Major Program of National Natural Science Foundation of China, No. 11232003, 2013.1-2017.12
Fluid-saturated porous media exist widely in engineering practice. These materials are highly heterogeneous and their physico-mechanical properties may change dramatically with positions, their mechanical behaviors at different levels and scales and their relationships thus should be considered simultaneously in the mechanical analysis. Moreover, due to the coupling interactions between solid and fluid phases, many challenging problems may be encountered in their multilevel mechanical analysis as compared to single phase media, such as, the construction of the consistent multilevel analysis method, the concurrent downscaling computational method and the multilevel computational method considering the effect of dynamics and nonlinearity of solid skeleton for the fluid-solid coupling problem, etc. To address these problems, the fundamental theories and computational methods towards the quasi-static, dynamic and nonlinear multilevel analysis for fluid-saturated porous media will be studied in this project. The main purpose of the project is to develop key theories and methods for the contruction of the related theoretical models and numerical algorithms. The project also aims at the research and development of effective numerical simulation softwares for the multilevel analysis of fluid-saturated porous media. The outcomes of the project will advance the thorough study of theories and methods for related problems.