Two Phase Fluid Flow Modeling in Deforming Porous Media Using XFEM Technique

Farrokhpour, Leila | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 42199 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Khoei, Amir Reza
  7. Abstract:
  8. Geotechnical problems behavior depends on their interaction with existed fluid phases in their voids. In this research three phase porous media is introduced and it’s governing equations is presented. For solving this set of fully coupled dynamic equations finite element method is applied using elements with displacement and pressure degrees of freedom. Essential drawback of FEM method is in discontinuities modeling. In solid mechanic problems, discontinuity may occur in displacement field, such as crack or contact problems, or in their derivatives, such as multi-material problems. Major soil structures include some internal regions that there are some meshing problems during their FEM solutions. In order to solve this problem, some methods have been proposed which XFEM is one of the most new ones. In this research the extended FEM method is used to discretize the governing coupled equations of unsaturated soils within the framework of generalized Biot’s theory. In order to model the discontinuities, the X-FEM is used based on the modified level set method, which introduces additional degrees-of-freedom to the discontinuous elements. Finally several examples is presented using FEM and XFEM solving methods
  9. Keywords:
  10. Unsaturated Porous Media ; Extended Finite Element Method ; Dynamic Analysis ; Finite Element Method

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