Calculation method of electromagnetic field response of dipole source at arbitrary position under layered geological conditions

An arbitrary-position, layered geology technology, applied in the field of electromagnetic computing, can solve problems such as insufficient calculation accuracy, and achieve the effects of high calculation accuracy, strong practicability, and strict logic

Inactive Publication Date: 2019-10-25
CENT SOUTH UNIV
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Problems solved by technology

[0011] The purpose of the present invention is to provide a method for calculating the electromagnetic field response of a dipole

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  • Calculation method of electromagnetic field response of dipole source at arbitrary position under layered geological conditions
  • Calculation method of electromagnetic field response of dipole source at arbitrary position under layered geological conditions
  • Calculation method of electromagnetic field response of dipole source at arbitrary position under layered geological conditions

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Embodiment

[0067] Such as figure 1 As shown, a calculation method for the electromagnetic field response of a dipole source at any position under layered geological conditions includes the following steps:

[0068] Step S100: defining each formation according to the position of the dipole source in the layered medium;

[0069] Step S200: orthogonally decomposing the dipole source;

[0070] Step S300: Deriving the Lorentz vector potential expression of the unit dipole source at the measuring point;

[0071] Step S400: Obtain the electromagnetic field expression according to the Lorentz vector potential of the measuring point;

[0072] Step S500: use the Gaussian extrapolation method to calculate the Bessel function integral in the expression, and obtain the numerical solution of the electromagnetic field at the measuring point;

[0073] Step S600: The numerical solution is multiplied by the dipole moment to obtain the electromagnetic field response of the dipole source.

[0074] detai...

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Abstract

The invention provides a numerical calculation method of an electromagnetic field response of a dipole source at an arbitrary position under layered geological conditions. The calculation method comprises the steps of: step S100, defining stratums according to the position of the dipole source in the layered stratums; step 200, performing orthogonal decomposition on the dipole source; step S300, deriving a Lorentz vector potential expression generated by the unit dipole source in each stratum; step S400, deriving an electromagnetic field expression in each stratum according to the Lorentz vector potential expression; step S500, calculating a Bessel functional integration in the electromagnetic field expression by adopting a Gaussian extrapolation method to obtain a numerical solution of the electromagnetic field; step S600, and acquiring the electromagnetic field response of the dipole source by multiplying the numerical solution by a dipole source moment. The calculation method utilizes the expressions that Lorentz vector potential between the adjacent stratums satisfy, utilizes the particular solution of the stratum where the dipole source locates for circulating recursion to obtain the Lorentz vector potential expressions of all stratums, and obtains the electromagnetic field expression by means of the Lorentz vector potential, finally calculates the Bessel functional integration in the electromagnetic field expression by adopting the Gaussian extrapolation method to obtain the electromagnetic field response of the dipole source, and has the advantages of clear theory and high calculation precision.

Description

technical field [0001] The invention relates to the field of electromagnetic calculation, in particular to a calculation method for the electromagnetic field response of a dipole source at any position under layered geological conditions. Background technique [0002] One-dimensional electromagnetic field response calculation methods include numerical solutions and analytical solutions. [0003] Numerical solutions include differential equation method and integral equation method. The key is to divide the underground medium into discrete units, use the relationship between the electromagnetic fields in each discrete unit to form a system of equations, and solve the equations to obtain the numerical solution of the electromagnetic field in all units. Numerical solutions often require a large number of units, resulting in a huge scale of relational equations formed by the electromagnetic field of the units, and a long solution time. [0004] Analytical calculation of the elec...

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Application Information

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IPC IPC(8): G01V3/38
CPCG01V3/38
Inventor 刘嵘柳卓柳建新郭荣文王建新
Owner CENT SOUTH UNIV
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