A method for determining blast hole positions with varying new cavity area

Abstract

The present application relates to the technical field of intelligent blasting in laneway and tunnel, and discloses a method for determining blast hole positions with proportionally changed new area of blasting cavity, which comprises the following steps: determining the value range of the orifice distance and the hole bottom distance of the auxiliary holes on both sides and above the undercutting area; designing corresponding section size and design footage to determine the hole position parameters of the peripheral holes and the undercutting holes; establishing horizontal and vertical sections through the geometric center of the undercutting area to determine the projected area of the planned blasting cavity in the two sections and the row number of the auxiliary holes on both sides and above the undercutting area; setting the incremental ratio of the blasting cavity area row by row, and sequentially calculating the total new ratio of the blasting cavity area borne by the auxiliary holes of each row and the blasting cavity area borne by the auxiliary holes of each row; setting the distribution rule of the blast hole position at any one end, calculating the row distance of the blast hole orifice and the hole bottom of each row, and obtaining the position information of the auxiliary holes of each row.

Description

Technical Field

[0001] This invention relates to the field of intelligent blasting technology for roadways and tunnels, specifically to a method for determining the location of blast holes by proportionally varying the newly added area of ​​the blasting cavity. Background Technology

[0002] In tunnel blasting projects, the arrangement and design of blast holes are key factors that directly affect the blasting effect.

[0003] Currently, the main trend in tunnel construction is the promotion and application of fully computerized rock drilling rigs. After the adoption of fully computerized rock drilling rigs in tunnel engineering, on-site drilling operations are strictly carried out according to the design specifications, and the difference between the actual and design dimensions of the blast holes is effectively controlled. Based on the gradual increase in the size of the blast cavity, i.e., the gradual improvement of free surface conditions, it becomes possible to rationally plan the rock-breaking area undertaken by each blast hole, thereby better responding to the needs of the movement and ejection of confined rock mass after blasting.

[0004] However, traditional methods mainly focus on the distribution of borehole positions at the borehole opening, while neglecting the arrangement of borehole positions at the bottom of the borehole. This makes it impossible to reasonably allocate the rock-breaking area and blasting effect of different boreholes, which greatly reduces the blasting effect and blasting quality. Summary of the Invention

[0005] One of the objectives of this invention is to provide a method for determining the location of blast holes by proportionally varying the newly added area of ​​the blasting cavity, which can achieve reasonable planning of the arrangement of blast holes, thereby improving the blasting effect and blasting quality.

[0006] To achieve the above objectives, a method for determining the location of blast holes with proportionally varying newly added area of ​​the blasting cavity is provided, comprising the following steps:

[0007] S1. Based on the current bottom section and opening section of the hole, determine the range of the hole opening distance between the auxiliary holes on both sides and above the slotted area on the opening section, and determine the range of the hole bottom distance between the auxiliary holes on both sides and above the slotted area on the bottom section.

[0008] S2. Based on the current hole bottom section and hole opening section, design the corresponding section dimensions and design advance, and at the same time determine the hole position parameters of the peripheral holes and the slotted holes.

[0009] S3. Establish horizontal and vertical cross-sections passing through the geometric center of the cut area, and based on the horizontal and vertical cross-sections, determine the projected area of ​​the planned blasting cavity in the two cross-sections, as well as the number of rows of auxiliary holes on both sides and above the cut area.

[0010] S4. Set the incremental ratio of the blasting cavity area for each row, and calculate the total incremental ratio of the blasting cavity area borne by the auxiliary holes of each row and the blasting cavity area borne by the auxiliary holes of each row in turn according to the total incremental ratio calculation formula and the blasting cavity area calculation formula.

[0011] S5. Set the hole position distribution rule at any end of the blast hole. Based on the determined hole position distribution rule and the preset hole position determination formula, calculate the row spacing of the blast hole opening and bottom of each row, and obtain the position information of the auxiliary holes of each row.

[0012] The principle and effect of this scheme: In this scheme, firstly, based on the current bottom section and top section of the hole, the range of the hole opening distance of the auxiliary holes on both sides and above the slotted area is determined on the top section of the hole, and the range of the hole bottom distance of the auxiliary holes on both sides and above the slotted area is determined on the bottom section of the hole. Then, the corresponding cross-sectional dimensions and the design advance are designed. At the same time, the hole position parameters of the surrounding holes and the slotted holes also need to be determined.

[0013] Then, a horizontal and vertical section passing through the geometric center of the cut area is established on the bottom section of the hole. Based on the horizontal and vertical sections, the planned blasting cavity is projected onto the two sections to determine the projected area of ​​the planned blasting cavity on the two sections, as well as the number of rows of auxiliary holes on both sides and above the cut area.

[0014] Next, the incremental ratio of the blast cavity area was set for each row. After setting, the total incremental ratio calculation formula and the blast cavity area calculation formula were used to calculate the total incremental ratio of the blast cavity area borne by the auxiliary holes in each row, as well as the blast cavity area borne by the auxiliary holes in each row. Then, the hole position distribution rules at any end of the blast holes were set. Based on the hole position distribution rules and the preset hole position determination formula, the row spacing between the blast hole opening and bottom of each row was calculated, and the position information of the auxiliary holes in each row was generated.

[0015] This scheme determines the position of each row of blast holes based on the geometric relationship between the increase ratio of the blast cavity area undertaken by each row of auxiliary holes, the area, and the hole spacing. This enables rapid calculation of the hole positions, is highly operable, and can efficiently obtain the final position of each auxiliary hole, thereby improving the rationality of the blasting design and enhancing the blasting effect.

[0016] Furthermore, in step S1, based on the current bottom and top cross-sections of the borehole, the range of values ​​for the borehole opening distances on the top and bottom sides of the slotted area is determined on the top cross-section, and the range of values ​​for the bottom distances on the bottom and bottom sides of the slotted area is determined on the bottom cross-section, including:

[0017] Based on geological conditions, blasting test results, or engineering experience, determine the range of values ​​for the distance between the borehole openings of the auxiliary holes on both sides and above the slotted area on the borehole opening section, and determine the range of values ​​for the distance between the bottom of the auxiliary holes on both sides and above the slotted area on the borehole bottom section.

[0018] Beneficial effects: Determining the range of values ​​for the distance between the openings and bottoms of auxiliary holes on both sides and above the excavation area by using geological conditions, blasting test results, or engineering experience greatly improves the rationality and feasibility of the determination.

[0019] Furthermore, the hole position parameters in S2 include: the distance from the opening of the peripheral hole to the cross-sectional profile, the distance from the bottom of the peripheral hole to the cross-sectional profile, the bottom distance of the slotted hole, the extra depth of the slotted hole, the angle of the slotted hole, and the upper boundary height of the slotted area.

[0020] Beneficial effects: By determining the orifice position parameters from multiple angles, the accuracy and precision of orifice position parameter determination are greatly improved.

[0021] Furthermore, S3 includes:

[0022] S30. On the current borehole bottom section, establish a horizontal and a vertical section passing through the geometric center of the cut area, and project the planned blasting cavity onto the two sections. The projection of the horizontal section is two trapezoids symmetrical along the vertical centerline of the cut area. The upper base of the trapezoid is the distance from the two sides of the cut area within the borehole opening section to the trajectory of the surrounding borehole opening, and the lower base of the trapezoid is the distance from the two sides of the cut area within the borehole bottom section to the trajectory of the surrounding borehole bottom. The projection of the vertical section is a trapezoid above the cut area. The upper base of the trapezoid is the distance from the upper boundary of the cut area within the borehole opening section to the trajectory of the surrounding borehole opening, and the lower base of the trapezoid is the distance from the upper boundary of the cut area within the borehole bottom section to the trajectory of the surrounding borehole bottom.

[0023] S31. Based on the design advance, determine the projected area of ​​the planned blasting cavity on the two cross sections;

[0024] S32. Calculate the first data corresponding to the upper base width of the trapezoid in the horizontal section divided by the upper limit of the distance between the openings of the auxiliary holes on both sides of the slotted area; calculate the second data corresponding to the lower base width of the trapezoid in the horizontal section divided by the upper limit of the distance between the bottoms of the auxiliary holes on both sides of the slotted area; round the first data and the second data to generate the corresponding rounded results, and select the largest corresponding rounded result as the number of rows of auxiliary holes on both sides of the slotted area.

[0025] S33. Calculate the third data corresponding to the upper base length of the trapezoid in the vertical section divided by the upper limit of the distance between the auxiliary hole openings above the slotted area; calculate the fourth data corresponding to the lower base length of the trapezoid in the vertical section divided by the upper limit of the distance between the bottom of the auxiliary hole above the slotted area; round the third and fourth data to generate the corresponding rounded results, and select the largest corresponding rounded result as the number of rows of auxiliary holes above the slotted area.

[0026] Beneficial effects: In this scheme, firstly, horizontal and vertical sections passing through the geometric center of the cut area are established. Then, the planned blasting cavity is projected onto the two sections. The projected area of ​​the blasting cavity on the two sections is then determined based on the design advance. Subsequently, the number of rows of auxiliary holes on both sides and the top of the cut area is determined according to the projection of the planned blasting cavity on the two sections, greatly improving the accuracy of determining the number of rows of auxiliary holes on both sides and the top of the cut area.

[0027] Furthermore, the formula for calculating the total increase ratio is as follows:

[0028] r1(k1)=α×(k1-1)1≤k1≤K1

[0029] r2(k2)=β×(k2-1)1≤k2≤K2

[0030] Wherein, K1 is the number of rows of auxiliary holes on both sides of the cut area; k1 is the row number of auxiliary holes on both sides of the cut area; K2 is the number of rows of auxiliary holes above the cut area; k2 is the row number of auxiliary holes above the cut area; α is the row-by-row increasing ratio of the blasting cavity area borne by the auxiliary holes on both sides of the cut area; β is the row-by-row increasing ratio of the blasting cavity area borne by the auxiliary holes above the cut area; r1 is the total increase ratio of the blasting cavity area borne by the auxiliary holes on both sides of the cut area; r2 is the total increase ratio of the blasting cavity area borne by the auxiliary holes above the cut area.

[0031] Beneficial effects: In this scheme, the formula for calculating the total increase ratio combines the incremental ratio of the corresponding slotted area, which greatly improves the accuracy of the total increase ratio calculation.

[0032] Furthermore, the formula for calculating the area of ​​the blasting cavity is as follows:

[0033]

[0034]

[0035] Wherein, K1 is the number of rows of auxiliary holes on both sides of the cut area; k1 is the row number of auxiliary holes on both sides of the cut area; K2 is the number of rows of auxiliary holes above the cut area; k2 is the row number of auxiliary holes above the cut area; r1 is the total increase ratio of the blasting cavity area borne by the auxiliary holes on both sides of the cut area; r2 is the total increase ratio of the blasting cavity area borne by the auxiliary holes above the cut area; A is the total area of ​​the trapezoid in the horizontal section; B is the total area of ​​the trapezoid in the vertical section; A(k1) is the blasting cavity area borne by each row of auxiliary holes on both sides of the cut area; B(k2) is the blasting cavity area borne by each row of auxiliary holes above the cut area.

[0036] Beneficial effects: By setting the formula for calculating the area of ​​the blast cavity, the area of ​​the blast cavity can be calculated quickly, which greatly improves the efficiency of the calculation and provides a better basis for determining the location of the blast holes in subsequent blasting.

[0037] Furthermore, the formula for determining the hole position is:

[0038] S AP (k1)+S AD (k1)=2A(k1) / D 1≤k1≤K1

[0039] S BP (k1)+S BD (k2)=2B(k2) / D 1≤k2≤K2

[0040] Wherein, K1 is the number of rows of auxiliary holes on both sides of the cut area; k1 is the row number of the auxiliary holes on both sides of the cut area; K2 is the number of rows of auxiliary holes above the cut area; k2 is the row number of the auxiliary holes above the cut area; A(k1) is the blasting cavity area borne by each row of auxiliary holes on both sides of the cut area; B(k2) is the blasting cavity area borne by each row of auxiliary holes above the cut area; S AD (k1) represents the spacing between the rows of auxiliary holes on both sides of the slotted area; S AP (k1) is the bottom spacing of each row of auxiliary holes on both sides of the slotted area; S BD (k2) represents the spacing between the rows of auxiliary holes above the slotted area; S BP (k2) is the bottom spacing of each row of auxiliary holes above the slotted area; D is the designed advance.

[0041] Beneficial effects: By setting the formula for determining the hole position, the accuracy of hole position determination is greatly improved, enabling precise determination of the blast hole position and improving the efficiency of subsequent blasting. Attached Figure Description

[0042] Figure 1 This is a flowchart of the method for determining the borehole location by proportionally changing the newly added area of ​​the blasting cavity in Embodiment 1 of the present invention. Detailed Implementation

[0043] The following detailed description illustrates the specific implementation method:

[0044] Example 1

[0045] A method for determining borehole locations based on the proportionally varying increase in the area of ​​the blasting cavity, basically as follows: Figure 1 As shown, it includes the following steps:

[0046] S1. Based on the current borehole bottom and borehole opening sections, determine the range of borehole opening distances for the auxiliary holes on both sides and above the slotted area on the borehole opening section, and determine the range of borehole bottom distances for the auxiliary holes on both sides and above the slotted area on the borehole bottom section. In this embodiment, the slotting holes can be either inclined or straight. The purpose of this embodiment is to coordinate and control the distribution of rock-breaking area undertaken by different blast holes, primarily to ensure that the borehole positions achieve good rock mass fracturing effects and guarantee sufficient conditions for blasting quality.

[0047] In step S1, based on the current bottom and top cross-sections of the borehole, the range of values ​​for the borehole opening distances on the top and bottom sides of the slotted area is determined on the top cross-section. The range of values ​​for the bottom distances on the bottom and bottom sides of the slotted area is determined on the bottom cross-section, including:

[0048] Based on geological conditions, blasting test results, or engineering experience, determine the range of values ​​for the distance between the borehole openings of the auxiliary holes on both sides and above the slotted area on the borehole opening section, and determine the range of values ​​for the distance between the bottom of the auxiliary holes on both sides and above the slotted area on the borehole bottom section.

[0049] S2. Based on the current hole bottom section and hole opening section, design the corresponding section dimensions and design advance, and at the same time determine the hole position parameters of the peripheral holes and the slotted holes.

[0050] The hole position parameters in S2 include: the distance from the opening of the peripheral hole to the cross-sectional profile, the distance from the bottom of the peripheral hole to the cross-sectional profile, the bottom distance of the slotted hole, the extra depth of the slotted hole, the angle of the slotted hole, and the upper boundary height of the slotted area.

[0051] S3. Establish horizontal and vertical cross-sections passing through the geometric center of the cut area, and based on the horizontal and vertical cross-sections, determine the projected area of ​​the planned blasting cavity in the two cross-sections, as well as the number of rows of auxiliary holes on both sides and above the cut area.

[0052] S3 includes:

[0053] S30. On the current borehole bottom section, establish a horizontal and a vertical section passing through the geometric center of the cut area, and project the blasting cavity onto the two sections. The projection of the horizontal section is two trapezoids symmetrical along the vertical centerline of the cut area. The upper base of the trapezoid is the distance from the two sides of the cut area within the borehole opening section to the trajectory of the surrounding borehole opening, and the lower base of the trapezoid is the distance from the two sides of the cut area within the borehole bottom section to the trajectory of the surrounding borehole bottom. The projection of the vertical section is a trapezoid above the cut area. The upper base of the trapezoid is the distance from the upper boundary of the cut area within the borehole opening section to the trajectory of the surrounding borehole opening, and the lower base of the trapezoid is the distance from the upper boundary of the cut area within the borehole bottom section to the trajectory of the surrounding borehole bottom.

[0054] S31. Based on the design advance, determine the projected area of ​​the planned blasting cavity on the two cross sections;

[0055] S32. Calculate the first data corresponding to the upper base width of the trapezoid in the horizontal section divided by the upper limit of the distance between the openings of the auxiliary holes on both sides of the slotted area; calculate the second data corresponding to the lower base width of the trapezoid in the horizontal section divided by the upper limit of the distance between the bottoms of the auxiliary holes on both sides of the slotted area; round the first data and the second data to generate the corresponding rounded results, and select the largest corresponding rounded result as the number of rows of auxiliary holes on both sides of the slotted area.

[0056] S33. Calculate the third data corresponding to the upper base length of the trapezoid in the vertical section divided by the upper limit of the distance between the auxiliary hole openings above the slotted area; calculate the fourth data corresponding to the lower base length of the trapezoid in the vertical section divided by the upper limit of the distance between the bottom of the auxiliary hole above the slotted area; round the third and fourth data to generate the corresponding rounded results, and select the largest corresponding rounded result as the number of rows of auxiliary holes above the slotted area.

[0057] S4. Set the incremental ratio of the blasting cavity area for each row, and calculate the total incremental ratio of the blasting cavity area borne by the auxiliary holes of each row and the blasting cavity area borne by the auxiliary holes of each row in turn according to the total incremental ratio calculation formula and the blasting cavity area calculation formula.

[0058] The formula for calculating the total increase ratio is:

[0059] r1(k1)=α×(k1-1)1≤k1≤K1

[0060] r2(k2)=β×(k2-1)1≤k2≤K2

[0061] Wherein, K1 is the number of rows of auxiliary holes on both sides of the cut area; k1 is the row number of auxiliary holes on both sides of the cut area; K2 is the number of rows of auxiliary holes above the cut area; k2 is the row number of auxiliary holes above the cut area; α is the row-by-row increasing ratio of the blasting cavity area borne by the auxiliary holes on both sides of the cut area; β is the row-by-row increasing ratio of the blasting cavity area borne by the auxiliary holes above the cut area; r1 is the total increase ratio of the blasting cavity area borne by the auxiliary holes on both sides of the cut area; r2 is the total increase ratio of the blasting cavity area borne by the auxiliary holes above the cut area.

[0062] The formula for calculating the area of ​​the blasting cavity is:

[0063]

[0064]

[0065] Wherein, K1 is the number of rows of auxiliary holes on both sides of the cut area; k1 is the row number of auxiliary holes on both sides of the cut area; K2 is the number of rows of auxiliary holes above the cut area; k2 is the row number of auxiliary holes above the cut area; r1 is the total increase ratio of the blasting cavity area borne by the auxiliary holes on both sides of the cut area; r2 is the total increase ratio of the blasting cavity area borne by the auxiliary holes above the cut area; A is the total area of ​​the trapezoid in the horizontal section; B is the total area of ​​the trapezoid in the vertical section; A(k1) is the blasting cavity area borne by each row of auxiliary holes on both sides of the cut area; B(k2) is the blasting cavity area borne by each row of auxiliary holes above the cut area.

[0066] S5. Set the hole position distribution rule at any end of the blast hole. Based on the determined hole position distribution rule and the preset hole position determination formula, calculate the row spacing of the blast hole opening and bottom of each row, and obtain the position information of the auxiliary holes of each row.

[0067] The formula for determining the hole position is:

[0068] S AP (k1)+S AD (k1)=2A(k1) / D 1≤k1≤K1

[0069] S BP (k1)+S BD (k2)=2B(k2) / D 1≤k2≤K2

[0070] Wherein, K1 is the number of rows of auxiliary holes on both sides of the cut area; k1 is the row number of the auxiliary holes on both sides of the cut area; K2 is the number of rows of auxiliary holes above the cut area; k2 is the row number of the auxiliary holes above the cut area; A(k1) is the blasting cavity area borne by each row of auxiliary holes on both sides of the cut area; B(k2) is the blasting cavity area borne by each row of auxiliary holes above the cut area; S AD (k1) represents the spacing between the rows of auxiliary holes on both sides of the slotted area; S AP (k1) is the bottom spacing of each row of auxiliary holes on both sides of the slotted area; S BD (k2) represents the spacing between the rows of auxiliary holes above the slotted area; S BP (k2) is the bottom spacing of each row of auxiliary holes above the slotted area; D is the designed advance.

[0071] The above descriptions are merely embodiments of the present invention. Commonly known structures and characteristics are not described in detail here. Those skilled in the art are aware of all common technical knowledge in the field prior to the application date or priority date, are aware of all existing technologies in that field, and have the ability to apply conventional experimental methods prior to that date. Those skilled in the art can, based on the guidance provided in this application, improve and implement this solution in combination with their own capabilities. Some typical well-known structures or methods should not be obstacles for those skilled in the art to implement this application. It should be noted that those skilled in the art can make several modifications and improvements without departing from the structure of the present invention. These should also be considered within the scope of protection of the present invention, and will not affect the effectiveness of the implementation of the present invention or the practicality of the patent. The scope of protection claimed in this application should be determined by the content of its claims, and the specific embodiments described in the specification can be used to interpret the content of the claims.

Claims

1. A method for determining the location of blast holes based on a proportionally varying increase in the area of ​​the blasting cavity, characterized in that: Includes the following steps: S1. Based on the current bottom section and opening section of the hole, determine the range of the hole opening distance between the auxiliary holes on both sides and above the slotted area on the opening section, and determine the range of the hole bottom distance between the auxiliary holes on both sides and above the slotted area on the bottom section. S2. Based on the current hole bottom section and hole opening section, design the corresponding section dimensions and design advance, and at the same time determine the hole position parameters of the peripheral holes and the slotted holes. S3. Establish horizontal and vertical cross-sections passing through the geometric center of the cut area, and based on the horizontal and vertical cross-sections, determine the projected area of ​​the planned blasting cavity in the two cross-sections, as well as the number of rows of auxiliary holes on both sides and above the cut area. S4. Set the incremental ratio of the blast cavity area for each row, and calculate the total incremental ratio of the blast cavity area borne by the auxiliary holes in each row and the blast cavity area borne by the auxiliary holes in each row in turn according to the total incremental ratio calculation formula and the blast cavity area calculation formula. The formula for calculating the total increase ratio is: in, K 1 represents the number of rows of auxiliary holes on both sides of the slotted area; k 1 represents the numbering of the auxiliary holes on both sides of the slotted area; K 2 represents the number of rows of auxiliary holes above the slotted area; k 2 represents the numbering of the auxiliary holes above the slotted area; α The increasing ratio of the blast cavity area borne by the auxiliary holes on both sides of the cut area; β The increasing ratio of the blast cavity area borne by the auxiliary holes above the cut area; r 1 represents the total increase ratio of the blast cavity area borne by the auxiliary holes on both sides of the cut area; r 2 represents the total increase ratio of the blast cavity area borne by the auxiliary holes above the cut area; The formula for calculating the area of ​​the blasting cavity is: in, K 1 represents the number of rows of auxiliary holes on both sides of the slotted area; k 1 represents the numbering of the auxiliary holes on both sides of the slotted area; K 2 represents the number of rows of auxiliary holes above the slotted area; k 2 represents the numbering of the auxiliary holes above the slotted area; r 1 represents the total increase ratio of the blast cavity area borne by the auxiliary holes on both sides of the cut area; r 2 represents the total increase ratio of the blast cavity area borne by the auxiliary holes above the cut area; A The total area of ​​the trapezoid within the horizontal cross-section; B The total area of ​​the trapezoid within the vertical cross-section; A ( k 1) The area of ​​the blasting cavity borne by each row of auxiliary holes on both sides of the cut area; B ( k 2) The area of ​​the blasting cavity borne by each row of auxiliary holes above the cut area; S5. Set the hole position distribution rules at any end of the blast holes. Based on the determined hole position distribution rules and the preset hole position determination formula, calculate the row spacing of the blast hole opening and bottom of each row, and obtain the position information of the auxiliary holes in each row. The formula for determining the hole position is: in, K 1 represents the number of rows of auxiliary holes on both sides of the slotted area; k 1 represents the numbering of the auxiliary holes on both sides of the slotted area; K 2 represents the number of rows of auxiliary holes above the slotted area; k 2 represents the numbering of the auxiliary holes above the slotted area; A ( k 1) The area of ​​the blasting cavity borne by each row of auxiliary holes on both sides of the cut area; B ( k 2) The area of ​​the blasting cavity borne by each row of auxiliary holes above the cut area; S AD ( k 1) The spacing between the rows of auxiliary holes on both sides of the slotted area; S AP ( k 1) The bottom spacing of each row of auxiliary holes on both sides of the slotted area; S BD ( k 2) The spacing between the rows of auxiliary holes above the slotted area; S BP ( k 2) The bottom row spacing of each row of auxiliary holes above the slotted area; D For design progress.

2. The method for determining the borehole location based on the proportionally varying area of ​​the newly added blasting cavity, as described in claim 1, is characterized in that: In step S1, based on the current bottom and top cross-sections of the borehole, the range of values ​​for the borehole opening distances on the top and bottom sides of the slotted area is determined on the top cross-section. The range of values ​​for the bottom distances on the bottom and bottom sides of the slotted area is determined on the bottom cross-section, including: Based on geological conditions, blasting test results, or engineering experience, determine the range of values ​​for the distance between the borehole openings of the auxiliary holes on both sides and above the slotted area on the borehole opening section, and determine the range of values ​​for the distance between the bottom of the auxiliary holes on both sides and above the slotted area on the borehole bottom section.

3. The method for determining the borehole location based on the proportionally varying area of ​​the newly added blasting cavity, as described in claim 2, is characterized in that: The hole position parameters in S2 include: the distance from the opening of the peripheral hole to the cross-sectional profile, the distance from the bottom of the peripheral hole to the cross-sectional profile, the bottom distance of the slotted hole, the extra depth of the slotted hole, the angle of the slotted hole, and the upper boundary height of the slotted area.

4. The method for determining the borehole location based on the proportionally varying area of ​​the newly added blasting cavity, as described in claim 3, is characterized in that: S3 includes: S30. On the current borehole bottom section, establish a horizontal and a vertical section passing through the geometric center of the cut area, and project the planned blasting cavity onto the two sections. The projection of the horizontal section is two trapezoids symmetrical along the vertical centerline of the cut area. The upper base of the trapezoid is the distance from the two sides of the cut area within the borehole opening section to the trajectory of the surrounding borehole opening, and the lower base of the trapezoid is the distance from the two sides of the cut area within the borehole bottom section to the trajectory of the surrounding borehole bottom. The projection of the vertical section is a trapezoid above the cut area. The upper base of the trapezoid is the distance from the upper boundary of the cut area within the borehole opening section to the trajectory of the surrounding borehole opening, and the lower base of the trapezoid is the distance from the upper boundary of the cut area within the borehole bottom section to the trajectory of the surrounding borehole bottom. S31. Based on the design advance, determine the projected area of ​​the planned blasting cavity on the two cross sections; S32. Calculate the first data corresponding to the upper base width of the trapezoid in the horizontal section divided by the upper limit of the distance between the openings of the auxiliary holes on both sides of the slotted area; calculate the second data corresponding to the lower base width of the trapezoid in the horizontal section divided by the upper limit of the distance between the bottoms of the auxiliary holes on both sides of the slotted area; round the first data and the second data to generate the corresponding rounded results, and select the largest corresponding rounded result as the number of rows of auxiliary holes on both sides of the slotted area. S33. Calculate the third data corresponding to the upper base length of the trapezoid in the vertical section divided by the upper limit of the distance between the auxiliary hole openings above the slotted area; calculate the fourth data corresponding to the lower base length of the trapezoid in the vertical section divided by the upper limit of the distance between the bottom of the auxiliary hole above the slotted area; round the third and fourth data to generate the corresponding rounded results, and select the largest corresponding rounded result as the number of rows of auxiliary holes above the slotted area.

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