Hydraulics of Groundwater by Jacob Bear

Author:Jacob Bear
Language: eng
Format: epub, mobi
ISBN: 9780486136165
Publisher: Dover Publications
Published: 2012-07-17T16:00:00+00:00

Figure 7-9 Tracer concentration distribution in one-directional flow in an infinite column.

Figure 7-10 Dispersion in one-dimensional fluctuating flow (Bear, 1961a). (a) Relative tracer concentration. (b) Relations of total volume of flow and variance to total path of 50% concentration.

Case 2. Infinite column with adsorption For this case, with adsorption described by an equilibrium isotherm, we obtain the partial differential equation from (7-45) and (7-46)

(7-118)

where C (≡ C*/n) is the mass of solute per unit volume of water, F (≡ F*) is the mass of solute on the solid matrix per unit volume of porous medium and Rd(= 1 + β) is the retardation factor. For steady flow, ∂C/∂t = 0.

It can be seen that (7-118) can be obtained from (7-114) by replacing q/n by q/nRd and Dn by Dn/Rd. Hence, for the initial and boundary conditions given by (7-115) the solution is

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