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The maximum tensile strain generated by the differential settlements was examined <br /> evaluate the integrity of a composite Iiner, which included a geomembrane and a clay lay(-- <br /> The geomembrane can sustain tensile strains higher than those that the clay component of <br /> _ composite liner can sustain before tensile failure or tension cracks develop within 'the cl <br /> component. Therefore, 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 (T) characteristic cury <br /> a soil layer thickness M equals to 2.7 m (9 feet), the maximum tensile strain caused by the 0 <br /> m (3 foot) wide by 0.9 m (3 foot) deep by 1.9 m (6 foot) long void is.0.2 percent. This sera <br /> is within acceptable limits for a clay layer as illustrated on Figure 5 from Gilbert and Murpt <br /> On the basis of the above example analysis, a 2.7 m.(9 foot) t-hick.soil/waite.layer a <br /> serve as a strain transition zone to prevent grade reversal, excessive tensile strains and stresst <br /> 1 developed in a liner system. Therefore, a 2.7 m (9 foot) thick layer of soil or "select" wast <br /> can be placed, in this example, before constructing the vertical landfill containment liner. <br /> Summary For slope angles other than the 7 percent used in the example analysis, the tensil <br /> strains and en-tial for - <br /> p� grade reversal on a liner surface can be evaluated according to th <br /> thickness versus maximum tensile strain and thickness versus liner grade characteristic curve, <br /> I 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 design, <br /> to prevent grade reversal and excessive tensile strains on a vertical expansion liner and leachat <br /> _ collection system. <br /> CONCLUSIONS <br /> The Elastic Method 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 Britist <br /> NCB's field mining subsidence surveys. The method provides a conservative estimate of th( <br /> potential differential settlement, and therefore can be used to design a vertical expansion liner <br /> system. <br /> Characteristic curves 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 /> size, 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 characteristic 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 void and the surface of the liner, to reduce the differential settlement to <br /> Geosyndje&s'93-Vancouver.Canada- 1507 <br />