2018
DOI: 10.1016/j.jhydrol.2018.05.001
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Recent advances in scalable non-Gaussian geostatistics: The generalized sub-Gaussian model

Abstract: Geostatistical analysis has been introduced over half a century ago to allow quantifying seemingly random spatial variations in earth quantities such as rock mineral content or permeability. The traditional approach has been to view such quantities as multivariate Gaussian random functions characterized by one or a few well-defined spatial correlation scales. There is, however, mounting evidence that many spatially varying quantities exhibit non-Gaussian behavior over a multiplicity of scales. The purpose of t… Show more

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Cited by 24 publications
(32 citation statements)
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“…In this context, experimental evidence at the laboratory scale (observation scale on the order 0.1-1.0 m) suggests that the mean value and the correlation length of the permeability field tend to increase with the size of the data support, the opposite trend being documented for the variance (e.g., Wilson, 1999a, b, 2000). Similar observations, albeit with some discrepancies, are also tied to investigations at larger scales (i.e., 10-1000 m) (Andersson et al, 1988;Guzman et al, 1994Guzman et al, , 1996Neumann, 1994;Schulze-Makuch and Cherkauer, 1998;Zlotnik et al, 2000). We consider here laboratory-scale permeability datasets which are associated with various measurement scales.…”
Section: Introductionsupporting
confidence: 64%
“…In this context, experimental evidence at the laboratory scale (observation scale on the order 0.1-1.0 m) suggests that the mean value and the correlation length of the permeability field tend to increase with the size of the data support, the opposite trend being documented for the variance (e.g., Wilson, 1999a, b, 2000). Similar observations, albeit with some discrepancies, are also tied to investigations at larger scales (i.e., 10-1000 m) (Andersson et al, 1988;Guzman et al, 1994Guzman et al, , 1996Neumann, 1994;Schulze-Makuch and Cherkauer, 1998;Zlotnik et al, 2000). We consider here laboratory-scale permeability datasets which are associated with various measurement scales.…”
Section: Introductionsupporting
confidence: 64%
“…Analyzing the hydrological processes is further challenged by the interconnectivity of the components. Applying basic statistical techniques oversimplifies the convolution involved in the intercorrelated hydrological sub-systems (Guadagnini et al 2018).…”
Section: Introductionmentioning
confidence: 99%
“…This lack of information propagates to uncertainty in our evaluations of reservoir performance and of the resulting oil recovery. A variety of studies framed in the context of a stochastic approach have been performed for single phase fluid flow and transport (e.g., Dagan, 1989;Gelhar, 1993;Dagan and Neuman, 1997;Zhang and Winter 1999;Sanchez-Vila et al, 2006;Guadagnini et al, 2018 and references therein). Here, we consider a two-phase flow setting taking place in a randomly heterogeneous (correlated) permeability field and study competitive effects on fractional flow due to (a) viscous and (b) gravity forces through a suite of detailed computational experiments.…”
Section: Introductionmentioning
confidence: 99%