Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media

Rebecca Allen, Shuyu Sun

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We compute effective properties (i.e., permeability, hydraulic tortuosity, and diffusive tortuosity) of three different digital porous media samples, including in-line array of uniform shapes, staggered-array of squares, and randomly distributed squares. The permeability and hydraulic tortuosity are computed by solving a set of rescaled Stokes equations obtained by homogenization, and the diffusive tortuosity is computed by solving a homogenization problem given for the effective diffusion coefficient that is inversely related to diffusive tortuosity. We find that hydraulic and diffusive tortuosity can be quantitatively different by up to a factor of ten in the same pore geometry, which indicates that these tortuosity terms cannot be used interchangeably. We also find that when a pore geometry is characterized by an anisotropic permeability, the diffusive tortuosity (and correspondingly the effective diffusion coefficient) can also be anisotropic. This finding has important implications for reservoir-scale modeling of flow and transport, as it is more realistic to account for the anisotropy of both the permeability and the effective diffusion coefficient.
Original languageEnglish (US)
Pages (from-to)1-24
Number of pages24
JournalGeofluids
Volume2017
DOIs
StatePublished - Feb 13 2017

Fingerprint Dive into the research topics of 'Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media'. Together they form a unique fingerprint.

Cite this