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West Elk Mine <br />Neaz-Surface Zone <br />The neaz-surface zone, which typically consists of weathered bedrock, colluvium, and soil <br />ranging in depth from a few feet to a few tens of feet, may deform differently than the underlying <br />bedrock. Field studies by Mr. Dunrud indicate that near-surface colluvium and alluvium, <br />which consist of predominantly clay and silt, can undergo significantly more extension <br />without rupturing than can the underlying material. In both the Somerset, Colorado and <br />Sheridan, Wyoming areas colluvium and alluvium 5 to 10 feet thick were observed to cover <br />cracks as much as 10 to 14 inches wide so that there was no indication of the underlying <br />ruptures. Mr. Dunrud's observations in the Bear Creek area in 1976 are discussed in the <br />Final Environmental Impact Statement for the Iron Point Coal Lease Tract and Elk Creek <br />Coal Lease Tract (2000). <br />The zone of continuous deformation, which is transitional to the overlying near-surface zone <br />and to the underlying zone of fracturing, undergoes differential vertical lowering and <br />flexure as laterally-constrained plates (in three dimensions) or beams (in two dimensions). <br />With flexure, shear occurs at the boundaries of rock units with different strength and <br />stiffness, characteristics, such as sandstones and shales. Zones of tension above the neutral <br />surfaces of a rock unit, for example, become compressive above the boundary with another <br />rock unit and below its neutral surface (Figure 2, Enlargement 2 of Exhibit 60B). Any <br />cracks, therefore, which occur in the tension zone of a rock unit, terminate at the neutral <br />surface, because the unit is in compression below this point. <br />Maximum Vertical Disp[acemeny Tilt, Horizontal Straln, and Depth of Surface Cracks <br />Differential vertical lowering of the continuous deformation and near surface zones causes <br />vertical displacement (S), horizontal displacement (Sh), tilt (lVi), 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 are similar to flexure <br />of fixed-end, laterally constrained beams. Tensile stresses are 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 />1.05-112 RevisedJ~me 2005 PR/0 <br />