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
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: \(\texttt{NBOUND}\)