摘要
In order to solve the common problem of anisotropy in seismic exploration,we derived first-order stress velocity and difference equations of solid and fluid phases in a dual-phase anisotropic PTL medium by using the wave equation of dual-phase anisotropic medium.The higher 2-D cross grid difference method was applied to simulate and analyze the wavelength of dual-phase PTL medium and to study the dissipation coefficient and wave field of the dual-phase PTL medium.The following results were obtained through modeling.(1) Rapid P-,slow P-and SV-waves co-exist in the dual-phase PTL medium and their wave fields are anisotropic.(2) The influences of dissipation coefficient on the propagation of seismic waves are mainly represented by adsorption and attenuation of seismic wave energy.The influence of dissipation coefficient on the slow P-wave is significant,and the slow P-wave can be rapidly and completely attenuated when the dissipation coefficient is large.If the dissipation coefficients are significantly different in different directions,the attenuation of slow P-wave energy occurs in all directions rather than only in one direction.This study improves efficiency and enhances stability of computation,thus is of great significance to petroleum seismic exploration.