Yuri Podladchikov, University of Lausanne
Direct numerical simulations and parametrization of Thermo-Hydro-Mechanical-Chemical fully coupled flows
Unavoidable upscaling from millimeters to hundreds of kilometers of subsurface flows of porous fluids requires validation by natural observations, laboratory or numerical experiments. We use hints from effective media relationships applied to homogenization of pore-scale models to develop fully coupled continuum models and investigate them at wide range of scales by systematic numerical simulations. The most important features of the solutions are the spontaneous development of spatial and temporal localization into traveling shock or solitary waves or self-similar spreading solutions typical for degenerate parabolic equations. We identify the key features of numerical solutions to collapse the numerical data to simple functional relationships between averaged properties of the flows essential for building of the upscaled models.