Journal of Applied Mathematics
Volume 2013 (2013), Article ID 456931, 13 pages
Research Article

Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method

Laboratoire PRISME, EA4229, Polytech Orléans, 8 rue Léonard de Vinci, 45072 Orléans Cedex 2, France

Received 12 February 2013; Revised 30 May 2013; Accepted 3 June 2013

Academic Editor: Ga Zhang

Copyright © 2013 Duc Phi Do and Dashnor Hoxha. 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.


The present work aims to study the nonlinear effective thermal conductivity of heterogeneous composite-like geomaterials by using a numerical approach based on the immersed interface method (IIM). This method is particularly efficient at solving the diffusion problem in domains containing inner boundaries in the form of perfect or imperfect interfaces between constituents. In this paper, this numerical procedure is extended in the framework of non linear behavior of constituents and interfaces. The performance of the developed tool is then demonstrated through the studies of temperature- and pressure-dependent effective thermal conductivity of geomaterials with imperfect interfaces.