CN103278855A - Method for eliminating influence of roadways and terrains on apparent resistivity in direct-current exploration - Google Patents
Method for eliminating influence of roadways and terrains on apparent resistivity in direct-current exploration Download PDFInfo
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- CN103278855A CN103278855A CN2013101732869A CN201310173286A CN103278855A CN 103278855 A CN103278855 A CN 103278855A CN 2013101732869 A CN2013101732869 A CN 2013101732869A CN 201310173286 A CN201310173286 A CN 201310173286A CN 103278855 A CN103278855 A CN 103278855A
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Abstract
The invention discloses a method for eliminating the influence of roadways and terrains on the apparent resistivity in direct-current exploration. The method comprises the following steps of establishing a model according to a roadway shape, the roadway cutting depth, topographic relief elevation and the like; taking the minimum value of the formation resistivity of an exploration area as the resistivity of a uniform half-space containing the roadways and the terrains; putting a power supply electrode at a corresponding position in the model according to the type of the adopted device for direct-current exploration and the electrode distribution mode; performing one-time three-dimensional numerical simulation every time the power supply electrode moves, obtaining potential response of a background field, and interpolating to obtain potential difference between receiving electrodes as potential difference of the background field; deducing an apparent resistivity formula from a potential formula of a point current source in the horizontal uniform self-space; and subtracting the potential difference of the background field from the measured potential difference to obtain potential different without the influence of the roadways and the terrains, and substituting the potential difference into an apparent resistivity formula of a current source in an underground self-space to obtain the relative apparent resistivity. The method can be widely applied to direct-current resistivity exploration projects.
Description
Technical field
The invention belongs to electricity and electromagnetic prospecting field, be specifically related to eliminate the technology that tunnel and landform influence apparent resistivity in the dc resistivity exploration.
Background technology
Apparent resistivity is one of important method of resistivity prospecting data explanation.In underground and ground DC electrical method is surveyed, distorted by the apparent resistivity of tunnel and the influence of topography, often with the unusual mixing of geologic objective body, cause explaining error even erroneous judgement.The tunnel influence is a kind of distortion to the constant current field normal distribution, and with device form, cloth utmost point mode, topographic relief degree and tunnel geometric configuration, multiple factors such as stratum electric conductivity are relevant.This influence is non-linear with the variation of transmitting electrode, attempts to find factor of influence
[1]It is difficult realizing proofreading and correct.The influence of topography also is a kind of distortion to constant current field.The common value correcting method that compares
[2], because the homogeneous half space resistivity value of simulating pure landform response is difficult for determining, when underground electrical structure became complexity, the precision of this correcting method reduced, even draws error result.If rely on the three-dimensional numerical value inverting that comprises tunnel and landform fully
[3], with necessary ingredient in this data inversion interpretation of disappearance apparent resistivity.And the ill-posedness of geophysics indirect problem, the instability in the 3-d inversion and multi-solution, calculated amount are huge etc., and problem is still waiting to solve.For this reason, the present invention is according to the sumproperties of current field in the linear medium, utilize three-dimensional numerical value just drilling the influence of peeling off tunnel, landform,, provide underground and ground direct current and explore the blanket apparent resistivity formula of various devices at underground homogeneous half space current potential from point electric current source.
There is following defective in prior art:
1. in the DC electrical method on underground and ground is surveyed, distorted by the apparent resistivity of tunnel and the influence of topography, often with the unusual mixing of geologic objective body, cause explaining error even erroneous judgement;
2. tunnel influence and device form, cloth utmost point mode, topographic relief degree and tunnel geometric configuration, multiple factors such as stratum electric conductivity are relevant, and non-linearly change with polar distance of supplying power, and it is difficult attempting to find factor of influence to realize proofreading and correct;
3. common ratio is proofreaied and correct the method for the influence of topography, and because the homogeneous half space resistivity value of simulating pure landform response is difficult for determining, when underground electrical structure became complexity, the precision of this correcting method reduced, even draws error result;
4. if rely on the three-dimensional numerical value inverting that comprises tunnel and landform fully, with necessary ingredient in this data interpretation of disappearance apparent resistivity.Moreover 3-d inversion self also exists problems such as instability and height nonuniqueness;
5. original underground and ground direct current apparent resistivity, respectively from the homogeneous half space surface electric current source electric potential formula and evenly in the total space current potential formula of current source derive, can not be general.For overhead nearer subsurface investigation, original apparent resistivity that the current potential formula of current source is derived from the even total space has bigger error.
Documents
[1] Yue Jianhua, Li Zhidan. the tunnel influence in the mine direct current method exploration. coal journal, 1999,24 (1): 7-10
[2] Holcomble HT, Jiracek G R. Three dimensional terrain correction in resistivitysurveys. Geophysics, 1984, 49(4): 439~452
[3] Wu Xiaoping. resistivity 3-d inversion under the non-flat forms topographic condition. Chinese Journal of Geophysics, 2005,48 (4): 932-936.
Summary of the invention
The object of the present invention is to provide a kind of tunnel and landform eliminated to the method for direct current exploration apparent resistivity influence, to eliminate in the dc resistivity exploration tunnel and landform the influence of apparent resistivity is improved the explanation precision of D.C. method.
In order to solve above technical matters, the present invention by the following technical solutions.
A kind of tunnel and landform eliminated is characterized in that the additivity according to constant current field in the linear medium to the method for direct current exploration apparent resistivity influence, and the tunnel in the homogeneous half space and landform are separated from ground electricity structure, specifically may further comprise the steps:
Step 1 is set up model according to roadway shape and cutting depth, topographic relief elevation etc.;
Step 2 is with the minimum value of the exploration area formation resistivity resistivity as the homogeneous half space that contains tunnel and band landform;
Step 3 is with transmitting electrode
With
Type of device and cloth utmost point mode according to the direct current exploration is adopted are placed on the correspondence position in the model;
Step 4, the every movement of transmitting electrode are once carried out a three-dimensional numerical value simulation, obtain the potential response of ambient field, and interpolation obtains receiving electrode again
With
Between potential difference (PD)
Chang potential difference (PD) as a setting;
Step 5 is arranged in horizontal homogeneous half space current potential formula, derivation apparent resistivity formula: transmitting electrode in the ground from point electric current source
With
Form current return, any point in the ground is arranged
The current potential formula
In the formula
Be ground resistivity,
Be supply current,
With
It is respectively power supply
And virtual source
Arrive
Distance,
With
It is respectively power supply
And virtual source
Arrive
Distance, any point in the ground
Current potential be
（2）
Formula (1) and formula (2) subtract each other, and obtain receiving electrode
With
Between potential difference (PD)
Formula (3) is derived
As apparent resistivity, computing formula is as follows
In formula (4)
When being non-horizontal homogeneous half space for actual measurement potential difference (PD), the earth, the ground resistivity in the formula
Be apparent resistivity, following formula is the formula that calculates apparent resistivity, wherein
（5）
Be electrode coefficient;
Step 6 is with described actual measurement potential difference (PD)
Deduct the potential difference (PD) of field as a setting
, obtain not having the potential difference (PD) of tunnel and the influence of topography
, utilize following formula
Calculate restivity
, namely be the apparent resistivity of having eliminated tunnel and the influence of topography.
Described restivity is added the be eliminated absolute apparent resistivity of tunnel and the influence of topography of the above homogeneous half space resistivity.
The described step 5 apparent resistivity that current source current potential formula is derived from homogeneous half space can be applicable to subsurface investigation and ground location simultaneously.
Described method can be applicable to underground and whole electrical resistivity survey methods ground, comprise section and depth measurement, forward probe, roof and floor and lateral wall detection etc., and four kinds of basic device types such as one pole-dipole, dipole-one pole, one pole-one pole, dipole-dipole and combination in any.
The present invention has beneficial effect.The rock forming mineral of the overwhelming majority except ferromagnetic mineral in the field strength range of D.C. method, is linear medium.Utilize the sumproperties of constant current field, eliminate tunnel and the influence of topography by partition method.This separation null method has solved and has proofreaied and correct the difficulty of determining factor of influence in the influence of tunnel, does not have common ratioing technigue topographic correction homogeneous half space resistivity to determine the improper error of bringing.Applying three-dimensional numerical value is just drilled in the apparent resistivity of inversion interpretation important component part, has avoided relying on fully problem such as instability, multi-solution and calculated amount that 3-d inversion brings be huge.The apparent resistivity that current source current potential formula is derived from homogeneous half space can switch in underground and ground location naturally, not only need not transformation for mula, and guaranteed the precision of apparent resistivity when close ground, tunnel.The present invention compatibly down and whole electrical resistivity survey methods on ground, as section and depth measurement, forward probe, roof and floor and lateral wall detection etc., and four kinds of basic device types such as one pole-dipole, dipole-one pole, one pole-one pole, dipole-dipole and combination in any.
Description of drawings
Fig. 1 is underground some current field distribution plan, wherein
Be point electric current source in the ground,
Be the virtual source of symmetric position,
Be source and virtual source to the distance on ground,
Be in the ground more arbitrarily, the band arrow dotted line be the electric current line.
Fig. 2 is the rugged topography homogeneous half space computation model synoptic diagram that contains the tunnel, wherein
Be the earth and air interface,
Be tunnel and air interface,
Be underground cutoff boundary,
Be emitting electrode, wherein
Be the power supply positive electrode,
Be power cathode,
Be receiving electrode,
Be source point to the radius vector of frontier point,
Be the outer normal vector on border, the arrow indication device
Moving direction.
Embodiment
Below in conjunction with accompanying drawing, technical scheme of the present invention is described in further detail.
Surveying with symmetrical four utmost point sections in the tunnel, mountain region is example.
According to the step 1 in the technical scheme, set up model according to roadway shape and cutting depth, topographic relief elevation etc., as shown in Figure 2;
According to the step 2 in the technical scheme, get the minimum value of surveying district's formation resistivity
As the homogeneous half space resistivity that contains tunnel and band landform;
According to the step 3 in the technical scheme, with the transmitting electrode of symmetrical four utmost point devices
With
Be placed on the correspondence position in the model, as shown in Figure 2;
According to the step 4 in the technical scheme, the every movement of transmitting electrode is once carried out a three-dimensional numerical value simulation.If adopt field domain unit algorithms such as finite element, following boundary condition arranged:
Interface at the face of land and air
On
（7）
Interface at tunnel and air
On
Cutoff boundary at underground infinite space
On, the first kind, second class, third boundary condition can be set.Wherein third boundary condition is general form
In the top formula,
Be current potential,
Be show up a little distance of initial point,
Be that source point is to the radial vector on border
With outer normal vector
Between angle.If the tunnel is buried darker, the ground-air border can be moved down, become border in the ground, adopt the boundary condition of formula (9).Boundary condition formula (7) and (8) are accurate, and the boundary condition of underground boundary (9) is similar to.If possible, the coboundary extends to ground as far as possible, obtains the three-dimensional numerical value analog result of degree of precision.
After utilizing the three-dimensional numerical value simulation to obtain the potential response of ambient field, interpolation obtains receiving electrode again
With
Between potential difference (PD)
Chang potential difference (PD) as a setting;
According to formula (5) the calculation element coefficient of step 5 in the technical scheme, the peak of the liftoff shape of roadway
If,
, so
With formula (10) substitution formula (5), electrode coefficient is
According to the step 6 in the technical scheme, will survey potential difference (PD)
Deduct the potential difference (PD) of field as a setting
, obtain not having the potential difference (PD) of tunnel and the influence of topography
, utilize formula (6)
Obtain not having the restivity of tunnel and the influence of topography;
Described in technical scheme, with restivity
Add upper half-space resistivity
, the absolute apparent resistivity of be eliminated tunnel and the influence of topography.
Claims (4)
1. eliminate tunnel and landform to the method for direct current exploration apparent resistivity influence for one kind, it is characterized in that the additivity according to constant current field in the linear medium, the tunnel in the homogeneous half space and landform are separated from ground electricity structure, specifically may further comprise the steps:
Step 1 is set up model according to roadway shape and cutting depth, topographic relief elevation etc.;
Step 2 is with the minimum value of the exploration area formation resistivity resistivity as the homogeneous half space that contains tunnel and band landform;
Step 3 is with transmitting electrode
With
Type of device and cloth utmost point mode according to the direct current exploration is adopted are placed on the correspondence position in the model;
Step 4, the every movement of transmitting electrode are once carried out a three-dimensional numerical value simulation, obtain the potential response of ambient field, and interpolation obtains receiving electrode again
With
Between potential difference (PD)
Chang potential difference (PD) as a setting;
Step 5 is arranged in horizontal homogeneous half space current potential formula, derivation apparent resistivity formula: transmitting electrode in the ground from point electric current source
With
Form current return, any point in the ground is arranged
The current potential formula
In the formula
Be ground resistivity,
Be supply current,
With
It is respectively power supply
And virtual source
Arrive
Distance,
With
It is respectively power supply
And virtual source
Arrive
Distance, any point in the ground
Current potential be
Formula (1) and formula (2) subtract each other, and obtain receiving electrode
With
Between potential difference (PD)
Formula (3) is derived
As apparent resistivity, computing formula is as follows
In formula (4)
When being non-horizontal homogeneous half space for actual measurement potential difference (PD), the earth, the ground resistivity in the formula
Be apparent resistivity, following formula is the formula that calculates apparent resistivity, wherein
Be electrode coefficient;
Step 6 is with described actual measurement potential difference (PD)
Deduct the potential difference (PD) of field as a setting
, obtain not having the potential difference (PD) of tunnel and the influence of topography
, utilize following formula
Calculate restivity
For having eliminated the apparent resistivity of tunnel and the influence of topography.
2. an elimination as claimed in claim 1 tunnel and landform are to the method for direct current exploration apparent resistivity influence, it is characterized in that, described restivity is added the be eliminated absolute apparent resistivity of tunnel and the influence of topography of the above homogeneous half space resistivity.
3. an elimination as claimed in claim 1 tunnel and landform are to the method for direct current exploration apparent resistivity influence, it is characterized in that, the described step 5 apparent resistivity that current source current potential formula is derived from homogeneous half space can be applicable to subsurface investigation and ground location simultaneously.
4. an elimination as claimed in claim 1 tunnel and landform are to the method for direct current exploration apparent resistivity influence, it is characterized in that, described method can be applicable to underground and whole electrical resistivity survey ground, comprises section and depth measurement, forward probe, roof and floor and lateral wall detection etc.
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Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN105116453A (en) * | 2015-08-14 | 2015-12-02 | 中国石油天然气股份有限公司 | Transient electromagnetic exploration method and device for natural gas hydrate in permafrost zone |
| CN107272068A (en) * | 2017-06-09 | 2017-10-20 | 北京市地质调查研究院 | It is a kind of to utilize the method without anti-interference across the hole resistivity method Underground space of cable |
| CN108535783A (en) * | 2018-04-16 | 2018-09-14 | 中煤科工集团西安研究院有限公司 | A kind of method and device carrying out layer bit correction to resistivity section |
| CN109026021A (en) * | 2018-08-13 | 2018-12-18 | 中国电子科技集团公司第二十二研究所 | The focusing system and method for shield machine |
| CN110297016A (en) * | 2019-06-19 | 2019-10-01 | 安徽国科骄辉科技有限公司 | The calculation method and imaging device of the apparent resistivity of cylinder model |
| CN110703346A (en) * | 2019-11-14 | 2020-01-17 | 张道清 | Same-frequency and same-source ratio measurement method for natural electric field |
| CN111273355A (en) * | 2020-03-16 | 2020-06-12 | 中国科学技术大学 | Advanced detection method and advanced detection system for roadway |
| CN113885086A (en) * | 2021-08-05 | 2022-01-04 | 中煤科工集团西安研究院有限公司 | Underground direct-current equatorial dipole dynamic source abnormity self-display type advanced detection method |
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Cited By (11)
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|---|---|---|---|---|
| CN105116453A (en) * | 2015-08-14 | 2015-12-02 | 中国石油天然气股份有限公司 | Transient electromagnetic exploration method and device for natural gas hydrate in permafrost zone |
| CN107272068A (en) * | 2017-06-09 | 2017-10-20 | 北京市地质调查研究院 | It is a kind of to utilize the method without anti-interference across the hole resistivity method Underground space of cable |
| CN108535783A (en) * | 2018-04-16 | 2018-09-14 | 中煤科工集团西安研究院有限公司 | A kind of method and device carrying out layer bit correction to resistivity section |
| CN108535783B (en) * | 2018-04-16 | 2019-07-05 | 中煤科工集团西安研究院有限公司 | A kind of pair of resistivity section carries out the method and device of layer bit correction |
| CN109026021A (en) * | 2018-08-13 | 2018-12-18 | 中国电子科技集团公司第二十二研究所 | The focusing system and method for shield machine |
| CN109026021B (en) * | 2018-08-13 | 2024-02-27 | 中国电子科技集团公司第二十二研究所 | Focusing system and method of shield tunneling machine |
| CN110297016A (en) * | 2019-06-19 | 2019-10-01 | 安徽国科骄辉科技有限公司 | The calculation method and imaging device of the apparent resistivity of cylinder model |
| CN110703346A (en) * | 2019-11-14 | 2020-01-17 | 张道清 | Same-frequency and same-source ratio measurement method for natural electric field |
| CN110703346B (en) * | 2019-11-14 | 2021-06-11 | 张道清 | Same-frequency and same-source ratio measurement method for natural electric field |
| CN111273355A (en) * | 2020-03-16 | 2020-06-12 | 中国科学技术大学 | Advanced detection method and advanced detection system for roadway |
| CN113885086A (en) * | 2021-08-05 | 2022-01-04 | 中煤科工集团西安研究院有限公司 | Underground direct-current equatorial dipole dynamic source abnormity self-display type advanced detection method |
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Inventor after: Yan Shu Inventor after: Wu Qiao Inventor after: Zheng Ji Inventor after: Xue Guoqiang Inventor after: Qiu Weizhong Inventor after: Di Qingyun Inventor after: Li Gang Inventor before: Yan Shu Inventor before: Wu Qiao Inventor before: Zheng Ji |
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