Micromechanical Analysis of Saturated Porous Media with Local Mass Exchange Phenomenon
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The note presents some results concerning mechanical and transport properties of saturated porous media. The attention is paid for phenomenon of local mass exchange due to a sorption process as well as its effect on transport and mechanical properties of porous medium. The results are obtained through a micro-macro passage, i.e. by a systematic use of the asymptotic expansion technique. The gas flow through a rigid skeleton with simultaneous sorption process is investigated first. The analysis is then extended for the case of a gas flow through a deformable porous skeleton. It is pointed out that the macroscopic description for the both cases studied exhibits a strong memory effect. A mathematical form of the memory function is presented for a particular microstructure. The reciprocal relations between the overall material constants, involved in the description derived, end the paper.
KeywordsPorous Medium Asymptotic Expansion Local Problem Sorption Isotherm Memory Function
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