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MASS TRANSPORT OF SOLUTES. Basic Processes A. Diffusion B. Advection. Fick’s Law. II. The Finer Details Diffusion F = -D dc dx. Fick’s Law. II. The Finer Details Diffusion F = -D dc dx F = mass flux of solute per unit area per unit time - PowerPoint PPT Presentation
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MASS TRANSPORT OF SOLUTES
I. Basic Processes
A. Diffusion
B. Advection
II. The Finer Details
A. Diffusion
F = -D dc
dx
Fick’s Law
II. The Finer DetailsA. Diffusion
F = -D dc dx
F = mass flux of solute per unit area per unit timeD = diffusion coefficient (area per time) dc = concentration gradient (mass/volume/ dx distance)
Fick’s Law
II. The Finer Details
A. Diffusion
B. Advection
Vx = K dh
ne dl
II. The Finer Details
A. Diffusion
B. Advection
C. Mechanical Dispersion
Dm = aL vL
where aL = dynamic dispersivity
(a function of the aquifer’s physical properties, and controls the degree of ‘spread’ of the material)
II. The Finer Details
A. Diffusion
B. Advection
C. Mechanical Dispersion
1) Longitudinal
2) Transverse
Longitudinal
Transverse
II. The Finer DetailsA. DiffusionB. AdvectionC. Mechanical Dispersion
1) Longitudinal2) Transverse
D. Hydrodynamic Dispersion“hard to separate diffusion and mechanical dispersion”
D. Hydrodynamic Dispersion“hard to separate diffusion and mechanical dispersion”
DL = aL vL+ D*
where
DL = hydrodynamic dispersion
aL = dynamic dispersivity
vL = average linear velocity
D*= molecular diffusionwhere D* = (D x n) / (tortuosity)2
II. Action !!!
dC = DL d2C - vx dC
dt dx2 dx
Dispersion and Diffusion
“Pure”Advection
Continuous source…..
(one time source) “A slug”
Continuous source…..
II. The Finer DetailsA. DiffusionB. AdvectionC. Mechanical Dispersion
1) Longitudinal2) Transverse
D. Hydrodynamic DispersionE. Retardation