Shock waves in saturated thermoelastic porous media

Shaul Sorek, Jacob Bear, Gabi Ben-Dor, Gedalia Mazor

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

The objective of this paper is to develop and present the macroscopic motion equations for the fluid and the solid matrix, in the case of a saturated porous medium, in the form of coupled, nonlinear wave equations for the fluid and solid velocities. The nonlinearity in the equations enables the generation of shock waves. The complete set of equations required for determining phase velocities in the case of a thermoelastic solid matrix, includes also the energy balance equation for the porous medium as a whole, as well as mass balance equations for the two phase. In the special case of a rigid solid matrix, the wave after an abrupt change in pressure propagates only through the fluid.

Original languageEnglish
Pages (from-to)3-13
Number of pages11
JournalTransport in Porous Media
Volume9
Issue number1-2
DOIs
StatePublished - 1 Oct 1992

Keywords

  • Mass, momentum and energy
  • abrupt pressure change
  • nonlinear waves
  • saturated thermoelastic porous media

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