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Influence of coordination number and percolation probability on rock permeability estimation
Author(s) -
Fauzi U.,
Hoerdt A.,
Neubauer F. M.
Publication year - 2002
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2001gl013414
Subject(s) - permeability (electromagnetism) , percolation threshold , coordination number , porosity , porous medium , percolation theory , percolation (cognitive psychology) , statistical physics , probability distribution , point estimation , mathematics , geology , statistics , mathematical optimization , geotechnical engineering , physics , topology (electrical circuits) , electrical resistivity and conductivity , chemistry , combinatorics , biochemistry , neuroscience , membrane , ion , quantum mechanics , biology
Estimation of permeability from image sections can be conducted by means of Local Porosity Theory (LPT) and the effective medium approximation (EMA). Using these approaches, the coordination number that is important for rock modeling is included. In this paper, we extend the EMA approach by considering the percolation probability as an additional parameter. Both equations show that permeability will be higher as coordination number as well as percolation probability increases. The permeability increases most rapidly close to the percolation threshold. Several thin sections of sandstone were created by digital image analysis. Two Point Correlation Functions were applied to estimate porosity and specific surface area. Permeability distribution as an input to EMA was created from the local permeability. The effective permeability was then calculated from the EMA equation iteratively. The result shows that considering coordination number and percolation probability will improve permeability estimation.