Modeling of seismic wave propagation during an earthquake in complex heterogeneous media

The direct dynamic problem of elasticity theory is solved numerically taking into account the energy dissipation caused by viscous (internal) friction, which models the formation and propagation of seismic waves from earthquakes. The problem is written in the form of dynamic equations of elasticity theory in terms of components of displacement and stress velocities for a two-dimensional Cartesian coordinate system. An effective algorithm for solving this direct dynamic problem of seismics is proposed. The numerical solution of the problem is based on the method of combining the analytical Laguerre transform and the finite-difference method. Numerical results of modeling seismic wave fields for a realistic model of the Baikal rift zone media are presented.