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Dry Fork Mining Area: Maximum tensile and compressive horizontal strains are calculated, using <br />the values obtained from the West Elk Mine area, and as projected in Figure 5 (Table 2). These <br />values are believed to be conservative, based on Dunrud's annual observations over the last seven <br />years in the Apache Rocks mining area. <br />• Panels E2 to E6: For the five panels that extend into the Dry Fork mining area, projected <br />horizontal tensile strain ranges from 0.0059 to 0.0085 (0.6 to 0.9 percent) where the planned <br />coal extraction thickness is 9 feet and from 0.0062 to 0.010 (0.6 to 1.0 percent) where the <br />extraction thickness equals 10 feet. <br />Horizontal compressive strain ranges from -0.0059 to -0.0092 (-0.6 to -0.9 percent) where the <br />extraction thickness equals 9 feet and -0.0066 to -0.0106 (-0.7 to -1.1 percent) where the thickness <br />equals 10 feet (Table 3). <br />5.3.2 Maximum Projected Depths of Surface Cracks <br />Curvature, or differential tilt (curvature is the second derivative of vertical displacement with respect <br />to horizontal distance) of subsided rock layers causes horizontal strain. Comparison of calculated <br />curvature values and horizontal tensile strain derived from horizontal displacement measurements, <br />therefore, provides a means of calculating the depth of the neutral surface, and hence the <br />maximum depth of tension cracks from the surface. The neutral surface is the boundary between <br />tensile and compressive strain. <br />In terrains with slopes less than about 30 percent, the depth of the neutral surface can be estimated <br />by dividing the maximum horizontal strain values by those of maximum curvature at a given <br />location. The calculated depth of the tension zone to the neutral surface-the boundary between <br />tension above and compression below-ranges from 50 to 100 feet in the subsidence monitoring <br />network at West Elk Mine. Crack depth may be much less than this projected 50 to 100 foot range <br /> <br />of maximum values because most of the monitoring network was located on slopes exceeding 30 <br />percent. An unpublished study for the U. S. Bureau of Mines (Engineers International) indicated that <br />surface crack depth rarely is greater than 50 feet. Cracks will also be less extensive or terminate <br />where shale and claystone layers occur. Based on annual field subsidence observations, maximum <br />crack depth in bedrock in the South of Divide and Dry Fork mining areas is estimated to be 1) 5 to <br />15 feet in terrain sloping less than, or equal to, 30 percent, 2) 10 to 35 feet in terrain sloping more <br />than 30 percent, and 3) 40 to 50 feet in thick, brittle sandstones in ridges (Tables 2 and 3). <br />Crack depth will likely be at a maximum value above massive coal barriers. Crack depth may <br />therefore be greatest above the 700-foot-wide protective barrier system projected between longwall <br />panels E4 and E5 (Figure 1). The crack depth is projected to be less (probably 10 to 20 percent <br />less) above the panel chain pillars, where even the rigid pillars are predicted to yield 10 to 30 <br />percent of the coal extraction thickness (Tables 2 and 3). <br />Cracks that occur above the mine panel area also tend to close, once mining faces move out of the <br />surface area of influence (DeGraff and Romesburg 1981). Any local bed separations during active <br />subsidence between rocks of different strengths (Figure 2) will likely close once equilibrium <br />conditions occur. However, any cracks present above rigid chain pillars, barrier pillars, or mine <br />boundaries may remain open where permanent tensile stresses remain after mining is completed <br />due to the convex curvature of the subsidence profile. <br />During the past ten years of annual observations in the West Elk mining area by Dunrud (2006, <br />p. 11), particularly the Apache Rocks mining area, no cracks were observed above mined-out <br />longwall panels in colluvium more than an estimated ten feet thick. No cracks have been observed <br />in alluvium above mined-out longwall panels. No cracks were observed in the alluvium and <br />18 colluvium of Sylvester Gulch and Deep Creek (estimated thickness range is 25 to 150 feet) during <br />periodic field observations in the Apache Rocks and Box Canyon mining areas. The near-surface <br />alluvial material consisted of primarily sand, silt, clay, and soil in the two areas mentioned, and was <br />located above rigid pillars and panel boundaries where the overburden depth ranges from 800 to <br />Tetra Tech - 050717/P 11