7^th Generation

Row

Column

Node

Appendix references

Concept

Depends on/

Related to

Contribution

7

1

PP_7,1

[44]

Soil

temperature

PP_6,1

Results show that soil organic matter (SOM) is related to soil temperature. Soil temperature is an important factor which affects soil organic matter (SOM) decomposition rate (pages 399, 403, 404)⁶

7

2

PP_7,2

[16]

Effective

porosity

PP_6,3

Effective porosity (Φ_e) depends on the porosity (Φ) according to the (equation 19, page 23).

${\Phi }_e=\left(1-S_r\right)\ast \Phi$

where the terms, definitions and dimensions of $\left({\Phi }_e,S_r,\Phi \right)$ are presented in detail in the below terminology (Table A8) of the Appendix.

7

3

PP_7,3

[27]

Soil

water retention

PP_6,4

Statistics of the soil pore radius distribution function g(r), is related to the water retention curve of Kosugi’s further modified water retention model in which two parameters with physical significance are involved (page 1).⁷

7

4

ASTM_7,4

[9]

Soil

temperature

ASTM_6,5

Thermal conductivity (λ_s) depends on soil temperature (T), according to the implicit function:

$\begin{array}{l}{\lambda }_s=\left(\frac{{\rho }_s\ast z^4}{t^3\ast T_i}\right)\ast f(\left(\frac{z^2}{C_s\ast t^2\ast T_i}\right),\left(\frac{z^2}{t\ast a_s}\right),\left(\frac{z^3}{V_s}\right),\left(\frac{T_i}{\left(\frac{\text{d}T}{\text{d}z}\right)\ast z}\right),\left(\frac{{\rho }_s\ast z^3}{t^3\ast T_i\ast k_{th\left(s\right)}}\right),\\ \left(\frac{{\rho }_s\ast z^3}{t^3\ast T_i\ast k_{th\left(w\right)}}\right),\left(\frac{{\rho }_s\ast z^4}{t^3\ast T_i\ast {\lambda }_w}\right),\left(Pr\right),\left(St\right),\left(\frac{z^2}{t^2\ast T_i\ast C_w}\right),\\ \begin{array}{c}\stackrel{}{}\\ \\ \end{array}\left(\frac{z^2}{A}\right),\left(\frac{z}{t\ast v_z}\right),\left(\frac{z^3}{V}\right),\left(\frac{{\rho }_s\ast z^2}{t\ast \mu }\right),\Phi ,n,i)\end{array}$

where the terms, definitions and dimensions of $\left({\lambda }_s,{\rho }_s,z,t,{\lambda }_w,T_i,z,C_s,C_w,k_{th\left(w\right)},k_{th\left(s\right)},V,\frac{\text{d}T}{\text{d}z},\mu ,v_z,A,K_{th},\Phi ,n,i\right)$ are presented in detail in the 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.

7

5

ASTM_7,5

[13]

Specific

heat capacity

ASTM_6,5

Thermal conductivity (λ_s) depends on specific heat capacity (C), according to the implicit function:

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

where the terms, definitions and dimensions of $\left({\lambda }_s,V_s,M_s,t,T,C,{\rho }_s,a_s,k_{th},A,\Phi ,n\right)$ are presented in detail in the terminology (Table A8) of the Appendix. Where (C) refers to mean specific heat capacity, (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.