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Multi-Scale Modeling of Chemo-Hydro-Mechanical Analysis of Heterogeneous Porous Media

Adeli, Mohammad Hesan | 2023

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 55866 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Khoei, Amir Reza
  7. Abstract:
  8. The swelling phenomenon in the porous media causes many problems in various engineering issues, including foundation construction and oil and gas extraction. For this reason, in the last few decades, flow modeling in reactive porous media and investigation of coupled hydro-chemo-mechanical problems have attracted a lot of attention. On the other hand, despite the simplifications, porous media have a heterogeneous structure, and the numerical modeling of these heterogeneities directly increases the computational costs. A suitable method for modeling heterogeneous problems is the computational homogenization method. In this method, the problem is solved in two scales in a correlated manner and the behavior of the macroscopic scale is obtained through the homogenization of the behavior of the material on the microscopic scale. The heterogeneities of the problem are also modeled at the micro-scale. The purpose of this research is multi-scale flow modeling in heterogeneous reactive porous media based on the first-order homogenization method. In this method, the energy compatibility between two scales is established based on the generalization of the Hill-Mendel relationship. Also, to discretize the governing equations in both scales, the finite element and Newmark methods are used, and then these equations are linearized using the Newton-Raphson method. In the modeling, the effect of chemical potential differences on the establishment of flow in the environment and its swelling has been investigated. Also, by changing the meshing size of the problem on a macro scale and comparing its results with direct numerical simulation, the effectiveness of the multi-scale method has been evaluated
  9. Keywords:
  10. Heterogeneous Porous Media ; Computational Homogenization ; Multiscale Method ; Finite Element Method ; Reactive Soils ; Multiscale Modeling ; Newton-Raphson Method ; Soil Swelling

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