Generation and propagation of seismic SH waves in multi-layered media with irregular interfaces

This chapter is devoted to summarize the global generalized reflection/transmission matrices method developed by the author earlier for solving the generation and propagation of seismic SH wave in multi-layered media with irregular interfaces. This method is an extension or generalization of the classic generalized reflection/transmission coefficients method developed for solving the problem of seismic waves' generation and propagation in laterally homogeneous layered media. It can be directly applied to simulate the seismic SH wave field for a variety of complex structure models such as the irregular topography, basin, soft or hard inclusions, and laterally varying sub-surfaces, etc. These models are important for seismological study. Because of its analytical nature, this method is also successfully applied to establish the theoretical formulation of modes and surface wave in multi-layered media with irregular interfaces. Besides the systematic derivation of the theoretical formulation, a number of numerical examples are presented in this chapter to show the versatile applicability of this theoretical method.