Application Of Diffuse Source Basis Functions To Multiscale Simulation
K. Nunna, C. Liu and M.J. King
Event name: ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery
Session: Multiscale Methods
Publication date: 03 September 2018
Info: Extended abstract, PDF ( 3.52Mb )
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1. We extend the diffuse source pressure transient upscaling approach to a multiscale framework where large scale changes in pressure are resolved on the coarse scale, and multiphase fluid transport simulation is performed on the fine scale using a subgrid velocity field generated from the coarse problem. This precludes the need to upscale saturations and relative permeability which are highly non-linear and strongly dependent upon flow history. This approach is similar to the multiscale mixed finite element literature where we have a basis function for each coarse face. 2. The formulation enables us to capture the subgrid heterogeneity and local connectivity by distinguishing between the weakly connected and well connected volumes from each coarse face. 3. The use of diffuse source basis functions also allows us to explore the localization effect and test if the local upscaling calculation is able to capture the global flow field without introducing any bias. 4. We also extend previously proposed time of flight flow diagnostics from incompressible flow to slightly compressible flow. 5. The approach is tested on the SPE10 synthetic reservoir model.