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° The maxim m tensile strain'generated by the differential settlements w <br /> as evaluate the int.--gr'ty of,a composite Finer, which included a exami <br /> The geomembrane can sstain tensile strains higher than those th t the clay co membrane and a clay .. <br /> composite Liner ca sustain before tensile failum or tension cracks develop within the cl <br /> mponcnt of <br /> component. The fore, the tensile strain limit of the clay component can be used as <br /> acceptable design criterion to evaluate the integrity of composite liners. <br /> From the maximum tensile strains versus soil/waste thickness <br /> (T) characteristic cure <br /> a soil layer thieknes <br /> (1) equals to 2.7 m (9 feet), the maximum tensile strain caused by the 0 <br /> m (3 foot) wide by 0.9 in (3 foot) deep by I-9 1n (6 foot) long void is.0.2percent "liar <br /> . This s <br /> is within acceptable limits for a clay layer as illustrated on Figure 5 from Gilbert and Murpl <br /> (6)• <br /> On the basis f the above c,. lcm.(9 > <br /> xamp analysis, a 2.7 foot) thick.soil/waite layer c� <br /> serve as a strain Wa " 'tion zone to prevent grade reversal, excessive tensile strains and stresst <br /> developed in a liner stem. Therefore, a 2.7 m (9 foot) thick layer of soilor "select" wast <br /> can be placed, in thi example, before constructing the vertical landfill containment liner. <br /> Summ--a'y- For slope angles other than the 7 percent used in the example analysis, the tensil <br /> ? strains and potenxial or <br /> grade reversal on a liner surface can be evaluated according to th <br /> thickness versus maxim.um tensile strain and thickness versus liner grade characteristic curve! <br /> settlement contours and containment liner design criteria. From this evaluation, the require <br /> backfill thicknesses in different liner grades and liner systems can be determined and desig <br /> to prevent grade reversal and excessive tensile strains on a vertical expansion liner and leach <br /> collection system. <br /> CONCLUSIONS <br /> The El-astic Met lod-provides a conservative and efficient method.to evaluate the potentia <br /> differential settlement caused by a void within an existing landfill when a vertical expansion o: <br /> the landfill is planned. The results from this method closely agree with the results from BritisE <br /> NCB's field mining su sidence surveys. The method provides a conservative estimate of the <br /> potential differential se ttement, and therefore can be used to design a vertical expansion liner <br /> system. <br /> Characteristic cu: es of thickness over the void (T) versus maximum-tensile strain, and <br /> of thickness (T) versus maximum differential settlement slope can be.developed for specific void <br /> S1ze, as shown in the example presented in this paper. These characteristic curves can then be <br /> used for the design of Containment liner systems in a landfill vertical expansion. <br /> As shown in the h-aracteristic curves provided, the differential settlement diminishes as <br /> the soil/waste thickness over the void increases. Thus, it is possible to increase the distance <br /> between the .potential vo d and the surface of the liner, to reduce the differential settlement to <br /> Gcosynthebcs'93-vawouver.Canada- Iso7 <br />