Compaction generally refers to the relative motion of fluid with respect to the deformable surroundings in a two-phase system. It has many geophysical and engineering applications, including liquefaction, formation of magma chamber, genesis of igneous rocks, foam drainage, and flow in sediments. In this paper, we followed McKenzie's two-phase flow formulation (1984) to study the flow through a porous medium, which is a commonly used model for compaction study. Using the same approach as Barcilon and Lovera (1989), we studied the wave solution with and without melting effect, under the assumption that the ambient porosity is small. Similarity waves were of particular interest here. We discussed the necessary conditions for a specific class of similarity waves to exist, followed by the general behavior of such waves and numerical determination of the solution for several cases. Parametric studies were also carried out to invstiage the dependence of the solution on factors such as the melting rate, the density ratio, and the permeability of the solid matrix, etc.
Publisher
Department of Theoretical and Applied Mechanics (UIUC)
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