I've signed my self to another 3 years of fun (fun!) via a phd as of yesterday, which means more... stuff.
Continuing with the DGT philosophy and general outlook on life we have some modelling for you today:
"By making
S a function of
z but not distance from the DGT device,
x, we are assuming that the sediment is horzontally uniform. The precise nature of the dependance of
S on
z could be varied, but we arbitrarily chose a Gaussian shaped distribution of
S with vertical distance:
S(z, σ) =
k exp (-
z2 / 2σ
2) (11)
Where
z is the vertical distance above the source maximum (
z=0), σ is a dispersion coefficient analogous to the standard deviation in a normal distribution and k is a constant."
I really just wanted to put the last line in there. Plus today you get a free one:
"In the sediment, the particles increase the diffusional path length (the tortuosity) between two points, and the effective diffusion coefficient, D
s, is reduced below D
0 according to the relationship propsed by Berner (1980; Equation (13)):
D
s = D
0/
Θ2,
Θ2 = 1 - ln(Φ
2), (13)
where Θ2 is the tortuosity, Φ is the porosity, and the relationship between these is the one proposed by Bourdreau (1996). We have assumed D0 = 5 x 10-6 cm2s-1 and a porosity of 0.9, giving a value for Ds of 4.13 x 10-6 cm2s-1. As with kinetic rate constants, there will exist in practice a distribution of diffusion coefficients depending on speciation, for example metals bound to slowly diffusing colloids."
Man, that theta looks like junk in this font. Not literally.
Harper, M.P., Davidson, W. and Tych, W. Estimation of Pore Water Concentrations from DGT Profiles: A Modelling Approach. Aquatic Geochemistry 5: 337-355. 1999.