NUMERICAL MODELING AND ATTENUATION CHARACTERISTICS OF SEISMIC WAVEFIELD IN KELVIN-VOIGT VISCOELASTIC MEDIA
YAN Hong-yong1,2, LIU Yang1,2
1. State Key Laboratory of Petroleum Resource and Prospecting, China University of Petroleum, Beijing 102249, China; 2. CNPC Key Laboratory of Geophysical Exploration, China University of Petroleum, Beijing 102249, China
Abstract：This paper uses finite difference algorithm of high-order staggered-grid simulate Kelvin-Voigt viscoelastic media of seismic waves and meanwhile introduces the perfectly matched layer(PML) absorbing boundary condition into its boundary. Numerical simulation demonstrates that the effect of this algorithm of absorbing boundary is very good and the wavefield of viscoelastic media obtained from high-order finite difference is relatively accurate. An analysis of viscoelastic wavefield simulation shows that the energy of the reflected wave becomes weaker, the attenuation of the high frequency wave is much more apparent in comparison with that of the low frequency wave, the main frequency becomes closer to the low frequency, and the effective bandwidth is narrower, which all induce low resolution of seismic wave according to the simulation of viscoelastic wavefields. Besides, the attenuation of PS-wave is much more rapid in comparison with that of PP-wave and the peak frequency becomes lower gradually with the increase of the propagating distance. It is also shown that the absorption and attenuation are more apparent with the increase of viscosity coefficient by analysis of the absorption and attenuation of seismic wave in different viscosity coefficient media.
严红勇, 刘洋. Kelvin-Voigt黏弹性介质地震波场数值模拟与衰减特征[J]. 物探与化探, 2012, 36(5): 806-812.
YAN Hong-yong, LIU Yang. NUMERICAL MODELING AND ATTENUATION CHARACTERISTICS OF SEISMIC WAVEFIELD IN KELVIN-VOIGT VISCOELASTIC MEDIA. Geophysical and Geochemical Exploration, 2012, 36(5): 806-812.
[1] 牛滨华, 孙春岩.半无限空间各向同性黏弹性介质与地震波传播[M].北京:地质出版社, 2007.[2] 刘瑞珣, 张秉良, 张臣.描述岩石黏弹性固体性质的开尔文模型[J].地学前缘,2008,15(3):221-225.[3] Carcione J M. Seismic modeling in viscoelastic media[J].Geophysics,1993,58(1):110-120.[4] Robertsson J O A, Blanch J O,Symes W W.Viscoelastic finite-difference modeling[J].Geophysics, 1994, 59(9):1444-1456.[5] Xu T,George A.Efficient 3-D viscoelastic modeling with application to near-surface land seismic data[J].Geophysics,1998,63(2):601-612.[6] 刘财, 张智, 邵志刚,等.线性粘弹体中地震波场伪谱法模拟技术[J].地球物理学进展,2005,20(3):640-644.[7] 单启铜, 乐友善.PML边界条件下二维黏弹性介质波场模拟[J].石油物探,2007,46(2):126-130.[8] 裴正林.任意起伏地表弹性波方程交错网格高阶有限差分法数值模拟[J].石油地球物理勘探,2004,39(6):629-634.[9] Kindelan M,Kamel A,Sguazzero P.On the construction and ef?ciency of staggered numerical differentiators for the wave equation[J].Geophysics,1990,55(1):107-110.[10] Chew W, Liu Q.Perfectly matched layers for elastodynamics:A New absorbing boundary condition[J].Journal of Computational Acoustics,1996,4(4):341-359.[11] Collino F,Tsogka C.Application of the PML absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media[J].Geophysics,2001,66(1):294-307.[12] 刘洋, 魏修成.CMP道集反射波吸收方程和层Q值反演[J].石油天然气学报,2009,31(6):69-76.
