Abstract: |
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Simulations of multi-scale multi-physics phenomena on geometrically complex domains such as porous media require high fidelity geometric discretization. Moreover, since multi-component multi-phase flow and transport in porous media usually come with strong nonlinearity and stiffness in multiple spatial and temporal scales, it is necessary to deploy a multi-scale approach that is inevitably memory-intensive and time-consuming, requiring high-performance computing infrastructure. We present an overview of recent advances in simulations of fluid and transport in porous media at Darcy’s scale, the pore scale and the molecular scale, as well as their coupling. We discuss the modeling and computational techniques for both conventional and unconventional petroleum reservoirs, in particular the non-Darcy flow in tight geological formation. Parallelization techniques for PDE-based simulations and for molecular simulations are also described. |
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