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CN104502987A - Refined processing method for measurement data of geophysical prospecting instantaneous change electromagnetic system - Google Patents

Refined processing method for measurement data of geophysical prospecting instantaneous change electromagnetic system Download PDF

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CN104502987A
CN104502987A CN201410749348.0A CN201410749348A CN104502987A CN 104502987 A CN104502987 A CN 104502987A CN 201410749348 A CN201410749348 A CN 201410749348A CN 104502987 A CN104502987 A CN 104502987A
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msub
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蔡运胜
李孝红
杨学明
李小永
张进国
胡建勇
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TIANJIN HUAKAN GEOLOGICAL EXPLORATION Co Ltd
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TIANJIN HUAKAN GEOLOGICAL EXPLORATION Co Ltd
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Abstract

The invention discloses a refined processing method for measurement data of a geophysical prospecting instantaneous change electromagnetic system. The method comprises the following steps: collecting a series of inducted secondary field values V(ti) of different delay time ti; obtaining the prospecting depth Hi, and the electrical resistivity rhoi, the time constant taui and the conductivity Si corresponding to the Hi as show in the specification, wherein i is a positive integer; the corresponding relationship between the meaning of each parameter and the unit is as follows: M is magnetic moment of a transmission wire frame; M=I/a/b; I is transmission current; a and b are edge lengths of the transmission wire frame; M is ampere/m<2>; I is ampere; a is m; b is m; q is dipole moment of a receiving coil; q=N/SR; N is turns per coil; SR is the area of the receiving coil; q is m<2>; N is unitless; SR is m<2>, mu0 is magnetic conductivity in vacuum; mu0=4phi*10<-7> henry/m; rho is ohm/m; tau is second; S is siemens; H is m. The refined processing method for the measurement data of the geophysical prospecting instantaneous change electromagnetic system disclosed by the invention is accurate in result and wide in application range.

Description

Fine processing method for measurement data of geophysical prospecting transient electromagnetic system
Technical Field
The invention relates to the technical field of geological exploration, in particular to a method for finely processing measured data of a geophysical prospecting transient electromagnetic system.
Background
With the rapid development of economic society, the demand of mineral resources is sharply increased, the reserve of the reserved resources of a plurality of metal minerals is rapidly attenuated or exhausted, the contradiction of sustainable development is increasingly highlighted, and thus, effective ways and methods for resolving the contradiction fall on the major breakthrough of geological prospecting. At the present stage, the ore searching situation is more and more severe, the ore at the outcrop surface and the ore bodies buried in the shallow part are gradually rare, the geological ore searching in the middle and deep part is necessary, but the difficulty of ore searching in the middle and deep part is multiplied.
The geophysical prospecting method for prospecting minerals in middle and deep geology is indispensable and has more and more important functions. Geophysical prospecting transient electromagnetic prospecting is one of the more available and effective methods at present, and analysis, research, processing and explanation of the prospecting data, namely the data inversion processing technology (solving the shape, scale, burial depth, attitude and the like of an ore body) is a difficult problem which is continuously researched and deeply explored by a plurality of geophysical prospecting workers for many years.
The current data processing method of the transient electromagnetic system has many problems, such as: the data processing process is complicated, only one component is processed at a time, the information is incomplete, and few or no parameters directly reflecting the conductivity of the underground geologic body are available, so that the investigation effect of the transient electromagnetic system is seriously influenced. Therefore, a refinement technique for geophysical prospecting data is needed to directly reflect the electrical parameters of geologic body characteristics, quantitatively determine the buried depth, morphology and attitude characteristics of an ore body, and practically improve the geological prospecting effect.
Disclosure of Invention
The invention aims to solve the technical problem of providing a method for processing the measurement data of the geophysical prospecting transient electromagnetic system, which has accurate and reliable results and wide application range.
Therefore, the technical scheme of the invention is as follows:
a refinement processing method for measurement data of a geophysical prospecting transient electromagnetic system collects a series of different delay times tiInduced secondary field value V (t)i) To obtain a depth of investigation HiAnd with HiCorresponding resistivityρiTime constant τiConductivity SiThe following were used:
<math><mrow> <msub> <mi>&rho;</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <mrow> <mn>4</mn> <mi>&pi;</mi> <msub> <mi>t</mi> <mi>i</mi> </msub> </mrow> </mfrac> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <mi>Mq</mi> </mrow> <mrow> <mn>5</mn> <msub> <mi>t</mi> <mi>i</mi> </msub> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mn>2</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow></math>
<math><mrow> <msub> <mi>&tau;</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>ln</mi> <mrow> <mo>(</mo> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>/</mo> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>)</mo> </mrow> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow></math>
<math><mrow> <msub> <mi>S</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mn>16</mn> <msup> <mi>&pi;</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow> <mrow> <msup> <mrow> <mo>(</mo> <mn>3</mn> <mi>Mq</mi> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <msubsup> <mi>&mu;</mi> <mn>0</mn> <mrow> <mn>4</mn> <mo>/</mo> <mn>3</mn> </mrow> </msubsup> </mrow> </mfrac> <mo>&CenterDot;</mo> <mi>V</mi> <msup> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <mo>&CenterDot;</mo> <msup> <msub> <mi>&tau;</mi> <mi>i</mi> </msub> <mrow> <mn>4</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow></math>
<math><mrow> <msub> <mi>H</mi> <mi>i</mi> </msub> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>3</mn> <mi>Mq</mi> </mrow> <mrow> <mn>16</mn> <mi>&pi;V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>S</mi> <mi>i</mi> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>4</mn> </mrow> </msup> <mo>-</mo> <mfrac> <msub> <mi>t</mi> <mi>i</mi> </msub> <mrow> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <msub> <mi>S</mi> <mi>i</mi> </msub> </mrow> </mfrac> </mrow></math>
wherein I is a positive integer, the meaning of each parameter and the corresponding relation between the meaning and the unit are that M is the magnetic moment of the transmission wire frame, M is I.a.b, I is the transmission current, a and b are the side length of the transmission wire frame, and M-ampere.m2I-ampere, a-meter, b-meter, q is receiving coil dipole moment, q is N · SRN is the number of turns of the coil, SRIs the area of the receiving coil, q-meter2N-unitless, SR-rice2,μ0Is magnetic permeability, mu, in vacuum0=4π×10-7Henry/meter, rho-ohm meter, tau-second, S-Siemens, H-meter.
The invention provides a new technical thought and means, a field measuring instrument carries out data acquisition according to a large constant source loop device of a time domain transient electromagnetic system, and carries out inversion processing and graph compiling and drawing on the acquired data indoors by using a refined calculation formula, so that a conclusion according with objective geological actual conditions can be obtained, the factors such as the form, the scale, the burial depth, the shape and the like of an ore body are accurately determined, and the effect of prospecting and finding the ore is effectively improved.
Detailed Description
It should be noted that the embodiments and features of the embodiments of the present application may be combined with each other without conflict.
According to the method for finely processing the measurement data of the geophysical prospecting transient electromagnetic system, provided by the embodiment of the invention, a series of different delay times t are collectediInduced secondary field value V (t)i) To obtain a depth of investigation HiAnd with HiCorresponding resistivity ρiTime constant τiConductivity SiThe following were used:
<math><mrow> <msub> <mi>&rho;</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <mrow> <mn>4</mn> <mi>&pi;</mi> <msub> <mi>t</mi> <mi>i</mi> </msub> </mrow> </mfrac> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <mi>Mq</mi> </mrow> <mrow> <mn>5</mn> <msub> <mi>t</mi> <mi>i</mi> </msub> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mn>2</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow></math>
<math><mrow> <msub> <mi>&tau;</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>ln</mi> <mrow> <mo>(</mo> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>/</mo> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>)</mo> </mrow> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow></math>
<math><mrow> <msub> <mi>S</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mn>16</mn> <msup> <mi>&pi;</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow> <mrow> <msup> <mrow> <mo>(</mo> <mn>3</mn> <mi>Mq</mi> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <msubsup> <mi>&mu;</mi> <mn>0</mn> <mrow> <mn>4</mn> <mo>/</mo> <mn>3</mn> </mrow> </msubsup> </mrow> </mfrac> <mo>&CenterDot;</mo> <mi>V</mi> <msup> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <mo>&CenterDot;</mo> <msup> <msub> <mi>&tau;</mi> <mi>i</mi> </msub> <mrow> <mn>4</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow></math>
<math><mrow> <msub> <mi>H</mi> <mi>i</mi> </msub> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>3</mn> <mi>Mq</mi> </mrow> <mrow> <mn>16</mn> <mi>&pi;V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>S</mi> <mi>i</mi> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>4</mn> </mrow> </msup> <mo>-</mo> <mfrac> <msub> <mi>t</mi> <mi>i</mi> </msub> <mrow> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <msub> <mi>S</mi> <mi>i</mi> </msub> </mrow> </mfrac> </mrow></math>
wherein I is a positive integer, the meaning of each parameter and the corresponding relation between the meaning and the unit are that M is the magnetic moment of the transmission wire frame, M is I.a.b, I is the transmission current, a and b are the side length of the transmission wire frame, and M-ampere.m2I-ampere, a-meter, b-meter, q is receiving coil dipole moment, q is N · SRN is the number of turns of the coil, SRIs the area of the receiving coil, q-meter2N-unitless, SR-rice2,μ0Is magnetic permeability, mu, in vacuum0=4π×10-7Henry/meter, rho-ohm meter, tau-second, S-Siemens, H-meter.
The method for refining the measurement data of the geophysical prospecting transient electromagnetic system comprises two parts, namely field transient electromagnetic system measurement and indoor refined inversion processing. The field transient electromagnetic system measurement comprises a generator, a transmitter, a transmitting loop, a receiver, an induction probe and the like which are hardware parts, wherein the generator is used for measuring a power supply in the working process; the transmitter is used for inputting transient current to the transmission loop to generate a primary magnetic field excitation signal; the receiver is connected with the induction probe and used for collecting secondary field response signals generated by the underground geologic body to obtain measurement data. The refined inversion processing part comprises a data input module, a data processing module and a data storage and display module, wherein the data input module completes data synthesis according to the measuring device and inputs data in a corresponding format; the data processing module completes the refined inversion processing calculation of the multi-parameter data; and the data storage and display module is used for storing data and displaying a processing result and a graph.
According to the invention, a new technical thought is provided, a field measuring instrument carries out data acquisition according to a large constant source loop device of a time domain transient electromagnetic system, and carries out inversion processing and graph compiling on the acquired data indoors by using a refined calculation formula, so that a visual conclusion which accords with the actual situation of objective geology can be obtained, the factors such as the form, the scale, the burial depth, the shape and the like of an ore body are accurately determined, and the effect of prospecting and finding the ore in geological exploration is effectively improved.
The geophysical prospecting transient electromagnetic system measurement data refining inversion processing technology adopted by the invention comprises the following steps:
firstly, according to the field geological condition and the working design requirement, a large fixed source loop device of a time domain transient electromagnetic system is arranged, and a series of different delay times t are collected under the condition of setting a transmitting wire frame magnetic moment M and a receiving coil effective dipole moment qiInduced secondary field value V (t)i). Wherein,Vx(ti)、Vy(ti)、Vz(ti) Is X and Y on the same measuring point,Y, Z measured in three directions.
Secondly, formula derivation is carried out on the basis of the theory research of the para-field, and multivariate physical quantities which can visually reflect the electrical characteristics and the depth of the underground geologic body are obtained, such as: resistivity, time constant, conductivity, depth of investigation.
And thirdly, adopting a calculation formula deduced in the second step to provide a refined processing technical idea, constructing a mathematical model and compiling inversion software to process field measurement data. Acquiring a series of different delay times tiInduced secondary field value V (t)i) To obtain a depth of investigation HiAnd with HiCorresponding resistivity ρiTime constant τiConductivity SiThe following were used:
<math><mrow> <msub> <mi>&rho;</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <mrow> <mn>4</mn> <mi>&pi;</mi> <msub> <mi>t</mi> <mi>i</mi> </msub> </mrow> </mfrac> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <mi>Mq</mi> </mrow> <mrow> <mn>5</mn> <msub> <mi>t</mi> <mi>i</mi> </msub> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mn>2</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow></math>
<math><mrow> <msub> <mi>&tau;</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>ln</mi> <mrow> <mo>(</mo> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>/</mo> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>)</mo> </mrow> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow></math>
<math><mrow> <msub> <mi>S</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mn>16</mn> <msup> <mi>&pi;</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow> <mrow> <msup> <mrow> <mo>(</mo> <mn>3</mn> <mi>Mq</mi> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <msubsup> <mi>&mu;</mi> <mn>0</mn> <mrow> <mn>4</mn> <mo>/</mo> <mn>3</mn> </mrow> </msubsup> </mrow> </mfrac> <mo>&CenterDot;</mo> <mi>V</mi> <msup> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <mo>&CenterDot;</mo> <msup> <msub> <mi>&tau;</mi> <mi>i</mi> </msub> <mrow> <mn>4</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow></math>
<math><mrow> <msub> <mi>H</mi> <mi>i</mi> </msub> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>3</mn> <mi>Mq</mi> </mrow> <mrow> <mn>16</mn> <mi>&pi;V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>S</mi> <mi>i</mi> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>4</mn> </mrow> </msup> <mo>-</mo> <mfrac> <msub> <mi>t</mi> <mi>i</mi> </msub> <mrow> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <msub> <mi>S</mi> <mi>i</mi> </msub> </mrow> </mfrac> </mrow></math>
wherein I is a positive integer, the meaning of each parameter and the corresponding relation between the meaning and the unit are that M is the magnetic moment of the transmission wire frame, M is I.a.b, I is the transmission current, a and b are the side length of the transmission wire frame, and M-ampere.m2I-ampere, a-meter, b-meter, q is receiving coil dipole moment, q is N · SRN is the number of turns of the coil, SRIs the area of the receiving coil, q-meter2N-unitless, SR-rice2,μ0Is magnetic permeability, mu, in vacuum0=4π×10-7Henry/meter, rho-ohm meter, tau-second, S-Siemens, H-meter.
Namely, a group of resistivity, time constant, conductivity and detection depth value can be obtained by selecting an induction secondary field value with a delay time. It is obvious that i can take a series of positive integers corresponding to different delay times, which is common knowledge of those skilled in the art and will not be described again.
And fourthly, repeating the step III in sequence, finely processing a series of induction secondary field values with different delay times acquired from various field measuring points to finish an inversion process, namely achieving the purposes of effectively processing and correctly interpreting data, and drawing a depth-resistivity section diagram, a depth-time constant section diagram and a depth-conductivity section diagram on a measured section of the transient electromagnetic system by using the processed data. On the depth-resistivity, depth-time constant and depth-conductivity section diagram, each electrical parameter can effectively reflect the characteristics of the geologic body such as distribution, burial depth, form and occurrence, etc., and is very consistent with the real geologic condition, and the geologic prospecting effect is very outstanding.
The refined calculation processing method is a technology for deducing an inverse mathematical model through a mathematical formula and compiling software for method application on the basis of the theoretical analysis and research on the geophysical transient electromagnetic field. The software consists of a data input module, a processing module and a storage and display module. In order to meet the requirements of various field instruments and equipment, software is improved and perfected for many times, a series of transient electromagnetic system measurement data such as PROTEM, PEM, TerraTEM, V8, GDP-32 and the like can be processed, and the method is very suitable for field production exploration.
In summary, the present invention is not limited to the above-mentioned embodiments, and those skilled in the art can propose other embodiments within the technical teaching of the present invention, but such embodiments are included in the scope of the present invention.

Claims (1)

1. A fine processing method for measurement data of a geophysical prospecting transient electromagnetic system is characterized in that a series of different delay times t are collectediInduced secondary field value V (t)i) To obtain a depth of investigation HiAnd with HiCorresponding resistivity ρiTime constant τiConductivity SiThe following were used:
<math> <mrow> <msub> <mi>&rho;</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <mrow> <mn>4</mn> <msub> <mi>&pi;t</mi> <mi>i</mi> </msub> </mrow> </mfrac> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <msub> <mrow> <mn>2</mn> <mi>&mu;</mi> </mrow> <mn>0</mn> </msub> <mi>Mq</mi> </mrow> <mrow> <msub> <mrow> <mn>5</mn> <mi>t</mi> </mrow> <mi>i</mi> </msub> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mn>2</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow> </math>
<math> <mrow> <msub> <mi>&tau;</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> </mrow> <mrow> <mi>ln</mi> <mrow> <mo>(</mo> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>/</mo> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>)</mo> </mrow> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow> </math>
<math> <mrow> <msub> <mi>S</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <msup> <mrow> <mn>16</mn> <mi>&pi;</mi> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <mrow> <msup> <mrow> <mo>(</mo> <mn>3</mn> <mi>Mq</mi> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <msubsup> <mi>&mu;</mi> <mn>0</mn> <mrow> <mn>4</mn> <mo>/</mo> <mn>3</mn> </mrow> </msubsup> </mrow> </mfrac> <mo>&CenterDot;</mo> <msup> <mrow> <mi>V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> <mo></mo> <msup> <msub> <mrow> <mo>&CenterDot;</mo> <mi>&tau;</mi> </mrow> <mi>i</mi> </msub> <mrow> <mn>4</mn> <mo>/</mo> <mn>3</mn> </mrow> </msup> </mrow> </math>
<math> <mrow> <msub> <mi>H</mi> <mi>i</mi> </msub> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>3</mn> <mi>Mq</mi> </mrow> <mrow> <mn>16</mn> <mi>&pi;V</mi> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>S</mi> <mi>i</mi> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>4</mn> </mrow> </msup> <mo>-</mo> <mfrac> <msub> <mi>t</mi> <mi>i</mi> </msub> <mrow> <msub> <mi>&mu;</mi> <mn>0</mn> </msub> <msub> <mi>S</mi> <mi>i</mi> </msub> </mrow> </mfrac> </mrow> </math>
wherein I is a positive integer, the meaning of each parameter and the corresponding relation between the meaning and the unit are that M is the magnetic moment of the transmission wire frame, M is I.a.b, I is the transmission current, a and b are the side length of the transmission wire frame, and M-ampere.m2I-ampere, a-meter, b-meter, q is receiving coil dipole moment, q is N · SRN is the number of turns of the coil, SRIs the area of the receiving coil, q-meter2N-unitless, SR-rice2,μ0Is magnetic permeability, mu, in vacuum0=4π×10-7Henry/meter, rho-ohm meter, tau-second, S-Siemens, H-meter.
CN201410749348.0A 2014-12-09 2014-12-09 Refined processing method for measurement data of geophysical prospecting instantaneous change electromagnetic system Pending CN104502987A (en)

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