Applied numerical modeling of saturated / unsaturated flow and ...
Applied numerical modeling of saturated / unsaturated flow and ...
Applied numerical modeling of saturated / unsaturated flow and ...
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List <strong>of</strong> abbreviations <strong>and</strong> mathematical symbols<br />
a empirical sorption constant [-]<br />
b empirical sorption constant [-]<br />
C concentration [M L -3 ]<br />
C0 equilibrium concentration [M L -3 ]<br />
Cl liquid phase concentration [M L -3 ]<br />
Cs solid phase concentration [M M -1 ]<br />
Corg soil organic carbon content [%]<br />
Cw(�) water capacity function<br />
D tensor <strong>of</strong> hydrodynamic dispersion<br />
[L² T -1 ]<br />
Da aqueous molecular diffusion<br />
coefficient [L² T -1 ]<br />
Dae effective diffusion coefficient [L² T -1 ]<br />
Dap apparent diffusion coefficient [L² T -1 ]<br />
De tensor <strong>of</strong> effective hydrodynamic<br />
dispersion [L² T -1 ]<br />
Dm tensor <strong>of</strong> mechanical dispersion<br />
[L² T -1 ]<br />
DW demolition waste<br />
FE finite element<br />
FEM finite element method<br />
g travel time probability density<br />
function<br />
h hydraulic head [L]<br />
h´ erroneous head measurement [L]<br />
I identity tensor<br />
IC inhibition concentration [M L -3 ]<br />
K tensor <strong>of</strong> hydraulic conductivity<br />
[L T -1 ]<br />
kmax maximum degradation rate<br />
[M L -3 T -1 ]<br />
l pore connectivity parameter [-]<br />
m empirical Van Genuchten<br />
parameter [-]<br />
MC half-saturation concentration [M L -3 ]<br />
MM Michaelis-Menten<br />
n empirical Van Genuchten<br />
parameter [-]<br />
OOP object-oriented programming<br />
PDE partial differential equation<br />
pdf probability density function<br />
Q source or sink term [M L -3 T -1 ]<br />
r radial distance [L]<br />
REV representative elementary volume<br />
S specific storativity [L -1 ]<br />
Sr relative saturation [-]<br />
t time [T]<br />
V magnitude <strong>of</strong> velocity vector<br />
[L T -1 ]<br />
vmax maximum growth rate [T -1 ]<br />
v average linear velocity [L T -1 ]<br />
v vector <strong>of</strong> average linear velocity<br />
[L T -1 ]<br />
VA Virtual Aquifer<br />
X microbial population [M L -3 ]<br />
Y yield coefficient [-]<br />
z elevation [L]<br />
� empirical Van Genuchten<br />
parameter [L -1 ]<br />
�L<br />
�T<br />
longitudinal dispersivity [L]<br />
transverse dispersivity [L]<br />
� reaction function<br />
� tortuosity related coefficient [-]<br />
� r<strong>and</strong>om number<br />
� intraparticle porosity [-]<br />
��h maximum measurement error [L]<br />
� empirical sorption constant [-]<br />
�e effective porosity [-]<br />
� volumetric water content [-]<br />
�r residual water content [-]<br />
<strong>saturated</strong> water content [-]<br />
�s<br />
� empirical sorption constant<br />
[M 1-� L 3� M -1 ]<br />
� first order degradation rate<br />
constant [T -1 ]<br />
� microbial decay term<br />
� density [M L -3 ]<br />
2<br />
� Y ln(K) variance<br />
� travel time [T]<br />
tortuosity factor [-]<br />
�f<br />
� matric head [L]<br />
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