ON THE THERMOELASTICITY OF MULTICOMPONENT FLUID-SATURATED REACTING POROUS-MEDIA

A soil mechanics oriented theory of thermoelasticity is derived for a porous medium containing a multicomponent immiscible fluid, by using the theory of mixtures, in which mass reaction effects between the constituents of the mixture are considered. The main difference between the present theory and those previously published is that, it takes into account both solid-fluid and fluid-fluid interfacial effects, so that theoretical results agree with experimental observations for materials like gas- and liquid-filled porous media. A quasi-linear representation of the general non-linear theory is given in which, heat convection is included. The various phenomenological coefficients involved in the model are identified with measurable physical quantities by a systematic method. Attention is focused on two special cases: a porous medium with double porosity, and gas- and liquid-filled porous media. The field equations governing the consolidation problem in porous media with double porosity are described and the dynamic equations for the gas-liquid-solid mixture are also given.