leachate flow in leakage collection layers due to defects in ...

GIROUD et al. D Leachate Flow in Leakage Collection Layers Due to Geomembrane Defects
Table 4. Values of λ worst , λ rand , λ worst /λ rand , Crit(R wworst ) and Crit(R wrand ) as a function of the
dimensionless parameter μ.
μ λ worst λ rand λ worst /λ rand Crit (R w worst ) Crit (R w rand )
1 × 10 -4 1.886 × 10 -2 7.543 × 10 -3 2.500 0.667 0.267
2 × 10 -4 2.667 × 10 -2 1.067 × 10 -2 2.500 0.667 0.267
3 × 10 -4 3.267 × 10 -2 1.307 × 10 -2 2.500 0.667 0.267
5 × 10 -4 4.218 × 10 -2 1.688 × 10 -2 2.499 0.667 0.267
1 × 10 -3 5.967 × 10 -2 2.388 × 10 -2 2.499 0.667 0.267
2 × 10 -3 8.445 × 10 -2 3.382 × 10 -2 2.497 0.667 0.267
3 × 10 -3 1.035 × 10 -1 4.147 × 10 -2 2.496 0.668 0.267
5 × 10 -3 1.338 × 10 -1 5.367 × 10 -2 2.493 0.668 0.268
1 × 10 -2 1.899 × 10 -1 7.637 × 10 -2 2.487 0.670 0.269
2 × 10 -2 2.704 × 10 -1 1.094 × 10 -1 2.473 0.673 0.272
3 × 10 -2 3.334 × 10 -1 1.356 × 10 -1 2.459 0.675 0.275
5 × 10 -2 4.359 × 10 -1 1.794 × 10 -1 2.430 0.681 0.280
1 × 10 -1 6.349 × 10 -1 2.692 × 10 -1 2.359 0.693 0.294
2 × 10 -1 9.462 × 10 -1 4.259 × 10 -1 2.222 0.713 0.321
3 × 10 -1 1.214 5.787 × 10 -1 2.097 0.731 0.348
5 × 10 -1 1.697 8.984 × 10 -1 1.889 0.759 0.402
1 2.797 1.812 1.544 0.808 0.523
2 4.876 3.901 1.250 0.862 0.690
3 6.910 5.941 1.163 0.892 0.767
5 1.094 × 10 1 9.966 1.098 0.925 0.842
1 × 10 1 2.097 × 10 1 1.998 × 10 1 1.049 0.957 0.912
2 × 10 1 4.098 × 10 1 3.999 × 10 1 1.025 0.977 0.953
3 × 10 1 6.099 × 10 1 5.999 × 10 1 1.017 0.984 0.968
5 × 10 1 1.010 × 10 2 1.000 × 10 2 1.010 0.990 0.981
1 × 10 2 2.010 × 10 2 2.000 × 10 2 1.005 0.995 0.990
2 × 10 2 4.010 × 10 2 4.000 × 10 2 1.002 0.998 0.995
3 × 10 2 6.010 × 10 2 6.000 × 10 2 1.002 0.998 0.997
5 × 10 2 1.001 × 10 3 1.000 × 10 3 1.001 0.999 0.998
1 × 10 3 2.001 × 10 3 2.000 × 10 3 1.001 1.000 0.999
2 × 10 3 4.001 × 10 3 4.000 × 10 3 1.000 1.000 1.000
3 × 10 3 6.001 × 10 3 6.000 × 10 3 1.000 1.000 1.000
5 × 10 3 1.000 × 10 4 1.000 × 10 4 1.000 1.000 1.000
Notes: The dimensionless parameter μ is defined by Equation 109. The following equations were used to
calculate the tabulated values: λ worst , Equation 108; λ rand , Equation 123 for μ ≤ 2 and Equation 127 for μ ≥ 2;
Crit(R w worst ), Equation 136; and Crit(R w rand ), Equation 138 for μ ≤ 2 and Equation 140 for μ ≥ 2. It is
important to note that the tabulated values are valid only if the wetted areas related to various defects in the
primary liner do not overlap. Values of λ worst and λ rand are also presented in Figure 10, and values of
Crit(R w worst )andCrit(R w rand ) in Figure 12.
246 GEOSYNTHETICS INTERNATIONAL S 1997, VOL. 4, NOS. 3-4