TY - JOUR
T1 - Accurately propagating P- And S-waves in attenuation media using spatial-independent-order decoupled fractional Laplacians
AU - Wang, Ning
AU - Xing, Guangchi
AU - Zhu, Tieyuan
N1 - Funding Information:
This work is supported in part by National Natural Science Foundation of China (41630314, 41874130) and Major Project of the China National Petroleum Corporation (2019A-3304). N. Wang would like to acknowledge CSC fellowship to support his study at Penn State University.
Publisher Copyright:
© 2019 SEG
PY - 2019/8/10
Y1 - 2019/8/10
N2 - To accurately simulate wave propagation in the earth, the dispersion and dissipation caused by attenuation should be taken into account during wavefield extrapolation. In this study, we derive a spatial-independent-order decoupled fractional Laplacian (DFL) viscoelastic wave equation based on the dispersion relation of the constant-Q model. The proposed DFL viscoelastic wave equation similar to DFL wave equations show the decoupled anelastic effects. In addition, the proposed formulation has a superiority that the power orders of DFL operators are constant. For numerical simulations in heterogeneous attenuation media, our scheme is free of suffering from the mixed-domain problem and thus maintain the numerical accuracy. Numerical examples in 2D and 3D demonstrate the accuracy and the feasibility of the proposed scheme for seismic modelling problems.
AB - To accurately simulate wave propagation in the earth, the dispersion and dissipation caused by attenuation should be taken into account during wavefield extrapolation. In this study, we derive a spatial-independent-order decoupled fractional Laplacian (DFL) viscoelastic wave equation based on the dispersion relation of the constant-Q model. The proposed DFL viscoelastic wave equation similar to DFL wave equations show the decoupled anelastic effects. In addition, the proposed formulation has a superiority that the power orders of DFL operators are constant. For numerical simulations in heterogeneous attenuation media, our scheme is free of suffering from the mixed-domain problem and thus maintain the numerical accuracy. Numerical examples in 2D and 3D demonstrate the accuracy and the feasibility of the proposed scheme for seismic modelling problems.
UR - http://www.scopus.com/inward/record.url?scp=85121862550&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85121862550&partnerID=8YFLogxK
U2 - 10.1190/segam2019-3215826.1
DO - 10.1190/segam2019-3215826.1
M3 - Conference article
AN - SCOPUS:85121862550
SN - 1052-3812
SP - 3805
EP - 3809
JO - SEG Technical Program Expanded Abstracts
JF - SEG Technical Program Expanded Abstracts
T2 - Society of Exploration Geophysicists International Exposition and 89th Annual Meeting, SEG 2019
Y2 - 15 September 2019 through 20 September 2019
ER -