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Modified Sequential Fully Implicit Scheme for Compositional Flow Simulation

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The Fully Implicit Method (FIM) is widely employed for general-purpose reservoir simulation. However, in the Multi-Scale Finite-Volume (MSFV) approach, sequential strategies are used to couple flow (pressures and velocities) and transport (saturations/compositions), that is, either Implicit Pressure Explicit Saturation (IMPES) or Sequential Fully Implicit (SFI) integration schemes. For problems with tightly coupled nonlinear interactions between flow and transport in multiphase, multi-component systems, the SFI approach may require many more Newton iterations, and/or smaller time steps compared with FIM .

We analyzed the nonlinear coupling between flow and transport for multiphase, multi-component systems that involve significant compressibility effects and interphase mass transfer. Therefore we isolated the nonlinear effects related to transmissibility and compressibility from those due to interphase mass transfer. It could be demonstrated that when the convergence rate of the FIM is far superior to that of SFI integration, there exist large differences between the spectra of the SFI and FIM operators. Based on these findings we propose a modified SFI scheme, that is, the SFIM method, whereby the SFI operator is complemented with a local approximation of the pressure-saturation coupling terms. We show across a wide parameter range that this SFIM algorithm has convergence properties that are close to those of FIM and consistently better than those of SFI . Black-oil and compositional systems in depletion and compression settings are presented and discussed.

This talk is part of the Institute for Energy and Environmental Flows (IEEF) series.

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