A general solution for leakage through geomembrane defects overlain by saturated tailings and underlain by highly permeable subgrade
Experimental data is presented for leakage through slits, square, and rectangular geomembrane defects overlain by silty sand tailings and underlain by a well-graded gravel. The rectangular GMB defects have a range of widths, B, lengths, L, and aspect ratios (L/B), and ratios of defect length to thic...
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Published in | Geotextiles and geomembranes Vol. 50; no. 4; pp. 694 - 707 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Essex
Elsevier Ltd
01.08.2022
Elsevier BV |
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Abstract | Experimental data is presented for leakage through slits, square, and rectangular geomembrane defects overlain by silty sand tailings and underlain by a well-graded gravel. The rectangular GMB defects have a range of widths, B, lengths, L, and aspect ratios (L/B), and ratios of defect length to thickness of tailings above the geomembrane (L/T). A blade cut slit (or simulated stress crack) widens to an extent dependant on the subgrade and stress level. For L= 100 mm, increasing B (0.15 < B/L ≤ 1) from 1.6 (slit) to 100 mm (square), decreases the leakage from about twice to essentially the same as that for a circular hole of equal area. The ratio (h1/H) of head loss within the hole, h1, relative to the total head loss, H, is independent of loading conditions and constant for any particular hole shape (B/L), area (B∙L), and relative depth (L/T). A semi-empirical general solution is developed for a rectangle within the range of 0 ≤ B/L ≤ 1 with the solution converging to that for a strip for B/L→ 0 and to a circle for B/L→ 1. The solution gives calculated leakage in encouraging agreement with the experimental data.
•Investigates the factors affecting leakage through a rectangular hole in a geomembrane overlain by tailings.•Studies how hole geometry affects leakage.•Provides a semi-empirical general solution for predicting leakage through quasi circular, rectangular, and strip (L » B) holes.•Investigates the physical and hydraulic response of a blade cut slit with flat and uneven ground conditions. |
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AbstractList | Experimental data is presented for leakage through slits, square, and rectangular geomembrane defects overlain by silty sand tailings and underlain by a well-graded gravel. The rectangular GMB defects have a range of widths, B, lengths, L, and aspect ratios (L/B), and ratios of defect length to thickness of tailings above the geomembrane (L/T). A blade cut slit (or simulated stress crack) widens to an extent dependant on the subgrade and stress level. For L= 100 mm, increasing B (0.15 < B/L ≤ 1) from 1.6 (slit) to 100 mm (square), decreases the leakage from about twice to essentially the same as that for a circular hole of equal area. The ratio (h1/H) of head loss within the hole, h1, relative to the total head loss, H, is independent of loading conditions and constant for any particular hole shape (B/L), area (B∙L), and relative depth (L/T). A semi-empirical general solution is developed for a rectangle within the range of 0 ≤ B/L ≤ 1 with the solution converging to that for a strip for B/L→ 0 and to a circle for B/L→ 1. The solution gives calculated leakage in encouraging agreement with the experimental data. Experimental data is presented for leakage through slits, square, and rectangular geomembrane defects overlain by silty sand tailings and underlain by a well-graded gravel. The rectangular GMB defects have a range of widths, B, lengths, L, and aspect ratios (L/B), and ratios of defect length to thickness of tailings above the geomembrane (L/T). A blade cut slit (or simulated stress crack) widens to an extent dependant on the subgrade and stress level. For L= 100 mm, increasing B (0.15 < B/L ≤ 1) from 1.6 (slit) to 100 mm (square), decreases the leakage from about twice to essentially the same as that for a circular hole of equal area. The ratio (h1/H) of head loss within the hole, h1, relative to the total head loss, H, is independent of loading conditions and constant for any particular hole shape (B/L), area (B∙L), and relative depth (L/T). A semi-empirical general solution is developed for a rectangle within the range of 0 ≤ B/L ≤ 1 with the solution converging to that for a strip for B/L→ 0 and to a circle for B/L→ 1. The solution gives calculated leakage in encouraging agreement with the experimental data. •Investigates the factors affecting leakage through a rectangular hole in a geomembrane overlain by tailings.•Studies how hole geometry affects leakage.•Provides a semi-empirical general solution for predicting leakage through quasi circular, rectangular, and strip (L » B) holes.•Investigates the physical and hydraulic response of a blade cut slit with flat and uneven ground conditions. |
Author | Fan, Jiying Rowe, R. Kerry |
Author_xml | – sequence: 1 givenname: R. Kerry orcidid: 0000-0002-1009-0447 surname: Rowe fullname: Rowe, R. Kerry email: kerry.rowe@queensu.ca organization: Barrington Batchelor Distinguished University Professor, Canada Research Chair in Geotechnical and Geoenvironmental Engineering, GeoEngineering Centre at Queen's-RMC, Dept. of Civil Engineering, Queen's Univ., Kingston, ON, K7L 3N9, Canada – sequence: 2 givenname: Jiying orcidid: 0000-0002-4632-1980 surname: Fan fullname: Fan, Jiying email: jiying.fan@queensu.ca organization: GeoEngineering Centre at Queen's-RMC, Dept. of Civil Engineering, Queen's Univ., Kingston, ON, K7L 3N9, Canada |
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Snippet | Experimental data is presented for leakage through slits, square, and rectangular geomembrane defects overlain by silty sand tailings and underlain by a... |
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SubjectTerms | Aspect ratio Boundary conditions Defects Geochemistry Geomembrane Geosynthetics Graphene Heat transfer Leakage Rectangular defect Slit Slits Stress Tailings |
Title | A general solution for leakage through geomembrane defects overlain by saturated tailings and underlain by highly permeable subgrade |
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