2011
DOI: 10.1007/s11242-011-9907-6
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Field Scale Characterization of Geological Formations Using Percolation Theory

Abstract: The connectivity of high conductivity pathways in geological formations depend on the spatial distribution of geological heterogeneities that may appear on various length scales. Appropriate modeling of this is crucial within in hydrology and petroleum systems. The approach taken in this study is to use percolation theory to quantify the connectivity, hydraulic conductivity, and breakthrough time behavior between an injector and a producer within such systems. In particular, a three-dimensional overlapping san… Show more

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Cited by 17 publications
(9 citation statements)
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“…Similar results were reported by Sadeghnejad et al. (2012) for field characterizations of conductivity in geologic formations.…”
Section: Discussionsupporting
confidence: 91%
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“…Similar results were reported by Sadeghnejad et al. (2012) for field characterizations of conductivity in geologic formations.…”
Section: Discussionsupporting
confidence: 91%
“…They utilized, however, the original form of the finite-size scaling analysis, Equation 4, to illustrate the collapse of their data. Similar results were reported by Sadeghnejad et al (2012) for field characterizations of conductivity in geologic formations.…”
Section: Discussionsupporting
confidence: 90%
“…They investigated the appropriate scaling plots to determine the scaling functions by computer simulations. Sadeghnejad et al () did the same to study the hydraulic conductivity K . Their analysis utilized the method described above, namely, plotting K L μ / ν versus ( p − p c ) L 1/ ν , in order to compute the scaling function for K .…”
Section: Percolation Theorymentioning
confidence: 99%
“…The two basic approaches can be divided according to the nature of the problem to be solved. When the focus is flow and transport in porous media that are essentially binary mixtures, such as sand or gravel within mud (Kolterman & Gorelick, ; Ramanathan et al, ; Sadeghnejad et al, ), then the scaling formulations of percolation are preferred (Lee et al, ; Makse et al, , ; Masihi et al, ; Sadeghnejad et al, ). In such more traditional subjects of percolation research, the scaling relationships describe the topology of the fluid‐carrying part of a porous medium.…”
Section: Distribution Of Hydraulic Conductivitymentioning
confidence: 99%
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