Acoustic viscoelastic modeling by frequency-domain boundary element method

作者：Xizhu Guan,Li-Yun Fu,Weijia Sun

摘要：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.

發文機構：Institute of Geology and Geophysics CNOOC Research Center

關鍵詞：粘彈性模型邊界元法頻域GREEN函數聲學數值模擬有限差分法粘彈性系數Viscoelastic media Viscoelastic boundary element method Frequency-domain implementation Viscoelastic numerical modeling

分類號： O345[理學—固體力學][理學—力學]O343[理學—固體力學][理學—力學]