Отправлено: 18.07.17 07:07. Заголовок: Fundamental Transport Property Relations in Porous Media Incorporating Detailed Pore Structure

Fundamental Transport Property Relations in Porous Media Incorporating Detailed Pore Structure Description
Carl Fredrik Berg · Rudolf Held


Abstract
In this article, we present fundamental transport property relations incorporating
direct descriptors of the pore structure.The pore structure descriptors are defined from streamline
decomposition of the numerical solutions of the transport equations. These descriptors
have been introduced earlier, while the calculations are extended to voxel-based microstructures
in this article. The pore structure descriptors for the respective transport equations are
used in turn to obtain rigorous cross-property relations for porous media. We derive such
cross-property relations exemplarily for computed tomography (CT) data and digital rock
models of Fontainebleau sandstone, and CT data of two reservoir sandstone facies. Pore structure
parameterizations of these porous media are given for electrical conductance and fluid
permeability in themicrostructure, yielding correlations for the transport property-dependent
descriptors of effective porosity, tortuosity and constriction.
These relations are shown to be well-correlated functions over the range of sample porosities
for the Fontainebleau sandstone.
Differences between the outcrop Fontainebleau sandstone and the reservoir samples
are observed mainly in the derived hydraulic length descriptor.

A quantitative treatment of the obtained cross-property functions is provided that could be applied
for porous medium сharacterization.
It is suggested that such cross-property investigation honoring the detailed
microstructure will lead to more fundamental relations between porous medium properties,
which could be exploited for example in rock typing or wire-line log interpretation.