Nonlinear acceleration waves in porous media

  • Authors:

  • B. Straughan

  • Affiliations:

  • Department of Mathematical Sciences, Durham University, Durham DH1 3LE, UK

  • Venue:
  • Mathematics and Computers in Simulation
  • Year:
  • 2009

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Abstract

We review three theories explaining why waves in a diffusion problem can travel with a finite speed. We then briefly look at a class of equivalent fluid theories for sound propagation in porous media. Finally, we derive a Cattaneo model for an elastic material containing a distribution of voids. Nonlinear acceleration wave motion in such a class of materials is also considered.