Generalization of Wave Motions and Application to Porous Media

Romolo Di Francesco

Wizard Technology, Teramo, Italy.

DOI: 10.4236/gm.2013.33014                

Abstract

The examination of wave 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 analysis 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 physical-mathematical models proposed.

Keywords

D’Alambert; Wave Motions; Propagation One/Two/Three-Dimensional; Porous Media

Conflicts of Interest

The authors declare no conflicts of interest.

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