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"D" Seam Longwall Subsidence Page 39 August 17, 1998 <br />will be carried by the rubble. Whatever part of the overburden <br />• load above the panels is carried by the collapsed roof rock will <br />reduce the gateroad pillar crushing subsidence developing at the <br />ground surface over the center of the adjacent panels. It would <br />probably be more realistic, but less conservative, to assume that <br />only one-half of the subsidence related to gateroad pillar crushing <br />would be transferred to the centerlines of the outside panels in <br />the groups of three panels. <br />It is unlikely that subsidence resulting from gateroad pillar <br />failure will result in significant vertical ground surface <br />subsidence across the planned 280-foot wide barrier pillars between <br />panel groups. The minimum width/height ratio of the 17-foot high <br />barrier pillar between panel groups between Panel #3 and Panel #9 <br />is more than sixteen. The maximum width/height ratio of the <br />10.9-foot high barrier pillar between Panel #12 and Panel #13 is <br />nearly twenty-seven. The extremely flat barrier pillars are <br />extremely strong. <br />The average gateroad pillar stresses and vertical surface <br />subsidence predicted when the gateroad pillars fail were calculated <br />with Abel and Lee's method. Their method, shown graphically on <br />Figure 5 was modified for an overburden density of 150 PCF instead <br />of their original 144 PCF. The actual pillar stress on the 50-ft <br />wide pillar will be somewhat higher immediately before failure <br />because the narrower 30-ft pillar should crush first, initially <br />shedding its load to the wider gateroad pillar. The magnitude of <br />vertical gateroad pillar stress should be sufficient to crush the <br />gateroad pillars when the second adjacent panel is mined past. <br />Figure 6 presents the predicted surface subsidence resulting from <br />the planned crushing of the 8.5-foot high gateroad pillars over the <br />full range of overburden contour depths; 500 feet, 1000 feet, 1500 <br />feet, 2000 feet and 2500 feet. <br />Subsidence predicted from gateroad pillar crushing was <br />calculated using the method indicated on Figure 5. The only <br />adjustment applied was to change the overlying rock density <br />constant, from 0.0226 Mpa per meter of depth, equivalent to 149 <br />PCF, to 0.0235 Mpa meter of depth, equivalent to 150 PCF. The <br />following example for the gateroad pillar between Panel #1 and <br />Panel #2 at 1500-ft (457m) of depth explains the method. <br />o.ozssies~t = 119.6 MPa (17340 si) <br />L max = 1-0.91 p <br />Lma.,~ w = 119.6 ( Sp ) = 20.3 <br />Subsidence($) = 8.469 + 11.95 In (20.3] = 99.4$ <br />Subsidence(ft) _ °ioo (8.5) = 3.76-ft (Table 7) <br />• <br />39 <br />