Upscaling of Nonwetting Phase Residual Transport in Porous Media: A Network Approach |
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Authors: | Ahmadi A Aigueperse A Quintard M |
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Institution: | (1) LEPT-ENSAM Esplanade des Arts et Métiers, 33405 Talence Cedex, France;(2) ATI Services, 25 quai A. Sisley, B.P. 2, 92390 Villeneuve-La-Garenne, France;(3) Institut de Mécanique des Fluides, Allée du Prof. C. Soula, 31400 Toulouse, France |
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Abstract: | Based on the volume averaging method, a macroscopic model is developed for the upscaling of NAPL transport in a porous medium idealised by a network model. Under the assumption of local mass non-equilibrium, a macroscopic equation involving a dispersion tensor, additional convective terms and a linear form for the interfacial mass flux is obtained. The resolution of the two local closure problems obtained allow the determination of the local properties without adjustable parmeters. These problems are solved in a semi-analytical, semi-numerical manner on the network. The originality of this work is the association of the upscaling by volume averaging method with the network approach. The local properties, including the dispersion tensor and the mass exchange coefficient, can therefore be calculated over a large number of pore-bodies and pore-throats in a computationaly tractable manner, thus leading to more significant results. Results are presented for 3D, spatially periodic models of porous media. |
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Keywords: | NAPL transport upscaling network modeling volume averaging method local mass non-equilibrium |
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