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

Research output: Contribution to journalArticle

9 Citations (Scopus)


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 languageEnglish
Pages (from-to)607-624
Number of pages18
JournalComputers and Mathematics with Applications
Issue number5
Publication statusPublished - Sep 2006



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

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

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