Body Force and Fluid Source Equivalents for Dynamic Dislocations in Fluid-Saturated Porous Media

Abstract

In this study, an explicit expression is derived for body forces and fluid sources equivalent to a general dynamic dislocation in a fluid-saturated porous medium. The components of the source discontinuity vector across the source plane to represent dynamic point dislocations are found by using the surface vector harmonics. Furthermore, we demonstrate that point forces, couples, simple fluid sources, and fluid dipoles can be conversely replaced by point dislocations acting across the horizontal plane. It is shown that the discontinuity in the components of the generalized stress-displacement vector for representing these point sources agrees with those found in our previous research, and thus, the validity of our results for equivalent body forces and fluid sources is examined. With these equivalent body forces and fluid sources, the wave fields in stratified fluid-saturated porous solids can be evaluated by using the reflection and transmission matrix method.