Method of simulating the transmission rules of seismic waves in a TI medium

The invention provides a method of simulating the transmission rules of seismic waves in a TI medium, and belongs to the seismic prospecting field. The method includes the steps: firstly, determining a six-order matrix coefficient on the basis of a to-be-solved problem; secondly, solving the first-order speed, i.e., a stress equation; thirdly, solving a convolution differential operator in the second step; fourthly, calculating a window function coefficient, and conducting windowing cross cutting on the convolution differential operator; fifthly, setting the parameter, the epicenter parameter and the epicenter frequency of a model, and carrying out discretization on the model according to geological bodies; and sixthly, conducting time iteration, obtaining the speed and the stress value within a whole area, and ending a simulation process and outputting a wave field snapshot and an earthquake record if the setting time is up.