You're reading an old version of this documentation. For the latest released version, please have a look at v5.0.3.

Parameter Dependencies

Some parameters depend on other parameters (parameter-parameter dependency) or the solution variables (parameter-state dependency). Parameter dependencies are defined in the unit operation scope.

Parameter-Parameter Dependencies

Group /input/model/unit_XXX

COL_DISPERSION_DEP

Parameter dependence of column dispersion on the interstitial velocity. Available for the LRM, LRMP and GRM units (with FV discretization only at the moment)

Type: string

Range: \(\texttt{POWER_LAW}\)

Length: 1

FILM_DIFFUSION_DEP

Parameter dependence of film diffusion on the interstitial velocity. Available for the LRMP unit (with FV discretization only at the moment)

Type: string

Range: \(\texttt{POWER_LAW}\)

Length: 1

Correlations

Different types of parameter correlations are can be applied. The following correlations can be used for all parameter-parameter dependencies, but we specify the required input fields only for COL_DISPERSION_DEP, for the sake of conciseness.

Power Law

\[\begin{aligned} p_{dep} &= p_{dep} \cdot b \ |p_{on}^x| \end{aligned}\]

Here, \(p_{dep}\) is the dependent parameter and \(p_{on}\) is the parameter it depends on.

COL_DISPERSION_DEP_BASE

Base \(b\) of the power law parameter dependence. Optional, defaults to \(1.0\)

Type: double

Range: \(\mathbb{R}\)

Length: 1

COL_DISPERSION_DEP_EXPONENT

Exponent \(x\) of the power law parameter dependence

Type: double

Range: \(\mathbb{R}\)

Length: 1

COL_DISPERSION_DEP_ABS

Specifies whether or not the absolute value should be computed. Optional, defaults to \(1\)

Type: int

Range: \(\{0, 1\}\)

Length: 1

Parameter-State Dependencies

Currently, the dependence of surface diffusion on the particle liquid salt component is the only available parameter-state dependence.

Group /input/model/unit_XXX

PAR_SURFDIFFUSION_DEP

Parameter dependence of \(\texttt{PAR_SURFDIFFUSION}\) on the particle liquid salt component (i.e. component with index 0). Valid dependencies are:

  • \(\texttt{NONE}\) Original parameter is used unmodified.

  • \(\texttt{LIQUID_SALT_EXPONENTIAL}\) Original parameter is modified by exponential law of liquid phase salt concentration.

  • \(\texttt{LIQUID_SALT_POWER}\) Original parameter is modified by power law of liquid phase salt concentration.

  • \(\texttt{LIQUID_SALT_COLLOIDAL_AFFINITY}\) Original parameter is modified by colloidal binding affinity based on liquid phase salt concentration.

Optional: If left out, no parameter dependence is assumed and the original surface diffusion coefficients are used unmodified.

Type: string

Length: \(1 / \texttt{NPARTYPE}\)

PAR_SURFDIFFUSION_EXPFACTOR

Factor \(\texttt{p1}\) in exponential law particle surface diffusion relation \(D_{s, i, m} = \tilde{D}_{s, i, m} p_{1, i, m} exp \left(p_{2, i, m} c_{0}^{p} \right)\), where \(\tilde{D}_{s, i, m}\) is the original surface diffusion coefficient. Only required if \(\texttt{PAR_SURFDIFFUSION_DEP}\) is \(\texttt{LIQUID_SALT_EXPONENTIAL}\).

Type: double

Range: \(\geq 0\)

Length: \(\texttt{NBOUND}\)

PAR_SURFDIFFUSION_EXPFACTOR \(D_{s, i, m} = \tilde{D}_{s, i, m} \left[ p_{4, i, m} \left( k_{i, m} \left( c_{0}^{p} \right) \right)^{p_{5, i, m}} p_{6, i, m} exp \left( p_{7, i, m} k_{i, m} \left( c_{0}^{p} \right) \right) \right]\) where \(\tilde{D}_{s, i, m}\) is the original surface diffusion coefficient and \(k_{i, m} \left( c_{0}^{p} \right) = p_{1, i, m}\left( c_{0}^{p} \right)^{p_{2, i, m}} + p_{3, i, m}\). Only required if \(\texttt{PAR_SURFDIFFUSION_DEP}\) is \(\texttt{LIQUID_SALT_COLLOIDAL_AFFINITY}\).

Type: double

Range: \(\mathbb{R}\)

Length: \(\texttt{NBOUND}\)

PAR_SURFDIFFUSION_EXPARGMULT

Factor \(\texttt{p2}\) in exponential law particle surface diffusion relation \(D_{s, i, m} = \tilde{D}_{s, i, m} p_{1, i, m} exp \left(p_{2, i, m} c_{0}^{p} \right)\) where \(\tilde{D}_{s, i, m}\) is the original surface diffusion coefficient. Only required if \(\texttt{PAR_SURFDIFFUSION_DEP}\) is \(\texttt{LIQUID_SALT_EXPONENTIAL}\).

Type: double

Range: \(\mathbb{R}\)

Length: \(\texttt{NBOUND}\)

PAR_SURFDIFFUSION_POWFACTOR

Factor \(\texttt{p1}\) in power law particle surface diffusion relation \(D_{s, i, m} = \tilde{D}_{s, i, m} p_{1, i, m} \left( c_{0}^{p} \right)^{p_{2, i, m}}\) where \(\tilde{D}_{s, i, m}\) is the original surface diffusion coefficient. Only required if \(\texttt{PAR_SURFDIFFUSION_DEP}\) is \(\texttt{LIQUID_SALT_POWER}\).

Type: double

Range: \(\geq 0\)

Length: \(\texttt{NBOUND}\)

PAR_SURFDIFFUSION_POWEXP

Fjactor \(\texttt{p2}\) in power law particle surface diffusion relation \(D_{s, i, m} = \tilde{D}_{s, i, m} p_{1, i, m} \left( c_{0}^{p} \right)^{p_{2, i, m}}\) where \(\tilde{D}_{s, i, m}\) is the original surface diffusion coefficient. Only required if \(\texttt{PAR_SURFDIFFUSION_DEP}\) is \(\texttt{LIQUID_SALT_POWER}\).

Type: double

Range: \(\mathbb{R}\)

Length: \(\texttt{NBOUND}\)

PAR_SURFDIFFUSION_LOGKEQFACTOR

Factor \(\texttt{p1}\) in colloidal affinity law particle surface diffusion relation \(D_{s, i, m} = \tilde{D}_{s, i, m} \left[ p_{4, i, m} \left( k_{i, m} \left( c_{0}^{p} \right) \right)^{p_{5, i, m}} p_{6, i, m} exp \left( p_{7, i, m} k_{i, m} \left( c_{0}^{p} \right) \right) \right]\) where \(\tilde{D}_{s, i, m}\) is the original surface diffusion coefficient and \(k_{i, m} \left( c_{0}^{p} \right) = p_{1, i, m}\left( c_{0}^{p} \right)^{p_{2, i, m}} + p_{3, i, m}\). Only required if \(\texttt{PAR_SURFDIFFUSION_DEP}\) is \(\texttt{LIQUID_SALT_COLLOIDAL_AFFINITY}\).

Type: double

Range: \(\mathbb{R}\)

Length: \(\texttt{NBOUND}\)

PAR_SURFDIFFUSION_LOGKEQEXP

Factor \(\texttt{p2}\) in colloidal affinity law particle surface diffusion relation \(D_{s, i, m} = \tilde{D}_{s, i, m} \left[ p_{4, i, m} \left( k_{i, m} \left( c_{0}^{p} \right) \right)^{p_{5, i, m}} p_{6, i, m} exp \left( p_{7, i, m} k_{i, m} \left( c_{0}^{p} \right) \right) \right]\) where \(\tilde{D}_{s, i, m}\) is the original surface diffusion coefficient and \(k_{i, m} \left( c_{0}^{p} \right) = p_{1, i, m}\left( c_{0}^{p} \right)^{p_{2, i, m}} + p_{3, i, m}\). Only required if \(\texttt{PAR_SURFDIFFUSION_DEP}\) is \(\texttt{LIQUID_SALT_COLLOIDAL_AFFINITY}\).

Type: double

Range: \(\mathbb{R}\)

Length: \(\texttt{NBOUND}\)

PAR_SURFDIFFUSION_LOGKEQCONST

Factor \(\texttt{p3}\) in colloidal affinity law particle surface diffusion relation \(D_{s, i, m} = \tilde{D}_{s, i, m} \left[ p_{4, i, m} \left( k_{i, m} \left( c_{0}^{p} \right) \right)^{p_{5, i, m}} p_{6, i, m} exp \left( p_{7, i, m} k_{i, m} \left( c_{0}^{p} \right) \right) \right]\) where \(\tilde{D}_{s, i, m}\) is the original surface diffusion coefficient and \(k_{i, m} \left( c_{0}^{p} \right) = p_{1, i, m}\left( c_{0}^{p} \right)^{p_{2, i, m}} + p_{3, i, m}\). Only required if \(\texttt{PAR_SURFDIFFUSION_DEP}\) is \(\texttt{LIQUID_SALT_COLLOIDAL_AFFINITY}\).

Type: double

Range: \(\mathbb{R}\)

Length: \(\texttt{NBOUND}\)