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Mathematical Problems in Engineering
Volume 2013, Article ID 589452, 8 pages
Research Article

Coupled Hydromechanical Model of Two-Phase Fluid Flow in Deformable Porous Media

Department of Civil Engineering, Chonbuk National University, Jeonju 561-756, Republic of Korea

Received 3 April 2013; Revised 13 August 2013; Accepted 15 August 2013

Academic Editor: Piermarco Cannarsa

Copyright © 2013 You-Seong Kim and Jaehong Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A model of solid-water-air coupling in triphasic mixtures is compared with solid-water coupling in biphasic mixtures with an application to partially saturated porous media. Based on thermodynamics, the mathematical framework governing the behavior of a partially saturated soil is derived using balance equations, and the numerical implementation and drainage tests of a soil column are carried out to validate the obtained formulations. The role of the air phase in the hydro-mechanical behavior of triphasic mixtures can be analyzed from the interactions among multiple phases for the constitutive behavior of a solid skeleton, and the triphasic mixture model can be applied in geotechnical engineering problems, such as sequestration and air storage in aquifers.