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West Elk Mine <br />Differential vertical lowering of the continuous deformation and near surface zones causes <br />vertical displacement (S), horizontal displacement (Sh), tilt (M), and horizontal strain (E). Each of <br />these parameters is graphically illustrated in Figure 2, Exhibit 60B. In flat or gently sloping terrain <br />(slopes less than about 30 percent), surface profiles of subsidence depressions aze similaz to flexure <br />of fixed-end, laterally constrained beams. Tensile stresses aze present in azeas of positive curvature <br />decreasing to zero at the neutral surface before which they reverse to become compressive stresses <br />(see Figure 1, Exhibit 60B). <br />In flat or gently sloping terrain, vertical displacement typically increases inward from the <br />limit of the subsidence depression, is half the maximum value at the point of inflection, and <br />is at its maximum in the middle of the depression (also called subsidence basin or <br />subsidence trough). Horizontal displacement and tilt increase inward from the margin of <br />the depression to a maximum at the point of inflection and become zero again at the point <br />of maximum vertical displacement (Exhibit 60B, Figure 3). Maximum values of tilt, <br />curvature, and strain, discussed herein, apply only to slopes less than about 30 percent; <br />values may be greater on slopes steeper than 30 percent. <br />Positive curvature (convex upward) and horizontal tensile strain increase inward from the <br />margin of the depression to a maximum about midway between the depression margin and <br />the point of inflection and decrease to zero again at the point of inflection. Negative <br />curvature (concave upward) and compressive horizontal strain increase inward from the <br />• point of inflection to a maximum about midway between the point of inflection and the <br />point of maximum vertical displacement and decrease to zero again at the point of <br />maximum vertical displacement. <br />Maximum Vertical Displacement (Subsidence) <br />Longwall mining panels are defined by their panel width to overburden depth ratio as subcritical, <br />critical, or supercritical. The subsidence literature indicates that a panel width to overburden <br />depth ratio between 1.0 and 1.4 (average of 1.2) generally defines the critical longwall panels. <br />Those panels with panel width to overburden depth ratios exceeding this value aze defined as <br />supercritical, and those which are less are defined as subcritical. <br />cache Rocks Minin Area -Overburden depth above projected eastern longwall panel centers (B <br />Seam mining only) of the Apache Rocks mining azea ranges from about 950 feet neaz the head of <br />Sylvester Gulch to about 2,250 feet near the south end of West Flatiron {see Map 14 for details). <br />Overburden depth above the western panel centers ranges from about 500 feet to about 1,050 feet <br />for the E Seam and 700 feet to 1,250 feet for the B Seam. <br />With a projected longwall panel width of 950 feet, and assuming that the chain pillaz dimensions <br />will be similaz to the current West Elk mining azea, maximum subsidence (Sm at) is predicted as <br />follows: <br />• Eastern Panels -The eastern panels, which trend about N80°W, will range from about critical <br />to subcritical in width in the west ends of panels El, E2, E3, and E4 SE (numbered from north <br />2.05-113 Revised Navember2004PR10 <br />