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Loi d'Archie dans les micromodèles

Abstract : In 1942 Archie introduced an empirical law for the conductivity in rocks and since then it is widely used in oil industry and geophysics. In oil industry conductivity measurements helps to estimate the quantity of oil present in oil fields. At present time it is considered to be valid on a specific rocks with biggest divergences observed in the oil-wet or mixed-wet rocks. In present thesis we study the theoretical basis of Archie's law and perform an experimental research. One of the approach to validate the Archie's law is to use the percolation theory, which states a law for the conductivity of infinite random lattices of resistances. This law given by the percolation theory has limited region of validity with ambiguous boundaries. In order to establish these boundaries for three dimensional lattices we performed a numerical simulations on large cubic random resistor networks. The microfluidic networks (called micromodels in the oil industry jargon) are well controlled bidimensional models of porous media. Historically, they helped to better understand the propagation of oil water fronts in porous media. In this thesis we performed conductivity measurements and altered wettability of micromodels in order to perform the first experimental analysis of electric conductivity in well controlled models of porous media. In all cases that we consider, the evolution of the conductivity with the conductive fluid fraction clearly reveals the presence of percolation thresholds, signaling that as the fraction of the conductive fluid decreases below some critical value, there is no more conductive pathways joining the electrodes. This feature is overlooked by the Archie's law.
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Submitted on : Tuesday, February 12, 2013 - 11:50:06 AM
Last modification on : Thursday, December 16, 2021 - 3:58:23 AM
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  • HAL Id : pastel-00787506, version 1


Boris Kozlov. Loi d'Archie dans les micromodèles. Géophysique [physics.geo-ph]. Université Pierre et Marie Curie - Paris VI, 2012. Français. ⟨pastel-00787506⟩



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