Wave Propagation in Semi-Infinite Porous Media

Abstract

The propagation and structure of a finite amplitude wave is studied in this paper. The characteristics of the soil structure are used for consideration of pressure (density, velocity, or temperature) disturbances in a volume containing porous medium. The exchange processes are considered for heat transfer in an integral form and for momentum exchange in the Darcy form. Because of the high interaction between the skeleton and internal gas the finite amplitude wave is largely dissipative. It is shown that during the wave propagation the wave amplitude will decrease with the distance by exponential curve. The analysis provides a basis for estimating the capabilities and efficiency of the implementation of the finite amplitude wave for diagnostic of geothermal reservoirs.