Fluid transport in porous rocks. II. Hydrodynamic model of flow and intervoxel coupling

P. Mansfield, B. Issa

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11 Citations (Scopus)

Abstract

In a preceding paper [P. Mansfield and B. Issa, J. Magn. Reson. A 122,137-148 (1996)], a stochastic model of fluid flow in porous rocks based upon the experimental observation of water flow through a Bentheimer sandstone core was proposed. The flow maps were measured by NMR-imaging techniques. The stochastic theory led to a Gaussian velocity distribution with a mean value in accord with Darcy's law. Also predicted was a linear relationship between flow variance and mean fluid flow through rock, the Mansfield-Issa equation, originally proposed as an empirical relationship. In the present work a flow coupling mechanism between voxels is proposed. Examination of the flow coupling between isolated voxel pairs leads to a complementary explanation of the Gaussian velocity distribution, and also gives further details of the Mansfield-Issa equation. These details lead to a new expression for the connectivity, <C>, between voxels with an experimental value of <C> = 5.64 × 10-9 for Bentheimer sandstone.

Original languageEnglish
Pages (from-to)149-156
Number of pages8
JournalJournal of Magnetic Resonance - Series A
Volume122
Issue number2
DOIs
Publication statusPublished - 1996
Externally publishedYes

ASJC Scopus subject areas

  • General Engineering

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