How to deal with nonlinearities in complex subsurface flow

The nonlinear nature of complex flow and transport in porous media requires a linearization of governing equations for the numerical solution. I am going to present a recently developed linearization strategy, capable to deal with complex nonlinear problems. This approach approximates exact physics of simulation model which is conceptually similar to an approximate representation of space and time discretization performed in conventional simulation. I present a resolution study in parameter space for a highly heterogeneous reservoirs and different physical kernels including complex thermal-compositional description. In this study, each level of coarsening in physical representation improves the performance of simulation due to more linear approximation of original physics. I will discuss ongoing developments and possible extensions of the proposed methodology.

Denis Voskov