Modeling porous layers in elastic media with a hybrid method

Abstract

A hybrid method which combines one-way approximation method and the propagator matrix method ( the full-wave solution ) is introduced and extended to including twophase media based on the equivalent propagator matrix of two-phase media derived in this paper. It can handle more complicated structure than one-way approximation method and the propagator matrix method used alone. It can handle strong heterogeneous and/or two-phase media layers embedded in arbitrarily weak heterogeneous media. Numerical examples show good agreement between one-way approximation method and the matrix method for weak heterogeneous media. By means of the hybrid method, the reflection seismograms in elastic solid and the transmission fields through two-phase media with different porosi ve and permeability, are modeled, respectively.