TY - JOUR
T1 - Conditional simulations of water-oil flow in heterogeneous porous media
AU - Chen, Mingjie
AU - Lu, Zhiming
AU - Zyvoloski, George A.
N1 - Funding Information:
The authors would like to acknowledge the funding from the oil shale project cooperated between Chevron Energy Technology Company and Los Alamos National Laboratory.
PY - 2008/6
Y1 - 2008/6
N2 - 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.
AB - 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.
KW - Conditional simulation
KW - Karhunen-Loève decomposition
KW - NAPL
KW - Uncertainty
KW - Water-oil flow
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U2 - 10.1007/s00477-007-0178-2
DO - 10.1007/s00477-007-0178-2
M3 - Article
AN - SCOPUS:42549132255
SN - 1436-3240
VL - 22
SP - 587
EP - 596
JO - Stochastic Environmental Research and Risk Assessment
JF - Stochastic Environmental Research and Risk Assessment
IS - 4
ER -