percolating_continua¶
- openpnm.models.phases.electrical_conductivity.percolating_continua(target, phi_crit, tau, volume_fraction='pore.volume_fraction', bulk_property='pore.intrinsic_conductivity')[source]¶
Calculates the effective property of a continua using percolation theory
- Parameters
target (OpenPNM Base object) – Object with which this model is associated. This controls the length of the calculated array, and also provides access to other necessary properties.
volume_fraction (str) – The dictionary key in
target
containing the volume fraction of the conducting componentbulk_property (string) – The dictionary key in
target
containing the intrinsic property of the conducting componentphi_crit (float) – The volume fraction below which percolation does NOT occur
tau (float) – The exponent of the percolation relationship
- Returns
sigma_eff – A numpy ndarray containing effective electrical conductivity values.
- Return type
ndarray
Notes
This model uses the following percolation relationship:
\[\sigma_{effective}=\sigma_{bulk}(\phi - \phi_{critical})^\lambda\]