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Solutions fondamentales en Géo-Poro-Mécanique multiphasique pour l'analyse des effets de site sismiques

Abstract : The purpose of this dissertation is to develop a boundary element method (BEM) for multiphase porous media. Nowadays, the application of the BEM for solving problems of unsaturated porous media is still limited, because no fundamental solution exists in the published literature, neither in the frequency nor time domain. This fact rises from the complexity of the coupled partial differential equations governing the behaviour of such media. The developments of the BEM for the unsaturated soils carried out during this thesis are based on the thermo-hydro-mechanical (THHM) and hydro-mechanical (HHM) models presented in the first part of this dissertation. These phenomenological models are presented based on the experimental observations and with respect to the poromechanics theory within the framework of the suction-based mathematical model presented by Gatmiri (1997) and Gatmiri et al. (1998). After having presented the THHM and HHM models, for the first time, one establishes the boundary integral equations (BIE) and the associated fundamental solutions for the unsaturated porous media subjected to quasi-static loading for both isothermal (2D in the Laplace transform domain) and non-isothermal (2D and 3D in Laplace transform and time domains) cases. Also, the boundary integral equations as well as the fundamental solutions (2D and 3D in the Laplace transform domain) are obtained for the fully coupled dynamic model of unsaturated soils.In the next step, the boundary element formulations (BEM) based on the convolution quadrature method (CQM) regarding the saturated and unsaturated porous media subjected to isothermal quasi-static and dynamic loadings are implemented via the computer code HYBRID. Having integrated the BEM formulations for the wave propagation, as well as the consolidation problems in the saturated and unsaturated porous media, it seems that now the first boundary element code is obtained that can model the various problems in dry, saturated and unsaturated soils. Once the code is verified and validated, parametric studies on seismic site effects are carried out. The aim is to achieve a simple criterion directly usable by engineers, combining the topographical and geological characteristics of the soil, to predict the amplification of acceleration response spectra in sedimentary as well as hollow valleys
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Pooneh Maghoul. Solutions fondamentales en Géo-Poro-Mécanique multiphasique pour l'analyse des effets de site sismiques. Géotechnique. Université Paris-Est, 2010. Français. ⟨NNT : 2010PEST1074⟩. ⟨tel-00599397⟩

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