6^th Generation

Row

Column

Node

Appendix references

Concept

Depends on/

Related to

Contribution

6

1

PP_6,1

[47]

Soil

organic matter

PP_5,1

Results show that soil water retention is related to soil organic matter (SOM) (page 3086). Soil organic matter affects soil water retention because of its affinity to water and its influence on soil structure and bulk density (page 3087)⁴

6

2

PP_6,2

[18]

Type

of rock of soil parent material

PP_5,2

The soil texture heterogeneity is controlled by the type of rock that constitutes the soil parent material (pages 157, 163). Consequently, soil texture is related to type of rock of soil parent material⁵

6

3

PP_6,3

[39]

Total Porosity

PP_5,3

The capillary pressure (P_c) depends on the porosity (Φ), (equation 3.4.1.14, page 58).

$P_c={\left(\frac{\Phi }{K}\right)}^{0,5}\ast \sigma \ast J\left(s\right)$ , where the terms, definitions and dimensions of $\left(P_c,\Phi ,K,\sigma ,J\left(s\right),s\right)$ are presented in detail in the below terminology (Table A8) of the Appendix.

6

4

PP_6,4

[30]

Pore size

distribution

ASTM_5,4

In van Genuchten’s model, the capillary pressure (P_c) is depended on the pore size distribution (n), (eq. 2, page 3619):

$P_c={�}^{-1}\ast {\left(S_e^{\left(-\frac{1}{m}\right)}-1\right)}^{\frac{1}{n}}$ , where the terms, definitions and dimensions of $\left(P_c,�,S_e,m,n\right)$ are presented in detail in the below terminology (Table A8) of the Appendix.

6

5

ASTM_6,5

[1]

Thermal

conductivity

ASTM_5,5

Thermal diffusivity (D_th) depends on thermal conductivity (λ), according to the implicit function:

$\begin{array}{l}{D}_{th}=\left(\frac{V_s^{\frac{2}{3}}}{t}\right)f(\left(\frac{V_s^{\frac{1}{3}}\ast M_s}{\lambda \ast t^3\ast T}\right),\left(\frac{V_s^{\frac{2}{3}}}{C\ast t^2\ast T}\right),\left(\frac{M_s}{{\rho }_s\ast V_s}\right),\begin{array}{c}\stackrel{}{}\\ \\ \end{array}\\ \left(\frac{T}{V_s^{\frac{1}{3}}\ast \left(\frac{\text{d}T}{\text{d}z}\right)}\right),\left(\frac{M_s}{t^2\ast T\ast k_{th}}\right),\Phi ,n)\end{array}$

where the terms, definitions and dimensions of $\left(D_{th},V_s,t,M_s,\lambda ,T,C,{\rho }_s,z,k_{th},\Phi ,n\right)$ are presented in detail in the below terminology (Table A8) of the Appendix. For clarification purposes, (Φ) is the total porosity and (n) is pore size distribution index. Rayleigh’s method of indices was deployed along with the echelon matrix procedure as an additional confirmation method.