Three-dimensional elastic reverse-time migration using a high-order temporal and spatial staggered-grid finite-difference scheme

Three-dimensional (3D) elastic reverse-time migration (ERTM) can image the subsurface 3D seismic structures, and it is an important tool for the Earth’s interior imaging. A common simulation kernel used in 3D ERTM is the current staggered-grid finite-difference (SGFD) method of the first-order elast...

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Main Authors: Jinwei Fang, Lanying Huang, Ying Shi, Hanming Chen, Bo Wang
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-01-01
Series:Frontiers in Earth Science
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/feart.2023.1069506/full
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author Jinwei Fang
Lanying Huang
Ying Shi
Hanming Chen
Bo Wang
author_facet Jinwei Fang
Lanying Huang
Ying Shi
Hanming Chen
Bo Wang
author_sort Jinwei Fang
collection DOAJ
description Three-dimensional (3D) elastic reverse-time migration (ERTM) can image the subsurface 3D seismic structures, and it is an important tool for the Earth’s interior imaging. A common simulation kernel used in 3D ERTM is the current staggered-grid finite-difference (SGFD) method of the first-order elastic wave equation. However, the mere second-order accuracy in time of the current SGFD method can bring non-negligible time dispersion, which reduces the simulation accuracy and further leads to the distortion of the imaging results. This paper proposes a vector-based 3D ERTM using the high-order accuracy SGFD method in time to obtain high-accuracy images. This approach is a new high-resolution ERTM workflow that improves the imaging accuracy of conventional ERTM from numerical simulation. The proposed ERTM workflow is established on a quasi-stress–velocity wave equation and its vector wavefield decomposition form. Advanced SGFD schemes and their corresponding coefficients with fourth-order temporal accuracy solve the quasi-linear wave equation system. The normalized dot product imaging condition produces high-quality images using high-accuracy vector wavefields solved using the SGFD method. Through the numerical examples, we test the simulation efficiency and analyze how temporal accuracy in numerical simulations affects migration imaging quality. We include that the proposed method obtains highly accurate images.
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spelling doaj.art-a59778a3e3f84c779396204a7e6386862023-01-26T05:46:57ZengFrontiers Media S.A.Frontiers in Earth Science2296-64632023-01-011110.3389/feart.2023.10695061069506Three-dimensional elastic reverse-time migration using a high-order temporal and spatial staggered-grid finite-difference schemeJinwei Fang0Lanying Huang1Ying Shi2Hanming Chen3Bo Wang4State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, ChinaSchool of Civil Engineering, Xuzhou University of Technology, Xuzhou, ChinaSchool of Earth Science, Northeast Petroleum University, Daqing, ChinaSchool of Geophysics, China University of Petroleum, Beijing, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, ChinaThree-dimensional (3D) elastic reverse-time migration (ERTM) can image the subsurface 3D seismic structures, and it is an important tool for the Earth’s interior imaging. A common simulation kernel used in 3D ERTM is the current staggered-grid finite-difference (SGFD) method of the first-order elastic wave equation. However, the mere second-order accuracy in time of the current SGFD method can bring non-negligible time dispersion, which reduces the simulation accuracy and further leads to the distortion of the imaging results. This paper proposes a vector-based 3D ERTM using the high-order accuracy SGFD method in time to obtain high-accuracy images. This approach is a new high-resolution ERTM workflow that improves the imaging accuracy of conventional ERTM from numerical simulation. The proposed ERTM workflow is established on a quasi-stress–velocity wave equation and its vector wavefield decomposition form. Advanced SGFD schemes and their corresponding coefficients with fourth-order temporal accuracy solve the quasi-linear wave equation system. The normalized dot product imaging condition produces high-quality images using high-accuracy vector wavefields solved using the SGFD method. Through the numerical examples, we test the simulation efficiency and analyze how temporal accuracy in numerical simulations affects migration imaging quality. We include that the proposed method obtains highly accurate images.https://www.frontiersin.org/articles/10.3389/feart.2023.1069506/full3D ERTMwave equationstaggered-grid finite-differencetemporal finite-difference accuracyimaging conditionhigh-accuracy imaging
spellingShingle Jinwei Fang
Lanying Huang
Ying Shi
Hanming Chen
Bo Wang
Three-dimensional elastic reverse-time migration using a high-order temporal and spatial staggered-grid finite-difference scheme
Frontiers in Earth Science
3D ERTM
wave equation
staggered-grid finite-difference
temporal finite-difference accuracy
imaging condition
high-accuracy imaging
title Three-dimensional elastic reverse-time migration using a high-order temporal and spatial staggered-grid finite-difference scheme
title_full Three-dimensional elastic reverse-time migration using a high-order temporal and spatial staggered-grid finite-difference scheme
title_fullStr Three-dimensional elastic reverse-time migration using a high-order temporal and spatial staggered-grid finite-difference scheme
title_full_unstemmed Three-dimensional elastic reverse-time migration using a high-order temporal and spatial staggered-grid finite-difference scheme
title_short Three-dimensional elastic reverse-time migration using a high-order temporal and spatial staggered-grid finite-difference scheme
title_sort three dimensional elastic reverse time migration using a high order temporal and spatial staggered grid finite difference scheme
topic 3D ERTM
wave equation
staggered-grid finite-difference
temporal finite-difference accuracy
imaging condition
high-accuracy imaging
url https://www.frontiersin.org/articles/10.3389/feart.2023.1069506/full
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