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Depth vs Concentration
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POLLUTEv8
Version 8.00 Beta
Copyright (c) 2021
GAEA Technologies Ltd., R.K. Rowe and J.R. Booker
Case 7: Fractured rock and radioactive decay
THE DARCY VELOCITY (Flux) THROUGH THE LAYERS Va = 0.08 m/year
Layer Properties
Layer |
Fracture |
Opening |
Number |
Fracture |
Opening |
Number |
Fracture |
Opening |
Number |
Fractured Rock |
0.05 m |
1E-5 m |
10 |
|
|
|
|
|
|
Layer |
Dispersion Coefficient in Fractures |
Distribution Coefficient in Fractures |
Fracture Porosity |
Retardation Coefficient in Matrix |
Fractured Rock |
6 m²/a |
0 m³/kg |
2.0000E-04 |
1.0000E+00 |
Layer |
Thickness |
Number of Sublayers |
Coefficient of Hydrodynamic Dispersion |
Matrix Porosity |
Distributon Coefficient |
Dry Density |
Fractured Rock |
50 m |
5 |
0.0018 m²/a |
0.05 |
0 m³/kg |
2 g/cm³ |
Boundary Conditions
Constant Concentration
Source Concentration = 1 mg/L
Infinite Thickness Bottom Boundary
Radioactive or Biological Decay
Radioactive or Biological Decay Source Half Life = 100 yr
Radioactive or Biological Decay Base Half Life = 100 yr
First Order Radioactive or Biological Decay Depth Ranges
Minimum Depth |
Maximum Depth |
Half Life |
0 m |
50 m |
100 yr |
Laplace Transform Parameters
TAU = 7 N = 40 SIG = 0 RNU = 4
Calculated Concentrations at Selected Times and Depths
Time |
Depth |
Concentration |
30 |
0.000E+00 |
8.123E-01 |
|
1.000E+01 |
8.123E-01 |
|
3.000E+01 |
8.123E-01 |
|
4.000E+01 |
7.881E-01 |
|
5.000E+01 |
2.588E-01 |
NOTICE
Although this program has been tested and experience would indicate that it is accurate within the limits given by the assumptions of the theory used, we make no warranty as to workability of this software or any other licensed material. No warranties either expressed or implied (including warranties of fitness) shall apply. No responsibility is assumed for any errors, mistakes or misrepresentations that may occur from the use of this computer program. The user accepts full responsibility for assessing the validity and applicability of the results obtained with this program for any specific case.
Below is the results using the default Laplace Transform parameters. These results are clearly wrong! The other values are correct. We can get the correct value at 50 m by increasing the amount of integration as indicated in the previous output listing.
Calculated Concentrations at Selected Times and Depths
Time |
Depth |
Concentration |
30 |
0.000E+00 |
8.123E-01 |
|
1.000E+01 |
8.123E-01 |
|
3.000E+01 |
8.123E-01 |
|
4.000E+01 |
7.883E-01 |
|
5.000E+01 |
-1.384E+02 |