Geologic heterogeneity representation using high-order spatial cumulants for subsurface flow and transport simulations

The effects of geological heterogeneity representation on the hydraulic properties of two‐dimensional flow and transport simulations are studied using various stochastic simulation algorithms. An alternative multiple‐point method (HOSIM) on the basis of high‐order spatial cumulants and Legendre poly...

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Bibliographic Details
Published in:Water resources research 2011-08, Vol.47 (8), p.n/a
Main Authors: Mustapha, Hussein, Dimitrakopoulos, Roussos, Chatterjee, Snehamoy
Format: Article
Language:English
Subjects:
Algorithms
Aquifer systems
Aquifers
Complex systems
geologic heterogeneity
Geology
Geophysics
geostatistical simulation
Geostatistics
Groundwater flow
Heterogeneity
High performance computing
high-order spatial cumulants
Hydraulic permeability
Hydraulic properties
Legendre polynomials
Methods
Mineralogy
multiphase flow
Nonlinear systems
Permeability
Petrology
Physical properties
Random variables
Reservoirs
Rocks
Signal processing
Simulation
Solute transport
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Summary:The effects of geological heterogeneity representation on the hydraulic properties of two‐dimensional flow and transport simulations are studied using various stochastic simulation algorithms. An alternative multiple‐point method (HOSIM) on the basis of high‐order spatial cumulants and Legendre polynomials is used and compared to the multiple‐point FilterSIM method, and the sequential Gaussian simulation (SGS) method. Conditional realizations of a fluvial reservoir system are generated by HOSIM, FilterSIM, and SGS methods. Then, the simulated hydraulic permeability fields (K) are used in a numerical groundwater flow and solute transport models. Numerical results showed that the HOSIM method created greater connectivity in the reservoir/aquifer (channel) network than FilterSIM and SGS realizations. The numerical simulations show that in a reservoir/aquifer system with a strongly connected network of high‐K materials, the Gaussian and FilterSIM approaches are not as effective as HOSIM in reproducing this behavior. The simulations showed a good agreement between HOSIM realizations and the exhaustive reference image. Key Points A new high‐order stochatstic simulation method Hydraulic permeability simulation Flow
ISSN:0043-1397
1944-7973
DOI:10.1029/2010WR009515