CN115096153A - Active blasting vibration control method based on Fourier series decomposition - Google Patents
Active blasting vibration control method based on Fourier series decomposition Download PDFInfo
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- CN115096153A CN115096153A CN202210801414.9A CN202210801414A CN115096153A CN 115096153 A CN115096153 A CN 115096153A CN 202210801414 A CN202210801414 A CN 202210801414A CN 115096153 A CN115096153 A CN 115096153A
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- 238000005422 blasting Methods 0.000 title claims abstract description 88
- 238000000034 method Methods 0.000 title claims abstract description 22
- 238000000354 decomposition reaction Methods 0.000 title claims abstract description 14
- 239000002245 particle Substances 0.000 claims abstract description 18
- 230000008878 coupling Effects 0.000 claims abstract description 10
- 238000010168 coupling process Methods 0.000 claims abstract description 10
- 238000005859 coupling reaction Methods 0.000 claims abstract description 10
- 239000011435 rock Substances 0.000 claims description 11
- 238000012360 testing method Methods 0.000 claims description 6
- 238000012544 monitoring process Methods 0.000 claims description 4
- 230000003111 delayed effect Effects 0.000 claims description 3
- 238000010276 construction Methods 0.000 description 4
- 238000004364 calculation method Methods 0.000 description 3
- 239000002360 explosive Substances 0.000 description 3
- 238000009412 basement excavation Methods 0.000 description 2
- 230000008901 benefit Effects 0.000 description 2
- 230000008569 process Effects 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000005553 drilling Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000003912 environmental pollution Methods 0.000 description 1
- 238000002474 experimental method Methods 0.000 description 1
- 238000004880 explosion Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000011160 research Methods 0.000 description 1
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F42—AMMUNITION; BLASTING
- F42D—BLASTING
- F42D1/00—Blasting methods or apparatus, e.g. loading or tamping
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F42—AMMUNITION; BLASTING
- F42D—BLASTING
- F42D3/00—Particular applications of blasting techniques
- F42D3/04—Particular applications of blasting techniques for rock blasting
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
- G06F17/12—Simultaneous equations, e.g. systems of linear equations
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/15—Correlation function computation including computation of convolution operations
- G06F17/156—Correlation function computation including computation of convolution operations using a domain transform, e.g. Fourier transform, polynomial transform, number theoretic transform
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Abstract
The invention discloses a Fourier series decomposition-based blasting vibration active control method, which comprises the following steps: the method comprises the steps of obtaining a single-hole blasting vibration waveform, fitting the single-hole blasting vibration waveform by adopting a Fourier series general equation, calculating different fitting series K meeting fitting accuracy to obtain a single-hole blasting vibration waveform fitting function, establishing a particle coupling vibration function under a delay blasting condition according to the single-hole blasting vibration waveform fitting function, and carrying out detonator delay blasting vibration active control according to the particle coupling vibration function under the delay blasting condition. The method is based on Fourier series decomposition theory, a single-hole vibration waveform fitting function is obtained, further theoretical analysis of detonator delay working conditions is achieved, optimal detonator delay can be calculated, and blasting vibration active control based on detonator delay is achieved.
Description
Technical Field
The invention relates to the technical field of engineering blasting, in particular to a blasting vibration active control method based on Fourier series decomposition.
Background
In the rock mass drilling, blasting and excavating process, most of energy released by explosive explosion can be outwards transmitted in the form of waves to induce rock mass medium vibration, and the safety of adjacent buildings and facility equipment is influenced, so that for rock mass blasting and excavating in a complex environment, the core aim is to ensure that the vibration does not exceed the standard, and the active control of blasting vibration is realized. In order to control the intensity of the induced vibration of the explosive, the common methods at present are to reduce the blasting scale, reduce the primary explosive quantity and the like, however, the above methods often result in the extension of the construction period and increase the construction operation cost. How to consider the construction efficiency and cost of rock blasting excavation and realize multiple requirements of vibration active control is one of the research hotspots in the field of blasting engineering.
The electronic detonator is widely applied to rock blasting construction with the advantages of accurate delay time, small error and the like, and gradually replaces the traditional plastic detonating tube detonator. At the present stage, blasting parameters related to digital electronic detonator delay are designed by using traditional detonator delay, and a complete calculation theory and a complete calculation method of a system are not published. The advantage of accurate time delay of the electronic detonator is difficult to be played by referring to the existing method.
Disclosure of Invention
The embodiment of the invention provides a blasting vibration active control method based on Fourier series decomposition, which comprises the following steps:
acquiring single-hole blasting vibration waveforms according to single-hole blasting induced rock mass medium particle blasting vibration data at different blasting center distances;
fitting the single-hole blasting vibration waveform by adopting a Fourier series general equation, and calculating coefficients of various Fourier series and different fitting series K meeting the fitting precision to obtain a single-hole blasting vibration waveform fitting function;
establishing a particle coupling vibration function under a delay blasting condition according to the single-hole blasting vibration waveform fitting function;
and carrying out blasting vibration active control of detonator delay according to the particle coupling vibration function under the delay blasting condition.
Preferably, acquiring a single hole blast vibration waveform comprises:
performing a single-hole blasting test in a blasting area;
arranging a plurality of blasting vibration sensors at different blasting center distances of a measuring line;
setting instrument monitoring parameters, and acquiring single-hole blasting induced rock mass medium particle blasting vibration data at different blasting center distances;
and (3) obtaining a single-hole blasting vibration waveform according to the single-hole blasting induced rock mass medium particle blasting vibration data at different blasting center distances.
Preferably, the error of the fitting function of the single-hole blasting vibration waveform and the error of the measured single-hole waveform meet the fitting standard deviation of less than 0.002, and the correlation coefficient is more than 0.995.
Preferably, the general equation for fitting a single hole blast vibration waveform using a Fourier series includes:
wherein, each fitting coefficient is respectively expressed as:
preferably, the expression of the single-hole blasting vibration waveform fitting function comprises:
Preferably, the establishing of the particle coupling vibration function under the delayed blasting condition according to the single-hole blasting vibration waveform fitting function comprises:
establishing a curve function expression of the single-hole vibration waveform under different delay conditions based on a single-hole blasting vibration waveform fitting function, wherein v (t, delta t) is f (t-delta t);
establishing a particle coupling vibration function under the condition of time delay blasting,
the embodiment of the invention provides a blasting vibration active control method based on Fourier series decomposition, which has the following beneficial effects compared with the prior art:
1. compared with the prior art that a plurality of field experiments are required to be carried out to carry out detonator delay debugging, the technical scheme is based on the Fourier series decomposition theory to obtain a single-hole vibration waveform fitting function, further theoretical analysis of detonator delay working conditions is realized, the optimal detonator delay can be calculated, and blasting vibration active control based on detonator delay is realized.
2. The method avoids the problems of environmental pollution, disturbance of residents and the like in the process of finding and blasting the test site in the prior technical scheme, and has simple and convenient calculation and good effect.
Drawings
FIG. 1 is a flow chart of an implementation of an active control method of blasting vibration based on Fourier series decomposition;
FIG. 2 is a schematic diagram of a single hole burst test;
FIG. 3 is a comparison graph of the measured blasting vibration waveform and the fitting waveform;
fig. 4 shows the peak value of the delayed blasting vibration between different holes.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Referring to fig. 1 to 4, in this embodiment, a single-hole blasting test is performed by taking excavation of a certain hydropower station engineering stock ground as an example, blasting-induced particle vibration monitoring is performed by vibration sensors at different blasting center distances to obtain a single-hole vibration waveform, a single-hole waveform fitting function is obtained based on Fourier series decomposition, and then blasting vibration active control based on accurate time delay of detonators is realized. The blasting vibration active control method based on Fourier series decomposition provided by the embodiment is sequentially carried out according to the following steps:
step 2, selecting a measuring line, and arranging not less than 2 blasting vibration sensors at different blasting center distances;
step 3, setting instrument monitoring parameters, and acquiring single-hole blasting induced rock mass medium particle blasting vibration data at different blasting center distances; in order to ensure that the acquisition parameters of the vibration sensor are not distorted, the instrument parameters are set to 10000sps, the recording time is 5s, and the trigger threshold is 0.035 cm/s.
And 4, after obtaining the single-hole blasting vibration waveform, constructing a single-hole waveform fitting function based on a Fourier series decomposition theory.
1) Establishing a general equation of Fourier series,
wherein
2) Selecting different fitting series k, and calculating fitting functions, actually measured single-hole waveform errors and related coefficients; in order to ensure the fitting precision, the error between the waveform fitting function and the actually measured single-hole waveform should meet the fitting standard deviation less than 0.002 and the correlation coefficient greater than 0.995.
3) Constructing a waveform fitting function f (t):
And 5, combining the single-hole waveform fitting function curve to obtain blasting vibration peak value information under different time delay conditions.
1) And establishing a function expression of the waveform curve of the single-hole vibration under different delay conditions based on the waveform fitting function, wherein v (t, delta t) is f (t-delta t).
2) Establishing a particle coupling vibration function under the condition of time delay blasting,
TABLE 1 List of coupled vibration peaks under different delay conditions
And 6, establishing a corresponding vibration control standard by combining a blasting safety regulation (GB6722) and similar engineering experience, and realizing blasting vibration active control based on detonator delay.
Although the present invention has been described in detail with reference to the specific embodiments, it should be understood that various changes and modifications can be made by those skilled in the art without departing from the spirit and scope of the invention.
Claims (6)
1. A blasting vibration active control method based on Fourier series decomposition is characterized by comprising the following steps:
acquiring a single-hole blasting vibration waveform;
fitting the single-hole blasting vibration waveform by using a Fourier series general equation, and calculating different fitting series K meeting the fitting precision to obtain a single-hole blasting vibration waveform fitting function;
establishing a particle coupling vibration function under a delay blasting condition according to the single-hole blasting vibration waveform fitting function;
and carrying out blasting vibration active control of detonator delay according to the particle coupling vibration function under the delay blasting condition.
2. A method as claimed in claim 1, wherein said obtaining a single-hole blasting vibration waveform comprises:
performing a single-hole blasting test in a blasting area;
arranging a plurality of blasting vibration sensors at different blasting center distances of one measuring line;
setting instrument monitoring parameters, and acquiring single-hole blasting induced rock mass medium particle blasting vibration data at different blasting center distances;
and (3) obtaining a single-hole blasting vibration waveform according to the single-hole blasting induced rock mass medium particle blasting vibration data at different blasting center distances.
3. A method as claimed in claim 1, wherein said general equation for fitting a waveform of a single hole blast vibration using Fourier series includes:
wherein, each fitting coefficient is respectively expressed as:
4. the active control method for blast vibration based on Fourier series decomposition of claim 1, wherein the error between the fitting function of the waveform of the single hole blast vibration and the actually measured single hole waveform satisfies the fitting standard deviation less than 0.002 and the correlation coefficient more than 0.995.
5. A method as claimed in claim 1, wherein said single-hole blasting vibration waveform fitting function expression comprises:
6. A method as claimed in claim 1, wherein the establishing of the particle-coupled vibration function under the delayed blasting condition according to the waveform fitting function of the single-hole blasting vibration comprises:
establishing a curve function expression of the single-hole vibration waveform under different delay conditions based on a single-hole blasting vibration waveform fitting function, wherein v (t, delta t) is f (t-delta t);
establishing a particle coupling vibration function under the condition of time delay blasting,
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|---|---|---|---|---|
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| KR100733346B1 (en) * | 2006-05-03 | 2007-06-28 | 에스케이건설 주식회사 | Blasting pattern design method designed by segmenting region applied multi-step delayed time of electronic detonator for reducing vibration and noise |
| CN106092311A (en) * | 2016-06-08 | 2016-11-09 | 武汉大学 | A kind of blasting circuit quality evaluating method based on actual measurement dither blasting vibration signal |
| CN107941104A (en) * | 2017-11-03 | 2018-04-20 | 北京科技大学 | Tunnel slotting explosive load design method based on porous short-delay blasting vibration composite calulation |
| CN108413821A (en) * | 2018-03-21 | 2018-08-17 | 长安大学 | Mintrop wave based on electronic digital detonator inhibits blasting construction method |
| CN110261907A (en) * | 2019-07-19 | 2019-09-20 | 河南理工大学 | A kind of blasting vibration effect damage state assessment method of masonry structure |
| CN110487136A (en) * | 2019-08-23 | 2019-11-22 | 贵州大学 | A kind of bench blasting millisecond time-delay compacting drop method of slight based on spectral overlay |
| CN111241679A (en) * | 2020-01-10 | 2020-06-05 | 重庆中环建设有限公司 | Tunnel blasting parameter design method based on digital electronic detonator detonation |
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2022
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