Three-dimensional multi-source natural potential numerical simulation method based on natural unit-infinite element
A natural potential and numerical simulation technology, applied in CAD numerical modeling, special data processing applications, design optimization/simulation, etc., can solve problems such as difficult division of complex abnormal volumes and cumbersome processing of truncation boundary problems in multi-source complex models , to achieve the effect of solving the truncated boundary problem and improving the accuracy of numerical simulation
Pending Publication Date: 2021-02-02
CENT SOUTH UNIV
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[0006] In view of the above-mentioned shortcomings and deficiencies of the prior art, the present invention provides a three-dimensional multi-source spontaneous potential numerical simulation method based on natural elements-infinite elements, which solves the difficulty of dissecting complex anomalies in multi-source complex models and the processing of truncation boundary problems cumbersome technical issues
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Embodiment 1
[0066] Such as figure 1 As shown, the flow chart of the three-dimensional multi-source natural potential numerical simulation method based on the natural unit-infinite element provided by the present invention, the method comprises the following steps:
[0067] S1. Construct a three-dimensional multi-source spontaneous potential geoelectric model. The three-dimensional multi-source spontaneous potential geoelectric model includes a natural unit area and an infinite unit area. Specifically, according to the model scale, geometric parameters of abnormal body, undulating terrain and other factors, discrete natural nodes are arranged in the natural unit area, and the infinite unit area with one-way mapping is extended at the five boundaries of the natural unit area except the surface as the boundary unit to deal with the truncated boundary problem.
[0068] Such as figure 2 As shown, it is a schematic diagram of the three-dimensional space coupling relationship between the natu...
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The invention relates to the technical field of natural potential numerical simulation methods, in particular to a three-dimensional multi-source natural potential numerical simulation method based onnatural unit-infinite element. The method comprises the following steps: S1, constructing a three-dimensional multi-source natural potential geoelectric model; S2, constructing a differential equation and an integral equation of the model; S3, based on Laplace interpolation, constructing a basic equation of a three-dimensional natural unit interpolation function and a derivative thereof; S4, constructing a basic equation of a three-dimensional one-way mapping infinite element interpolation function and a derivative thereof; S5, based on the step S2-S4, carrying out global integration on the model to obtain a rigidity matrix of each integral unit; S6, accumulating the stiffness matrixes of the integral units according to node numbers to obtain a total stiffness matrix; S7, constructing a source vector; and S8, based on the total stiffness matrix and the source vector, solving a large sparse equation set to obtain natural potential distribution. The technical problems that complex anomalous bodies in a multi-source complex model are difficult to subdivide, and truncation boundary problem processing is tedious are solved.
Description
technical field [0001] The invention relates to the technical field of natural potential numerical simulation methods, in particular to a three-dimensional multi-source natural potential numerical simulation method based on natural elements-infinite elements. Background technique [0002] In the field of geophysical exploration, the spontaneous potential method has been widely used because of its advantages of simple equipment, high work efficiency, no secondary pollution, and low cost. In particular, the spontaneous potential method has specific electrical signal responses to processes such as subsurface solute migration, redox reactions, natural polarization, and thermal diffusion, and has been widely used in mineral oil and gas exploration, delineation of pollution plumes, geothermal resource detection, and soil parameter estimation etc. [0003] Data inversion and interpretation are the key to solving practical problems in geophysical exploration, and numerical simulati...
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IPC IPC(8): G06F30/20G06F111/10
CPCG06F30/20G06F2111/10
Inventor 崔益安谢静张丽娟郭友军
Owner CENT SOUTH UNIV
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