A relationship for the porosity of a porous medium under mechanical deformation.
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#include <dumux/material/fluidmatrixinteractions/porositydeformation.hh>
template<class Scalar>
class Dumux::PorosityDeformation< Scalar >
A relationship for the porosity of a porous medium under mechanical deformation.
- Template Parameters
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| Scalar | The type used for scalar values |
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| template<class FVGridGeom , class ElemSol > |
| static Scalar | evaluatePorosity (const FVGridGeom &gridGeometry, const typename FVGridGeom::GridView::template Codim< 0 >::Entity &element, const typename FVGridGeom::GridView::template Codim< 0 >::Entity::Geometry::GlobalCoordinate &globalPos, const ElemSol &elemSol, Scalar refPoro, Scalar minPoro=0.0, Scalar maxPoro=1.0) |
| | Calculates the porosity at a position inside an element. More...
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| |
| template<class FVGridGeom , class ElemSol > |
| static Scalar | evaluatePorosity (const FVGridGeom &gridGeometry, const typename FVGridGeom::GridView::template Codim< 0 >::Entity &element, const typename FVGridGeom::SubControlVolume &scv, const ElemSol &elemSol, Scalar refPoro, Scalar minPoro=0.0) |
| | Calculates the porosity at a position inside an element. More...
|
| |
◆ evaluatePorosity() [1/2]
template<class Scalar >
template<class FVGridGeom , class ElemSol >
| static Scalar Dumux::PorosityDeformation< Scalar >::evaluatePorosity |
( |
const FVGridGeom & |
gridGeometry, |
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const typename FVGridGeom::GridView::template Codim< 0 >::Entity & |
element, |
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const typename FVGridGeom::GridView::template Codim< 0 >::Entity::Geometry::GlobalCoordinate & |
globalPos, |
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const ElemSol & |
elemSol, |
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Scalar |
refPoro, |
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Scalar |
minPoro = 0.0, |
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Scalar |
maxPoro = 1.0 |
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) |
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inlinestatic |
Calculates the porosity at a position inside an element.
- Note
- This assumes the primary variables to be organized such that the displacements in the different grid directions are stored in the first entries of the primary variable vector.
- Parameters
-
| gridGeometry | The finite volume grid geometry |
| element | The finite element |
| elemSol | The element solution |
| globalPos | The global position (in the element) |
| refPoro | The solid matrix porosity without deformation |
| minPoro | A minimum porosity value |
| maxPoro | A maximum porosity value |
- Note
- [26] ( https://doi.org/10.1016/S0920-4105(03)00047-0 ) provide a derivation for \(\text{d} \phi = -(1 - \phi ) \text{d} \epsilon_v \). Here, \(\epsilon_v\) is equal to \(\text{div} \mathbf{u}\). By using an initial porosity \(\phi_0\) and assuming \( \epsilon_{v, 0} = 0 \), one obtains \(\phi = \frac{\phi_0 - \text{div} \mathbf{u}}{1 - \text{div} \mathbf{u}}\), which is the formulation for the rock mechanics sign convention. Here we are using the continuum mechanics sign convention, thus, the final formula reads: \(\phi = \frac{\phi_0 + \text{div} \mathbf{u}}{1 + \text{div} \mathbf{u}}\).
◆ evaluatePorosity() [2/2]
template<class Scalar >
template<class FVGridGeom , class ElemSol >
| static Scalar Dumux::PorosityDeformation< Scalar >::evaluatePorosity |
( |
const FVGridGeom & |
gridGeometry, |
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const typename FVGridGeom::GridView::template Codim< 0 >::Entity & |
element, |
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const typename FVGridGeom::SubControlVolume & |
scv, |
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const ElemSol & |
elemSol, |
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Scalar |
refPoro, |
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|
Scalar |
minPoro = 0.0 |
|
) |
| |
|
inlinestatic |
Calculates the porosity at a position inside an element.
- Note
- This assumes the primary variables to be organized such that the displacements in the different grid directions are stored in the first entries of the primary variable vector.
- Parameters
-
| gridGeometry | The finite volume grid geometry |
| element | The finite element |
| elemSol | The element solution |
| scv | The sub-control volume |
| refPoro | The solid matrix porosity without deformation |
| minPoro | A minimum porosity value |
The documentation for this class was generated from the following file:
1.9.3