Pore network modelling of two-phase ̄ow in porous rock: the eect of correlated heterogeneity

نویسندگان

  • Mark A. Knackstedt
  • Adrian P. Sheppard
  • Muhammad Sahimi
چکیده

Using large scale computer simulations and pore network models of porous rock, we investigate the e€ect of correlated heterogeneity on two-phase ̄ow through porous media. First, we review and discuss the experimental evidence for correlated heterogeneity. We then employ the invasion percolation model of two-phase ̄ow in porous media to study the e€ect of correlated heterogeneity on rate-controlled mercury porosimetry, the breakthrough and residual saturations, and the size distribution of clusters of trapped ̄uids that are formed during invasion of a porous medium by a ̄uid. For all the cases we compare the results with those for random (uncorrelated) systems, and show that the simulation results are consistent with the experimental data only if the heterogeneity of the pore space is correlated. In addition, we also describe a highly ecient algorithm for simulation of twophase ̄ow and invasion percolation that makes it possible to consider very large networks. Ó 2001 Elsevier Science Ltd. All rights reserved.

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تاریخ انتشار 2000