Description

<< Click to Display Table of Contents >>

Navigation:  Appendix A Examples > Example 8: Diffusion with Initial Concentration Profile >

Description

Previous pageReturn to chapter overviewNext page

The results of a laboratory diffusion test are analyzed in this example [see Rowe, Caers & Barone, 1988; Barone, Yanful, Quigley & Rowe, 1989]. In this example the diffusion of Potassium in a clay is examined. The clay has an initial background concentration of Potassium of 10 mg/L.

 

The leachate source has an initial concentration (co) of 400 mg/L, and the physical height of the leachate in the reservoir above the soil was 6 cm. At the base of the specimen there was an impermeable barrier (i.e., zero flux).

 

Following are the parameters used in this example:

 

Property

Symbol

Value

Units

Darcy Velocity

va

0

m/a

Diffusion Coefficient

D

0.648

cm2/d

Distribution Coefficient

Kd

2.68

cm3/g

Soil Porosity

nm

0.39

-

Dry Density

 

1.68

g/cm3

Soil Layer Thickness

H

4.5

cm

Number of Sub-layers

 

10

-

Source Concentration

co

400

mg/L

Ref. Height of Leachate

Hr

6

cm

Background Concentration

 

10

mg/L

 

When using an initial concentration profile (eg. background 10 mg/L in this example) the user should have at least three layers, with the top and bottom layer being very thin. In this example layers 1 and 3 are taken to be 0.1 cm thick and layer 2 (the main layer) is taken to be 4.5 - 0.2 = 4.3 cm thick.