Finite Difference Algorithm on Non-Uniform Meshes for Modeling 2D Magnetotelluric Responses

Xiao-zhong, Tong; Guo, Yubing; Xie, Wei

doi:10.3390/a11120203

Cited by 2 publications

(1 citation statement)

References 22 publications

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“…First, we simulated the numerical solutions for the COMMEMI 2D-1 model using the spectral element algorithm and the finite difference method (Tong et al, 2018). In this example, the uniform meshes of the model for the whole calculation area are set to Δy ×Δz 100m × 50m.…”

Section: Commemi 2d-1 Modelmentioning

confidence: 99%

An efficient spectral element method for two-dimensional magnetotelluric modeling

2023

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We introduce a new efficient spectral element approach to solve the two-dimensional magnetotelluric forward problem based on Gauss–Lobatto–Legendre polynomials. It combines the high accuracy of the spectral technique and the perfect flexibility of the finite element approach, which can significantly improve the calculation accuracy. This method mainly includes two steps: 1) transforming the boundary value problem in the partial differential form into the variational problem in the integral form and 2) solving large symmetric sparse systems based on the combination of incomplete LU factorization and the double conjugate gradient stability algorithm through the spectral element with quadrilateral meshes. We imply the spectral element method on a resistivity half-space model to obtain a simple analytical solution and find that the magnetic field solutions simulated by the spectral element approach matched closely to the exact solutions. The experiment result shows that the spectral element solution has high accuracy with coarse meshes. We further compare the numerical results of the spectral element, finite difference, and finite element approaches on the COMMEMI 2D-1 and smooth models, respectively. The numerical results of the spectral element procedure are highly consistent with the other two techniques. All these comparison results suggest that the spectral element technique can not only give high accuracy for modeling results but also provide more detailed information. In particular, a few nodes are required in this method relative to the finite difference and finite element methods, which can decrease the relative errors. We then deduce that the spectral element method might be an alternative approach to simulate the magnetotelluric responses in two- or three-dimensional structures.

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Section: Commemi 2d-1 Modelmentioning

confidence: 99%

An efficient spectral element method for two-dimensional magnetotelluric modeling

2023

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Simulating 2-D magnetotelluric responses using vector-quantized temporal associative memory artificial neural network-based approaches

Mukwachi,

Arnonkijpanich,

Sarakorn

2024

Geosci. Lett.

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In this research, we explore the application of artificial neural networks, specifically the vector-quantized temporal associative memory (VQTAM) and VQTAM coupled with locally linear embedding (VQTAM-LLE) techniques, for simulating 2-D magnetotelluric forward modeling. The study introduces the concepts of VQTAM and VQTAM-LLE in the context of simulating 2-D magnetotelluric responses, outlining their underlying principles. We rigorously evaluate the accuracy and efficiency of both VQTAM variants through extensive numerical experiments conducted on diverse benchmark resistivity and real-terrain models. The results demonstrate the remarkable capability of VQTAM and VQTAM-LLE in accurately and efficiently predicting apparent resistivity and impedance phases, surpassing the performance of traditional numerical methods. This study underscores the potential of VQTAM and VQTAM-LLE as valuable computational alternatives for simulating magnetotelluric responses, offering a viable choice alongside conventional methods.

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Finite Difference Algorithm on Non-Uniform Meshes for Modeling 2D Magnetotelluric Responses

Cited by 2 publications

References 22 publications

An efficient spectral element method for two-dimensional magnetotelluric modeling

An efficient spectral element method for two-dimensional magnetotelluric modeling

Simulating 2-D magnetotelluric responses using vector-quantized temporal associative memory artificial neural network-based approaches

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