TY - JOUR
T1 - Modeling of wave propagation in a transversely isotropic attenuative medium based on fractional Laplacian
AU - Zhu, Tieyuan
AU - Bai, Tong
N1 - Funding Information:
The study was supported by the start-up funding from the Department of Geosciences at the Pennsylvania State University, and in part by a Seed Grant award from the Institute for Cyber-Science at the Pennsylvania State University.
Publisher Copyright:
© 2018 SEG
PY - 2018/8/27
Y1 - 2018/8/27
N2 - Modeling seismic wave propagation in anisotropic media is critical in the development of advanced full waveform imaging and inversion. This paper presents a new constitutive equation and the corresponding viscoelastic transversely-isotropic (TI) wave equation based on factional Laplacian operators under the assumption of weak attenuation. The fractional Laplacian operators that are non-local in space can be efficiently computed using the Fourier pseudospectral method. We evaluate the accuracy of numerical solutions in a homogeneous transversely isotropic medium by comparing with theoretical predictions and numerical solutions by an existing viscoelastic anisotropic wave equation based on fractional time derivatives. We found that the proposed formulation is able to improve the efficiency of wave simulation in viscoelastic-TI media by an order with maintaining the accuracy.
AB - Modeling seismic wave propagation in anisotropic media is critical in the development of advanced full waveform imaging and inversion. This paper presents a new constitutive equation and the corresponding viscoelastic transversely-isotropic (TI) wave equation based on factional Laplacian operators under the assumption of weak attenuation. The fractional Laplacian operators that are non-local in space can be efficiently computed using the Fourier pseudospectral method. We evaluate the accuracy of numerical solutions in a homogeneous transversely isotropic medium by comparing with theoretical predictions and numerical solutions by an existing viscoelastic anisotropic wave equation based on fractional time derivatives. We found that the proposed formulation is able to improve the efficiency of wave simulation in viscoelastic-TI media by an order with maintaining the accuracy.
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U2 - 10.1190/segam2018-2996242.1
DO - 10.1190/segam2018-2996242.1
M3 - Conference article
AN - SCOPUS:85121832625
SN - 1052-3812
SP - 3818
EP - 3822
JO - SEG Technical Program Expanded Abstracts
JF - SEG Technical Program Expanded Abstracts
T2 - Society of Exploration Geophysicists International Exposition and 88th Annual Meeting, SEG 2018
Y2 - 14 October 2018 through 19 October 2018
ER -