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used to analyze the effect of"void-induced" differential settlement on a liner system constructe <br /> underneath the proposed vertical of an existing landfill. <br /> ELASTIC SOLUTION MODEL APPLIED TO A VERTICAL EXPANSION LINE) <br /> SYSTTAI 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 I. In thi <br /> model, soil and waste arerepresented 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 sysiem grade (a); and <br /> • The void size (length L. x width Ly x depth D). <br /> ° <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 the <br /> influence function. <br /> The following sections describe the approach, assumptions and procedures used 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 /> a <br /> T <br /> D <br /> `Y <br /> Figure I Differential settlement model - three dimensional <br /> Elastic Solution Model <br /> C, o=ynthctics'93-vancouvcr,Canada-1501 <br />