Quantify the Pore Water Velocity Distribution by a Celerity Function

Table 1

Constitutive relationships under the unit hydraulic gradient condition formulated by the Brooks-Corey model and the modified Mualem-van Genuchten model.

Property	Definition	Brooks-Corey	Modified Mualem-van Genuchten
Water retention
Specific capacity
Specific discharge
Average pore velocity
Celerity
Kinematic ratio

Notation of table: (L⁻¹), (−), and (−) are the fitting parameters for the Brooks-Corey model (detonated with subscription of “BC”) and the Mualem-van Genuchten model (detonated with subscription of “VG”); is the effective saturation (−) that is defined as ; is the correction factor to modify the van-Genuchten model , with ; is the minimum capillary height, which becomes zero when ; and is the pore connectivity parameter and is usually assumed to be 0.5.