Upscaled model derived from homogenization for water drive recovery in fractured reservoirs

December 7, 2005, 11:00 a.m. (CET)

Time: 12/7/05, 11:00 a.m. – 12:30 p.m.
Lecturer: Dr. Hans Bruining, TU Delft, Faculty of Civil Engineering and Geosciences / Dept. of Geotechnology
Venue: Pfaffenwaldring 61, Raum U1.003 (MML), Universität Stuttgart
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Zusammenfassung:Homogenization is a powerful method to obtain upscaled equations insituations where a clear separation of scales is possible. The ratio ofthe small scale with respect to the large scale is denoted by e. Themethod has been used successfully for a variety of porous media flowproblems, e.g. for reactive convection diffusion flows, two phase flowin heterogeneous media, non-Newtonian flow and flow in fracturedreservoirs. In this contribution our interest is in water drive recoveryfrom water-wet fractured reservoirs. Our approach follows the ideas ofT. Arbogast (TIPM). However, the emphasis in this contribution is on (1)the physical assumptions used in the derivation of the upscaled equationto leading order of e, (2) the use of dynamic constitutive relations(capillary pressures and relative permeabilities) proposed by Barenblattet al. to obtain the matrix imbibition contribution and (3) the correctimplementation of the imbibition contribution in the combinedfracture-matrix model.The numerically computed results are compared to the results obtainedwith the semi-empirical dual-porosity-transfer function methodconventionally used by petroleum engineers in their simulators. Theadvantages of using homogenization for the derivation of transferfunctions are discussed.
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