An Eulerian-Lagrangian Solution Technique for Single-Phase Compositional Flow in Three-Dimensional Porous Media

Hong Wang; Weidong Zhao; R. E. Ewing; M. Al-Lawatia; M. S. Espedal; A. S. Telyakovskiy

doi:10.1016/j.camwa.2006.10.005

An Eulerian-Lagrangian Solution Technique for Single-Phase Compositional Flow in Three-Dimensional Porous Media

Hong Wang^*, Weidong Zhao, R. E. Ewing, M. Al-Lawatia, M. S. Espedal, A. S. Telyakovskiy

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We develop an Eulerian-Lagrangian iterative solution technique for accurate and efficient numerical simulation of single-phase compositional flow through three-dimensional compressible porous media in the presence of multiple injection and production wells. In the numerical simulator, an Eulerian-Lagrangian method is used to solve the convection-diffusion transport equations and a mixed finite-element method is used to solve the pressure equation. Numerical experiments are presented to investigate the performance of the method. Moreover, because of the Lagrangian nature of the algorithm, the simulator is capable of using large time steps and coarse spatial grids to generate accurate and stable results.

Original language	English
Pages (from-to)	607-624
Number of pages	18
Journal	Computers and Mathematics with Applications
Volume	52
Issue number	5
DOIs	https://doi.org/10.1016/j.camwa.2006.10.005
Publication status	Published - Sept 2006

Keywords

Characteristic method
Compositional flow
Eulerian-Lagrangian method
Petroleum reservoir simulation
Porous medium flow

ASJC Scopus subject areas

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2006.10.005

Cite this

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title = "An Eulerian-Lagrangian Solution Technique for Single-Phase Compositional Flow in Three-Dimensional Porous Media",

abstract = "We develop an Eulerian-Lagrangian iterative solution technique for accurate and efficient numerical simulation of single-phase compositional flow through three-dimensional compressible porous media in the presence of multiple injection and production wells. In the numerical simulator, an Eulerian-Lagrangian method is used to solve the convection-diffusion transport equations and a mixed finite-element method is used to solve the pressure equation. Numerical experiments are presented to investigate the performance of the method. Moreover, because of the Lagrangian nature of the algorithm, the simulator is capable of using large time steps and coarse spatial grids to generate accurate and stable results.",

keywords = "Characteristic method, Compositional flow, Eulerian-Lagrangian method, Petroleum reservoir simulation, Porous medium flow",

author = "Hong Wang and Weidong Zhao and Ewing, {R. E.} and M. Al-Lawatia and Espedal, {M. S.} and Telyakovskiy, {A. S.}",

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T1 - An Eulerian-Lagrangian Solution Technique for Single-Phase Compositional Flow in Three-Dimensional Porous Media

AU - Wang, Hong

AU - Zhao, Weidong

AU - Ewing, R. E.

AU - Al-Lawatia, M.

AU - Espedal, M. S.

AU - Telyakovskiy, A. S.

PY - 2006/9

Y1 - 2006/9

N2 - We develop an Eulerian-Lagrangian iterative solution technique for accurate and efficient numerical simulation of single-phase compositional flow through three-dimensional compressible porous media in the presence of multiple injection and production wells. In the numerical simulator, an Eulerian-Lagrangian method is used to solve the convection-diffusion transport equations and a mixed finite-element method is used to solve the pressure equation. Numerical experiments are presented to investigate the performance of the method. Moreover, because of the Lagrangian nature of the algorithm, the simulator is capable of using large time steps and coarse spatial grids to generate accurate and stable results.

AB - We develop an Eulerian-Lagrangian iterative solution technique for accurate and efficient numerical simulation of single-phase compositional flow through three-dimensional compressible porous media in the presence of multiple injection and production wells. In the numerical simulator, an Eulerian-Lagrangian method is used to solve the convection-diffusion transport equations and a mixed finite-element method is used to solve the pressure equation. Numerical experiments are presented to investigate the performance of the method. Moreover, because of the Lagrangian nature of the algorithm, the simulator is capable of using large time steps and coarse spatial grids to generate accurate and stable results.

KW - Characteristic method

KW - Compositional flow

KW - Eulerian-Lagrangian method

KW - Petroleum reservoir simulation

KW - Porous medium flow

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DO - 10.1016/j.camwa.2006.10.005

M3 - Article

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SN - 0898-1221

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EP - 624

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

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ER -

An Eulerian-Lagrangian Solution Technique for Single-Phase Compositional Flow in Three-Dimensional Porous Media

Abstract

Keywords

ASJC Scopus subject areas

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