance line, W 0B is the updated expected value of the hole bottom resistance line, λ is the set learning rate, and f(E, K) is an error distribution function that takes into account factors such as error E and auxiliary hole row number K.

6. The method of determining the position of the bottom of a borehole with minimum resistance to linear variation according to claim 5, characterized in that: In the S5, when the resistance line error cannot meet the requirements, the learning rate is adjusted.

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