3

5

ASTM3,5

[11]

Liquid

viscosity

ASTM2,1

Intrinsic permeability (kintr) depends on liquid viscosity (μ), according to the implicit equation:

k i n t r = h c 2 f ( ( h c q t ) , ( S h ) , ( h c v z * t ) , ( S c ) , ( ρ s h c 2 ψ t 2 ) , ( ρ s h c 2 μ t ) , ( R i ) , ( h c 2 t D ) , ( R e ) , ( h c z ) , ( C a ) , ( C i t ( d C i d t ) ) , ( T i h c ( d T d z ) ) , Φ , θ , S e , n , i , K s )

Where the terms, definitions and dimensions of

( k i n t r , h c , q , t , S h , v z , S c , ρ s , ψ , μ , R i , D , R e , z , C a , C i , T i , T , Φ , θ , S e , n , i , K s , d C i d t ) are presented in detail in the terminology (Table A8) of the Appendix. (q) refers to infiltration rate, (Φ) is the total porosity, (θ) is the liquid content/soil-water content, (n) is pore size distribution index, (Ks) is fluid solubility. Rayleigh’s method of indices was deployed along with the echelon matrix procedure as an additional confirmation method.

3

6

ASTM3,6

[10]

Gravitational acceleration

ASTM2,1

Intrinsic permeability (kintr) depends on gravitational acceleration (g), according to the implicit equation:

k i n t r = h c 2 f ( ( h c q t ) , ( S h ) , ( h c v z * t ) , ( S c ) , ( ρ s h c 2 ψ t 2 ) , ( ρ s h c 2 μ t ) , ( R i ) , ( h c 2 t D ) , ( R e ) , ( h c z ) , ( C a ) , ( C i t ( d C i d t ) ) , ( T i h c ( d T d z ) ) , Φ , θ , S e , n , i , K s )

Where the terms, definitions and dimensions of ( k i n t r , d g r a i n , q , t , S h , R e , S c , μ , ψ , ρ s , d r i n g , R i , D , σ , h c ) are presented in detail in the terminology (Table A8) of the Appendix. For clarification purposes, (q) refers to infiltration rate. Rayleigh’s method of indices was deployed along with the echelon matrix procedure as an additional confirmation method.