University of Cambridge > Talks.cam > Engineering Department Bio- and Micromechanics Seminars > T Upscaling Permeability in a Laboratory Context - Mathematics and Modelling

T Upscaling Permeability in a Laboratory Context - Mathematics and Modelling

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Permeability is a key parameter important to a variety of applications in geological engineering and in the environmental geosciences. The conventional definition of Darcy flow enables the estimation of permeability at different levels of detail. This lecture will focus on the measurement of surface permeability characteristics of a large cuboidal block of Indiana Limestone, using a surface permeameter. The paper discusses the theoretical developments, the solution of the resulting triple integral equations and associated computational treatments that enable the mapping of the near surface permeability of the cuboidal region. Other forms of transient pulse tests for interface regions are also discussed. This data combined with a kriging procedure is used to develop results for the permeability distribution at the interior of the cuboidal region. Upon verification of the absence of dominant pathways for fluid flow through the cuboidal region, estimates are obtained for the “Effective Permeability” of the cuboid using estimates proposed by the Wiener bounds, Landau and Lifschitz, King, Matheron, Journel et al., Dagan and others. The results of these estimates are compared with the geometric mean, derived form the computational estimates.

This talk is part of the Engineering Department Bio- and Micromechanics Seminars series.

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