CN113504571A - Polarization equivalent ring device of multiphase conductive medium and design method - Google Patents

Polarization equivalent ring device of multiphase conductive medium and design method Download PDF

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CN113504571A
CN113504571A CN202110835063.9A CN202110835063A CN113504571A CN 113504571 A CN113504571 A CN 113504571A CN 202110835063 A CN202110835063 A CN 202110835063A CN 113504571 A CN113504571 A CN 113504571A
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polarization
conductive medium
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multiphase
induction
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CN113504571B (en
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嵇艳鞠
邱仕林
马彬原
吴琼
于一兵
孟祥东
林君
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Jilin University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V3/00Electric or magnetic prospecting or detecting; Measuring magnetic field characteristics of the earth, e.g. declination, deviation
    • G01V3/08Electric or magnetic prospecting or detecting; Measuring magnetic field characteristics of the earth, e.g. declination, deviation operating with magnetic or electric fields produced or modified by objects or geological structures or by detecting devices
    • G01V3/10Electric or magnetic prospecting or detecting; Measuring magnetic field characteristics of the earth, e.g. declination, deviation operating with magnetic or electric fields produced or modified by objects or geological structures or by detecting devices using induction coils
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V3/00Electric or magnetic prospecting or detecting; Measuring magnetic field characteristics of the earth, e.g. declination, deviation
    • G01V3/38Processing data, e.g. for analysis, for interpretation, for correction

Abstract

The invention relates to a polarization equivalent ring device of a multiphase conductive medium and a design method thereof, wherein the polarization equivalent ring device is formed by connecting an RC circuit and a coil in parallel, wherein the RC circuit comprises 1 induction branch and a plurality of polarization branches. The number of the polarization branches is equal to the number of the conductive media. The induction branch comprises 1 induction resistor, and each polarization branch comprises 1 polarization resistor and 1 polarization capacitor. And calculating the conductivity of the surrounding rock of the medium to be equivalent and the conductivity, the polarizability and the time constant of each phase medium based on the GEMTIP model. Determining the resistance value of the induction resistor according to the conductivity of the surrounding rock; and calculating the resistance capacitance value of the corresponding polarization branch according to the conductivity, the polarizability and the time constant of each phase medium. The coil is wound by adopting a thin conducting wire. The invention aims to simulate the induction-polarization characteristics of a multiphase conductive medium through a polarization equivalent ring device and reflect the law of induction-polarization effect of an underground medium under magnetic field excitation.

Description

Polarization equivalent ring device of multiphase conductive medium and design method
Technical Field
The invention relates to the field of geophysical exploration, in particular to a polarization equivalent ring device of a multiphase conductive medium and a design method.
Background
In the field of geophysical exploration, the detection of deep metal ores is a major future development trend. When the electromagnetic detection method is adopted, an external alternating electromagnetic field causes induction effect and polarization effect in the underground polymetallic ore body. Wherein the polymetallic ore is more sensitive to polarization effects than resistivity information.
CN102096113A discloses a time domain ground-air electromagnetic detection system and a calibration method, which adopts a closed abnormal loop induction signal recording device to realize the test and calibration of the detection system. However, the abnormal ring structure adopted by the method is simple and is equivalent to a series connection of a resistor and an inductor, and only induction current and induction voltage can be recorded and the induction effect can be simulated. And the actual valuable target bodies (such as metal ores and the like) are sensitive to the polarization effect, the requirement for geophysical exploration cannot be met by simply researching the induction effect, and the complex characteristic of a multiphase polarization medium is ignored.
CN112666618A discloses a geometric-physical multi-feature parameter extraction method for a multiphase medium, which is used for extracting polarization parameters according to a quantum particle swarm optimization algorithm based on a generalized equivalent polarization (GEMTIP) model of an underground multiphase medium. The method applies the generalized equivalent polarization model to the inversion of the polarization effect, but due to factors such as instrument equipment and environmental interference, the numerical simulation result in actual work is difficult to correspond to the measured data one by one.
At present, researches aiming at the induction effect and the polarization effect mainly comprise forward and backward numerical calculation and field engineering detection, and how to establish a relationship between the forward and backward numerical calculation and the field engineering detection is urgent to solve. Therefore, a new device and a new method are needed to be provided to realize the simulation of the induction-polarization characteristics of the multiphase conductive medium, so as to reflect the law of the induction-polarization effect of the underground medium under the excitation of the magnetic field, and combine the numerical simulation and the experimental verification.
Disclosure of Invention
The present invention is directed to overcoming the above-mentioned disadvantages and problems of the prior art, and providing a polarization equivalent loop device and design method for a multi-phase conductive medium.
The present invention is achieved in such a way that,
a polarized equivalent loop device of a multiphase conductive medium, the device comprising:
a polarization equivalent ring device of a multi-phase conductive medium is formed by connecting an RC circuit and a coil in parallel, wherein the RC circuit comprises 1 induction branch and a plurality of polarization branches, the induction branch is connected with the polarization branches in parallel, the plurality of polarization branches are connected in parallel, and the number of the polarization branches is equal to that of the conductive medium and corresponds to that of the conductive medium one by one; the induction branch comprises 1 resistor, each polarization branch is formed by connecting 1 resistor and 1 capacitor in series, the resistor and the capacitor of the RC circuit adopt a precision resistor and a precision capacitor, the coil is wound by a thin wire, and the resistance value of the coil is at least 10 times smaller than that of the induction branch; the coil is used for receiving the excitation of an external time-varying magnetic field and generating induced electromotive force, and current is generated in the induction branch and the polarization branch, wherein the resistance value of the coil can be ignored; when the polarization equivalent ring device is applied with a time-varying electromagnetic field, the current of the induction branch reflects the induction characteristic of the multiphase conductive medium, the current of each polarization branch reflects the polarization characteristic of the corresponding conductive medium, and the sum of the currents of all the polarization branches reflects the polarization characteristic of the multiphase conductive medium.
A method of designing a poled equivalent ring device for a multiphase conductive medium, the method comprising:
1) consulting geological data, determining the number and size of phases of the multiphase conductive medium to be equivalent, and calculating the conductivity sigma of the surrounding rock based on a generalized equivalent polarization model (GEMTIP) of the multiphase conductive medium0And the conductivity σ of each phase of the conductive mediumlPolarizability etalAnd time constant τl
2) Neglecting the resistance value of the coil, and calculating the inductance L of the coil based on the size of the multiphase conductive medium;
3) the number of polarization branches of the polarization equivalent ring device is equal to the number of phases of the multiphase conductive medium, and the polarization equivalent ring device is used for controlling the polarization equivalent ring device to be equal to the number of phases of the multiphase conductive medium according to the conductivity sigma of the surrounding rock0Calculating resistance R of induction branch of polarization equivalent ring device0According to the conductivity σ of each phase of the conductive mediumlPolarizability etalAnd time constant τlAnd calculating the resistance R in the corresponding polarization branchlAnd a capacitor Cl
4) Connecting an RC circuit formed by connecting an induction branch and a polarization branch in parallel with a coil in parallel to form a calibrated polarization equivalent ring, and calculating an admittance G of the polarization equivalent ring and the integral polarizability eta of the multi-phase conductive medium;
5) and applying a time-varying electromagnetic field to the polarization equivalent ring device, and analyzing the induced polarization characteristic of the multiphase conductive medium to be equivalent by acquiring the current of each branch of the RC circuit.
Further, the conductivity sigma of the surrounding rock in the step 1)0And the conductivity σ of each phase of the conductive mediumlPolarizability etalAnd time constant τlCalculated by the following formula:
Figure BDA0003176637140000021
Figure BDA0003176637140000031
wherein, the total N-phase conductive medium is rho according to GEMTIP model0The direct current conductivity of the medium to be equivalent; the parameters of each phase of conductive medium respectively comprise: rholIs the resistivity tensor of the l-th phase of the conductive medium, flIs the volume fraction, alpha, of the conductive medium of the l-th phaselIs the surface polarization coefficient of the l-phase conductive medium, alIs the radius of the l-th phase conductive medium.
Further, the size of the multiphase conductive medium in step 2) is related to the coil inductance L as follows:
Figure BDA0003176637140000032
wherein, the multiphase conductive medium is in the shape of a square thin plate, D is the side length of the multiphase conductive medium, r is the thickness of the multiphase conductive medium, and mu0Is a vacuum magnetic permeability.
Further, the resistance R of the sensing branch in the step 3)0And a resistance R in each polarization branchlAnd a capacitor ClThe calculation method of (2) is as follows:
Figure BDA0003176637140000033
wherein beta is a geometric parameter of the earth, and the numerical value is usually 1-10; if the number of polarization branches is N, then RlIs the resistance of the first polarized branch, ClThe capacitance of the l polarized branch.
Further, the admittance G of the polarization equivalent ring and the overall polarizability η of the subsurface medium in step 4) are respectively calculated by:
Figure BDA0003176637140000034
Figure BDA0003176637140000035
wherein i is an imaginary number, ω is an angular frequency, R0Is a resistance of the sensing branch, ClThe capacitance of the l polarized branch.
Compared with the prior art, the invention has the beneficial effects that:
the invention provides an equivalent circuit model of a multiphase conductive medium, which analyzes the induction characteristic and the polarization characteristic of the multiphase conductive medium in a circuit form, receives the excitation of an external magnetic field through a coil, verifies and simulates the law of induction-polarization effect of the underground medium under the excitation of the magnetic field, and combines numerical simulation and experimental verification.
Drawings
FIG. 1 is a flow diagram of a design of a polarized equivalent loop arrangement of a multiphase conductive medium;
fig. 2 is a block diagram of a polarized equivalent loop arrangement of a multi-phase conductive medium.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail with reference to the following embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
The invention designs a polarization equivalent ring device according to a generalized equivalent polarization (GEMTIP) model based on a multiphase conductive medium, establishes an equivalent relation between physical parameters of the medium to be equivalent and resistance capacitance in the polarization equivalent ring device, calculates admittance of the polarization equivalent ring device and integral polarization rate of the multiphase conductive medium, analyzes induction-polarization characteristics of the multiphase conductive medium through current of each branch circuit excited by an external time-varying electromagnetic field of an acquisition device, compares the induction-polarization characteristics with a forward result of the multiphase conductive medium, and verifies the accuracy of the device, wherein a flow chart is shown in figure 1.
The invention is realized by a polarized equivalent ring device of a multiphase conductive medium, as shown in fig. 2, the device comprises:
the circuit is formed by connecting an RC circuit and a coil in parallel, wherein the RC circuit comprises 1 induction branch and a plurality of polarization branches, and the number of the polarization branches is equal to the number of phases of a conductive medium and corresponds to the number of the conductive medium one by one; the induction branch comprises 1 induction resistor, each polarization branch is formed by connecting 1 polarization resistor and 1 polarization capacitor in series, the resistor and the capacitor of the RC circuit adopt a precision resistor and a precision capacitor, the coil is wound by a thin wire, the resistance value of the coil is at least 10 times smaller than that of the induction branch, and the resistance of the coil can be ignored; the coil is used for receiving the excitation of an external time-varying magnetic field and generating induced electromotive force, and current is generated in the induction branch and the polarization branch, wherein the resistance value of the coil can be ignored; when the polarization equivalent ring device is applied with a time-varying electromagnetic field, the current of the induction branch reflects the induction characteristic of the multiphase conductive medium, the current of each polarization branch reflects the polarization characteristic of the corresponding conductive medium, and the sum of the currents of all the polarization branches reflects the polarization characteristic of the multiphase conductive medium.
A method of designing a poled equivalent ring device for a multiphase conductive medium, the method comprising:
1) consulting geological data, determining the number and size of phases of the multiphase conductive medium to be equivalent, and calculating the conductivity sigma of the surrounding rock based on a generalized equivalent polarization (GEMTIP) model of the multiphase conductive medium0And the conductivity σ of each phase of the conductive mediumlPolarizability etalAnd time constant τlThe formula is as follows:
Figure BDA0003176637140000051
Figure BDA0003176637140000052
wherein, the total N-phase conductive medium is rho according to GEMTIP model0The direct current conductivity of the medium to be equivalent; the parameters of each phase of conductive medium respectively comprise: rholIs the resistivity tensor of the l-th phase of the conductive medium, flIs the volume fraction, alpha, of the conductive medium of the l-th phaselIs the surface polarization coefficient of the l-phase conductive medium, alIs the radius of the l-th phase conductive medium.
2) Neglecting the resistance value of the coil, setting the multiphase conductive medium to be in the shape of a square thin plate, D to be the side length of the multiphase conductive medium, r to be the thickness of the multiphase conductive medium, mu0For the vacuum permeability, the coil inductance L is calculated based on the dimensions of the multiphase conductive medium:
Figure BDA0003176637140000053
3) the number of polarization branches of the polarization equivalent ring device is equal to the number of phases of the multiphase conductive medium, and the polarization equivalent ring device is used for controlling the polarization equivalent ring device to be equal to the number of phases of the multiphase conductive medium according to the conductivity sigma of the surrounding rock0Calculating resistance R of induction branch of polarization equivalent ring device0According toConductivity σ of each phase of conductive mediumlPolarizability etalAnd time constant τlAnd calculating the resistance R in the corresponding polarization branchlAnd a capacitor ClThe calculation method is as follows:
Figure BDA0003176637140000054
wherein beta is a geometric parameter of the earth, and the numerical value is usually 1-10; if the number of polarization branches is N, then RlIs the resistance of the first polarized branch, ClThe capacitance of the l polarized branch.
4) Connecting an RC circuit formed by connecting an induction branch and a polarization branch in parallel with a coil in parallel, namely a calibrated polarization equivalent ring, and calculating an admittance G of the polarization equivalent ring and the integral polarizability eta of the multi-phase conductive medium:
Figure BDA0003176637140000061
Figure BDA0003176637140000062
where i is an imaginary number and ω is an angular frequency.
5) And applying a time-varying electromagnetic field to the polarization equivalent ring device, and analyzing the induced polarization characteristic of the multiphase conductive medium to be equivalent by acquiring the current of each branch of the RC circuit.

Claims (6)

1. A polarization equivalent ring device of a multi-phase conductive medium is characterized in that the device is formed by connecting an RC circuit and a coil in parallel, wherein the RC circuit comprises 1 induction branch and a plurality of polarization branches, the induction branch is connected with the polarization branches in parallel, the plurality of polarization branches are connected in parallel, and the number of the polarization branches is equal to that of the conductive medium and corresponds to that of the conductive medium one by one; the induction branch comprises 1 resistor, each polarization branch is formed by connecting 1 resistor and 1 capacitor in series, the coil is wound by a thin wire, and the resistance value of the coil is at least 10 times smaller than that of the induction branch; the coil is used for receiving the excitation of an external time-varying magnetic field and generating induced electromotive force, and current is generated in the induction branch and the polarization branch.
2. A method of designing a polar equivalent ring arrangement of a multiphase conductive medium in accordance with claim 1, the method comprising:
1) consulting geological data, determining the number and size of phases of the multiphase conductive medium to be equivalent, and calculating the conductivity sigma of the surrounding rock based on the generalized equivalent polarization model of the multiphase conductive medium0And the conductivity σ of each phase of the conductive mediumlPolarizability etalAnd time constant τl
2) Neglecting the resistance value of the coil, and calculating the inductance L of the coil based on the size of the multiphase conductive medium;
3) the number of polarization branches of the polarization equivalent ring device is equal to the number of phases of the multiphase conductive medium, and the polarization equivalent ring device is used for controlling the polarization equivalent ring device to be equal to the number of phases of the multiphase conductive medium according to the conductivity sigma of the surrounding rock0Calculating resistance R of induction branch of polarization equivalent ring device0According to the conductivity σ of each phase of the conductive mediumlPolarizability etalAnd time constant τlAnd calculating the resistance R in the corresponding polarization branchlAnd a capacitor Cl
4) Connecting an RC circuit formed by connecting an induction branch and a polarization branch in parallel with a coil in parallel to form a calibrated polarization equivalent ring, and calculating an admittance G of the polarization equivalent ring and the integral polarizability eta of the multi-phase conductive medium;
5) and applying a time-varying electromagnetic field to the polarization equivalent ring device, and analyzing the induced polarization characteristic of the multiphase conductive medium to be equivalent by acquiring the current of each branch of the RC circuit.
3. The method according to claim 2, wherein the conductivity σ of the surrounding rock in step 1) is0And the conductivity σ of each phase of the conductive mediumlPolarizability etalAnd time constant τlCalculated by the following formula:
Figure FDA0003176637130000011
Figure FDA0003176637130000012
wherein, the total N-phase conductive medium is rho according to GEMTIP model0The direct current conductivity of the medium to be equivalent; the parameters of each phase of conductive medium respectively comprise: rholIs the resistivity tensor of the l-th phase of the conductive medium, flIs the volume fraction, alpha, of the conductive medium of the l-th phaselIs the surface polarization coefficient of the l-phase conductive medium, alIs the radius of the l-th phase conductive medium.
4. Method according to claim 2, characterized in that the dimensions of the multiphase conductive medium in step 2) are related to the coil inductance L as follows:
Figure FDA0003176637130000021
wherein, the multiphase conductive medium is in the shape of a square thin plate, D is the side length of the multiphase conductive medium, r is the thickness of the multiphase conductive medium, and mu0Is a vacuum magnetic permeability.
5. Method according to claim 2, characterized in that the resistance R of the sensing branch in step 3) is0And a resistance R in each polarization branchlAnd a capacitor ClThe calculation method of (2) is as follows:
Figure FDA0003176637130000022
wherein beta is a geometric parameter of the earth, and the numerical value is usually 1-10; if the number of polarization branches is N, then RlIs the resistance of the first polarized branch, ClThe capacitance of the l polarized branch.
6. The method of claim 2, wherein the admittance G of the polarization equivalent ring and the overall polarizability η of the subsurface medium in step 4) are each calculated by:
Figure FDA0003176637130000023
Figure FDA0003176637130000024
wherein i is an imaginary number, ω is an angular frequency, R0Is a resistance of the sensing branch, ClThe capacitance of the l polarized branch.
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