NDLI: Nonlinear two-point flux approximation for modeling full-tensor effects in subsurface flow simulations

Content Provider	Springer Nature Link
Author	Chen, Yuguang Mallison, Bradley T. Durlofsky, Louis J.
Copyright Year	2007
Abstract	Subsurface flow models can exhibit strong full-tensor anisotropy due to either permeability or grid nonorthogonality effects. Upscaling procedures, for example, generate full-tensor effects on the coarse scale even for cases in which the underlying fine-scale permeability is isotropic. A multipoint flux approximation (MPFA) is often needed to accurately simulate flow for such systems. In this paper, we present and apply a different approach, nonlinear two-point flux approximation (NTPFA), for modeling systems with full-tensor effects. In NTPFA, transmissibility (which provides interblock connections) is determined from reference global flux and pressure fields for a specific flow problem. These fields can be generated using either fully resolved or approximate global simulations. The use of fully resolved simulations leads to an NTPFA method that corresponds to global upscaling procedures, while the use of approximate simulations gives a method corresponding to recently developed local–global techniques. For both approaches, NTPFA algorithms applicable to both single-scale full-tensor permeability systems and two-scale systems are described. A unified framework is introduced, which enables single-scale and two-scale problems to be viewed in a consistent manner. Extensive numerical results demonstrate that the global and local–global NTPFA techniques provide accurate flow predictions over wide parameter ranges for both single-scale and two-scale systems, though the global procedure is more accurate overall. The applicability of NTPFA to the simulation of two-phase flow in upscaled models is also demonstrated.
Starting Page	317
Ending Page	335
Page Count	19
File Format	PDF
ISSN	14200597
Journal	Computational Geosciences
Volume Number	12
Issue Number	3
e-ISSN	15731499
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-01-23
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Two-point flux approximation (TPFA) Multipoint flux approximation (MPFA) Transmissibility Full-tensor permeability Heterogeneity Upscaling Multiscale Reservoir simulation Subsurface flow Soil Science & Conservation Hydrogeology Geotechnical Engineering Mathematical Modeling and Industrial Mathematics
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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