Micromechanical Analysis of Saturated Porous Media with Local Mass Exchange Phenomenon
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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