Generalization of Wave Motion and Applications to Porous Media

Abstract

The examination of wavw motions is traditionally based on the differential equation of D’Alambert, the solution of which describes the motion along a single dimension, while its bidimensional extension takes on the concept of plane waves. Considering these elements and/or limits, the research is divided into two parts: in the first are written the differential equations relating on the conditions two/three-dimensional for which the exact solutions are found; in the second the concepts are extended to the analisys of the propagation of wave motions in porous media both artificial and natural. In the end the work is completed by a series of tests, which show the high reliability of the phisycal-matematicals models proposed.

Keywords: d'Alambert; Wave Motions; Propagations One/Two/Three-Dimensional, Porous Media.

Published in: Geomaterials, 2013, n. 3, pp. 111-119

doi: 10.4236/gm.2013.33014 Online July 2013