Constitutive equation of a gas-filled two-phase medium
A set of equations governing the consolidation of a two-phase medium consisting of a porous elastic skeleton saturated with a highly compressible liquid (gas), is described. The homogenization method was utilized to deduce the equations. For the equivalent macroscopic medium, mass and momentum conservation equations and the flow equation of pore liquid are presented. Sample material constants were calculated using laboratory test results which were carried out at the Institute of Geotechnics, Technical University of Wroclaw.
Key wordsConstitutive equation consolidation homogenization two-phase medium
Unable to display preview. Download preview PDF.
- Auriault, J. L., Strzelecki, T., Bauer, J., He S., 1990, Porous deformable media saturated by a very compressible fluid: quasi-static,Eur. J. Mech., A/Solids 9, 373–392.Google Scholar
- Bauer, J., Gergowicz, Z., and Kaczmarek, J., 1987, Etablissement des constantes du modelé modifie de Biot décrivant les charbons gazeiferes,2 eme Colloque Franco-Polonais de Géotechnique, Nancy, 89–108.Google Scholar
- Biot, M. A., 1941, General theory of three dimensional consolidation,J. Appl. Phys. 12, 115.Google Scholar
- Bensoussan, A., Lions, J.-L., and Papanicolaou, G., 1978,Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam.Google Scholar
- Sanchez-Palencia, E., 1980,Nonhomogeneous Media and Vibration Theory, Springer-Verlag, New York.Google Scholar