A finite element algorithm for parameter identification of material models for fluid saturated porous media

Mahnken, R. and Steinmann, P. (2001) A finite element algorithm for parameter identification of material models for fluid saturated porous media. International Journal for Numerical and Analytical Methods in Geomechanics, 25(5), pp. 415-434. (doi: 10.1002/nag.136)

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Abstract

In this contribution an algorithm for parameter identification of geometrically linear Terzaghi-Biot-type fluid-saturated porous media is proposed, in which non-uniform distributions of the state variables such as stresses, strains and fluid pore pressure are taken into account. To this end a least-squares functional consisting of experimental data and simulated data is minimized, whereby the latter are obtained with the finite element method. This strategy allows parameter identification based on in situ experiments. In order to improve the efficiency of the minimization process, a gradient-based optimization algorithm is applied, and therefore the corresponding sensitivity analysis for the coupled two-phase problem is described in a systematic manner. For illustrative purpose, the performance of the algorithm is demonstrated for a slope stability problem, in which a quadratic Drucker-Prager plasticity model for the solid and a linear Darcy law for the fluid are combined.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Mahnken, R., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:International Journal for Numerical and Analytical Methods in Geomechanics
Publisher:Wiley
ISSN:0363-9061
ISSN (Online):1096-9853
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