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Subsidence Evaluatron For <br />Exhibit 60B South of Divide Mining Area Page 10 <br />• above bamer pillars or lease boundary barrier pillars than chain pillars because of their greater <br />rigidity (for example, the large tension crack on the north side of Lone Pine Gulch). <br />The tensile strains obtained from the curves in Figure 5 are believed to be conservative for the <br />South of Divide mining area- Maximum horizontal tensile strains, measured by the author in <br />bedrock during annual observations in the Apache Rocks area (in hard brittle sandstone, where <br />the only strain is revealed by cracks), were 0.0031 to 0.0062 (0.31 to 0.62 percent). These <br />values are about 35 to 45 percent less than those shown in Table 1. The tensile strain is <br />considered to be close to a maximum value for those observed by the author in the Apache rocks <br />area because 1) the features are located above the area if influence of a large solid coal pillaz, <br />and 2) no greater strain was observed in the Apache Rocks mining area. <br />South of Divide Wining Area: Maximum tensile and compressive horizontal strains are <br />calculated, using the values obtained from the West Elk Mine area, and as projected in Figure 5 <br />(Table 2). These values are believed to be conservative, based on the author's annual <br />observations over the last seven years in the Apache Rocks mining area. <br />• Panels EI to E8: For these eight panels, projected horizontal tensile strain ranges <br />from 0.004 to 0.022 (0.4 to 2.2 percent) where the planned coal extraction thickness <br />is 8 feet; from 0.007 to 0.027 (0.7 to 2.7 percent) where the extraction thickness <br />equals 12 feet; and from 0.007 to 0.039 (0.7 to 3.9 percent) where the extraction <br />thickmess equals 14 feet <br />• Horizontal compressive strain ranges from -0.004 to -0.024 (-0.4 to -2.4 percent) <br />where the extraction thickness equals 8 feet; -0.007 to -0.029 (-0.7 to -2.9 percent) <br />where the thickness equals 12 feet; and -0.007 to -0.042 (-0.7 to -4.2 percent) where it <br />equals 14 feet (fable 2). <br />• Panel E9: Predicted horizontal tensile strain in this single panel ranges from 0.018 to <br />0.027 (1.8 to 2.7 percent) where the coal extraction thiclmess equals 12 feet and 0.021 <br />to 0.031 (2.1 to 3.1 percent) where the extraction thickness equals 14 feet <br />Compressive strain this panel is predicted to range [irom -0.018 to -0.029 (-1.8 to -2.9 <br />percent) where the extraction thickness equals 12 feet and -0.021 to-0.034 (-2.1 to <br />-3.4 percent) where it equals 14 feet ("f"able 2). <br />5.3.2 Maximum Projected Depths of Surface Cracks <br />Curvature, or differential tilt (curvature is the second demative of vertical displacement with <br />respect to horizontal distance) of subsided rock layers causes horizontal strain. Comparison of <br />calculated curvature values and horizontal tensile strain derived from horizontal displacement <br />measurements, therefore, provides a means of calculating the depth of the neutral surface, and <br />hence the maximum depth of tension cracks from the surface. The neutral surface is the <br />boundary between tensile and compressive strain <br /> <br />831-032.690 WnghtWaterEngineers, Inc. <br />