Отправлено: 18.08.17 06:25. Заголовок: The Revised Kozeny-Carman Equation: a practical way to improve permeability prediction

The Revised Kozeny-Carman Equation: a practical way to improve permeability prediction in
the Kozeny-Carman equation through pore-size distribution.
Nattavadee Srisutthiyakorn and Gary Mavko, Stanford University

Summary
The motivation of this work is to acquire insights into the
influence of various aspects of pore geometry on
permeability prediction. Currently, the Kozeny-Carman
(KC) equation lacks parameters that allow the accurate
prediction of permeability, as is illustrated by the sinusoidal
pipe examples shown in this paper. We show that the pore
size distribution and the apparent radius (i.e. the crosssectional
shape along the pore) are two important parameters
needed to predict permeability in porous media accurately.
We then propose the revised Kozeny-Carman equation,
which includes these two parameters, and show that the
correction significantly improves the permeability
prediction. The correction uses the geometry of the porous
media from 3-D µXCT segmented binary images to obtain
the pore size distribution and the apparent radius. In this
study, we conducted numerical simulations using Lattice
Boltzmann simulation (LBM) on 3-D binary segmented
images to obtain streamlines extracted from a local flux,
which is the output from LB simulation. Then, we computed
pore size distribution along the streamlines using the
distance map in the binary images. Numerical simulations
were performed on sinusoidal pipes, simple cubic packs,
face-centered cubic packs, Finney packs, Fontainebleau
sandstones, and Bituminous sands.

ФЬЫУП-2017