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.

发文机构：Institute of Geology and Geophysics CNOOC Research Center

关键词：粘弹性模型边界元法频域GREEN函数声学数值模拟有限差分法粘弹性系数Viscoelastic media Viscoelastic boundary element method Frequency-domain implementation Viscoelastic numerical modeling

分类号： O345[理学—固体力学][理学—力学]O343[理学—固体力学][理学—力学]