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used to analyze the effect of"void-induced" differential wAtlernent on a liner system constructs <br /> underneath the proposed vertical of an existing landfill. <br /> ELASTIC SOLUTION MODEL APPLIED TO A VERTICAL EXPANSION LINE] <br /> SYSTEM DESIGN <br /> Differential Settlement Mechanism. Differential settlement in a vertical expansion liner syster <br /> takes place when the surrounding waste in the existing landfill moves toward and, in the extrem <br /> case, fills in the void created*by the degradation of a large object such as a large househol, <br /> appliance. A model was developed to analyze this mechanism, as shown on Figure 1. In thi <br /> model, soil and waste are represented by a half space medium. Surface differential settlement <br /> in the model are influenced by the following factors: <br /> • Engineering properties of the medium; .. <br /> • The thickness of the medium over the void (T); <br /> • The containment liner system grade (a); and <br /> • The void size (length L,, x width 4 x depth D). <br /> { To quantify the influence of these factors on surface deformation, an influence function <br /> ' is first developed. The differential settlement can then be calculated and evaluated with thf <br /> influence function. <br /> The following sections describe the approach, assumptionsand procedures s in the <br /> application of the elastic solution model, to the design of a liner constructed for the vertical <br /> expansion of an existing landfill. <br /> CL <br /> T <br /> D <br /> Iy, <br /> Figure I Differential settlement model - three dimensional <br /> Elastic Solution Model <br /> Gwsynthetics'93-Vancouver.Canada-1501 <br />