Auxiliary hole site determination method with rock breaking area and hole bottom resistance line changing in proportion

Abstract

The invention relates to the technical field of tunnel intelligent blasting hole site design, in particular to an auxiliary hole site determining method with the rock breaking area and the hole bottom resistance line changing in proportion, and the method comprises the steps that a horizontal section penetrating through a slotting area and slotting holes is established, hole sites of peripheral holes and slotting holes are determined, the hole opening distance and the hole bottom distance of the peripheral holes are set, and the hole opening distance and the hole bottom distance of the peripheral holes are determined; the hole positions of the last row of auxiliary holes are determined, and the total rock breaking area borne by the auxiliary holes in the horizontal section is obtained; setting an auxiliary hole bottom resistance line upper limit, and determining the row number of the auxiliary holes; setting a proportion sequence of rock breaking areas of the auxiliary holes, and determining the rock breaking area borne by each row of auxiliary holes; setting a proportion sequence of hole bottom resistance lines of the auxiliary holes, obtaining hole bottom positions of each row of the auxiliary holes, and obtaining hole opening positions of each row of the auxiliary holes; and when the hole bottom resistance line exceeds a set upper limit, adding a row of auxiliary holes, and updating the hole positions of each row of auxiliary holes until the hole bottom resistance line of the auxiliary holes meets the requirements.

Description

Technical Field

[0001] The invention relates to the technical field of tunnel intelligent blasting hole position design, and specifically describes an auxiliary hole position determination method in which both the rock breaking area and the hole bottom resistance line vary in proportion. Background Art

[0002] In tunnel blasting engineering, auxiliary holes are blast holes arranged between the slot holes and the peripheral holes. The present invention aims to give full play to the role of expanding the new free surface formed by slot blasting through accurate allocation of auxiliary holes, improve rock breaking efficiency, and save the number of holes and consumption of explosives.

[0003] The traditional auxiliary hole position design method has some defects, which restricts the optimization of the auxiliary hole position. First, the traditional method can only determine the position of the blasthole mouth, but cannot determine the distribution of the auxiliary hole bottom position. Since the explosives are concentrated at the bottom of the blasthole, it is of great significance to propose a method that considers the distribution of the auxiliary hole bottom position; secondly, in the traditional method, the rock breaking area is not considered as an indicator to measure the rationality of the design. Considering that the free surface conditions are constantly improving during the auxiliary hole blasting process, the post-detonation auxiliary hole can bear a larger rock breaking area; finally, considering the need to control the auxiliary hole bottom position and the distribution of the rock breaking area, it is imperative to propose a new method for dual-index collaborative optimization.

[0004] The difference between the present invention and the traditional method is that the present invention uses the rock breaking area and the hole bottom resistance line as design constraints, so that the design task has a unique solution. At the same time, the present invention does not need to preset the positions of the orifices of each row of auxiliary holes, but first obtains the hole bottom position and then determines the orifice position, thereby avoiding different calculation results of the hole bottom position due to different orifice position setting rules.

[0005] In view of the above-mentioned technical defects, this patent application is hereby filed. Summary of the invention

[0006] The purpose of the present invention is to overcome the shortcomings of the prior art and provide an auxiliary hole position determination method in which the rock breaking area and the hole bottom resistance line both change proportionally. The method is suitable for carrying out hole position calculation in the auxiliary hole position design according to the needs of controlling the hole bottom position and the rock breaking area distribution.

[0007] The present invention adopts the following technical solution:

[0008] An auxiliary hole position determination method in which both the rock breaking area and the hole bottom resistance line change in proportion, the method comprising the following steps:

[0009] S1. Establish a horizontal section through the cutout area and the cutout hole, determine the positions of the peripheral holes and the cutout hole, set the hole mouth distance and hole bottom distance of the peripheral holes, determine the positions of the last row of auxiliary holes, and obtain the total rock breaking area undertaken by the auxiliary holes in the horizontal section;

[0010] S2. Set the upper limit of the resistance line of the bottom of the auxiliary holes and determine the number of rows of auxiliary holes;

[0011] S3, setting a proportional sequence of the rock breaking areas of the auxiliary holes, and determining the rock breaking areas undertaken by each row of auxiliary holes;

[0012] S4, setting the ratio sequence of the auxiliary hole bottom resistance lines, obtaining the hole bottom position of each row of auxiliary holes, and obtaining the hole mouth position of each row of auxiliary holes;

[0013] S5. When the resistance line at the bottom of the hole exceeds the set upper limit, add a row of auxiliary holes and update the hole positions of each row of auxiliary holes until the resistance line at the bottom of the auxiliary holes meets the requirements.

[0014] Furthermore, in step S1, the total rock breaking area of ​​the auxiliary hole in the horizontal section is specifically:

[0015] The area enclosed by the projection of the last row of auxiliary holes in the horizontal section, the projection of the slot holes in the horizontal section, the intersection of the hole mouth section and the horizontal section, and the intersection of the hole bottom section and the horizontal section.

[0016] Furthermore, in step S1, the total rock breaking area of ​​the auxiliary hole in the horizontal section is obtained as follows:

[0017]

[0018] Among them, A sum is the total rock breaking area of ​​the auxiliary hole in the horizontal section, X RP is the horizontal coordinate of the bottom of the last row of auxiliary holes, X CP is the horizontal coordinate of the intersection of the slot hole and the bottom section of the hole, X RD is the horizontal coordinate of the hole opening of the last row of auxiliary holes, X CD is the horizontal coordinate of the slot hole mouth, and D is the designed advance.

[0019] Furthermore, in step S2, the number of rows of auxiliary holes is determined as follows:

[0020] K = ceil(X RP -X CP | / [W])

[0021] Wherein, K is the number of auxiliary hole rows, [W] is the upper limit of the resistance line at the bottom of the auxiliary holes, and ceil indicates that the logarithmic value is rounded upwards.

[0022] Furthermore, the specific steps of S3 are as follows:

[0023] S3.1 Set the rock breaking area of ​​the last row of auxiliary holes to be the same as the rock breaking area of ​​the first row of auxiliary holes. A times, then the ratio sequence of the rock breaking area of ​​the auxiliary hole is [RA (1),…,R A (k),…,R A (K)], specifically:

[0024] R A (k) = 1 + (k-1)(r A -1) / (K-1)(1<=k<=K)

[0025] Among them, R A (k) is the value of the kth row of auxiliary holes in the rock breaking area ratio sequence, K is the number of auxiliary hole rows; k is the auxiliary hole row number, the first row of auxiliary holes is numbered 1, and the last row of auxiliary holes is numbered K; r A It is the multiple of the rock breaking area of ​​the last row and the first row of auxiliary holes;

[0026] S3.2 Determine the rock breaking area of ​​each row of auxiliary holes, specifically:

[0027]

[0028] Among them, A(k) is the rock breaking area borne by each row of auxiliary holes.

[0029] Furthermore, the specific steps of S4 are as follows:

[0030] S4.1 Set the bottom resistance line of the last row of auxiliary holes to be the same as the bottom resistance line of the first row of auxiliary holes. W times, then the ratio sequence of the rock breaking area of ​​the auxiliary hole is [R W (1),…,R W (k),…,R W (K)], specifically:

[0031] R W (k) = 1 + (k-1)(r W -1) / (K-1)(1<=k<=K)

[0032] Among them, R W (k) is the value of the kth row of auxiliary holes in the hole bottom resistance line ratio sequence; r W It is the multiple of the bottom resistance line of the last row and the first row of auxiliary holes;

[0033] S4.2 Divide the upper limit of the hole bottom resistance line by the multiple of the hole bottom resistance line r W As the initial value of the hole bottom resistance line, specifically:

[0034] W0=[W] / r W

[0035] Among them, W0 is the initial value of the hole bottom resistance line;

[0036] S4.3 Determine the bottom resistance line value of each row of auxiliary holes, specifically:

[0037] W(k)=R W (k)×W0(1<=k<=K)

[0038] Wherein, W(k) is the bottom resistance line value of each row of auxiliary holes;

[0039] S4.4 Starting from the first row of auxiliary holes, determine the bottom positions of the auxiliary holes row by row, specifically:

[0040] Find the position in the hole bottom section where the shortest distance to the axis of the front row of blastholes is equal to the resistance line value of the bottom of the auxiliary holes in this row. This position is taken as the bottom position of the auxiliary holes in this row;

[0041] S4.5 obtains the position of the orifice of each row of auxiliary holes, specifically:

[0042]

[0043] Among them, X D (k) is the horizontal coordinate of the orifice of the auxiliary holes in the kth row; X P (i) is the horizontal coordinate of the bottom of the auxiliary holes in the i-th row; X P (i-1) is the horizontal coordinate of the bottom of the auxiliary holes in the i-1th row;

[0044] S4.6 When there is a large gap between the bottom resistance line of the last row of auxiliary holes and the set value W(K), an error function is established to correct the initial value of the bottom resistance line and update the position of each row of auxiliary holes. When the gap is within an acceptable range, the final position of each row of auxiliary holes is obtained.

[0045] The beneficial effects of the present invention are: accurately determining the auxiliary hole position, giving full play to the role of the free surface formed by the first blasting hole, improving the rock breaking efficiency of the auxiliary hole, and saving the number of holes and the consumption of explosives. BRIEF DESCRIPTION OF THE DRAWINGS

[0046] Figure 1 Shown is a flow chart of an auxiliary hole position determination method in which both the rock breaking area and the hole bottom resistance line vary proportionally in an embodiment of the present invention.

[0047] Figure 2 It is a schematic diagram of a method for obtaining the coordinates of both ends of the auxiliary hole by recursion in an embodiment of the present invention. DETAILED DESCRIPTION

[0048] In order to make the technical solution and advantages of the present application clearer, the technical solution of the present invention will be further described in detail below in conjunction with the accompanying drawings. It will be understood that the specific embodiments described herein are only partial embodiments of the present invention, which are only used to explain the present application, rather than to limit the present application. It should be noted that the technical features or combinations of technical features described in the following embodiments should not be considered isolated, 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.

[0049] In addition, unless otherwise defined, the technical terms or scientific terms used in the description of the present invention should have the common meanings understood by those skilled in the art in the art to which the present invention belongs.

[0050] The following is combined with Figure 1 The present invention is described in further detail.

[0051] An auxiliary hole position determination method in which both the rock breaking area and the hole bottom resistance line change in proportion comprises the following steps:

[0052] S1. Establish a horizontal section through the cutout area and the cutout hole, determine the positions of the peripheral holes and the cutout hole, set the hole mouth distance and hole bottom distance of the peripheral holes, determine the positions of the last row of auxiliary holes, and obtain the total rock breaking area undertaken by the auxiliary holes in the horizontal section;

[0053] S2. Set the upper limit of the resistance line of the bottom of the auxiliary holes and determine the number of rows of auxiliary holes;

[0054] S3, setting a proportional sequence of the rock breaking areas of the auxiliary holes, and determining the rock breaking areas undertaken by each row of auxiliary holes;

[0055] S4, setting the ratio sequence of the auxiliary hole bottom resistance lines, obtaining the hole bottom position of each row of auxiliary holes, and obtaining the hole mouth position of each row of auxiliary holes;

[0056] S5. When the resistance line at the bottom of the hole exceeds the set upper limit, add a row of auxiliary holes and update the hole positions of each row of auxiliary holes until the resistance line at the bottom of the auxiliary holes meets the requirements.

[0057] As for the auxiliary hole position determination method disclosed in the above-mentioned embodiment in which both the rock breaking area and the hole bottom resistance line vary proportionally, it can be understood by technicians in the field that its design determines the positions of the peripheral holes and the groove holes by establishing a horizontal section passing through the groove area and the groove hole, setting the hole mouth distance and the hole bottom distance of the peripheral holes, and determining the hole positions of the last row of auxiliary holes to obtain the total rock breaking area borne by the auxiliary holes in the horizontal section; and determining the number of rows of auxiliary holes by setting the upper limit of the auxiliary hole bottom resistance line; setting the proportional sequence of the auxiliary hole rock breaking areas to determine the rock breaking area borne by each row of auxiliary holes; setting the proportional sequence of the auxiliary hole bottom resistance lines to obtain the hole bottom positions of each row of auxiliary holes and the hole mouth positions of each row of auxiliary holes; and then when the hole bottom resistance line exceeds the set upper limit, adding a row of auxiliary holes and updating the hole positions of each row of auxiliary holes until the auxiliary hole bottom resistance line meets the requirements. That is, the positions of each row of auxiliary holes are updated based on the preset proportional sequence of the bottom resistance line and the rock broken area of ​​each row of auxiliary holes. The calculation speed is fast and the operability is strong. The positions of both ends of each row of auxiliary holes rather than one end can be obtained efficiently, thereby improving the rationality of blasting design and enhancing blasting effect.

[0058] In some optional embodiments, in the auxiliary hole position determination method in which both the rock breaking area and the hole bottom resistance line vary proportionally, in step S1, the total rock breaking area borne by the auxiliary hole in the horizontal section is specifically:

[0059] The area enclosed by the projection of the last row of auxiliary holes in the horizontal section, the projection of the slot holes in the horizontal section, the intersection of the hole mouth section and the horizontal section, and the intersection of the hole bottom section and the horizontal section.

[0060] In some optional embodiments, in the auxiliary hole position determination method in which both the rock breaking area and the hole bottom resistance line vary proportionally, in step S1, the total rock breaking area borne by the auxiliary hole in the horizontal section is obtained, specifically:

[0061]

[0062] Among them, A sum is the total rock breaking area of ​​the auxiliary hole in the horizontal section, X RP is the horizontal coordinate of the bottom of the last row of auxiliary holes, X CP is the horizontal coordinate of the intersection of the slot hole and the bottom section of the hole, X RD is the horizontal coordinate of the hole opening of the last row of auxiliary holes, X CD is the horizontal coordinate of the slot hole mouth, and D is the designed advance.

[0063] In some optional embodiments, in the above-mentioned auxiliary hole position determination method in which both the rock breaking area and the hole bottom resistance line vary proportionally, in step S2, the number of auxiliary hole rows is determined, specifically:

[0064] K = ceil(X RP -X CP | / [W])

[0065] Wherein, K is the number of auxiliary hole rows, [W] is the upper limit of the resistance line at the bottom of the auxiliary holes, and ceil indicates that the logarithmic value is rounded upwards.

[0066] In some optional embodiments, in the auxiliary hole position determination method in which both the rock breaking area and the hole bottom resistance line vary in proportion, the specific steps of S3 are as follows:

[0067] S3.1 Set the rock breaking area of ​​the last row of auxiliary holes to be the same as the rock breaking area of ​​the first row of auxiliary holes. A times, then the ratio sequence of the rock breaking area of ​​the auxiliary hole is [R A (1),…,R A (k),…,R A (K)], specifically:

[0068] R A (k) = 1 + (k-1)(r A -1) / (K-1)(1<=k<=K)

[0069] Among them, R A (k) is the value of the kth row of auxiliary holes in the rock breaking area ratio sequence, K is the number of auxiliary hole rows; k is the auxiliary hole row number, the first row of auxiliary holes is numbered 1, and the last row of auxiliary holes is numbered K; r A It is the multiple of the rock breaking area of ​​the last row and the first row of auxiliary holes;

[0070] S3.2 Determine the rock breaking area of ​​each row of auxiliary holes, specifically:

[0071]

[0072] Among them, A(k) is the rock breaking area borne by each row of auxiliary holes.

[0073] In some optional embodiments, in the auxiliary hole position determination method in which both the rock breaking area and the hole bottom resistance line change in proportion, the specific steps of S4 are as follows:

[0074] S4.1 Set the bottom resistance line of the last row of auxiliary holes to be the same as the bottom resistance line of the first row of auxiliary holes. W times, then the ratio sequence of the rock breaking area of ​​the auxiliary hole is [R W (1),…,R W (k),…,R W (K)], specifically:

[0075] R W (k) = 1 + (k-1)(r W-1) / (K-1)(1<=k<=K)

[0076] Among them, R W (k) is the value of the kth row of auxiliary holes in the hole bottom resistance line ratio sequence; r W It is the multiple of the bottom resistance line of the last row and the first row of auxiliary holes;

[0077] S4.2 Divide the upper limit of the hole bottom resistance line by the multiple of the hole bottom resistance line r W As the initial value of the hole bottom resistance line, specifically:

[0078] W0=[W] / r W

[0079] Among them, W0 is the initial value of the hole bottom resistance line;

[0080] S4.3 Determine the bottom resistance line value of each row of auxiliary holes, specifically:

[0081] W(k)=R W (k)×W0(1<=k<=K)

[0082] Wherein, W(k) is the bottom resistance line value of each row of auxiliary holes;

[0083] S4.4 As attached Figure 2 As shown, starting from the first row of auxiliary holes, the bottom positions of the auxiliary holes are determined row by row, specifically:

[0084] Find the position in the hole bottom section where the shortest distance to the axis of the front row of blastholes is equal to the resistance line value of the bottom of the auxiliary holes in this row. This position is taken as the bottom position of the auxiliary holes in this row;

[0085] S4.5 obtains the position of the orifice of each row of auxiliary holes, specifically:

[0086]

[0087] Among them, X D (k) is the horizontal coordinate of the orifice of the auxiliary holes in the kth row; X P (i) is the horizontal coordinate of the bottom of the auxiliary holes in the i-th row; X P (i-1) is the horizontal coordinate of the bottom of the auxiliary holes in the i-1th row;

[0088] Matlab programming software can be used to write a loop program to perform recursive calculations on the auxiliary hole bottom and hole mouth positions.

[0089] S4.6 When there is a large gap between the bottom resistance line of the last row of auxiliary holes and the set value W(K), an error function is established to correct the initial value of the bottom resistance line and update the position of each row of auxiliary holes. When the gap is within an acceptable range, the final position of each row of auxiliary holes is obtained.

[0090] The various examples in the specification are described in a progressive manner, and each example focuses on the differences from other examples. The same or similar parts between the various embodiments can be referenced to each other.

[0091] So far, this application has described the technical solutions of the present invention. Those skilled in the art should understand that the protection scope of the present invention is obviously not limited to these specific implementations. Without departing from the principles of the present invention, equivalent changes or replacements can be made to the relevant technical features of the present invention, and the technical solutions after these changes or replacements will fall within the protection scope of this application. The above embodiments are only exemplary and should not be used as a limitation on the scope of the rights of the present invention.

Claims

1. An auxiliary hole position determination method in which both the rock breaking area and the hole bottom resistance line change proportionally, It is characterized in that The method comprises the following steps: S1. Establish a horizontal section through the cutout area and the cutout hole, determine the positions of the peripheral holes and the cutout hole, set the hole mouth distance and hole bottom distance of the peripheral holes, determine the positions of the last row of auxiliary holes, and obtain the total rock breaking area undertaken by the auxiliary holes in the horizontal section; S2. Set the upper limit of the resistance line of the bottom of the auxiliary holes and determine the number of rows of auxiliary holes; S3, setting a proportional sequence of the rock breaking areas of the auxiliary holes, and determining the rock breaking areas undertaken by each row of auxiliary holes; S4, setting the ratio sequence of the auxiliary hole bottom resistance lines, obtaining the hole bottom position of each row of auxiliary holes, and obtaining the hole mouth position of each row of auxiliary holes; S5. When the resistance line at the bottom of the hole exceeds the set upper limit, add a row of auxiliary holes and update the hole positions of each row of auxiliary holes until the resistance line at the bottom of the auxiliary holes meets the requirements.

2. The auxiliary hole position determination method according to claim 1, wherein both the rock breaking area and the hole bottom resistance line vary in proportion. It is characterized in that In step S1, the total rock breaking area of ​​the auxiliary hole in the horizontal section is specifically: The area enclosed by the projection of the last row of auxiliary holes in the horizontal section, the projection of the slot holes in the horizontal section, the intersection of the hole mouth section and the horizontal section, and the intersection of the hole bottom section and the horizontal section.

3. The auxiliary hole position determination method according to claim 1 in which both the rock breaking area and the hole bottom resistance line vary in proportion, It is characterized in that In step S1, the total rock breaking area of ​​the auxiliary hole in the horizontal section is obtained as follows: Among them, A sum is the total rock breaking area of ​​the auxiliary hole in the horizontal section, X RP is the horizontal coordinate of the bottom of the last row of auxiliary holes, X CP is the horizontal coordinate of the intersection of the slot hole and the bottom section of the hole, X RD is the horizontal coordinate of the hole opening of the last row of auxiliary holes, X CD is the horizontal coordinate of the slot hole mouth, and D is the designed advance.

4. The auxiliary hole position determination method according to claim 1 in which both the rock breaking area and the hole bottom resistance line vary in proportion, It is characterized in that In step S2, the number of rows of auxiliary holes is determined, specifically: K=ceil(|X RP -X CP | / [W]) Wherein, K is the number of auxiliary hole rows, [W] is the upper limit of the resistance line at the bottom of the auxiliary holes, and ceil indicates that the logarithmic value is rounded upwards.

5. The auxiliary hole position determination method according to claim 1 in which both the rock breaking area and the hole bottom resistance line vary in proportion, It is characterized in that The specific steps of step S3 are: S3.1 Set the rock breaking area of ​​the last row of auxiliary holes to be the same as the rock breaking area of ​​the first row of auxiliary holes. A times, then the ratio sequence of the rock breaking area of ​​the auxiliary hole is [R A (1),…,R A (k),…,R A (K)], specifically: R A (k)=1+(k-1)(r A -1) / (K-1)(1<=k<=K) Among them, R A (k) is the value of the kth row of auxiliary holes in the rock breaking area ratio sequence, K is the number of auxiliary hole rows; k is the auxiliary hole row number, the first row of auxiliary holes is numbered 1, and the last row of auxiliary holes is numbered K; r A It is the multiple of the rock breaking area of ​​the last row and the first row of auxiliary holes; S3.2 Determine the rock breaking area of ​​each row of auxiliary holes, specifically: Among them, A(k) is the rock breaking area borne by each row of auxiliary holes.

6. The auxiliary hole position determination method according to claim 1, wherein both the rock breaking area and the hole bottom resistance line vary in proportion. It is characterized in that The specific steps of step S4 are: S4.1 Set the bottom resistance line of the last row of auxiliary holes to be the same as the bottom resistance line of the first row of auxiliary holes. W times, then the ratio sequence of the rock breaking area of ​​the auxiliary hole is [R W (1),…,R W (k),…,R W (K)], specifically: R W (k)=1+(k-1)(r W -1) / (K-1)(1<=k<=K) Among them, R W (k) is the value of the kth row of auxiliary holes in the hole bottom resistance line ratio sequence; r W It is the multiple of the bottom resistance line of the last row and the first row of auxiliary holes; S4.2 Divide the upper limit of the hole bottom resistance line by the multiple of the hole bottom resistance line r W As the initial value of the hole bottom resistance line, specifically: W 0 =[W] / r W Among them, W 0 is the initial value of the hole bottom resistance line; S4.3 Determine the bottom resistance line value of each row of auxiliary holes, specifically: W(k)=R W (k)×W 0 (1<=k<=K) Wherein, W(k) is the bottom resistance line value of each row of auxiliary holes; S4.4 Starting from the first row of auxiliary holes, determine the bottom positions of the auxiliary holes row by row, specifically: Find the position in the hole bottom section where the shortest distance to the axis of the front row of blastholes is equal to the resistance line value of the bottom of the auxiliary holes in this row. This position is taken as the bottom position of the auxiliary holes in this row; S4.5 obtains the position of the orifice of each row of auxiliary holes, specifically: Among them, X D (k) is the horizontal coordinate of the orifice of the auxiliary holes in the kth row; X P (i) is the horizontal coordinate of the bottom of the auxiliary holes in the i-th row; X P (i-1) is the horizontal coordinate of the bottom of the auxiliary holes in the i-1th row; S4.6 When there is a large gap between the bottom resistance line of the last row of auxiliary holes and the set value W(K), an error function is established to correct the initial value of the bottom resistance line and update the position of each row of auxiliary holes. When the gap is within an acceptable range, the final position of each row of auxiliary holes is obtained.

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