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2019 | OriginalPaper | Chapter

A Fully-Implicit, Iterative Scheme for the Simulation of Two-Phase Flow in Porous Media

Authors : Anna Kvashchuk, Florin Adrian Radu

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2017

Publisher: Springer International Publishing

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Abstract

In this work, we present a new implicit scheme for two-phase flow in porous media. The proposed scheme is based on the iterative IMPES (IMplicit Pressure Explicit Saturation) method and, therefore, preserves its efficiency in treatment of nonlinearities, while relaxing the time step condition common for explicit methods. At the same time, it does not involve costly computation of Jacobian matrix required for generic Newtons type methods.
Implicit treatment of capillary pressure term ensures the stability and convergence properties of the new scheme. This choice of stabilization is supported by mathematical analysis of the method which also includes the rigorous proof of convergence.
Our numerical results indicate that the scheme has superior performance compared with standard IMPES and fully implicit methods on benchmark problems.

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previous chapter A Numerical Method for an Inverse Problem Arising in Two-Phase Fluid Flow Transport Through a Homogeneous Porous Medium
next chapter Mass Lumping for MHFEM in Two Phase Flow Problems in Porous Media
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Metadata
Title
A Fully-Implicit, Iterative Scheme for the Simulation of Two-Phase Flow in Porous Media
Authors
Anna Kvashchuk
Florin Adrian Radu
Copyright Year
2019
Book
Numerical Mathematics and Advanced Applications ENUMATH 2017

Print ISBN: 978-3-319-96414-0

Electronic ISBN: 978-3-319-96415-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-96415-7_57

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