Forward modeling and illumination analysis in visco-acoustic VTI media
Li Jinli1,2, Liu Jianxun1,2, Jiang Chunxiang1,2, Wang Xiaojiang1,2, Yue Hangyu1,2, Li Guangcai1,2
1. The National Center for Geological Exploration Technology, Langfang, Hebei 065000, China; 2. Institute of Geophysical and Geochemical Exploration, Chinese Academy of Geological Sciences, Langfang, Hebei 065000, China
Abstract：The visco-elasticity and anisotropy widely exist in the earth.Therefore,the attenuation term of visco-acoustic quasi-differential equation is extended to VTI quasi-differential equations to propose visco-acoustic VTI quasi-differential equations,which care for both visco-elastic and VTI properties of media.The finite difference method is used to solve the equations,in which attenuation terms are solved in the wave-number domain,while other terms are solved in the time-space domain.On this basis,we develop a two-way wave illumination analysis method in visco-acoustic VTI media.A homogeneous model forward modeling proves that the proposed visco-acoustic VTI quasi-differential equations can describe dynamics and kinematics characteristics of seismic wave propagating in the visco-acoustic VTI media.The forward modeling for a sag model shows that the VTI property causes traveltime and waveform difference,and the visco-elasticity leads to amplitude attenuation.Finally,the illumination analysis illustrates that the visco-elastic and VTI properties affect the energy distribution of the wave field.
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