Viscoelastic anisotropic seismic wave modeling using recursive convolution method and curvilinear collocated finite difference method for different boundaries: SEG Technical Program Expanded Abstracts

C. Jin; B. Zhou

doi:10.1190/image2023-3907647.1

Viscoelastic anisotropic seismic wave modeling using recursive convolution method and curvilinear collocated finite difference method for different boundaries: SEG Technical Program Expanded Abstracts

C. Jin, B. Zhou

Earth Science

Research output: Contribution to conference › Paper › peer-review

Abstract

We proposed a generalized viscoelastic anisotropic wave equation based on the General Maxwell Body, which can accommodate various medium and different boundary conditions. The temporal convolutions in the anelastic constitutive equation are solved by a recursive convolution method. The boundary conditions are implemented using the Mac-Cormack finite differential formats to the independent wavefield variables determined by the matrix forms of these conditions. The numerical solutions of various models are compared with analytical and spectral element solutions to validate the proposed method. The feasibility and accuracy are verified for both homogenous and heterogenous media. © 2023 Society of Exploration Geophysicists and the American Association of Petroleum Geologists.

Original language	British English
Pages	1356-1360
Number of pages	5
DOIs	https://doi.org/10.1190/image2023-3907647.1
State	Published - 2023

Keywords

Anisotropy
Boundary conditions
Convolution
Maxwell equations
Numerical methods
Viscoelasticity
Condition
Different boundary condition
Equation based
Finite-difference methods
Matrix forms
Maxwell body
Recursive convolution methods
Seismic wave modeling
Viscoelastics
Wavefields
Finite difference method

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10.1190/image2023-3907647.1

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title = "Viscoelastic anisotropic seismic wave modeling using recursive convolution method and curvilinear collocated finite difference method for different boundaries: SEG Technical Program Expanded Abstracts",

abstract = "We proposed a generalized viscoelastic anisotropic wave equation based on the General Maxwell Body, which can accommodate various medium and different boundary conditions. The temporal convolutions in the anelastic constitutive equation are solved by a recursive convolution method. The boundary conditions are implemented using the Mac-Cormack finite differential formats to the independent wavefield variables determined by the matrix forms of these conditions. The numerical solutions of various models are compared with analytical and spectral element solutions to validate the proposed method. The feasibility and accuracy are verified for both homogenous and heterogenous media. {\textcopyright} 2023 Society of Exploration Geophysicists and the American Association of Petroleum Geologists.",

keywords = "Anisotropy, Boundary conditions, Convolution, Maxwell equations, Numerical methods, Viscoelasticity, Condition, Different boundary condition, Equation based, Finite-difference methods, Matrix forms, Maxwell body, Recursive convolution methods, Seismic wave modeling, Viscoelastics, Wavefields, Finite difference method",

author = "C. Jin and B. Zhou",

note = "Export Date: 11 January 2024; Cited By: 0",

year = "2023",

doi = "10.1190/image2023-3907647.1",

language = "British English",

pages = "1356--1360",

}

TY - CONF

T1 - Viscoelastic anisotropic seismic wave modeling using recursive convolution method and curvilinear collocated finite difference method for different boundaries

T2 - SEG Technical Program Expanded Abstracts

AU - Jin, C.

AU - Zhou, B.

N1 - Export Date: 11 January 2024; Cited By: 0

PY - 2023

Y1 - 2023

N2 - We proposed a generalized viscoelastic anisotropic wave equation based on the General Maxwell Body, which can accommodate various medium and different boundary conditions. The temporal convolutions in the anelastic constitutive equation are solved by a recursive convolution method. The boundary conditions are implemented using the Mac-Cormack finite differential formats to the independent wavefield variables determined by the matrix forms of these conditions. The numerical solutions of various models are compared with analytical and spectral element solutions to validate the proposed method. The feasibility and accuracy are verified for both homogenous and heterogenous media. © 2023 Society of Exploration Geophysicists and the American Association of Petroleum Geologists.

AB - We proposed a generalized viscoelastic anisotropic wave equation based on the General Maxwell Body, which can accommodate various medium and different boundary conditions. The temporal convolutions in the anelastic constitutive equation are solved by a recursive convolution method. The boundary conditions are implemented using the Mac-Cormack finite differential formats to the independent wavefield variables determined by the matrix forms of these conditions. The numerical solutions of various models are compared with analytical and spectral element solutions to validate the proposed method. The feasibility and accuracy are verified for both homogenous and heterogenous media. © 2023 Society of Exploration Geophysicists and the American Association of Petroleum Geologists.

KW - Anisotropy

KW - Boundary conditions

KW - Convolution

KW - Maxwell equations

KW - Numerical methods

KW - Viscoelasticity

KW - Condition

KW - Different boundary condition

KW - Equation based

KW - Finite-difference methods

KW - Matrix forms

KW - Maxwell body

KW - Recursive convolution methods

KW - Seismic wave modeling

KW - Viscoelastics

KW - Wavefields

KW - Finite difference method

U2 - 10.1190/image2023-3907647.1

DO - 10.1190/image2023-3907647.1

M3 - Paper

SP - 1356

EP - 1360

ER -

Viscoelastic anisotropic seismic wave modeling using recursive convolution method and curvilinear collocated finite difference method for different boundaries: SEG Technical Program Expanded Abstracts

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Keywords

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