WIAS Preprint No. 579, (2000)

Two notes on continuous modelling of porous media


  • Wilmanski, Krzysztof
  • Albers, Bettina
    ORCID: 0000-0003-4460-9152

2010 Mathematics Subject Classification

  • 76S05 73B05


  • porous media, objectivity, consolidation


  1. The first note is devoted to the problem of objectivity of momentum sources in two-component models of porous materials. It is shown that the so-called relative acceleration cannot contribute to these sources in an objective manner. This argument as well as an analysis of an order of magnitude of various contributions yield the conclusion that an added mass in Biot's model should be neglected.
  2. The second note contains an explicit solution of a one-dimensional consolidation problem. Its aim is to create a bench-mark program for various numerical codes of two-dimensional consolidation problems.

Appeared in

  • Rational Continua, Classical and New, P. PODIO-GUIDUGLI, M. BROCATO (eds.), 183-195, Springer-Verlag, Italia Srl, Milano, 2003

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