Modeling of wave propagation in a transversely isotropic attenuative medium based on fractional Laplacian

Tieyuan Zhu, Tong Bai

Research output: Contribution to conferencePaper

Abstract

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.

Original languageEnglish (US)
Pages3818-3822
Number of pages5
DOIs
StatePublished - Jan 1 2019
Event88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018 - Anaheim, United States
Duration: Oct 14 2018Oct 19 2018

Other

Other88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018
CountryUnited States
CityAnaheim
Period10/14/1810/19/18

Fingerprint

isotropic media
wave equation
wave propagation
wave equations
operators
anisotropic medium
constitutive equation
anisotropic media
seismic waves
constitutive equations
seismic wave
modeling
waveforms
attenuation
inversions
formulations
prediction
predictions
simulation
inversion

All Science Journal Classification (ASJC) codes

  • Geophysics

Cite this

Zhu, T., & Bai, T. (2019). Modeling of wave propagation in a transversely isotropic attenuative medium based on fractional Laplacian. 3818-3822. Paper presented at 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018, Anaheim, United States. https://doi.org/10.1190/segam2018-2996242.1
Zhu, Tieyuan ; Bai, Tong. / Modeling of wave propagation in a transversely isotropic attenuative medium based on fractional Laplacian. Paper presented at 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018, Anaheim, United States.5 p.
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Zhu, T & Bai, T 2019, 'Modeling of wave propagation in a transversely isotropic attenuative medium based on fractional Laplacian' Paper presented at 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018, Anaheim, United States, 10/14/18 - 10/19/18, pp. 3818-3822. https://doi.org/10.1190/segam2018-2996242.1

Modeling of wave propagation in a transversely isotropic attenuative medium based on fractional Laplacian. / Zhu, Tieyuan; Bai, Tong.

2019. 3818-3822 Paper presented at 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018, Anaheim, United States.

Research output: Contribution to conferencePaper

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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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Zhu T, Bai T. Modeling of wave propagation in a transversely isotropic attenuative medium based on fractional Laplacian. 2019. Paper presented at 88th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2018, Anaheim, United States. https://doi.org/10.1190/segam2018-2996242.1