Pressure dependent porosity

Overview

This model assumes a simple exponential law for the porosity as function of pressure, i.e.

\[\phi = \phi_{ref} \, exp ( c \cdot ( p - p_{ref} ) )\]

where \(\phi_{ref}\) is the reference porosity at reference pressure, \(p_{ref}\) , \(p\) is the pressure and, \(c\) is the compressibility.

Parameters

The following attributes are supported:

Name

Type

Default

Description

compressibility

real64

required

Solid compressibility

defaultReferencePorosity

real64

required

Default value of the reference porosity

name

string

required

A name is required for any non-unique nodes

referencePressure

real64

required

Reference pressure for solid compressibility

Example

<Constitutive>
   ...
   <PressurePorosity name="rockPorosity"
                     referencePressure="1.0e27"
                     defaultReferencePorosity="0.3"
                     compressibility="1.0e-9"/>
   ...
</Constitutive>