A High-Efficiency Spectral Element Method Based on CFS-PML for GPR Numerical Simulation and Reverse Time Migration

Improving the accuracy and efficiency of the numerical simulation of ground penetrating radar (GPR) becomes a pressing need with the rapidly increased amount of inversion data and the growing demand for migration imaging quality. In this article, we present a numerical spectral element time-domain (...

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Main Authors: Xun Wang, Tianxiao Yu, Deshan Feng, Siyuan Ding, Bingchao Li, Yuxin Liu, Zheng Feng
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10006399/
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author Xun Wang
Tianxiao Yu
Deshan Feng
Siyuan Ding
Bingchao Li
Yuxin Liu
Zheng Feng
author_facet Xun Wang
Tianxiao Yu
Deshan Feng
Siyuan Ding
Bingchao Li
Yuxin Liu
Zheng Feng
author_sort Xun Wang
collection DOAJ
description Improving the accuracy and efficiency of the numerical simulation of ground penetrating radar (GPR) becomes a pressing need with the rapidly increased amount of inversion data and the growing demand for migration imaging quality. In this article, we present a numerical spectral element time-domain (SETD) simulation procedure for GPR forward modeling and further apply it to the reverse time migration (RTM) with complex geoelectric models. This approach takes into account the flexibility of the finite element methods and the high precision of the spectral methods. Meanwhile, in this procedure, the complex frequency shifted perfectly matched layer (CFS-PML) is loaded to effectively suppress the echo at the truncated boundary, and the per-element GPU parallel framework used can achieve up to 5.7788 times the efficiency compared with the CPU calculation. The experiments on SETD spatial convergence and CFS-PML optimal parameter selection showed that, under the same degree of freedom, the SETD offered substantially better accuracy compared with the traditional FETD. The experiments on RTM of different profiles with different orders of SETD via a complex geoelectric model verify the universality of the algorithm. The results indicate that the RTM imaging effect has been significantly improved with the increase of SETD order. It fully proves the great potential of efficient and high-precision SETD simulation algorithm in the RTM imaging direction and shows certain guiding significance for underground target structure exploration.
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spelling doaj.art-dd9279df00214671be083778f6ec61402023-02-21T00:00:29ZengIEEEIEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing2151-15352023-01-01161232124310.1109/JSTARS.2023.323419910006399A High-Efficiency Spectral Element Method Based on CFS-PML for GPR Numerical Simulation and Reverse Time MigrationXun Wang0https://orcid.org/0000-0002-3039-4683Tianxiao Yu1https://orcid.org/0000-0003-3560-654XDeshan Feng2https://orcid.org/0000-0002-6290-7797Siyuan Ding3https://orcid.org/0000-0002-6885-5748Bingchao Li4Yuxin Liu5Zheng Feng6Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring (Central South University), Ministry of Education, Changsha, ChinaKey Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring (Central South University), Ministry of Education, Changsha, ChinaKey Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring (Central South University), Ministry of Education, Changsha, ChinaKey Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring (Central South University), Ministry of Education, Changsha, ChinaKey Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring (Central South University), Ministry of Education, Changsha, ChinaKey Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring (Central South University), Ministry of Education, Changsha, ChinaKey Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring (Central South University), Ministry of Education, Changsha, ChinaImproving the accuracy and efficiency of the numerical simulation of ground penetrating radar (GPR) becomes a pressing need with the rapidly increased amount of inversion data and the growing demand for migration imaging quality. In this article, we present a numerical spectral element time-domain (SETD) simulation procedure for GPR forward modeling and further apply it to the reverse time migration (RTM) with complex geoelectric models. This approach takes into account the flexibility of the finite element methods and the high precision of the spectral methods. Meanwhile, in this procedure, the complex frequency shifted perfectly matched layer (CFS-PML) is loaded to effectively suppress the echo at the truncated boundary, and the per-element GPU parallel framework used can achieve up to 5.7788 times the efficiency compared with the CPU calculation. The experiments on SETD spatial convergence and CFS-PML optimal parameter selection showed that, under the same degree of freedom, the SETD offered substantially better accuracy compared with the traditional FETD. The experiments on RTM of different profiles with different orders of SETD via a complex geoelectric model verify the universality of the algorithm. The results indicate that the RTM imaging effect has been significantly improved with the increase of SETD order. It fully proves the great potential of efficient and high-precision SETD simulation algorithm in the RTM imaging direction and shows certain guiding significance for underground target structure exploration.https://ieeexplore.ieee.org/document/10006399/Complex frequency shifted perfectly matched layer (CFS-PML)ground penetrating radar (GPR)per-element GPU parallel frameworkspectral element method (SEM)
spellingShingle Xun Wang
Tianxiao Yu
Deshan Feng
Siyuan Ding
Bingchao Li
Yuxin Liu
Zheng Feng
A High-Efficiency Spectral Element Method Based on CFS-PML for GPR Numerical Simulation and Reverse Time Migration
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
Complex frequency shifted perfectly matched layer (CFS-PML)
ground penetrating radar (GPR)
per-element GPU parallel framework
spectral element method (SEM)
title A High-Efficiency Spectral Element Method Based on CFS-PML for GPR Numerical Simulation and Reverse Time Migration
title_full A High-Efficiency Spectral Element Method Based on CFS-PML for GPR Numerical Simulation and Reverse Time Migration
title_fullStr A High-Efficiency Spectral Element Method Based on CFS-PML for GPR Numerical Simulation and Reverse Time Migration
title_full_unstemmed A High-Efficiency Spectral Element Method Based on CFS-PML for GPR Numerical Simulation and Reverse Time Migration
title_short A High-Efficiency Spectral Element Method Based on CFS-PML for GPR Numerical Simulation and Reverse Time Migration
title_sort high efficiency spectral element method based on cfs pml for gpr numerical simulation and reverse time migration
topic Complex frequency shifted perfectly matched layer (CFS-PML)
ground penetrating radar (GPR)
per-element GPU parallel framework
spectral element method (SEM)
url https://ieeexplore.ieee.org/document/10006399/
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