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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 54
Edited by: B.H.V. Topping
Paper X.2

Application of Porous Media Modelling with Finite Element Formulation Mixture Theory

I. Terlinden* and L. Laemmer+

*Institute for Numerical Methods and Informatics in Civil Engineering, University of Technology, Darmstadt, Germany
+Department of Mechanical and Chemical Engineering, Heriot-Watt University, Edinburgh, United Kingdom

Full Bibliographic Reference for this paper
I. Terlinden, L. Laemmer, "Application of Porous Media Modelling with Finite Element Formulation Mixture Theory", in B.H.V. Topping, (Editor), "Advances in Finite Element Procedures and Techniques", Civil-Comp Press, Edinburgh, UK, pp 275-282, 1998. doi:10.4203/ccp.54.10.2
Porous media models can be described by use of the theory of mixtures combined with the volume fraction concept (porous media theories), within the framework of a macroscopic formulation. Based on this concept, we will explore a general approach to porous media linear-elasticity for a binary system consisting of a linear-elastic solid matrix saturated by an incompressible viscous pore liquid. In the framework of the finite theory the concept generally leads to a geometrically and physically nonlinear problem. Transformation toward a weak formulation yields a matrix scheme of partial Differential-Algebraic Equations, which is solved by a singly diagonally implicit Runge-Kutta method.

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