Three-dimensional numerical modeling of direct current resistivity methods in mixed space-wavenumber domain

Dai, Shaotao; Ling, Jiaxuan; Chen, Qingrui; Zhang, Ying; Li, Kun; Zhang, Qianjiang

doi:10.1016/j.jappgeo.2022.104535

Cited by 3 publications

(1 citation statement)

References 47 publications

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“…Perform a 2D inverse Fourier transform on the wavenumber domain anomalous potential to obtain the spatial domain anomalous potential, and add the background potential to obtain the total potential. Then, use a compact operator [5] for iterative modification to obtain high-precision numerical solutions. It should be noted that we used the standard FFT method for 2D inverse Fourier transform.…”

Section: Theorymentioning

confidence: 99%

Research on numerical simulation method for 3D marine direct current resistivity

Ling,

Deng,

Liu

et al. 2024

J. Phys.: Conf. Ser.

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As one of the most important methods in marine electromagnetic exploration, the marine direct current (DC) resistivity method has been widely used in the exploration of marine minerals, oil and gas, as well as in large-scale engineered geological exploration and other fields. Efficient and high-precision forward algorithms are the foundation for an accurate quantitative interpretation of the marine DC resistivity method. We have implemented an efficient and high-precision forward modeling approach for 3D marine DC resistivity. First, the wave number domain anomalous potential control equations are obtained by performing a 2D Fourier transform along the horizontal direction based on the differential control equations satisfied by the marine DC anomalous potential. Instead of directly solving the 3D numerical simulation problem, we transform the 3D numerical simulation problem into multiple 1D numerical simulation problems in the wavenumber domain by dimensionality reduction for computational efficiency. Second, the boundary conditions of the governing equations are given to obtain the corresponding boundary value problems, and the anomalous potential is solved using the 1D finite element method in the wavenumber domain. Next, we perform a 2D inverse Fourier transform on the wave-number domain anomalous potential to obtain the spatial domain anomalous potential. Furthermore, compact operators are used to iteratively modify the potential and obtain high-precision numerical solutions. Finally, we demonstrate the correctness of the proposed algorithm’s solution strategy by using a hierarchical ocean model, and the efficiency of the proposed algorithm by using a spherical model.

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Section: Theorymentioning

confidence: 99%

Research on numerical simulation method for 3D marine direct current resistivity

Ling,

Deng,

Liu

et al. 2024

J. Phys.: Conf. Ser.

Self Cite

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Three-dimensional modeling of Marine Controlled Source Electromagnetic field using a space-wavenumber domain method

Chen,

Ma,

Zhang

et al. 2024

J. Phys.: Conf. Ser.

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Under complex conditions, the three-dimensional modeling of Marine Controlled Source Electromagnetic field requires a significant amount of computation, resulting in slow calculation speed and high storage requirements. To solve these problems, we propose a 3D numerical simulation method of electromagnetic field in the space-wavenumber domain under the Lorenz gauge. Firstly, the new method utilizes the two-dimensional Fourier transform in the horizontal direction to transform the 3D partial differential equations of the Lorenz vector potentials into multiple independent ordinary differential equations. Secondly, the finite element method is used to solve the ordinary differential equations. The fields in the spatial domain are then obtained by using the inverse Fourier transform, and finally, an iterative method with a compact operator is applied to approximate the true solution. The approach requires less computation and storage, and the algorithm is highly parallel, which effectively improves the efficiency of 3D forward modeling of electromagnetic fields. The correctness, effectiveness, and computational efficiency of the method are verified by the design model.

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Large-scale 3D geophysical electromagnetic field simulation using survey decomposition and blockchain-coordinated massive parallel computing

Zhang,

Yang

2024

International Workshop on Gravity, Electrical &Amp; Magnetic Methods and Their Applications, Shenzhen, China, May 19–22, 2024

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Three-dimensional numerical modeling of direct current resistivity methods in mixed space-wavenumber domain

Cited by 3 publications

References 47 publications

Research on numerical simulation method for 3D marine direct current resistivity

Research on numerical simulation method for 3D marine direct current resistivity

Three-dimensional modeling of Marine Controlled Source Electromagnetic field using a space-wavenumber domain method

Large-scale 3D geophysical electromagnetic field simulation using survey decomposition and blockchain-coordinated massive parallel computing

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