A Meshless Numerical Simulation Method for Magnetotellurics in Anisotropic Media

Abstract

The invention brings forward a magnetotelluric meshless value simulation method for constructing a shape function on the basis of discrete nodes, for solving the problem of anisotropy widely existing in underground space media. It is assumed that one of electrical main shafts of an anisotropy medium is vertical to a bedding plane aspect and the other is parallel to a bedding plane direction, and thus a conductivity tensor model of an anisotropy medium model is constructed. For the purpose of solving an anisotropy magnetotelluric boundary value problem, an equivalent linear equation group corresponding to a meshless radical point interception method is derived, the shape function is constructed by compounding a multiquadric radial basis function (MQ-RBF) two times, and a large-scale sparse linear equation group is efficiently and accurately solved through QR preprocessing in a Krylov subspace and a quasi-minimal residual method (QMR). According to the invention, the constructed shape function is smooth and stable, complex distribution of physical property parameters of an electromagnetic method can be realized, and high-precision self-adaptive value simulation is realized.

Description

technical field [0001] The invention relates to the anisotropy of underground media in the field of geophysical exploration, and proposes a gridless numerical simulation method based on discrete node structure shape functions, which is suitable for geophysical exploration methods such as magnetotellurics. Background technique [0002] The structure and properties of the Earth's interior are at the heart of the study of geophysics. Earth science in the 21st century is the era of lateral inhomogeneity and anisotropy of media, tectonic and deep dynamical processes. With the continuous progress of modern observation technology and the continuous improvement of the level of understanding, the problem of anisotropy has gradually attracted people's attention, and has become a hot spot in geophysics research. [0003] Magnetotelluric Sounding (MT) is a geophysical exploration method that uses natural alternating electromagnetic fields to study the electrical structure of the earth....

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Problems solved by technology

[0006] The above methods are all based on grid implementation. In the process of calculation and implementation, there are disadvantages such as high cost of grid generation, low accuracy in places where field values ​​change drastically, and difficulty in adaptive analysis.

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