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Зарегистрирован: 31.12.69
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Отправлено: 13.06.16 07:38. Заголовок: An electrical conductivity model for fractal porous media
Geophysical Research Letters Volume 42, Issue 12 28 June 2015 Pages 4833–4840 Research Letter An electrical conductivity model for fractal porous media Authors Wei Wei, Jianchao Cai, Xiangyun Hu, Qi Han First published: 28 June 2015Full publication history DOI: 10.1002/2015GL064460View/save citation Cited by: 1 articleRefresh citation countCiting literature Article has an altmetric score of 1 Funding Information Abstract Archie's equation is an empirical electrical conductivity-porosity model that has been used to predict the formation factor of porous rock for more than 70 years. However, the physical interpretation of its parameters, e.g., the cementation exponent m, remains questionable. In this study, a theoretical electrical conductivity equation is derived based on the fractal characteristics of porous media. The proposed model is expressed in terms of the tortuosity fractal dimension (DT), the pore fractal dimension (Df), the electrical conductivity of the pore liquid, and the porosity. The empirical parameter m is then determined from physically based parameters, such as DT and Df. Furthermore, a distinct interrelationship between DT and Df is obtained. We find a reasonably good match between the predicted formation factor by our model and experimental data.
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