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The maximum tensile strain generated by the differential settlements was examined <br />evaluate the integrity of a composite liner, which included a geomembrane and a clay Ia <br />The geomembrane can sustain tensile strains higher than those that the clay component olk <br />composite liner can sustain before tensile failure or tension cracks develop within the c <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 Finers. <br />From the maximum tensile strains versus soil/waste thickness ('1) characteristic cure <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 1.8 m (6 foot) long void is .0.2 percent. This stra <br />is within acceptable limits for a clay layer as illustrated on Figure 5 from Gilbert and Murpl <br />(6)• <br />On the basis of the above example analysis, a 2.7 m.(9 foot) thick.soil/waste layer CE <br />serve as a strain transition zone to prevent grade reversal, excessive tensile strains and stressc <br />developed in a Iiner 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 potential for 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 />settlement contours and containment liner design criteria. From this evaluation, the require <br />backfill thicknesses in different finer grades and liner systems can be determined and designe, <br />to prevent grade reversal and excessive tensile strains on a vertical expansion liner and leach <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 linea <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 />Geosynd)c ies '93 - Vancouver, Canada - 1507 <br />