Parallel Plates Permeability Model

Overview

The parallel plates permeability model defines the relationship between the hydraulic fracture aperture and its corresponding permeability following the classic lubrication model (Witherspoon et al. ) . In this model, the two fracture walls are assumed to be smooth and parallel to each other and separated by a uniform aperture.

\[k = \frac{a^3}{12}\]

where \(a\) denotes the hydraulic fracture aperture.

Remark: \(k\), dimensionally, is not a permeability (as it is expressed in \(m^3\)).

Parameters

The Parallel Plates 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

name

string

required

A name is required for any non-unique nodes