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Continuum Mechanics and Thermodynamics

, Volume 15, Issue 1, pp 73–95 | Cite as

Relaxation analysis and linear stability vs. adsorption in porous materials

  • Bettina Albers
Original Article

The paper presents a linear stability analysis of a 1D stationary flow through a poroelastic medium. This base flow is perturbed in four ways: by longitudinal (1D) disturbances without and with mass exchange and by transversal (2D) disturbances without and with mass exchange. The eigenvalue problem for the first step field equations is solved using a finite-difference-scheme. For both disturbances without mass exchange results are confirmed by an analytical solution. We present the stability and relaxation properties in dependence on the two most important model parameters, namely the bulk and surface permeability coefficients.

Key words: stability of geophysical flows, flows in porous media, linear waves 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Bettina Albers
    • 1
  1. 1.Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany DE

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