Subsurface formations that arise in the simulation of gas-injection processes for enhanced oil recovery may exhibit geometrically complex features with complicated large-scale connectivity. They must be included in simulations of flow and transport because they can fundamentally impact simulation results. However, to reduce computational costs, simulations are generally performed on grids that are coarse compared to the given geocellular grids, so accurate upscaling is required.
In this work we are concerned with transmissibility upscaling. In the presence of full-tensor effects, multi-point flux approximations (MPFA) are desirable for the sake of accuracy, as opposed to two-point flux approximations (TPFA). However, MPFA methods add computational costs and may suffer from non-monotonicity (see [5]).
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Lambers, J.V. (2009). Coarse-scale Modeling of Flow in Gas-injection Processes for Enhanced Oil Recovery. In: Engquist, B., Lötstedt, P., Runborg, O. (eds) Multiscale Modeling and Simulation in Science. Lecture Notes in Computational Science and Engineering, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88857-4_9
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