An improved method to establish 3D random media with flexible preferred orientation

In seismic prospecting, the study that the seismic wave propagation is itself affected by the small scale inhomogeneities of the geologic body, has been an important issue and drawn much attention in recent years. However, models have been used in this kind of study are mainly periodically layered media, one-dimensional (1-D) finely stratified isotropic random media and 2-D random media. Because we are able to get more realistic information by studying the issue in 3-D situation, we have developed a flexible and effective way to establish 3-D random media in which the preferred orientation of the small scale inhomogeneities has been extended. In order to suppress the errors arising from discrete computation, we derived a 3-D tapering function and applied it to modeling process. Thus the models we can get are more reliable. The work of this paper will help laying the groundwork for further studying small scale inhomogeneities’ effect on the propagation of seismic wave.