(𝒜)

Permeability coefficient or gravity term defined ad hoc by (Jaynes & Gifford, 1981) as given in [25]

[LT⁻¹]

(A)

Constant defined ad hoc by Lassabatere et al., 2010, as given in [28]

[L⁻¹]

(a)

Parameter defined ad hoc by Van Genuchten, 1980 as given in [42], inverse of air entry pressure in soils

[L⁻¹]

(A_inf), (A)

Cross section of the infiltrometer cylinder/control volume cross section

[L²]

(B)

Constant defined ad hoc by Lassabatere et al., 2010, as given in [28]

[1]

(b)

Parameter defined ad hoc by Van Genuchten, 1980 as given in [42]

[1]

(Bi)

Biot number, where $Bi=\frac{k_{th\left(s\right)}\ast V_s}{{\lambda }_s\ast A}$ heat transfer phenomena dimensionless quantity

[1]

(C)

Specific capacity in Richards’ equation, as given in [37]

[L⁻¹]

(C), (C_s), (C_w)

Specific heat capacity (mean) defined as the ability of a given substance’s mass to store enthalpy while undergoing a given temperature change without undergoing a phase change. (_s) denotes the bulk soil and (_w) denotes ‘as regards the water’

[M∙L⁻¹∙T⁻²∙Θ⁻¹]

(c)

Constant defined ad hoc by Brooks & Corey, 1964 as given in [16]

[M∙L⁻¹∙T⁻²]

(c)

Parameter defined ad hoc by Van Genuchten, 1980 as given in [42]

[1]

(Ca)

Capillary number, where $Ca=\frac{\mu \ast v_z}{\gamma }$ (Schluberger Oil Field Glossary)

[1]

(C_i)

Concentration molecular initial

[L⁻³∙mol]

(c₄₄)

Shear modulus/elastic tensor defined as the frequency-dependent elastic moduli by which a compressible viscous fluid is characterized

[M∙L⁻¹∙T⁻²]

(D)

Diffusivity/Hydraulic diffusivity defined as the ratio of transmissivity divided by the storage coefficient (storativity) or the hydraulic conductivity divided by the specific storage (Lohman, 1972) as given in [31] and (United States Geological Survey—USGS, Glossary of Hydrologic Terms), as given in [50]

[L²∙T⁻¹]

(D_th)

See thermal diffusivity

[L²∙T⁻¹]

( $\frac{\text{d}{C}_i}{\text{d}t}$ )

Chemical reaction rate defined as the speed at which reactants are converted into products

[L⁻³∙T⁻¹∙mol]