Acoustic viscoelastic modeling by frequency-domain boundary element method |
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Authors: | Xizhu Guan Li-Yun Fu Weijia Sun |
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Institution: | 1.Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China2.CNOOC Research Center, Beijing 100027, China |
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Abstract: | Earth medium is not completely elastic, with its viscosity resulting in attenuation and dispersion of seismic waves. Most viscoelastic numerical simulations are based on the finite-difference and finite-element methods. Targeted at viscoelastic numerical modeling for multilayered media, the constant-Q acoustic wave equation is transformed into the corresponding wave integral representation with its Green’s function accounting for viscoelastic coefficients. An efficient alternative for full-waveform solution to the integral equation is proposed in this article by extending conventional frequency-domain boundary element methods to viscoelastic media. The viscoelastic boundary element method enjoys a distinct characteristic of the explicit use of boundary continuity conditions of displacement and traction, leading to a semi-analytical solution with sufficient accuracy for simulating the viscoelastic effect across irregular interfaces. Numerical experiments to study the viscoelastic absorption of different Q values demonstrate the accuracy and applicability of the method. |
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Keywords: | Viscoelastic media Viscoelastic boundary element method Frequency-domain implementation Viscoelastic numerical modeling |
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