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POLLUTEv8
Version 8.00 Beta
Copyright (c) 2021
GAEA Technologies Ltd., R.K. Rowe and J.R. Booker
Case 10: Time-varying advective-dispersive transport
THE VARIABLE VELOCITY AND/OR CONCENTRATION OPTION HAS BEEN USED. NOTE THAT THE ACCURACY OF THE CALCULATIONS WITH THIS OPTION WILL DEPEND ON THE NUMBER OF SUBLAYERS USED.
Layer Properties
Layer |
Thickness |
Number of Sublayers |
Coefficient of Hydrodynamic Dispersion |
Matrix Porosity |
Distributon Coefficient |
Dry Density |
Aquitard |
4 m |
12 |
0.02 cm²/a |
0.4 |
0 m³/kg |
1.5 g/cm³ |
Boundary Conditions
Finite Mass Top Boundary
Fixed Outflow Bottom Boundary
Landfill Length = 200 m
Landfill Width = 1 m
Base Thickness = 1 m
Base Porosity = 0.3
Variation in Properties with Time
Time Periods with the same Source and Velocity
Period |
Start Time |
No. of |
Time Step |
Source Conc |
Rate of Change |
Height of Leachate |
Volume Collected |
1 |
0 yr |
1 |
20 yr |
1000 mg/L |
0 |
7.5 m |
0.3 m/a |
2 |
20 yr |
10 |
1 yr |
-1 mg/L |
0 |
7.5 m |
0.3 m/a |
3 |
30 yr |
10 |
10 yr |
-1 mg/L |
0 |
7.5 m |
0.279 m/a |
Period |
Start Time |
End Time |
Proportion Mass |
Dispersivity |
Base Velocity |
1 |
0 yr |
20 yr |
-0.001 m/a |
0 m |
2 m/a |
2 |
20 yr |
30 yr |
0 m/a |
0.4 m |
2 m/a |
3 |
30 yr |
130 yr |
0.021 m/a |
0.4 m |
6.2 m/a |
Laplace Transform Parameters
TAU = 7 N = 20 SIG = 0 RNU = 2
Calculated Concentrations at Selected Times and Depths
Time |
Depth |
Concentration |
20 |
0.000E+00 |
4.493E+02 |
|
1.000E+00 |
0.000E+00 |
|
2.000E+00 |
0.000E+00 |
|
3.000E+00 |
0.000E+00 |
|
4.000E+00 |
0.000E+00 |
21 |
0.000E+00 |
4.317E+02 |
|
1.000E+00 |
1.000E-06 |
|
2.000E+00 |
1.000E-06 |
|
3.000E+00 |
1.000E-06 |
|
4.000E+00 |
9.673E-07 |
22 |
0.000E+00 |
4.140E+02 |
|
1.000E+00 |
1.000E-06 |
|
2.000E+00 |
1.000E-06 |
|
3.000E+00 |
1.000E-06 |
|
4.000E+00 |
9.373E-07 |
23 |
0.000E+00 |
3.968E+02 |
|
1.000E+00 |
1.001E-06 |
|
2.000E+00 |
1.000E-06 |
|
3.000E+00 |
1.000E-06 |
|
4.000E+00 |
9.095E-07 |
24 |
0.000E+00 |
3.803E+02 |
|
1.000E+00 |
2.075E-06 |
|
2.000E+00 |
1.000E-06 |
|
3.000E+00 |
1.000E-06 |
|
4.000E+00 |
8.842E-07 |
25 |
0.000E+00 |
3.645E+02 |
|
1.000E+00 |
3.657E-04 |
|
2.000E+00 |
1.000E-06 |
|
3.000E+00 |
9.998E-07 |
|
4.000E+00 |
8.613E-07 |
26 |
0.000E+00 |
3.495E+02 |
|
1.000E+00 |
2.295E-02 |
|
2.000E+00 |
1.001E-06 |
|
3.000E+00 |
9.995E-07 |
|
4.000E+00 |
8.408E-07 |
27 |
0.000E+00 |
3.352E+02 |
|
1.000E+00 |
3.112E-01 |
|
2.000E+00 |
1.088E-06 |
|
3.000E+00 |
9.988E-07 |
|
4.000E+00 |
8.226E-07 |
28 |
0.000E+00 |
3.215E+02 |
|
1.000E+00 |
1.726E+00 |
|
2.000E+00 |
7.774E-06 |
|
3.000E+00 |
9.978E-07 |
|
4.000E+00 |
8.068E-07 |
29 |
0.000E+00 |
3.085E+02 |
|
1.000E+00 |
5.600E+00 |
|
2.000E+00 |
2.971E-04 |
|
3.000E+00 |
9.977E-07 |
|
4.000E+00 |
7.931E-07 |
30 |
0.000E+00 |
2.960E+02 |
|
1.000E+00 |
1.295E+01 |
|
2.000E+00 |
5.209E-03 |
|
3.000E+00 |
1.064E-06 |
|
4.000E+00 |
7.815E-07 |
40 |
0.000E+00 |
1.981E+02 |
|
1.000E+00 |
1.340E+02 |
|
2.000E+00 |
2.090E+01 |
|
3.000E+00 |
7.031E-01 |
|
4.000E+00 |
1.518E-03 |
50 |
0.000E+00 |
1.335E+02 |
|
1.000E+00 |
1.575E+02 |
|
2.000E+00 |
7.950E+01 |
|
3.000E+00 |
1.634E+01 |
|
4.000E+00 |
5.856E-01 |
60 |
0.000E+00 |
9.010E+01 |
|
1.000E+00 |
1.379E+02 |
|
2.000E+00 |
1.154E+02 |
|
3.000E+00 |
5.128E+01 |
|
4.000E+00 |
6.323E+00 |
70 |
0.000E+00 |
6.092E+01 |
|
1.000E+00 |
1.093E+02 |
|
2.000E+00 |
1.218E+02 |
|
3.000E+00 |
8.301E+01 |
|
4.000E+00 |
2.051E+01 |
80 |
0.000E+00 |
4.123E+01 |
|
1.000E+00 |
8.260E+01 |
|
2.000E+00 |
1.112E+02 |
|
3.000E+00 |
9.947E+01 |
|
4.000E+00 |
3.836E+01 |
90 |
0.000E+00 |
2.792E+01 |
|
1.000E+00 |
6.081E+01 |
|
2.000E+00 |
9.372E+01 |
|
3.000E+00 |
1.013E+02 |
|
4.000E+00 |
5.314E+01 |
100 |
0.000E+00 |
1.892E+01 |
|
1.000E+00 |
4.404E+01 |
|
2.000E+00 |
7.521E+01 |
|
3.000E+00 |
9.350E+01 |
|
4.000E+00 |
6.134E+01 |
110 |
0.000E+00 |
1.283E+01 |
|
1.000E+00 |
3.155E+01 |
|
2.000E+00 |
5.844E+01 |
|
3.000E+00 |
8.093E+01 |
|
4.000E+00 |
6.283E+01 |
120 |
0.000E+00 |
8.705E+00 |
|
1.000E+00 |
2.242E+01 |
|
2.000E+00 |
4.439E+01 |
|
3.000E+00 |
6.701E+01 |
|
4.000E+00 |
5.926E+01 |
130 |
0.000E+00 |
5.907E+00 |
|
1.000E+00 |
1.585E+01 |
|
2.000E+00 |
3.316E+01 |
|
3.000E+00 |
5.371E+01 |
|
4.000E+00 |
5.264E+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.