Kozeny-Carman Permeability Model

Overview

In the Kozeny-Carman model (see ref), the permeability of a porous medium is governed by several key parameters, including porosity, grain size, and grain shape:

$k = \frac{({s_{\epsilon}}{D_p})^2 {\phi}^3} {150({1-\phi})^2}$

where $s_{\epsilon}$ is the sphericity of the particles, $D_p$ is the particle diameter, $\phi$ is the porosity of the porous medium.

Parameters

The Kozeny-Carman Permeability Model can be called in the <Constitutive> block of the input XML file. This permeability model must be assigned a unique name via the name attribute. This name is used to assign the model to regions of the physical domain via a materialList attribute in the <ElementRegions> block.

The following attributes are supported:

Name	Type	Default	Description
anisotropy	R1Tensor	{1,1,1}	Anisotropy factors for three permeability components.
name	groupName	required	A name is required for any non-unique nodes
particleDiameter	real64	required	Diameter of the spherical particles.
sphericity	real64	required	Sphericity of the particles.

Example

<Constitutive>
   ...
   <CarmanKozenyPermeability name="matrixPerm"
                             particleDiameter="0.0002"
                             sphericity="1.0"/>
   ...
</Constitutive>