Table 2 Physical parameters of soil types.

From: Solving the Richards infiltration equation by coupling physics-informed neural networks with Hydrus-1D

Soil types

Soft clay(s1)

Sandy loam(s2)

Silty soil(s3)

Physical parameters

Numerical value

Numerical value

Numerical value

\(\:{\theta\:}_{s}\)

0.46

0.41

0.46

\(\:{\theta\:}_{r}\)

0.02

0.065

0.34

\(\:{K}_{s}/(m\cdot\:{h}^{-1})\)

0.036

0.044

0.0025

\(\:\alpha\:\)

0.29

7.5

1.6

\(\:n\)

1.33

1.89

1.37

\(\:m\)

0.248

0.47

0.27

  1. \(\:{K}_{s}\) (unit: \(\:m/h\)) represents the ability of water to flow through saturated soil. \(\:\alpha\:\) is a fitting parameter (\(\:1/m\)) that controls the steepness of the soil water retention curve. \(\:n\) and \(\:m\) are empirical parameters in the VG model that describe the pore size distribution. \(\:{\theta\:}_{r}\) and \(\:{\theta\:}_{s}\) are dimensionless, with values ranging from 0 to 1.