Waves in a saturated porous half-space. Part 1

Abstract

It is substantiated that the problem formulated in the title plays a fundamental role in the rational interpretation of experiments on massive specimens. These experiments are intended for studying waves excited by a short-term harmonic pulse. The problem for a porous saturated medium is a direct analogy of the problem previously solved for composite materials. The procedure of solving the problem based on the Laplace time transform is described. An analysis of the integrands in the inverse transform is nontrivial and cannot be stated briefly. Therefore, Part 1 closes with general comments on the inverse transform. Part 2 will include a detailed description of the inverse transform and many physical conclusions: on conformity of the stationary part of the solution to plane harmonic compression–tension waves with frequency of the given harmonic pulse, on attenuation of all types of waves, and on two types of nonstationary waves