During a recent landfill leak location survey a 2 to 3 mm diameter hole was found at a T extrusion weld on the edge of a patch. When shown the hole, and a much smaller pinhole close by, the installer commented that such a hole would not explain the leak flow rate of about 200 gpd. However, there was no argument about the caterpillar track holes at the toe of a slope in the adjacent cell!

For those who question leak flow rates through small holes, Table 1 (below) shows realistic numbers:

 

Water depth on top of the geomembrane, hw

 

0 m
(0 ft)

0.003 m
(0.01 ft)

0.03 m
(0.1 ft)

0.3 m
(1 ft)

3 m
(10 ft)

> 10 m
(>30 ft)

Coefficient of Migration, mg (m2/s)

 

0

9 x 10-20

9 x 10-18

9 x 10-16

9 x 10-14

3 x 10-13

Unitized leakage rate, qg

(m/s)
(lphd)
(gpad)

0
0
0

9 x 10-17
8 x 10-5
8 x 10-6

9 x 10-15
0.008
0.0008

9 x 10-13
0.8
0.08

9 x 10-11
80
8

3 x 10-10
260
28

 

Table 2 (below) shows water vapor diffusion rates through a 1 mm HDPE geomembrane without any physical holes:

 

Water depth on top of the geomembrane, hw

Defect
diameter

0.003 m
(0.01 ft)

0.03 m
(0.1 ft)

0.3 m
(1 ft)

3 m
(10 ft)

30 m
(100 ft)

 

Pinholes

1 mm
(0.004 in)

0.3mm
(0.012 in)

0.006
(0.0015)

0.5
(0.1)

0.06
(0.015)

5
(1)

0.6
(0.15)

50
(13)

6
(1.5)

500
(130)

60
(15)

5,000
(1,300)

 

Holes

2 mm
(0.08 in)

11.3 mm
(0.445 in)

40
(10)

1,300
(300)

130
(30)

4,000
(1,000)

400
(100)

13,000
(3,000)

1,300
(300)

40,000
(10,000)

4,000
(1,000)

130,000
(30,000)

Values of leakage rate in liters/day (gallons/day)

 

This clearly shows that zero leakage is not possible to achieve. Thus, a 2 mm hole will leak between 10 and 1,000 gpd as the hydrostatic head increase from 1 ft to 100 ft – quite significant numbers!

More can be found in Giroud and Bonaparte’s paper " Leakage Through Liners Constructed with Geomembranes – Part I. Geomembrane Liners." published in Geotextiles and Geomembranes, Volume 8, No. 2 pages 27-67, 1989.