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...

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Main Authors: Aulia, Akmal, El-Khatib, Noaman A.F.
Format: Citation Index Journal
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.4324 /
Published: IJENS Publishers 2010
Subjects:
TN Mining engineering. Metallurgy
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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spelling utp-eprints.43242017-03-20T05:54:24Z Mathematical Description of the Implementation of the Adaptive Newton-Raphson Method in Compositional Porous Media Flow Aulia, Akmal El-Khatib, Noaman A.F. TN Mining engineering. Metallurgy 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. IJENS Publishers 2010-12 Citation Index Journal NonPeerReviewed application/pdf http://eprints.utp.edu.my/4324/1/108406-7373_IJBAS-IJENS.pdf http://www.ijens.org/index.htm Aulia, Akmal and El-Khatib, Noaman A.F. (2010) Mathematical Description of the Implementation of the Adaptive Newton-Raphson Method in Compositional Porous Media Flow. [Citation Index Journal] http://eprints.utp.edu.my/4324/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
topic TN Mining engineering. Metallurgy
spellingShingle TN Mining engineering. Metallurgy
Aulia, Akmal
El-Khatib, Noaman A.F.
Mathematical Description of the Implementation of the Adaptive Newton-Raphson Method in Compositional Porous Media Flow
description 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.
format Citation Index Journal
author Aulia, Akmal
El-Khatib, Noaman A.F.
author_sort Aulia, Akmal
title Mathematical Description of the Implementation of the Adaptive Newton-Raphson Method in Compositional Porous Media Flow
title_short Mathematical Description of the Implementation of the Adaptive Newton-Raphson Method in Compositional Porous Media Flow
title_full Mathematical Description of the Implementation of the Adaptive Newton-Raphson Method in Compositional Porous Media Flow
title_fullStr Mathematical Description of the Implementation of the Adaptive Newton-Raphson Method in Compositional Porous Media Flow
title_full_unstemmed Mathematical Description of the Implementation of the Adaptive Newton-Raphson Method in Compositional Porous Media Flow
title_sort mathematical description of the implementation of the adaptive newton-raphson method in compositional porous media flow
publisher IJENS Publishers
publishDate 2010
url http://eprints.utp.edu.my/4324/1/108406-7373_IJBAS-IJENS.pdf
http://www.ijens.org/index.htm
http://eprints.utp.edu.my/4324/
_version_ 1741196075109187584
score 11.62408

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