【摘要】 以Carcione各向异性粘弹性理论为基础,导出了适用于任意方位角的粘弹性方位各向异性(HTI)介质的波动方程,推导了该方程在交错网格空间中求解的高阶有限差分格式和对应的完全匹配层(PML)吸收边界条件,实现了该类介质的地震波场正演模拟。模拟结果表明,该方法能准确模拟地震波在含直立裂缝粘弹性介质中的传播过程,得到高精度的波场快照和合成记录。初步分析了介质的各向异性特征和衰减特征,研究了裂缝方位角和粘滞性参数对地震波场的影响机理。更多还原

【Abstract】 On the basis of Carcione′s theories of viscoelasticity and anisotropy,this paper derived the wave equation of viscoelastic azimuth and anisotropic media suitable for all azimuths and deduced the high-order finite difference scheme for the equation solved in staggered-grid space and the absorbing boundary condition corresponding to the perfectly matched layer(PML),realizing the simulation of seismic wave field for that kind of media.The results show that the method can simulate the seismic propagation process accurately in the viscoslastic media with vertical fractures and can obtain the high precise snapshots of wave field and composite seismograms.Additionally,this work analyzed the anisotropic and viscoelastic characteristics of the media and investigated the effects of the azimuths of fractures and the viscosity parameters on wave field.更多还原