Upscaling from Darcy Scale to Field Scale

Chapter
Part of the GeoPlanet: Earth and Planetary Sciences book series (GEPS)

Abstract

Porous media often are often characterized by spatially varying properties such as porosity, permeability or capillary function. The scale of variability is often much smaller than the size of the considered domain, so it is necessary to develop an upscaled description of flow processes, which captures the field-scale behaviour of the heterogeneous medium in an average sense. In this chapter, an overview of upscaling approaches is presented, with particular focus on the methods applicable to binary media, consisting of porous inclusions dispersed in the background material. Various approaches for permeability upscaling in steady state flow are discussed and numerical examples are presented to show the differences between methods. In the last part of the chapter, the problem of transient flow in heterogeneous media is examined. The approaches based on the assumptions of local equilibrium and local non-equilibrium are compared and contrasted.

Keywords

Representative Elementary Volume Matrix Block Effective Permeability Cell Problem Effective Medium Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Faculty of Civil and Environmental EngineeringGdansk University of TechnologyGdanskPoland

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