Calculation method of peak overpressure and positive phase duration of blast wave driven by explosive explosion

Abstract

The application discloses a calculation method of shock wave overpressure peak value and positive pressure action time under explosive explosion driving, and relates to the technical field of explosion wave simulation devices. Firstly, the overpressure peak value correlation coefficient of the shock wave and the positive pressure action time correlation coefficient are calculated according to the section parameters of the explosion wave simulation device. Then, the charge density is calculated under different working conditions, including single-point explosion working condition, multi-point simultaneous explosion working condition and multi-point delay explosion working condition. Finally, the key parameters, including the overpressure peak value and the positive pressure action time of the shock wave, are calculated according to the correlation coefficients and the charge density. The calculation method of the shock wave overpressure peak value and the positive pressure action time under explosive explosion driving adopts the above steps, and the prediction mechanism of the shock wave overpressure peak value and the positive pressure action time under single-point explosion, multi-point simultaneous explosion and multi-point delay explosion working conditions is established, thereby providing a basis for accurate loading of the explosion wave simulation device.

Description

Technical Field

[0001] This invention relates to the field of explosion wave simulation device technology, and in particular to a method for calculating the peak overpressure and duration of positive pressure of a shock wave driven by an explosive explosion. Background Technology

[0002] Explosion wave simulation devices have advantages such as simple structure, convenient operation, and high cost-effectiveness. An explosion wave simulation device generally consists of a driving section, a shaping section, and a test section. Accurately predicting the two key parameters of the shock wave, namely the overpressure peak value and the positive pressure action time, can effectively shorten the test cycle, save test costs, and improve the efficiency of the explosion wave simulation device.

[0003] Common driving methods for explosion wave simulation devices include gunpowder-driven, explosive explosion-driven, compressed gas-driven, or a combination of explosive explosion and high-pressure gas-driven. Under explosive explosion conditions, the shock wave morphology is closely related to factors such as the charge quantity, charge type, charge location, and the cross-sectional shape of the explosion wave simulation device. Currently, most methods for predicting the peak overpressure and barotropic duration of shock waves under explosive explosion-driven conditions are designed for single-point explosions. These calculation methods typically employ methods based on the propagation patterns of shock waves within tunnels. However, there are significant differences between single-point explosions in explosion wave simulation devices and those in tunnels. Single-point explosions in explosion wave simulation devices are semi-enclosed explosions with variable cross-sectional shapes. Therefore, using tunnel-based calculation methods makes it difficult to accurately predict the peak shock wave morphology and barotropic duration within the explosion wave simulation device.

[0004] Meanwhile, in order to simulate various shock wave modes, multi-point explosion or multi-point delayed explosion driving mode was used for loading in the explosion wave simulation device. However, there is no mature method for predicting the peak overpressure and positive pressure action time of the shock wave under these two explosion modes.

[0005] In summary, existing technologies lack mature and accurate solutions for predicting the peak overpressure and duration of bary pressure in explosion wave simulation devices under explosive detonation conditions. The accuracy of these predictions directly impacts the test accuracy and the design of the explosion wave simulation device. Therefore, how to more accurately predict the peak overpressure and duration of bary pressure in shock waves has become a pressing technical problem to be solved in this field. Summary of the Invention

[0006] The purpose of this invention is to provide a method for calculating the peak overpressure and duration of positive pressure of the shock wave under explosive detonation. By establishing a prediction mechanism for the peak overpressure and duration of positive pressure of the shock wave under single-point explosion, multi-point simultaneous explosion, and multi-point delayed explosion conditions, this invention provides a basis for the accurate loading of explosion wave simulation devices.

[0007] To achieve the above objectives, this invention provides a method for calculating the overpressure peak value and barotropic action time of a shock wave driven by an explosive explosion. The method is characterized by first calculating the correlation coefficients of the overpressure peak value and barotropic action time of the shock wave based on the cross-sectional parameters of the explosion wave simulation device; then calculating the charge density under different operating conditions, including single-point explosion, multi-point simultaneous explosion, and multi-point delayed explosion; and finally calculating key parameters based on the correlation coefficients and charge density, including the overpressure peak value and barotropic action time of the shock wave.

[0008] Under single-point explosion conditions, the charge density is calculated based on the charge amount, and the overpressure peak value and the positive pressure action time are calculated respectively based on the overpressure peak value calculation formula and the positive pressure action time calculation formula for single-point explosion conditions.

[0009] Under the condition of simultaneous explosion at multiple points, the charge density is calculated based on the equivalent charge amount, and the overpressure peak value and the positive pressure action time are calculated respectively based on the overpressure peak value calculation formula and the positive pressure action time calculation formula for the condition of simultaneous explosion at multiple points.

[0010] Under the condition of multi-point delayed explosion, the overpressure peak influence factor and the positive pressure action time influence factor are calculated based on the delay time interval. The overpressure peak value under the condition of multi-point delayed explosion is obtained based on the overpressure peak influence factor and the overpressure peak value under the condition of simultaneous multi-point explosion. The positive pressure action time under the condition of multi-point delayed explosion is obtained based on the positive pressure action time influence factor and the positive pressure action time under the condition of simultaneous multi-point explosion.

[0011] Preferably, under single-point explosion conditions, the steps for calculating the overpressure peak value and barometric pressure duration of the ram wave are as follows:

[0012] S1, Measure the cross-sectional area S at the detonation point. c Cross-sectional area S at the pressure measurement point j The distance L from the detonation point to the pressure measurement point;

[0013] S2. Calculate the equivalent diameter d of the cross-section at the pressure measurement point and the spatial volume V from the detonation point to the pressure measurement point. The formula for calculating the equivalent diameter is:

[0014] S3. Calculate the cross-sectional parameters S of the explosion wave simulation device based on the results of S1 and S2. j / S c L / d;

[0015] S4, according to S j / S c The value of L / d determines the correlation coefficient A of the overpressure peak. p B p C p Correlation coefficient A with positive pressure application time τ B τ Cτ D τ , where A p B p All are coefficients related to the cross-sectional parameter L / d; C p To be related to the section parameter S j / S c Relevant coefficients; A τ To be related to the section parameter S j / S c Relevant coefficients; B τ C τ D τ All of these are coefficients related to the cross-sectional parameter L / d;

[0016] S5. Calculate the charge density Q / V based on the charge amount Q;

[0017] S6. Based on the overpressure peak correlation coefficient A p B p C p Given the charge density Q / V, the peak overpressure Δp of the shock wave is obtained using the formula for calculating the peak overpressure under single-point explosion conditions. The formula is as follows:

[0018]

[0019] Based on the correlation coefficient A of the positive pressure application time τ B τ C τ D τ Given the charge density Q / V, the time of barotropic action τ under single-point explosion conditions is obtained using the formula for calculating the barotropic action time. The formula is as follows:

[0020]

[0021] Preferably, under the condition of simultaneous explosion at multiple points, the steps for calculating the overpressure peak value and the duration of the barotropic pressure of the ram wave are as follows:

[0022] S1, Measure the cross-sectional area S at the detonation point. c Cross-sectional area S at the pressure measurement point j The distance L from the detonation point to the pressure measurement point;

[0023] S2. Calculate the equivalent diameter d of the cross-section at the pressure measurement point and the spatial volume V from the detonation point to the pressure measurement point. The formula for calculating the equivalent diameter is:

[0024]

[0025] S3. Calculate the cross-sectional parameters S of the explosion wave simulation device based on the results of S1 and S2. j / S c L / d;

[0026] S4, according to S j / S c The value of L / d determines the correlation coefficient A of the overpressure peak. p B p C p Correlation coefficient A with positive pressure application time τ B τ C τ D τ , where A p B p All are coefficients related to the cross-sectional parameter L / d; C p To be related to the section parameter S j / S c Relevant coefficients; A τ To be related to the section parameter S j / S c Relevant coefficients; B τ C τ D τ All of these are coefficients related to the cross-sectional parameter L / d;

[0027] S5. Based on the equivalent charge coefficient K for simultaneous multi-point explosions. T Calculate the equivalent charge Q D And obtain the charge density Q. D / V, Equivalent charge coefficient for simultaneous multi-point explosions, K T Related to the number of charge points, the equivalent charge quantity Q D The calculation formula is:

[0028] Q D =K Y Q

[0029] S6. Based on the overpressure peak correlation coefficient and charge density Q D / V, using the formula for calculating the peak overpressure of the shock wave under multi-point simultaneous explosion conditions, the peak overpressure Δp of the shock wave is obtained. T The calculation formula is as follows;

[0030]

[0031] Based on the correlation coefficient of positive pressure action time and charge density Q D / V, the time τ of the pressure action is obtained by using the formula for calculating the pressure action time under multi-point simultaneous explosion conditions. T The calculation formula is as follows:

[0032]

[0033] Preferably, under the same number of explosion points and explosion wave simulation device parameters, the steps for calculating the ram wave overpressure peak value and barometric pressure action time under multi-point delayed explosion conditions based on the ram wave overpressure peak value and barometric pressure action time under multi-point simultaneous explosion conditions are as follows:

[0034] S7. Based on the delay time interval Δt of multi-point detonation, calculate the overpressure peak influence factor K related to the delay time. py Influence factor K on the duration of positive pressure τy ;

[0035] S8. Under multi-point delayed explosion conditions, the peak overpressure Δp of the shock wave y The calculation formula is:

[0036] Δp y =K py ×Δp T

[0037] Δp T This represents the peak overpressure under conditions of simultaneous explosions at multiple points with the same number of explosion points.

[0038] Time of application of positive pressure τ y The calculation formula is:

[0039] τ y =K τy ×τ T

[0040] τ T This indicates the duration of positive pressure under conditions of simultaneous explosions at multiple points with the same number of explosion points.

[0041] Preferably, in S7, the peak overpressure influence factor K py The calculation formula is:

[0042]

[0043] Influence factor K of positive pressure application time τy The calculation formula is:

[0044]

[0045] Among them, A py B py and C py The constants are all simultaneously related to the cross-sectional parameter S. j / S c Coefficients related to the cross-sectional parameter L / d; A τy B τy and C τy The constants are all simultaneously related to the cross-sectional parameter S. j / S cCoefficients related to the cross-sectional parameter L / d.

[0046] According to specific embodiments provided by the present invention, the present invention discloses the following technical effects:

[0047] The method for calculating key parameters in an explosive explosion-driven explosion wave simulation device provided by this invention is based on single-point explosion. It introduces equivalent charge coefficients, action time, and overpressure peak influence factors based on the differences in load propagation characteristics and overpressure peak duration between multi-point simultaneous explosion, multi-point delayed explosion, and single-point explosion. This enables the prediction of key parameters of the shock wave under different explosion conditions, effectively simplifies the calculation process, and has strong engineering and academic value. It also provides strong guidance for calculating key parameters of the shock wave in explosion simulation devices.

[0048] The technical solution of the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. Attached Figure Description

[0049] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0050] Figure 1 This is a flowchart of the method for calculating the peak overpressure and duration of positive pressure of the shock wave under single-point explosion conditions in Embodiment 1 of the present invention.

[0051] Figure 2 This is a flowchart of the method for calculating the peak overpressure and duration of positive pressure of shock wave under the condition of simultaneous multi-point explosion in Embodiment 2 of the present invention.

[0052] Figure 3 This is a flowchart illustrating the method for calculating the peak overpressure and positive pressure duration of the shock wave under multi-point delayed explosion conditions in Embodiment 3 of the present invention. Detailed Implementation

[0053] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0054] The purpose of this invention is to develop technical solutions for calculating the overpressure peak value and the time of positive pressure action of shock waves under single-point explosion, multi-point simultaneous explosion, and multi-point delayed explosion conditions, so as to accurately predict the two key parameters of overpressure peak value and positive pressure action time of shock waves, thereby effectively shortening the test cycle, saving test costs, and improving the efficiency of explosion wave simulation devices.

[0055] To make the above-mentioned objects, features and advantages of the present invention more apparent and understandable, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.

[0056] Example 1

[0057] like Figure 1 As shown in the figure, this embodiment takes a total charge of 1.2 kg TNT as an example to illustrate the method for calculating the peak overpressure and duration of barotropic action of the shock wave under a single-point explosion condition. The method includes the following steps:

[0058] S1, Measure the cross-sectional area S at the detonation point. c Cross-sectional area S at the pressure measurement point j The distance L from the detonation point to the pressure measurement point; the cross-sectional area S of the detonation point of a certain explosion wave simulation device in this embodiment 1. c It is 7.07m 2 Cross-sectional area S at the pressure measurement point j It is 2.07m 2 The distance L from the detonation point to the pressure measurement point is 31.23m.

[0059] S2. Calculate the equivalent diameter d of the cross-section at the pressure measurement point. The formula for calculating the equivalent diameter is: Let π = 3.14, and change S in S1. j =2.07m 2 Substituting into the above formula, the equivalent diameter d of the cross-section at the pressure measurement point is calculated to be 1.63 m. The calculated spatial volume V from the detonation point to the pressure measurement point is 193.07 m³. 3 .

[0060] S3. Calculate the cross-sectional parameters S of the explosion wave simulation device based on the results of S1 and S2. j / S c =0.293, L / d=19.16.

[0061] S4, according to S j / S c The value of L / d determines the correlation coefficient A of the overpressure peak. p B p C p Correlation coefficient A with positive pressure application time τ B τ C τ Dτ The correlation coefficient A of the overpressure peak value at this point in the explosion wave simulation device was obtained through experiments. p B p C p The correlation coefficients A for the duration of positive pressure application are 4.90, 2607.49, and 0.05, respectively. τ B τ C τ D τ The figures are 22.46, 288.68, 1.35, and 87.80, respectively.

[0062] S5. Calculate the charge density Q / V based on the charge weight Q; taking a total TNT charge of 1.2 kg as an example, the charge density is calculated to be 0.00622 kg / m³. 3 .

[0063] S6. Based on the overpressure peak correlation coefficient A p B p C p Given the charge density Q / V, the peak overpressure Δp of the shock wave is obtained using the formula for calculating the peak overpressure under single-point explosion conditions. The formula is as follows:

[0064]

[0065] Substituting the relevant parameters from S1 to S5 into the above formula, we can obtain the overpressure peak value as 0.181 MPa.

[0066] Based on the correlation coefficient A of the positive pressure application time τ B τ C τ D τ Given the charge density Q / V, the time of barotropic action τ under single-point explosion conditions is obtained using the formula for calculating the barotropic action time. The formula is as follows:

[0067]

[0068] Substituting the relevant parameters from S1 to S5 into the above formula, we can obtain the positive pressure application time as 70.02 ms.

[0069] Example 2

[0070] like Figure 2 As shown, this embodiment takes a total charge of 1.2 kg TNT as an example, with six stages of simultaneous detonation. The locations of the explosion wave simulation device and pressure measuring points are the same as in Embodiment 1. The calculation method for the peak overpressure and the duration of the positive pressure of the shock wave under the condition of simultaneous multi-point explosion includes the following steps:

[0071] Using the same initial parameters as in Example 1, the detonation point cross-sectional area S c It is 7.07m 2Cross-sectional area S at the pressure measurement point j It is 2.07m 2 The distance L from the detonation point to the pressure measurement point is 31.23m. The calculation results for parameters S1-S4 under the multi-point simultaneous explosion condition are the same as those under the single-point explosion condition. The difference lies in:

[0072] S5. Based on the number of explosive charges, obtain the equivalent charge coefficient K for simultaneous multi-point explosions by referring to a table. T .

[0073] Equivalent charge coefficient K T You can refer to Table 1 below. If the number of charge points is between 2 and 6 and there is no numerical value, it can be calculated by linear interpolation. If the number of charge points exceeds 6, it needs to be obtained through further experiments or numerical calculations.

[0074] Table 1 Equivalent charge coefficient K for simultaneous multi-point detonation T Correspondence table of points

[0075] More points 2 3 6 <![CDATA[Equivalent coefficient k T > 0.958 0.795 0.755

[0076] According to the table, the equivalent charge coefficient under the condition of simultaneous explosion at 6 points is 0.755.

[0077] The equivalent charge amount Q is obtained based on the equivalent charge coefficient. D The calculation formula is:

[0078] Q D =K T Q

[0079] The equivalent charge coefficient K T Substituting 0.755 into the above formula, we can obtain the equivalent charge Q. D It is 0.906 kg.

[0080] Explosive density Q D / V is 0.00470 kg / m 3 .

[0081] S6. Based on the overpressure peak correlation coefficient and charge density Q D / V, using the formula for calculating the peak overpressure of the shock wave under multi-point simultaneous explosion conditions, the peak overpressure Δp of the shock wave is obtained. T The calculation formula is as follows;

[0082]

[0083] The correlation coefficient A of the overpressure peak value p =4.90, B p =2607.49, C p=0.05, charge density 0.00470 kg / m³ 3 Substituting into the above equation, we can obtain the peak overpressure Δp. T It is 0.130 MPa.

[0084] Based on the correlation coefficient of positive pressure action time and charge density Q D / V, the time τ of the pressure action is obtained by using the formula for calculating the pressure action time under multi-point simultaneous explosion conditions. T The calculation formula is as follows:

[0085]

[0086] The correlation coefficient A of the positive pressure application time τ =22.46, B τ =288.68, C τ =1.35, D τ =87.80, charge density 0.00470 kg / m³ 3 Substituting into the above equation, we can obtain the duration of the positive pressure τ. T It takes 90.73ms.

[0087] Example 3

[0088] The calculation method for the peak overpressure and duration of barotropic action of the shock wave under multi-point delayed explosion conditions is as follows: Figure 3 As shown. Example 3 uses a total charge of 1.2 kg TNT as an example, with six stages of detonation. The time interval between adjacent detonation points is 30 ms. The explosion wave simulation device and the location of the pressure measuring points are the same as in Examples 1 and 2. The same initial parameters are used, and the cross-sectional area S at the detonation point is... c It is 7.07m 2 Cross-sectional area S at the pressure measurement point j It is 2.07m 2 The distance L from the detonation point to the pressure measurement point is 31.23m. The calculation results for S1-S6 in the multi-point delayed explosion condition are the same as those in the multi-point simultaneous explosion condition, and will not be repeated here. The difference lies in that this embodiment also includes:

[0089] S7. Based on the delay time interval Δt = 30ms for multi-point initiation, calculate the overpressure peak influence factor K related to the delay time. py Influence factor K on the duration of positive pressure τy ,

[0090] Overpressure peak influence factor K py The calculation formula is:

[0091]

[0092] A py Bpy and C py It is related to the cross-sectional parameter S of the explosion wave simulation device. j / S c The constants are closely related to L / d. In the explosion wave simulation device of this embodiment, these constants were obtained experimentally and are 4.633, 4.635, and 2.361, respectively. Substituting these constants into the above formula yields the overpressure peak influence factor K. p It is 0.459.

[0093] Influence factor K of positive pressure application time τy The calculation formula is:

[0094]

[0095] A τy B τy and C τy It is related to the cross-sectional parameter S of the explosion wave simulation device. j / S c The constants are closely related to L / d. In the explosion wave simulation device of this embodiment, these constants were obtained experimentally and are 0.665, 0.095, and 6.438, respectively. Substituting these constants into the above formula yields the overpressure peak influence factor K. τy It is 10.699.

[0096] S8. Utilizing the overpressure peak influence factor K py Influence factor K on the duration of positive pressure τy The overpressure peak value Δp is obtained by the calculation method of the shock wave overpressure peak value and the time of barotropic action under the condition of simultaneous explosion at the utilization point. T and the duration of positive pressure τ T Multiplying these values ​​yields the peak overpressure Δp of the shock wave under multi-point delayed explosion conditions. y and the duration of positive pressure τ y .

[0097] Specifically, under multi-point delayed explosion conditions, the peak overpressure Δp of the shock wave... y The calculation formula is:

[0098] Δp y =K py ×Δp T

[0099] Δp T This represents the peak overpressure under conditions of simultaneous explosions at multiple points with the same number of explosion points, expressed as Δp. T =0.130MPa, K py Substituting 0.459 into the above formula yields Δp. y It is 0.06 MPa.

[0100] Time of application of positive pressure τ y The calculation formula is:

[0101] τ y =K τy ×τ T

[0102] τ T τ represents the duration of barotropic action under simultaneous explosions at multiple points with the same number of explosion points. T =90.73ms, K τy Substituting 10.699 into the above formula yields τ. y It takes 970.72ms.

[0103] The remaining technical features in the above embodiments can be flexibly selected by those skilled in the art to meet different specific practical needs. However, it is obvious to those skilled in the art that these specific details are not necessary to implement the present invention. In other instances, to avoid obscuring the present invention, well-known components, structures, or parts are not specifically described, and all are within the scope of technical protection defined by the claims of the present invention.

[0104] Modifications and variations made by those skilled in the art that do not depart from the spirit and scope of this invention should be within the protection scope of the appended claims. In the above description, numerous specific details have been set forth to provide a thorough understanding of the invention. However, it will be apparent to those skilled in the art that these specific details are not necessary to practice the invention. In other instances, to avoid obscuring the invention, well-known techniques, such as specific construction details, operating conditions, and other technical conditions, have not been specifically described.

[0105] This document uses specific examples to illustrate the principles and implementation methods of the present invention. The descriptions of the above embodiments are only for the purpose of helping to understand the method and core ideas of the present invention. Furthermore, those skilled in the art will recognize that, based on the ideas of the present invention, there will be changes in the specific implementation methods and application scope. Therefore, the content of this specification should not be construed as a limitation of the present invention.

Claims

1. A method for calculating the peak overpressure and positive phase duration of a blast wave driven by an explosive explosion, characterized in that, Firstly, the correlation coefficient of the peak overpressure and the correlation coefficient of the positive phase duration of the shock wave are calculated according to the section parameters of the explosion wave simulation device; then the charge density is calculated under different working conditions, including single-point explosion working condition, multi-point simultaneous explosion working condition and multi-point delay explosion working condition; and then the key parameters, including the peak overpressure and the positive phase duration of the shock wave, are calculated according to the correlation coefficients and the charge density; Under the single-point explosion working condition, the charge density is calculated according to the charge amount, and the peak overpressure and the positive phase duration are calculated according to the peak overpressure calculation formula and the positive phase duration calculation formula of the single-point explosion working condition respectively, and the steps are as follows: S1, measured cross-sectional area of the shot point S c S2, cross-sectional area at the pressure measurement point S j S3, distance from the shot point to the pressure measurement point L ; S2, calculating the equivalent diameter of the cross section at the pressure measurement point d the volume of space from the point of initiation to the pressure measurement point V， The formula for calculating the equivalent diameter is: ； S3. Calculate the blast wave simulation device cross-section parameters from the results of S1 and S2 S j / S c , L / d ; S4, according to S j / S c , L / d The value determines the correlation coefficient of peak overpressure. A p , B p , C p Correlation coefficient with positive pressure duration A τ , B τ 、 C τ 、D τ ,in, A p , B p All are related to cross-sectional parameters L / d Relevant coefficients; C p To be related to section parameters S j / S c Relevant coefficients; A τ To be related to section parameters S j / S c Relevant coefficients; B τ 、C τ 、D τ All are related to cross-sectional parameters L / d Relevant coefficients; S5、According to the charge quantity Q The charge density is calculated Q / V ; S6、According to the correlation coefficient of overpressure peak value A p , B p , C p and charge density Q / V , the shock wave overpressure peak value is obtained by using the overpressure peak value calculation formula under single-point explosion working condition , and the calculation formula is as follows: ； According to the positive pressure acting time correlation coefficient A τ 、 B τ 、C τ 、D τ and charge density Q / V , the positive pressure acting time is calculated by using the positive pressure acting time calculation formula under single-point explosion working condition τ , and the calculation formula is as follows: ； Under the multi-point simultaneous explosion working condition, the charge density is calculated according to the equivalent charge amount, and the peak overpressure and the positive phase duration are calculated according to the peak overpressure calculation formula and the positive phase duration calculation formula of the multi-point simultaneous explosion working condition respectively; Under the multi-point delay explosion working condition, the peak overpressure influence factor and the positive phase duration influence factor are calculated according to the delay time interval, and the peak overpressure under the multi-point delay explosion working condition is obtained according to the peak overpressure influence factor and the peak overpressure under the multi-point simultaneous explosion working condition, and the positive phase duration under the multi-point delay explosion working condition is obtained according to the positive phase duration influence factor and the positive phase duration under the multi-point simultaneous explosion working condition; Overpressure peak influencing factor K py The calculation formula is: ； Positive pressure action time influencing factor K τy The calculation formula is: ； in, A py , B py and C py The constants are all simultaneously with the cross-sectional parameters. S j / S c Section parameters L / d Relevant coefficients; A τy , B τy and C τy The constants are all simultaneously with the cross-sectional parameters. S j / S c Section parameters L / d Relevant coefficients.

2. The method for calculating the peak overpressure and duration of barotropic action of the shock wave driven by explosive detonation according to claim 1, characterized in that: Under the multi-point simultaneous explosion working condition, the peak overpressure and the positive phase duration of the shock wave are calculated as follows: S1, measured cross-sectional area of the initiation point S c S2, cross-sectional area at the pressure measurement point S j S3, distance from the initiation point to the pressure measurement point L ; S2, calculating the equivalent diameter of the cross section at the pressure measurement point d the volume of space from the initiation point to the pressure measurement point V， The formula for calculating the equivalent diameter is: ； S3. Calculate the blast wave simulation device cross-section parameters from the results of S1 and S2 S j / S c 、 L / d ; S4. The method of any of S1-S3, S j / S c , L / d A p , B p , C p A τ , B τ 、 C τ 、D τ wherein, A p , B p are coefficients related to the cross-sectional parameter L / d ; C p are coefficients related to the cross-sectional parameter S j / S c ; and A τ are coefficients related to the cross-sectional parameter S j / S c ; and B τ 、C τ 、D τ are coefficients related to the cross-sectional parameter L / d ;​​ S5、According to the equivalent charge coefficient of multi-point simultaneous explosion K T The equivalent charge quantity is calculated Q D And the charge density is obtained Q D / V The equivalent charge coefficient of multi-point simultaneous explosion K T Related to the number of charge points, the equivalent charge quantity Q D The calculation formula is: ； S6、According to the super pressure peak value correlation coefficient and the charge density Q D / V The shock wave super pressure peak value is obtained by using a shock wave super pressure peak value calculation formula under a multi-point simultaneous explosion working condition The calculation formula is as follows: ； According to the positive pressure acting time correlation coefficient and the charge density Q D / V The positive pressure acting time is obtained by using the positive pressure acting time calculation formula under the multi-point simultaneous explosion working condition The calculation formula is as follows: 。 3. The method for calculating the peak overpressure and duration of barotropic action of the shock wave driven by explosive detonation according to claim 2, characterized in that: Under the same number of explosion points and explosion wave simulation device parameters, the peak overpressure and the positive phase duration of the shock wave under the multi-point delay explosion working condition are calculated according to the peak overpressure and the positive phase duration of the shock wave under the multi-point simultaneous explosion working condition as follows: S7. The delay time interval according to the multi-point initiation , calculating the overpressure peak impact factor related to the delay time K py and the positive pressure action time impact factor K τy ; S8, under the working condition of multi-point delay blasting, the peak value of shock wave overpressure The calculation formula is: ； The same number of points under the condition of multi-point simultaneous explosion under the peak value of overpressure; Positive pressure action time The calculation formula is: ； The positive pressure action time under the multi-point simultaneous blasting working condition of the same number of blasting points is represented.

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