CN114166892B - Loaded rock sample damage self-potential imaging method based on network parallel electrical method - Google Patents
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Abstract
The invention discloses a self-potential imaging method for damage of a loaded rock sample based on a network parallel electrical method, wherein a plurality of measuring lines are uniformly arranged on the circumferential surface of the loaded rock sample; then, measuring electrodes with the same quantity are arranged on each measuring wire, and each electrode is marked; when the loaded sample is axially compressed, a network parallel electric method instrument is adopted to synchronously collect self-potential data of all electrodes at the time T 0 before the rock sample is loaded and the time T p in the loading process respectively, so that the background self-potential gradient and the position of the background self-potential gradient between each measuring line before the rock sample is loaded at the time T 0 are obtained through calculation, and the self-potential gradient and the position of the self-potential gradient between each measuring line in the rock sample loading process at the time T p are obtained through calculation; then, according to the obtained data, calculating a rock sample self-potential gradient difference value and a position thereof at corresponding positions of the moment T 0 and the moment T p; and finally, processing the obtained data by adopting an interpolation method to obtain a surface self-potential gradient cloud picture, and further judging and grading the damaged area of the rock sample according to the self-potential gradient in the cloud picture.
Description
Technical Field
The invention relates to a self-potential imaging method for damage of a loaded rock sample, in particular to a self-potential imaging method for damage of the loaded rock sample based on a network parallel electric method.
Background
Along with the deep mining of China to obtain deep coal mine resources, the method effectively monitors and early warns dynamic disasters (rock burst, coal and gas outburst and the like) of coal and rock, and is a key point for guaranteeing the safe production of coal mines. Due to the reasons of large mining environment interference, complex cause of coal mine dynamic disasters and the like, the adoption of a multi-field (stress field, earthquake field, electromagnetic field and the like) coupling method for monitoring and early warning the coal rock dynamic disasters is the most effective means at present. In the comprehensive early warning process, the characteristic of abnormal evolution of the self-electric field in the coal rock dynamic disaster inoculation process is an indispensable part of the coal rock dynamic disaster inoculation process. Therefore, the monitoring of the deformation, cracking and evolution process of the coal and rock (namely the determination of the damaged area of the rock sample) is an important means for monitoring and early warning the dynamic disaster inoculation and occurrence process of the coal and rock.
The method for detecting the damage of the loaded rock sample by self-potential imaging is one of passive source exploration methods of a ground electric field, can realize the detection of the damage of the rock sample, is a detection method for sticking a plurality of detection electrodes to the surface of the rock sample and collecting potential signals in the loading process of the rock sample, and can be used for indicating the damaged and broken area of the rock sample due to the obvious change of the self-potential of the loaded rock sample in the damaged area, and can obtain the demarcation of the broken area of a deep coal seam after loading through the damaged and broken area of the rock sample; however, the existing loaded rock sample self-potential imaging method has low determination accuracy on the rock sample damaged area, and no research on determining the rock sample damaged area by adopting self-potential gradient imaging is seen yet.
Disclosure of Invention
Aiming at the problems in the prior art, the invention provides a self-potential imaging method for the damage of the loaded rock sample based on a network parallel electrical method, which adopts a self-potential gradient imaging mode, thereby effectively improving the judgment precision of the damaged and broken area of the rock sample.
In order to achieve the above purpose, the technical scheme adopted by the invention is as follows: a loaded rock sample damage self-potential imaging method based on a network parallel electrical method comprises the following specific steps:
A. Selecting a coal rock mass from a coal seam needing deep mining, and manufacturing a cylindrical rock sample from the coal rock mass as a loaded rock sample;
B. M measuring lines are uniformly arranged on the circumferential surface of the loaded rock sample, and each measuring line is parallel to the axis of the loaded rock sample; respectively and sequentially numbered as L 1,L2,……Li, i=1 to M; the length of each measuring line is L, N measuring electrodes are arranged on each measuring line at equal intervals, the electrodes on each measuring line are respectively numbered, namely the measuring electrodes on the measuring line L 1 are El 11,El12,……,El1N in sequence; the measuring electrodes on the measuring line L 2 are El 21,El22,……,El2N in sequence; the measuring electrodes on the measuring line L 3 are El 31,El32,……,El3N in sequence; then the measuring electrodes on the measuring line L i are El i1,Eli2,……,Elij in sequence, j=1 to N; expanding the circumferential surface of M measuring lines into a rectangle along the circumferential direction of the rock sample, wherein the coordinates of the measuring lines El 11 are set as
C. When the loaded sample is axially compressed, the self-potential change amplitude in the horizontal direction is obviously better than the axial self-potential change amplitude in the rock sample loading process, so that the horizontal direction is selected as the self-potential gradient change direction; synchronous acquisition of self-potential data of all electrodes is carried out at the time T 0 before loading the rock sample and the time T p in the loading process by adopting a network parallel electric method instrument, and the radius of the rock sample is set as r: and further calculating to obtain the background self-potential gradient between each measuring line before loading the rock sample at the moment T 0 And the spatial position thereof, and calculate and obtain the self-potential gradient between each measuring line in the rock sample loading process at the moment T p And its spatial location; then, according to the obtained data, the self-potential gradient difference value/>, of the rock sample at the corresponding positions of the moment T 0 and the moment T p is calculatedAnd its spatial location;
D. The self-potential gradient difference of all the spatial positions obtained in the step C is calculated Data, processing by adopting an interpolation method to obtain a surface self-potential gradient cloud picture, finally judging a rock sample damage area according to the self-potential gradient in the cloud picture, and if the self-potential gradient difference/>Judging the damage degree of the rock sample as grade I; if the self-potential gradient difference in the region/>And judging the damage degree of the rock sample to be grade II, thereby realizing grading of damaged areas of the rock sample.
Further, the step C specifically includes:
at time T 0, background self-potential gradients between various survey lines before loading of a rock sample And its spatial position is calculated as follows:
(1) Self-potential gradient between two electrodes on two adjacent lines L i and L i+1 and on the same horizontal line The calculation formula of (2) is as follows:
Wherein i=1 to M-1, j=1 to N;
self-potential gradient Is/>
(2) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L i and L i+2 The calculation formula of (2) is as follows:
wherein i=1 to M-2, j=1 to N;
self-potential gradient Is/>
(3) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L M and L 1 The calculation formula of (wherein j=1 to N) is:
wherein j=1 to N;
self-potential gradient Is/>
At time T p, self-potential gradient between each survey line in rock sample loading processThe method for calculating the spatial position of the sensor is as follows:
(1) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L i and L i+1 The calculation formula of (2) is as follows:
Wherein i=1 to M-1, j=1 to N;
self-potential gradient Is/>
(2) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L i and L i+2 The calculation formula of (2) is as follows:
wherein i=1 to M-2, j=1 to N;
self-potential gradient Is/>
(3) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L M and L 1 The calculation formula of (2) is as follows:
wherein j=1 to N;
self-potential gradient Is/>
Calculating the rock sample self-potential gradient difference value of the corresponding positions of the moment T 0 and the moment T p And the space positions thereof are specifically as follows:
(1) Self-potential gradient difference between two electrodes on the same horizontal line and on the lines L i and L i+1L1 The calculation formula of (2) is as follows:
Wherein i=1 to M-1, j=1 to N;
Self potential gradient difference Is/>
(2) Self-potential gradient difference between two electrodes on the same horizontal line and on the lines L i and L i+2 The calculation formula of (2) is as follows:
wherein i=1 to M-2, j=1 to N;
Self potential gradient difference Is/>
(3) Self-potential gradient difference between two electrodes on the same horizontal line and on the lines L M and L 1 (Wherein j=1 to N) the calculation formula is:
wherein j=1 to N;
Self potential gradient difference Is/>
Further, the number of the measuring lines is 2-9.
Compared with the prior art, the method has the advantages that a plurality of measuring lines are uniformly distributed on the circumferential surface of the loaded rock sample, and each measuring line is parallel to the axis of the loaded rock sample; then, the measuring electrodes with the same quantity are arranged on each measuring wire, and the measuring electrodes on each measuring wire are distributed on the measuring wires at the same equidistant intervals, so that the electrode distribution positions of each measuring wire are completely the same; and labeling each electrode; when the loaded sample is axially compressed, the self-potential change amplitude in the horizontal direction is obviously better than the axial self-potential change amplitude in the rock sample loading process, so that the horizontal direction is selected as the self-potential gradient change direction; synchronously acquiring self-potential data of all electrodes at a time T 0 before loading the rock sample and a time T p in the loading process by adopting a network parallel electric method instrument, further calculating to obtain background self-potential gradients among all measuring lines before loading the rock sample at a time T 0 and space positions of the background self-potential gradients, and calculating to obtain self-potential gradients among all measuring lines in the loading process of the rock sample at a time T p and space positions of the self-potential gradients; then, according to the obtained data, calculating a rock sample self-potential gradient difference value and a space position thereof at corresponding positions of the moment T 0 and the moment T p; and finally, processing the obtained data by adopting an interpolation method to obtain a surface self-potential gradient cloud picture, and further judging and grading the damaged area of the rock sample according to the self-potential gradient in the cloud picture. According to the invention, the determination of the damaged area of the rock sample is carried out in a horizontal self-potential gradient imaging mode, so that the determination precision of the damaged and broken area of the rock sample is effectively improved, the broken area of the deep coal seam after loading is conveniently determined later, and the effective monitoring and early warning of coal and rock dynamic disasters are realized.
Drawings
FIG. 1 is a schematic diagram of the self-potential acquisition line and electrode arrangement of the present invention;
Fig. 2 is a schematic view of the self-potential acquisition line and electrode arrangement of fig. 1 after deployment in the circumferential direction of the loaded rock sample.
Detailed Description
The present invention will be further described below.
As shown in fig. 1, the specific steps of the invention are as follows:
A. Selecting a coal rock mass from a coal seam needing deep mining, and manufacturing a cylindrical rock sample from the coal rock mass as a loaded rock sample;
B. M measuring lines are uniformly distributed on the circumferential surface of the loaded rock sample, wherein M is more than or equal to 2 and less than or equal to 9, and each measuring line is parallel to the axis of the loaded rock sample; respectively and sequentially numbered as L 1,L2,……Li, i=1 to M; the length of each measuring line is L, N measuring electrodes are arranged on each measuring line at equal intervals, the electrodes on each measuring line are numbered respectively, and the measuring electrodes on the measuring line L i are El i1,Eli2,……,Elij, and j=1 to N in sequence; as shown in fig. 2, the circumferential surface of the M measuring lines is unfolded into a rectangle along the circumferential direction of the rock sample, wherein the coordinates of the measuring line El 11 are set as
C. When the loaded sample is axially compressed, the self-potential change amplitude in the horizontal direction is obviously better than the axial self-potential change amplitude in the rock sample loading process, so that the horizontal direction is selected as the self-potential gradient change direction; synchronous acquisition of self-potential data of all electrodes is carried out at the time T 0 before loading the rock sample and the time T p in the loading process by adopting a network parallel electric method instrument, and the radius of the rock sample is set as r: and further calculating to obtain the background self-potential gradient between each measuring line before loading the rock sample at the moment T 0 And the spatial position thereof, and calculate and obtain the self-potential gradient between each measuring line in the rock sample loading process at the moment T p And its spatial location; then, according to the obtained data, the self-potential gradient difference value/>, of the rock sample at the corresponding positions of the moment T 0 and the moment T p is calculatedAnd its spatial location; the method comprises the following steps:
at time T 0, background self-potential gradients between various survey lines before loading of a rock sample And its spatial position is calculated as follows:
(1) Self-potential gradient between two electrodes on two adjacent lines L i and L i+1 and on the same horizontal line The calculation formula of (2) is as follows:
Wherein i=1 to M-1, j=1 to N;
self-potential gradient Is/>
(2) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L i and L i+2 The calculation formula of (2) is as follows:
wherein i=1 to M-2, j=1 to N;
self-potential gradient Is/>
(3) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L M and L 1 The calculation formula of (wherein j=1 to N) is:
wherein j=1 to N;
self-potential gradient Is/>
At time T p, self-potential gradient between each survey line in rock sample loading processThe method for calculating the spatial position of the sensor is as follows:
(1) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L i and L i+1 The calculation formula of (2) is as follows:
Wherein i=1 to M-1, j=1 to N;
self-potential gradient Is/>
(2) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L i and L i+2 The calculation formula of (2) is as follows:
wherein i=1 to M-2, j=1 to N;
self-potential gradient Is/>
(3) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L M and L 1 The calculation formula of (2) is as follows:
wherein j=1 to N;
self-potential gradient Is/>
Calculating the rock sample self-potential gradient difference value of the corresponding positions of the moment T 0 and the moment T p And the space positions thereof are specifically as follows:
(1) Self-potential gradient difference between two electrodes on the same horizontal line and on the lines L i and L i+1L1 The calculation formula of (2) is as follows:
Wherein i=1 to M-1, j=1 to N;
Self potential gradient difference Is/>
(2) Self-potential gradient difference between two electrodes on the same horizontal line and on the lines L i and L i+2 The calculation formula of (2) is as follows:
wherein i=1 to M-2, j=1 to N;
Self potential gradient difference Is/>
(3) Self-potential gradient difference between two electrodes on the same horizontal line and on the lines L M and L 1 (Wherein j=1 to N) the calculation formula is:
wherein j=1 to N;
Self potential gradient difference Is/>
D. The self-potential gradient difference of all the spatial positions obtained in the step C is calculatedData, processing by adopting an interpolation method to obtain a surface self-potential gradient cloud picture, finally judging a rock sample damage area according to the self-potential gradient in the cloud picture, and if the self-potential gradient difference/>Judging the damage degree of the rock sample as grade I; if the self-potential gradient difference in the region/>And judging the damage degree of the rock sample to be grade II, thereby realizing grading of damaged areas of the rock sample.
The foregoing is only a preferred embodiment of the invention, it being noted that: it will be apparent to those skilled in the art that various modifications and adaptations can be made without departing from the principles of the present invention, and such modifications and adaptations are intended to be comprehended within the scope of the invention.
Claims (3)
1. A loaded rock sample damage self-potential imaging method based on a network parallel electrical method is characterized by comprising the following specific steps:
A. Selecting a coal rock mass from a coal seam needing deep mining, and manufacturing a cylindrical rock sample from the coal rock mass as a loaded rock sample;
B. M measuring lines are uniformly arranged on the circumferential surface of the loaded rock sample, and each measuring line is parallel to the axis of the loaded rock sample; respectively and sequentially numbered as L 1,L2,……Li, i=1 to M; the length of each measuring line is L, N measuring electrodes are arranged on each measuring line at equal intervals, the electrodes on each measuring line are numbered respectively, and the measuring electrodes on the measuring line L i are El i1,Eli2,……,Elij, and j=1 to N in sequence; expanding the circumferential surface of M measuring lines into a rectangle along the circumferential direction of the rock sample, wherein the coordinates of the measuring lines El 11 are set as
C. When the loaded sample is axially compressed, the self-potential change amplitude in the horizontal direction is obviously better than the axial self-potential change amplitude in the rock sample loading process, so that the horizontal direction is selected as the self-potential gradient change direction; synchronous acquisition of self-potential data of all electrodes is carried out at the time T 0 before loading the rock sample and the time T p in the loading process by adopting a network parallel electric method instrument, and the radius of the rock sample is set as r: and further calculating to obtain the background self-potential gradient between each measuring line before loading the rock sample at the moment T 0 And the spatial position thereof, and calculating and obtaining the self potential gradient/>, between each measuring line in the rock sample loading process at the moment T p And its spatial location; then, according to the obtained data, calculating the self-potential gradient difference value of the rock sample at the corresponding position of the moment T 0 and the moment T p And its spatial location;
D. The self-potential gradient difference of all the spatial positions obtained in the step C is calculated Data, processing by adopting an interpolation method to obtain a surface self-potential gradient cloud picture, finally judging a rock sample damage area according to the self-potential gradient in the cloud picture, and if the self-potential gradient difference/>Judging the damage degree of the rock sample as grade I; if the self-potential gradient difference in the regionAnd judging the damage degree of the rock sample to be grade II, thereby realizing grading of damaged areas of the rock sample.
2. The method for self-potential imaging of damage to a loaded rock sample based on network parallel electrical method of claim 1, wherein the step C is specifically:
at time T 0, background self-potential gradients between various survey lines before loading of a rock sample And its spatial position is calculated as follows:
(1) Self-potential gradient between two electrodes on two adjacent lines L i and L i+1 and on the same horizontal line The calculation formula of (2) is as follows:
Wherein i=1 to M-1, j=1 to N;
self-potential gradient Is/>
(2) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L i and L i+2 The calculation formula of (2) is as follows:
wherein i=1 to m=2, j=1 to N;
self-potential gradient Is/>
(3) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L M and L 1 The calculation formula of (wherein j=1 to N) is:
wherein j=1 to N;
self-potential gradient Is/>
At time T p, self-potential gradient between each survey line in rock sample loading processThe method for calculating the spatial position of the sensor is as follows:
(1) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L i and L i+1 The calculation formula of (2) is as follows:
Wherein i=1 to M-1, j=1 to N;
self-potential gradient Is/>
(2) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L i and L i+2 The calculation formula of (2) is as follows:
wherein i=1 to M-2, j=1 to N;
self-potential gradient Is/>
(3) Self-potential gradient between two electrodes on the same horizontal line and on the measuring lines L M and L 1 The calculation formula of (2) is as follows:
wherein j=1 to N;
self-potential gradient Is/>
Calculating the rock sample self-potential gradient difference value of the corresponding positions of the moment T 0 and the moment T p And the space positions thereof are specifically as follows:
(1) Self-potential gradient difference between two electrodes on the same horizontal line and on the lines L i and L i+1L1 The calculation formula of (2) is as follows:
Wherein i=1 to M-1, j=1 to N;
Self potential gradient difference Is/>
(2) Self-potential gradient difference between two electrodes on the same horizontal line and on the lines L i and L i+2 The calculation formula of (2) is as follows:
wherein i=1 to M-2, j=1 to N;
Self potential gradient difference Is/>
(3) Self-potential gradient difference between two electrodes on the same horizontal line and on the lines L M and L 1 The calculation formula of (2) is as follows:
wherein j=1 to N;
Self potential gradient difference Is/>
3. The method for self-potential imaging of damage to a rock sample under load based on network parallel electrical method of claim 1, wherein the number of the measuring lines is 2.ltoreq.m.ltoreq.9.
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| US8725477B2 (en) * | 2008-04-10 | 2014-05-13 | Schlumberger Technology Corporation | Method to generate numerical pseudocores using borehole images, digital rock samples, and multi-point statistics |
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