Mathematical Description of the Implementation of the Adaptive Newton-Raphson Method in Compositional Porous Media Flow
Abstract—Models for multiphase-multicomponent flow in porous media are described in systems of PDEs. Solving them using finite difference discretization method can be of three ways; explicit, semi-implicit, and fully implicit. In this study, we present the implementation of an adaptive Newton-Raph...
| Main Authors: | Aulia, Akmal, El-Khatib, Noaman A.F. |
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| Format: | Citation Index Journal |
| Institution: | Universiti Teknologi Petronas |
| Record Id / ISBN-0: | utp-eprints.4324 / |
| Published: |
IJENS Publishers
2010
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| Subjects: | |
| Online Access: |
http://eprints.utp.edu.my/4324/1/108406-7373_IJBAS-IJENS.pdf http://www.ijens.org/index.htm http://eprints.utp.edu.my/4324/ |
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| Summary: |
Abstract—Models for multiphase-multicomponent flow in
porous media are described in systems of PDEs. Solving them
using finite difference discretization method can be of three ways; explicit, semi-implicit, and fully implicit. In this study, we present the implementation of an adaptive Newton-Raphson method in the context of IMPECS (Implicit Pressures Explicit Concentrations and Saturations) method of solution. |
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