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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 />

11

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