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): $K\left(\theta \right)={K}_{s}\ast {\left({S}_{e}\right)}^{n},\text{\hspace{0.17em}}\text{\hspace{0.17em}}{S}_{e}=\frac{\theta {\theta}_{r}}{{\theta}_{s}{\theta}_{r}}$ 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/soilwater 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 YoungLaplace equation, (equation 3, page 1011): $h=\frac{2\ast \sigma \ast \mathrm{cos}\phi}{\rho \ast r\ast g}$ 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 liquidair 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 (ω_{1}) and the shear modulus (c_{44}), 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. 