4^th Generation

Row

Column

Node

Appendix references

Concept

Depends on/

Related to

Contribution

4

1

PP_4,1

[33]

Soil

mass density

PP_3,1

According to Nimmo (2004) equation $\alpha =\left(1-\frac{{\rho }_s}{{\rho }_p}\right)$ (equation 1, page 3), total porosity ( $\alpha$ ) or (Φ) depends on soil bulk density (ρ_s) and soil mass density or particle density (ρ_p), where the terms, definitions and dimensions of $\left(\alpha ,{\rho }_s,{\rho }_p\right)$ are presented in detail in the terminology (Table A8) of the Appendix.

4

2

PP_4,2

[21]

Soil

organic matter

PP_3,2

Water content is related to Soil Organic Matter (SOM). Soil organic matter content and composition effects on water content and soil water potential (pages 2282, 2285)¹.

4

3

PP_4,3

[32]

Effective liquid saturation

ASTM_3,3

Hydraulic conductivity (K) depends on Effective liquid saturation (S_e) according to Kozeny’s approach and Corey’s effective saturation definition (Mualem 1976), (equation 1 & 2, page 513):

$K\left(\theta \right)=K_s\ast {\left(S_e\right)}^n,S_e=\frac{\theta -{\theta }_r}{{\theta }_s-{\theta }_r}$

Where the terms, definitions and dimensions of $\left(K\left(\theta \right),K_s,S_e,\theta ,{\theta }_r,{\theta }_s,n\right)$ are presented in detail in the terminology (Table A8) of the Appendix. Where (θ) is the liquid content/soil-water content and (n) is a shape parameter.

4

4

PP_4,4

[19]

Interfacial

tension

PP_3,4

Pressure head (h), depends on interfacial tension (σ) according to Young-Laplace equation, (equation 3, page 1011):

$h=-\frac{2\ast \sigma \ast \cos \phi }{\rho \ast r\ast g}$

Where the terms, definitions and dimensions of $\left(h,\sigma ,\phi ,\rho ,r,g\right)$ are presented in detail in the terminology (Table A8) of the Appendix. (φ) is the average contact angle of the liquid-air interface and (r) is the average pore space.

4

5

PP_4,5

[38]

Shear modulus/ Modulus of rigidity

ASTM_3,5

The viscosity (η) of the fluid depends on & can be varied by the variation of the angular relaxation frequency (ω₁) and the shear modulus (c₄₄), according to the equation: $\eta =\frac{c_{44}}{{\omega }_1}$ , (equation 9, page 239), where the terms, definitions and dimensions of $\left(\eta ,c_{44},{\omega }_1\right)$ are presented in detail in the below terminology (Table A8) of the Appendix.

4

6

PP_4,6

[22]

Time

ASTM_3,6

The gravitational acceleration (g) related to time.