Conditional simulations of water-oil flow in heterogeneous porous media

Mingjie Chen*, Zhiming Lu, George A. Zyvoloski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

This study is an extension of the stochastic analysis of transient two-phase flow in randomly heterogeneous porous media (Chen et al. in Water Resour Res 42:W03425, 2006), by incorporating direct measurements of the random soil properties. The log-transformed intrinsic permeability, soil pore size distribution parameter, and van Genuchten fitting parameter are treated as stochastic variables that are normally distributed with a separable exponential covariance model. These three random variables conditioned on given measurements are decomposed via Karhunen-Loève decomposition. Combined with the conditional eigenvalues and eigenfunctions of random variables, we conduct a series of numerical simulations using stochastic transient water-oil flow model (Chen et al. in Water Resour Res 42:W03425, 2006) based on the KLME approach to investigate how the number and location of measurement points, different random soil properties, as well as the correlation length of the random soil properties, affect the stochastic behavior of water and oil flow in heterogeneous porous media.

Original languageEnglish
Pages (from-to)587-596
Number of pages10
JournalStochastic Environmental Research and Risk Assessment
Volume22
Issue number4
DOIs
Publication statusPublished - Jun 2008

Keywords

  • Conditional simulation
  • Karhunen-Loève decomposition
  • NAPL
  • Uncertainty
  • Water-oil flow

ASJC Scopus subject areas

  • Environmental Engineering
  • Environmental Science(all)
  • Environmental Chemistry
  • Water Science and Technology
  • Statistics and Probability
  • Civil and Structural Engineering

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