Method and device for predicting blasting vibration waveform, computer storage medium and terminal

Abstract

According to the method and device for predicting the blasting vibration waveform, the computer storage medium and the terminal, the random vibration prediction model constructed by modulating the white noise filtering model is used for testing each blast hole to obtain the single-hole waveform of the blast hole, the rock mass characteristics and the charging condition characteristics can be reflected, and the blasting vibration waveform prediction accuracy is improved. The accuracy of the underground blasting vibration prediction result is ensured, the single-hole blasting vibration waveform of related parameters determined according to the single-hole waveform is used as the superposition wavelet, the superposition calculation of the porous blasting vibration is completed, the method can be suitable for different types of porous blasting vibration waveforms, and under the condition that the applicability of the underground blasting vibration prediction result is ensured, the accuracy of the underground blasting vibration prediction result is ensured. A prediction model capable of reflecting porous blasting vibration waveforms such as rock mass characteristics and charging conditions is established, a tool is provided for urban underground space blasting construction, and technical support is provided for urban underground space construction.

Description

Technical Field

[0001] The present invention relates to engineering blasting technology, and in particular to a method, device, computer storage medium and terminal for predicting blasting vibration waveform. Background Art

[0002] Drilling and blasting is currently the most efficient and economical rock breaking method in mining and rock engineering construction, but blasting will inevitably cause blasting vibration hazards. Accurate prediction of blasting vibration waves is an urgent problem to be solved in the fields of disaster prevention and mitigation and engineering construction, and it is also a hot topic in the blasting engineering community in recent years; blasting vibration waves have both random and deterministic characteristics. A limited number of controllable factors such as charge amount and distance determine the deterministic changes in blasting vibration, while multiple uncontrollable unknown factors such as rock properties, burial depth, free surface, resistance and other charging conditions determine the randomness of blasting vibration.

[0003] In the field of engineering blasting, different countries mostly use empirical formulas to predict blasting vibrations, such as peak vibration, main vibration frequency, etc.; with the widespread application of digital electronic detonators in China, detonation with a short interval has been realized, and the amount of explosives for a single explosion has become a quantity that is difficult to calculate, resulting in a significant reduction in the applicability of traditional formulas; at the same time, the structural response of some modern buildings is difficult to calculate and evaluate based solely on vibration factor indicators, and the vibration history curve must be used for the entire time-history analysis. For example, the seismic response calculation of Class A buildings and over-limit structures is still supplemented by time-history calculations in addition to the response spectrum method.

[0004] The task of underground blasting is to blast the rock down safely and efficiently according to the designed depth and section, and to minimize the damage to the tunnel surrounding rock and its impact on stability. Since the blasting is carried out only on one free surface, the rock clamping effect is large, the blasting rock conditions are poor, and the blasting scale and effect are limited by the size of the tunnel section. Figure 1According to their positions and functions, they are mainly divided into three categories: slot holes, caving holes and peripheral holes. Sometimes auxiliary holes are added. Among them, the role of the slot hole is to first blast a slot cavity under a free surface (i.e., working surface), to add a free surface for the blasting of other blast holes and provide space for rock expansion compensation, to reduce the clamping effect of rock blasting in other holes, and to create favorable blasting conditions. The auxiliary holes are arranged around the slot hole to further expand the slot cavity blasted by the slot hole. The peripheral hole is also called the contour hole, which is the outermost The blast holes arranged along the periphery of the tunnel are used to control the cross-sectional contour of the tunnel so that the cross-section, shape and direction of the tunnel after blasting meet the design requirements. According to their location, they can be divided into top holes, side holes, bottom holes and bottom corner holes. If the tunnel is buried deep, the surface blasting vibration is mainly related to the amount of charge in the groove. If it is shallow and the peripheral holes are closer to the surface, the maximum surface vibration at this time may be related to the detonation of the peripheral holes. The free surface conditions of the groove holes, collapse holes and peripheral holes are very different, so they should be treated differently when synthesizing the waves.

[0005] How to realize the calculation of multi-hole blasting vibration, ensure the accuracy and applicability of underground blasting vibration prediction results, establish a prediction model for multi-hole blasting vibration that can reflect rock characteristics, charging conditions, etc., provide tools for urban underground space blasting construction, and safeguard urban underground space construction has become a problem to be solved. Summary of the invention

[0006] The present application embodiment provides a method for predicting a blasting vibration waveform, comprising: A random vibration prediction model of blasting vibration waveform is constructed based on the modulated filtered white noise model; For each type of blasthole, the corresponding single-hole waveform of the blasthole is obtained through single-hole testing; Determine the relevant parameters of the random vibration prediction model of the blasthole according to the obtained single-hole waveform; The random vibration prediction model with determined relevant parameters under multiple holes is linearly superimposed by blasting vibration waveforms.

[0007] On the other hand, an embodiment of the present application further provides a computer storage medium, wherein the computer storage medium stores a computer program, and when the computer program is executed by a processor, the method for predicting a blasting vibration waveform is implemented.

[0008] On the other hand, an embodiment of the present application further provides a terminal, comprising: a memory and a processor, wherein the memory stores a computer program; wherein: The processor is configured to execute the computer program in the memory; When the computer program is executed by the processor, the method for predicting blasting vibration waveform as described above is implemented.

[0009] In another aspect, the embodiment of the present application also provides a device for predicting blasting vibration waveform, comprising: a construction unit, a testing unit, a determination unit and a superposition processing unit; wherein, The construction unit is set as follows: constructing a random vibration prediction model of the blasting vibration waveform according to a modulated filtered white noise model; The test unit is set as follows: for each type of blasthole, the corresponding single-hole waveform of the blasthole is obtained through a single-hole test; The determination unit is set to: determine relevant parameters of the random vibration prediction model of the blasthole according to the obtained single-hole waveform; The superposition processing unit is set to: perform linear superposition of blasting vibration waveforms on the random vibration prediction model of the determined relevant parameters under the multi-hole.

[0010] The disclosed embodiment constructs a random vibration prediction model of the blasting vibration waveform, obtains the single-hole waveform of the blasthole through testing, and uses the appropriate single-hole blasting vibration waveform with determined relevant parameters as a superimposed sub-wave to complete the superposition calculation of multi-hole blasting vibration. While ensuring the accuracy and applicability of the underground blasting vibration prediction results, a prediction model for multi-hole blasting vibration that can reflect rock properties, charging conditions, etc. is established, which provides a tool for blasting construction in urban underground space and provides technical support for the construction of urban underground space.

[0011] Other features and advantages of the present application will be described in the following description, and partly become apparent from the description, or be understood by implementing the present application. Other advantages of the present application can be realized and obtained by the schemes described in the description and the drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0012] The accompanying drawings are used to provide an understanding of the technical solution of the present application and constitute a part of the specification. Together with the embodiments of the present application, they are used to explain the technical solution of the present application and do not constitute a limitation on the technical solution of the present application.

[0013] Figure 1 A flow chart of a method for predicting blasting vibration waveform according to an embodiment of the present disclosure; Figure 2 The present invention is a structural block diagram of a device for predicting blasting vibration waveform according to an embodiment of the present invention. DETAILED DESCRIPTION

[0014] The present application describes multiple embodiments, but the description is exemplary rather than restrictive, and it is obvious to those skilled in the art that there may be more embodiments and implementations within the scope of the embodiments described in the present application. Although many possible feature combinations are shown in the drawings and discussed in the specific embodiments, many other combinations of the disclosed features are also possible. Unless specifically limited, any feature or element of any embodiment may be used in combination with any other feature or element in any other embodiment, or may replace any other feature or element in any other embodiment.

[0015] The present application includes and contemplates combinations of features and elements known to those of ordinary skill in the art. The embodiments, features and elements disclosed in the present application may also be combined with any conventional features or elements to form a unique invention scheme. Any features or elements of any embodiment may also be combined with features or elements from other invention schemes to form another unique invention scheme. Therefore, it should be understood that any feature shown and / or discussed in the present application may be implemented individually or in any appropriate combination. Therefore, except for the limitations made according to the attached claims and their equivalents, the embodiments are not subject to other restrictions. In addition, various modifications and changes may be made within the scope of protection of the attached claims.

[0016] In addition, when describing representative embodiments, the specification may have presented the method and / or process as a specific sequence of steps. However, to the extent that the method or process does not rely on the specific order of the steps described herein, the method or process should not be limited to the steps of the specific order described. As will be understood by those of ordinary skill in the art, other sequences of steps are also possible. Therefore, the specific sequence of the steps set forth in the specification should not be interpreted as a limitation to the claims. In addition, the claims for the method and / or process should not be limited to the steps of performing them in the order written, and those skilled in the art can easily understand that these sequences can be changed and still remain within the spirit and scope of the embodiments of the present application.

[0017] Figure 1 Flow chart of the method for predicting blasting vibration waveform according to the embodiment of the present disclosure, as shown in FIG. Figure 1 As shown, including: Step 101, constructing a random vibration prediction model of the blasting vibration waveform according to the modulated filtered white noise model; Step 102: for each type of blasthole, obtain the corresponding single-hole waveform of the blasthole through a single-blasthole test; Step 103, determining relevant parameters of the random vibration prediction model of the blasthole according to the obtained single-hole waveform; Step 104: linearly superimpose the blasting vibration waveforms on the random vibration prediction model with the relevant parameters determined under multiple holes.

[0018] The disclosed embodiment constructs a random vibration prediction model by modulating and filtering the white noise model, obtains a single-hole waveform of each blasthole test, and can reflect the characteristics of the rock mass and charging conditions, thereby ensuring the accuracy of the underground blasting vibration prediction results. The single-hole blasting vibration waveform with relevant parameters determined according to the single-hole waveform is used as a superimposed sub-wave to complete the superposition calculation of the multi-hole blasting vibration. It can be applicable to different types of multi-hole blasting vibration waveforms. While ensuring the applicability of the underground blasting vibration prediction results, a prediction model for multi-hole blasting vibration waveforms that can reflect the rock mass characteristics, charging conditions, etc. is established, which provides a tool for urban underground space blasting construction and provides technical support for urban underground space construction.

[0019] In the prediction research of blasting vibration waveform, it is generally believed that the single-hole blasting vibration waveform at the same control point is reproducible. After multiple on-site blasting vibration tests, the single-hole blasting vibration waveform curve whose vibration peak value and main frequency meet the requirements of their respective propagation laws is selected as the superposition sub-wave; however, according to the results of blasting vibration test research, it is believed that the propagation of blasting seismic waves in rock media is a random process. Even under the same blasting conditions, each test result is only a sample curve under this random process. According to the waveform analysis results of the blasting vibration simulation test, the embodiment of the present disclosure shows that the blasting vibration waveform exhibits intensity non-stationarity and frequency non-stationarity in the time domain and frequency domain, respectively. Therefore, the seismic wave random model used to describe the blasting vibration waveform also needs to have both intensity non-stationarity and frequency non-stationarity; at the same time, in order to facilitate the on-site application of actual projects, and to determine the parameters in the model as simply and quickly as possible, the seismic wave random model involving complex power spectrum, phase spectrum or amplitude spectrum is excluded.

[0020] In an exemplary embodiment, the embodiment of the present disclosure constructs a random vibration prediction model of a blasting vibration waveform according to a modulated filtered white noise model, including: The blasting vibration waveform is described according to the modulated filtered white noise model, and the random vibration prediction model of the blasting vibration waveform is constructed with the following expression: ; Wherein, t represents time, A(t) represents a deterministic intensity envelope function; x(t) represents a frequency non-stationary random process with zero mean and unit variance; σf(t) represents the standard deviation of the filter's non-stationary response to white noise; h[t-τ, λ(τ)] represents the filter unit impulse response function, λ(τ) is a parameter to be determined, including the filter damping ratio ξ(τ) and the filter inherent (angular frequency) ω(τ); w(τ) represents random white noise. τ in the above formula of the embodiment of the present disclosure is another expression of t known to those skilled in the art, and the two have different definition domains.

[0021] In an exemplary embodiment, for each type of blasthole, before obtaining the single-hole waveform corresponding to the blasthole through a single blasthole test, the method of the embodiment of the present disclosure may further include: Based on the spatial relationship between the tunnel excavation surface and the measuring point location, the blast holes are classified into one of the following or any combination: slot holes, collapse holes and peripheral holes.

[0022] In an exemplary embodiment, the slotting holes in the embodiment of the present disclosure may include a first slotting hole and other slotting holes; the blast holes in the embodiment of the present disclosure may also be further refined with reference to relevant standards.

[0023] In an exemplary embodiment, the embodiment of the present disclosure obtains the single-hole waveform corresponding to each type of blasthole through a single blasthole test, including: Determine whether to allow single blasthole testing based on pre-determined rock crushing effect information; When a single blast hole test is allowed, the blast hole waveform is obtained through the test; When single blasthole testing is not allowed, the detonation network time is modified to conduct single blasthole testing; Among them, the modified detonation network time includes: the time difference between a single blast hole and an adjacent blast hole is greater than or equal to 100 milliseconds.

[0024] In an exemplary embodiment, the embodiment of the present disclosure determines whether to allow a single blasthole test based on predetermined rock crushing effect information, including: When the waveform caused by the blasting of a single slot hole leads the other slot holes by 50 to 100 milliseconds, it is determined that the test of the single blast hole of the slot hole is allowed; After the slot hole blasting is completed, the vibration waveform test caused by a single cave-in hole is carried out. When a single cave-in hole leads other blast holes except itself by 50-100 milliseconds, it is determined that the test of the single blast hole of the cave-in hole is allowed.

[0025] The slot holes in the disclosed embodiment have a large clamping effect and a large amount of charge per hole, so the blasting vibration amplitude caused by them is the largest. Therefore, the waveform caused by the blasting of a single slot hole must be measured, and this hole should be 50-100ms ahead of other slot holes. After all the slot hole blasting in the disclosed embodiment is completed, the vibration waveform test caused by a single collapse hole is carried out; the test is divided into two stages, the first is slot hole blasting, and then the collapse hole and surrounding holes are blasted; in the second stage, the single collapse hole that needs to be measured is 50-100ms ahead of other blast holes.

[0026] In an exemplary instance, the embodiment of the present disclosure refers to the relevant technology and determines the relevant parameters of the random vibration prediction model of the blasthole according to the obtained single-hole waveform; for example, refer to the method for determining the intensity parameters and frequency parameters recorded in Chapter 4 of (Research on Analysis and Prediction Random Model of Step Blasting Vibration Velocity Waveform, Li Chen, January 2022) to determine the relevant parameters.

[0027] In an exemplary embodiment, the embodiment of the present disclosure performs linear superposition of blasting vibration waveforms on a random vibration prediction model for determining relevant parameters under multiple holes, including: According to the factors of detonation network (time), charge and distance, the random vibration prediction model with determined relevant parameters under multiple holes is linearly superimposed on the blasting vibration waveform.

[0028] The embodiment of the present disclosure selects a suitable single-hole blasting vibration waveform as a superimposed sub-wave, and simultaneously considers the detonation time difference between holes and the propagation time difference of seismic waves in the site medium, thereby completing the superposition calculation of multi-hole blasting vibration.

[0029] In an exemplary embodiment, the embodiment of the present disclosure performs linear superposition of blasting vibration waveforms according to the following formula: ; Where Xi is the blasting vibration waveform of the single hole of the i-th blasthole simulated according to the random vibration prediction model of the i-th blasthole.

[0030] The embodiment of the present disclosure further provides a computer storage medium, in which a computer program is stored. When the computer program is executed by a processor, the method for predicting a blasting vibration waveform is implemented.

[0031] The embodiment of the present disclosure further provides a terminal, comprising: a memory and a processor, wherein a computer program is stored in the memory; The processor is configured to execute the computer program in the memory; When the computer program is executed by a processor, the method for predicting the blasting vibration waveform as described above is implemented.

[0032] Figure 2 The structure block diagram of the device for predicting blasting vibration waveform according to the embodiment of the present disclosure is as follows: Figure 2As shown, it includes: a construction unit, a testing unit, a determination unit and a superposition processing unit; wherein, The construction unit is set as follows: constructing a random vibration prediction model of the blasting vibration waveform according to a modulated filtered white noise model; The test unit is set as follows: for each type of blasthole, the corresponding single-hole waveform of the blasthole is obtained through a single-hole test; The determination unit is set to: determine relevant parameters of the random vibration prediction model of the blasthole according to the obtained single-hole waveform; The superposition processing unit is set to: perform linear superposition of blasting vibration waveforms on the random vibration prediction model of the determined relevant parameters under the multi-hole.

[0033] In an exemplary embodiment, the construction unit of the embodiment of the present disclosure is configured as follows: The blasting vibration waveform is described according to the modulated filtered white noise model, and the random vibration prediction model of the blasting vibration waveform is constructed with the following expression: ; Where t represents time, A(t) represents the deterministic intensity envelope function; x(t) represents a frequency non-stationary random process with zero mean and unit variance; σf(t) represents the standard deviation of the filter's non-stationary response to white noise; h[t-τ, λ(τ)] represents the unit impulse response function of the filter, λ(τ) is an unknown parameter, including the filter damping ratio ξ(τ) and the filter inherent (angular frequency) ω(τ); w(τ) represents random white noise.

[0034] In an exemplary embodiment, the test unit of the embodiment of the present disclosure is further configured as follows: Based on the spatial relationship between the tunnel excavation surface and the measurement point locations, the blast holes are classified into one or any combination of the following: cut holes, cave-in holes, and peripheral holes.

[0035] In an exemplary embodiment, the test unit of the present disclosure is configured as follows: Determine whether to allow single blasthole testing based on pre-determined rock crushing effect information; When a single blast hole test is allowed, the blast hole waveform is obtained through the test; When single blasthole testing is not allowed, the detonation network time is modified to conduct single blasthole testing; Among them, the modified detonation network time includes: the time difference between a single blast hole and an adjacent blast hole is greater than or equal to 100 milliseconds.

[0036] In an exemplary embodiment, the test unit of the embodiment of the present disclosure is configured to determine whether to allow a single blasthole test based on predetermined rock crushing effect information, including: When the waveform caused by the blasting of a single slot hole leads the other slot holes by 50 to 100 milliseconds, it is determined that the test of the single blast hole of the slot hole is allowed; After the slot hole blasting is completed, the vibration waveform test caused by a single cave-in hole is carried out. When a single cave-in hole leads other blast holes except itself by 50-100 milliseconds, it is determined that the test of the single blast hole of the cave-in hole is allowed.

[0037] The slot holes in the disclosed embodiment have a large clamping effect and a large amount of charge per hole, so the blasting vibration amplitude caused by them is the largest. Therefore, the waveform caused by the blasting of a single slot hole must be measured, and this hole should be 50-100ms ahead of other slot holes. After all the slot hole blasting in the disclosed embodiment is completed, the vibration waveform test caused by a single collapse hole is carried out; the test is divided into two stages, the first is slot hole blasting, and then the collapse hole and surrounding holes are blasted; in the second stage, the single collapse hole that needs to be measured is 50-100ms ahead of other blast holes.

[0038] In an exemplary embodiment, the overlay processing unit of the embodiment of the present disclosure is configured as follows: According to the factors of detonation network, charge and distance, the random vibration prediction model with determined relevant parameters under multiple holes is linearly superimposed on the blasting vibration waveform.

[0039] In an exemplary embodiment, the superposition processing unit of the embodiment of the present disclosure is configured to perform linear superposition of blasting vibration waveforms according to the following formula: ; Where Xi is the blasting vibration waveform of the single hole of the i-th blasthole simulated according to the random vibration prediction model of the i-th blasthole.

[0040] It will be appreciated by those skilled in the art that all or some of the steps, systems, and functional modules / units in the methods disclosed above may be implemented as software, firmware, hardware, and appropriate combinations thereof. In hardware implementations, the division between the functional modules / units mentioned in the above description does not necessarily correspond to the division of physical components; for example, a physical component may have multiple functions, or a function or step may be performed by several physical components in cooperation. Some or all components may be implemented as software executed by a processor, such as a digital signal processor or a microprocessor, or implemented as hardware, or implemented as an integrated circuit, such as an application-specific integrated circuit. Such software may be distributed on a computer-readable medium, which may include a computer storage medium (or non-transitory medium) and a communication medium (or transient medium). As is known to those skilled in the art, the term "computer storage medium" includes volatile and non-volatile, removable and non-removable media implemented in any method or technology for storing information (such as computer-readable instructions, data structures, program modules, or other data). Computer storage media include, but are not limited to, RAM, ROM, EEPROM, flash memory or other memory technology, CD-ROM, digital versatile disks (DVD) or other optical disk storage, magnetic cassettes, magnetic tapes, magnetic disk storage or other magnetic storage devices, or any other medium that can be used to store the desired information and can be accessed by a computer. In addition, it is well known to those skilled in the art that communication media typically contain computer-readable instructions, data structures, program modules, or other data in a modulated data signal such as a carrier wave or other transport mechanism, and may include any information delivery media.

Claims

1. A method for predicting blasting vibration waveform, characterized in that: include: A random vibration prediction model of blasting vibration waveform is constructed based on the modulated filtered white noise model; For each type of blasthole, the corresponding single-hole waveform of the blasthole is obtained through single-hole testing; Determine the relevant parameters of the random vibration prediction model of the blasthole according to the obtained single-hole waveform; The random vibration prediction model with determined relevant parameters under multiple holes is linearly superimposed by blasting vibration waveforms.

2. The method according to claim 1, characterized in that The random vibration prediction model of the blasting vibration waveform is constructed according to the modulated filtered white noise model, including: The blasting vibration waveform is described according to the modulated filtered white noise model, and the random vibration prediction model of the blasting vibration waveform is constructed as follows: ； Where t represents time, A(t) represents the deterministic intensity envelope function; x(t) represents a frequency non-stationary random process with zero mean and unit variance; σf(t) represents the standard deviation of the filter's non-stationary response to white noise; h[t-τ, λ(τ)] represents the unit impulse response function of the filter, λ(τ) is an unknown parameter, including the filter damping ratio ξ(τ) and the filter inherent (angular frequency) ω(τ); w(τ) represents random white noise.

3. The method according to claim 1, characterized in that Before obtaining the single-hole waveform corresponding to each type of blasthole through a single blasthole test, the method further comprises: According to the spatial relationship between the tunnel excavation surface and the measuring point position, the blast holes are classified into one of the following or any combination: slot holes, collapse holes and peripheral holes.

4. The method according to any one of claims 1 to 3, characterized in that: For each type of blasthole, the single-hole waveform corresponding to the blasthole is obtained through a single-hole test, including: Determining whether to allow the test of the single blasthole according to predetermined rock crushing effect information; When the test of the single blasthole is allowed, the blasthole waveform is obtained through the test; When the test of the said single blast hole is not allowed, the detonation network time is modified to conduct the test of the single blast hole; Wherein, the modified detonation network time includes: the time difference between a single blast hole and an adjacent blast hole is greater than or equal to 100 milliseconds.

5. The method according to claim 4, characterized in that The step of determining whether to allow a single blasthole test based on predetermined rock crushing effect information includes: When the waveform caused by the blasting of a single slot hole leads the other slot holes by 50 to 100 milliseconds, it is determined that the test of the single blast hole of the slot hole is allowed; After the slot hole blasting is completed, the vibration waveform test caused by a single cave-in hole is carried out. When a single cave-in hole leads other blast holes except itself by 50-100 milliseconds, it is determined that the test of the single blast hole of the cave-in hole is allowed.

6. The method according to any one of claims 1 to 3, characterized in that: The method of linearly superimposing the blasting vibration waveform on the random vibration prediction model for determining relevant parameters under multiple holes includes: According to the detonation network, charge amount and distance factors, the random vibration prediction model for determining relevant parameters under multiple holes is linearly superimposed on the blasting vibration waveform.

7. The method according to claim 6, characterized in that The linear superposition of the blasting vibration waveforms is performed according to the following formula: ； Where Xi is the blasting vibration waveform of the single hole of the i-th blasthole simulated according to the random vibration prediction model of the i-th blasthole.

8. A computer storage medium storing a computer program, wherein the computer storage medium stores a computer program, and when the computer program is executed by a processor, the method for predicting a blasting vibration waveform according to any one of claims 1 to 7 is implemented.

9. A terminal, comprising: A memory and a processor, wherein the memory stores a computer program; wherein, The processor is configured to execute the computer program in the memory; When the computer program is executed by the processor, the method for predicting a blasting vibration waveform according to any one of claims 1 to 7 is implemented.

10. A device for predicting blasting vibration waveform, comprising: A construction unit, a test unit, a determination unit and an overlay processing unit; wherein, The construction unit is set as follows: constructing a random vibration prediction model of the blasting vibration waveform according to a modulated filtered white noise model; The test unit is set as follows: for each type of blasthole, the corresponding single-hole waveform of the blasthole is obtained through a single-hole test; The determination unit is set to: determine relevant parameters of the random vibration prediction model of the blasthole according to the obtained single-hole waveform; The superposition processing unit is set to: perform linear superposition of blasting vibration waveforms on the random vibration prediction model of the determined relevant parameters under the multi-hole.

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