Appendix A Examples > Example 15: Leachate Collection with Failure

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Depth vs Concentration

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clip0307

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POLLUTEv8

Version 8.00 Beta
Copyright (c) 2021
GAEA Technologies Ltd., R.K. Rowe and J.R. Booker

Case 15: Leachate Collection with Failure.

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.

THE PASSIVE SINK OPTION HAS BEEN USED. NOTE THE USER IS RESPONSIBLE FOR ENSURING THAT VELOCITY CHANGES ARE CONSISTENT WITH THE PASSIVE SINK.

Layer Properties

Layer	Thickness	Number of Sublayers	Coefficient of Hydrodynamic Dispersion	Matrix Porosity	Distributon Coefficient	Dry Density
Clay	1 m	4	0.02 m²/a	0.4	0 mL/g	1.5 g/cm³
Collection System	0.3 m	4	10 m²/a	0.3	0 mL/g	1.5 g/cm³
Aquitard	2 m	4	0.02 m²/a	0.4	0 mL/g	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 Steps	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	0.29 m/a
2	20 yr	5	2 yr	-1 mg/L	0	7.5 m	0.2 m/a
3	30 yr	2	10 yr	-1 mg/L	0	7.5 m	0.2 m/a
4	50 yr	5	10 yr	-1 mg/L	0	7.5 m	0.2 m/a
5	100 yr	5	20 yr	-1 mg/L	0	7.5 m	0.2 m/a

Period	Start Time	End Time	Proportion Mass	Dispersivity	Base Velocity
1	0 yr	20 yr	1 m/a	0.4 m	4 m/a
2	20 yr	30 yr	1 m/a	0.4 m	4 m/a
3	30 yr	50 yr	1 m/a	0.4 m	4 m/a
4	50 yr	100 yr	1 m/a	0.4 m	4 m/a
5	100 yr	200 yr	1 m/a	0.4 m	4 m/a

Velocity and Sink Profile

Time Period	Minimum Depth	Maximum Depth	Vertical Velocity	Horizontal Outflow
1 / 1	0 m	1 m	0.01 m/a	0 m/a
	1 m	1.3 m	0.01 m/a	6.67 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
2 / 1	0 m	1 m	0.028 m/a	0 m/a
	1 m	1.3 m	0.028 m/a	18.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
2 / 2	0 m	1 m	0.046 m/a	0 m/a
	1 m	1.3 m	0.046 m/a	30.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
2 / 3	0 m	1 m	0.064 m/a	0 m/a
	1 m	1.3 m	0.064 m/a	42.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
2 / 4	0 m	1 m	0.082 m/a	0 m/a
	1 m	1.3 m	0.082 m/a	54.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
2 / 5	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
3 / 1	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
3 / 2	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
4 / 1	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
4 / 2	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
4 / 3	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
4 / 4	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
4 / 5	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
5 / 1	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
5 / 2	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
5 / 3	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
5 / 4	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a
5 / 5	0 m	1 m	0.1 m/a	0 m/a
	1 m	1.3 m	0.1 m/a	66.7 m/a
	1.3 m	3.3 m	0 m/a	0 m/a

Laplace Transform Parameters

TAU = 7 N = 20 SIG = 0 RNU = 2

Calculated Concentrations at Selected Times and Depths

Time yr	Depth m	Concentration mg/L
20	0.000E+00	4.395E+02
	2.500E-01	4.454E+02
	5.000E-01	4.211E+02
	7.500E-01	3.712E+02
	1.000E+00	3.033E+02
	1.075E+00	3.033E+02
	1.150E+00	3.032E+02
	1.225E+00	3.032E+02
	1.300E+00	3.032E+02
	1.800E+00	1.307E+02
	2.300E+00	4.108E+01
	2.800E+00	9.391E+00
	3.300E+00	7.095E-01
22	0.000E+00	4.137E+02
	2.500E-01	4.158E+02
	5.000E-01	4.017E+02
	7.500E-01	3.701E+02
	1.000E+00	3.224E+02
	1.075E+00	3.223E+02
	1.150E+00	3.223E+02
	1.225E+00	3.224E+02
	1.300E+00	3.225E+02
	1.800E+00	1.411E+02
	2.300E+00	4.899E+01
	2.800E+00	1.236E+01
	3.300E+00	1.062E+00
24	0.000E+00	3.895E+02
	2.500E-01	3.927E+02
	5.000E-01	3.861E+02
	7.500E-01	3.679E+02
	1.000E+00	3.372E+02
	1.075E+00	3.371E+02
	1.150E+00	3.372E+02
	1.225E+00	3.373E+02
	1.300E+00	3.376E+02
	1.800E+00	1.530E+02
	2.300E+00	5.647E+01
	2.800E+00	1.551E+01
	3.300E+00	1.518E+00
26	0.000E+00	3.667E+02
	2.500E-01	3.717E+02
	5.000E-01	3.705E+02
	7.500E-01	3.614E+02
	1.000E+00	3.426E+02
	1.075E+00	3.426E+02
	1.150E+00	3.427E+02
	1.225E+00	3.430E+02
	1.300E+00	3.434E+02
	1.800E+00	1.645E+02
	2.300E+00	6.390E+01
	2.800E+00	1.875E+01
	3.300E+00	2.077E+00
28	0.000E+00	3.454E+02
	2.500E-01	3.512E+02
	5.000E-01	3.531E+02
	7.500E-01	3.497E+02
	1.000E+00	3.388E+02
	1.075E+00	3.388E+02
	1.150E+00	3.390E+02
	1.225E+00	3.394E+02
	1.300E+00	3.399E+02
	1.800E+00	1.741E+02
	2.300E+00	7.118E+01
	2.800E+00	2.208E+01
	3.300E+00	2.737E+00
30	0.000E+00	3.253E+02
	2.500E-01	3.312E+02
	5.000E-01	3.345E+02
	7.500E-01	3.341E+02
	1.000E+00	3.282E+02
	1.075E+00	3.282E+02
	1.150E+00	3.285E+02
	1.225E+00	3.289E+02
	1.300E+00	3.296E+02
	1.800E+00	1.808E+02
	2.300E+00	7.803E+01
	2.800E+00	2.547E+01
	3.300E+00	3.490E+00
40	0.000E+00	2.199E+02
	2.500E-01	2.276E+02
	5.000E-01	2.345E+02
	7.500E-01	2.401E+02
	1.000E+00	2.437E+02
	1.075E+00	2.437E+02
	1.150E+00	2.440E+02
	1.225E+00	2.443E+02
	1.300E+00	2.449E+02
	1.800E+00	1.881E+02
	2.300E+00	1.076E+02
	2.800E+00	4.712E+01
	3.300E+00	1.035E+01
50	0.000E+00	1.488E+02
	2.500E-01	1.546E+02
	5.000E-01	1.602E+02
	7.500E-01	1.656E+02
	1.000E+00	1.704E+02
	1.075E+00	1.705E+02
	1.150E+00	1.706E+02
	1.225E+00	1.709E+02
	1.300E+00	1.713E+02
	1.800E+00	1.603E+02
	2.300E+00	1.120E+02
	2.800E+00	5.985E+01
	3.300E+00	1.789E+01
60	0.000E+00	1.008E+02
	2.500E-01	1.050E+02
	5.000E-01	1.093E+02
	7.500E-01	1.138E+02
	1.000E+00	1.183E+02
	1.075E+00	1.184E+02
	1.150E+00	1.185E+02
	1.225E+00	1.187E+02
	1.300E+00	1.190E+02
	1.800E+00	1.282E+02
	2.300E+00	1.023E+02
	2.800E+00	6.254E+01
	3.300E+00	2.307E+01
70	0.000E+00	6.828E+01
	2.500E-01	7.132E+01
	5.000E-01	7.456E+01
	7.500E-01	7.808E+01
	1.000E+00	8.201E+01
	1.075E+00	8.206E+01
	1.150E+00	8.215E+01
	1.225E+00	8.230E+01
	1.300E+00	8.249E+01
	1.800E+00	9.970E+01
	2.300E+00	8.728E+01
	2.800E+00	5.698E+01
	3.300E+00	1.817E+01
80	0.000E+00	4.629E+01
	2.500E-01	4.847E+01
	5.000E-01	5.087E+01
	7.500E-01	5.358E+01
	1.000E+00	5.679E+01
	1.075E+00	5.682E+01
	1.150E+00	5.689E+01
	1.225E+00	5.699E+01
	1.300E+00	5.713E+01
	1.800E+00	7.584E+01
	2.300E+00	7.026E+01
	2.800E+00	4.642E+01
	3.300E+00	1.154E+01
90	0.000E+00	3.140E+01
	2.500E-01	3.295E+01
	5.000E-01	3.470E+01
	7.500E-01	3.674E+01
	1.000E+00	3.925E+01
	1.075E+00	3.927E+01
	1.150E+00	3.932E+01
	1.225E+00	3.939E+01
	1.300E+00	3.949E+01
	1.800E+00	5.637E+01
	2.300E+00	5.393E+01
	2.800E+00	3.537E+01
	3.300E+00	6.863E+00
100	0.000E+00	2.130E+01
	2.500E-01	2.240E+01
	5.000E-01	2.366E+01
	7.500E-01	2.516E+01
	1.000E+00	2.705E+01
	1.075E+00	2.707E+01
	1.150E+00	2.710E+01
	1.225E+00	2.715E+01
	1.300E+00	2.722E+01
	1.800E+00	4.101E+01
	2.300E+00	4.000E+01
	2.800E+00	2.597E+01
	3.300E+00	4.082E+00
120	0.000E+00	9.819E+00
	2.500E-01	1.037E+01
	5.000E-01	1.101E+01
	7.500E-01	1.182E+01
	1.000E+00	1.287E+01
	1.075E+00	1.288E+01
	1.150E+00	1.290E+01
	1.225E+00	1.293E+01
	1.300E+00	1.296E+01
	1.800E+00	2.176E+01
	2.300E+00	2.284E+01
	2.800E+00	1.723E+01
	3.300E+00	8.038E+00
140	0.000E+00	4.534E+00
	2.500E-01	4.811E+00
	5.000E-01	5.153E+00
	7.500E-01	5.595E+00
	1.000E+00	6.199E+00
	1.075E+00	6.204E+00
	1.150E+00	6.213E+00
	1.225E+00	6.226E+00
	1.300E+00	6.243E+00
	1.800E+00	1.201E+01
	2.300E+00	1.374E+01
	2.800E+00	1.149E+01
	3.300E+00	6.350E+00
160	0.000E+00	2.099E+00
	2.500E-01	2.243E+00
	5.000E-01	2.428E+00
	7.500E-01	2.677E+00
	1.000E+00	3.030E+00
	1.075E+00	3.033E+00
	1.150E+00	3.038E+00
	1.225E+00	3.044E+00
	1.300E+00	3.052E+00
	1.800E+00	6.754E+00
	2.300E+00	8.230E+00
	2.800E+00	7.255E+00
	3.300E+00	4.279E+00
180	0.000E+00	9.745E-01
	2.500E-01	1.050E+00
	5.000E-01	1.151E+00
	7.500E-01	1.292E+00
	1.000E+00	1.498E+00
	1.075E+00	1.500E+00
	1.150E+00	1.502E+00
	1.225E+00	1.505E+00
	1.300E+00	1.510E+00
	1.800E+00	3.809E+00
	2.300E+00	4.858E+00
	2.800E+00	4.426E+00
	3.300E+00	2.701E+00
200	0.000E+00	4.542E-01
	2.500E-01	4.945E-01
	5.000E-01	5.499E-01
	7.500E-01	6.294E-01
	1.000E+00	7.481E-01
	1.075E+00	7.490E-01
	1.150E+00	7.503E-01
	1.225E+00	7.522E-01
	1.300E+00	7.544E-01
	1.800E+00	2.144E+00
	2.300E+00	2.830E+00
	2.800E+00	2.637E+00
	3.300E+00	1.644E+00

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Model Output

Model Output