Scale-dependent permeability and formation factor in porous media: Applications of percolation theory
نویسندگان
چکیده
Understanding porous media properties and their scale dependence have been an active subject of research in the past several decades hydrology, geosciences petroleum engineering. The flow is attributed to small- large-scale heterogeneities, such as pore size distribution, connectivity, long-range correlations, fractures faults orientations, spatial temporal variations. main objective this study was investigate how permeability (k) formation factor (F) vary with sample dimension at small scales by means a combination pore-network modeling percolation theory. For purpose, were simulated twelve three-dimensional networks different levels pore-scale heterogeneities. Simulations carried out five network sizes, i.e., 1130, 2250, 3380, 4510 6770 µm. Four theoretical models developed based on theory estimate from pore-throat radius distribution. In addition, two other scale-dependent proposed distribution and/or factor. Comparing estimations numerical simulations showed that estimated reasonably. calculated relative error (RE) ranged between ?3.7 3.8% for 0.21 4.04% studied pore-networks.
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ژورنال
عنوان ژورنال: Fuel
سال: 2021
ISSN: ['0016-2361', '1873-7153']
DOI: https://doi.org/10.1016/j.fuel.2021.121090