Abstract：With the use of relation between stress and displacement, we derive the following wave equation in anisotropic medium a∑#em/em#=1∂σik/∂xk-fi=ρ∂2ui/∂t (#em/em#=1, 2, 3; k=1, 2, 3) SH-wave equation in two-dimensional elliptic anisotropir medium can be derived when x-z plane is normal to structural trend in TI medium which is vertically anisotropic and laterally isotropic, and when the symmetric axis of TI medium is parallel to z axis. In terms of plane wave theory, velocity function is derived from this wave equation, forward and inverse modeling methods which use wave equation in anisotropic medium are given by cons!zlting forward and inverse modelings which use acoustic wave equation phase-shift. The influence of velocity upon migration is discussed in the cases of isotropic medium and anisotropic medium respectively. Illustrative analyses lead to the conclusion: if the assumptive premise of seismic data to be processed accords with that of data processing softwares we usn, the migration result obtained by using anisotropic wave equation is correcr9 and if not, there will occur obvious errors which can rrot be neglected even in the case of weak anisotropic medium.
刘彦强, 董敏煜. 对从各向同性到各向异性带来的几个问题的初探[J]. 石油地球物理勘探, 1992, 27(1): 29-44.
Liu Yanqiang, Dong Minyu. Discussion on some problems involved in transition from isotropic medium to anisotropic medium. OGP, 1992, 27(1): 29-44.
