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Etude numérique de la propagation des ondes mécaniques dans un milieu poreux en régime impulsionnel

Abstract : The aim of this research consists in studying numerically the mechanical wave propagation in a two-phase porous continuum in the time domain. A finite element code allowing the simulation and the analysis of the mechanical behaviour is developed for this purpose.

A preliminary study presents some general characters of the poroviscoelastic concept of medium, in the Biot theory as in mechanical wave propagation. An outcome, encountered in the literature, shows the necessity of complementary investigation using the whole two-phase porous continuum in the time domain.

A finite element approach within the framework of the complete Biot theory is proposed. The characteristics of the numerical tool developed are specified. Particularly, the C++ objet oriented programming gives a low-sized solver organised in three interchangeable classes. Moreover, a previous semi-analytical work
provides the dispersion and attenuation relationships, as well as the exact determination of the wave celerities.

Applications deal with porous soils: the time domain displacements of the solid and the fluid phases over and within the porous semi-infinite ground are obtained for two-dimensional problems.
Parametric studies of the mechanical couplings are carried out. The compressional wave of the second kind is highlighted. A first approach of heterogeneous or partially saturated soils is also proposed.

The study of three-dimensional cases is then considered. The important numerical size of this kind of problems requires the parallelization of the code. Tests on various supercomputers are carried out in order to measure the performance of parallel computing and lead to three-dimensional results.
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Contributor : Arnaud Mesgouez <>
Submitted on : Tuesday, October 31, 2006 - 1:47:50 PM
Last modification on : Sunday, June 7, 2020 - 2:50:48 AM
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  • HAL Id : tel-00110663, version 1
  • PRODINRA : 330845

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Arnaud Mesgouez. Etude numérique de la propagation des ondes mécaniques dans un milieu poreux en régime impulsionnel. Mécanique [physics.med-ph]. Université d'Avignon, 2005. Français. ⟨tel-00110663⟩

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