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Mountain Coal Company, L.L.C. Exhibit 51 <br />West Elk Mine Lower Refuse Pile <br />The stability of the LRP, during an earthquake event, was also investigated using an assumed maximum <br />horizontal and vertical ground acceleration of 0.1 g (earthquake loading factors). The minimum <br />pseudostatic factor of safety analysis was found to be 1.26 for Profile 3. Critical failure circles and their <br />associated factors of safety can be found in Appendix K. The complete results of the entire slope stability <br />analysis can be found in Table 9.0. <br />Table S. Summary of Stability Analysis Results Factors of Safety (F.S.) <br />Profile: Percentage Fines' <br />Static: Factor of Safety <br />Pseudostatic: Earthquake F.S. <br />Profile 1: 7.6 % <br />2.52 <br />1.89 <br />10% <br />1.67 <br />1.30 <br />20% <br />2.28 <br />1.72 <br />30% <br />2.54 <br />1.90 <br />Profile 2: 7.6 % <br />2.23 <br />1.76 <br />10% <br />1.63 <br />1.27 <br />20% <br />1.96 <br />1.54 <br />30% <br />2.24 <br />1.77 <br />Profile 3: 7.6 % <br />2.65 <br />2.14 <br />10% <br />1.63 <br />1.26 <br />20% <br />2.22 <br />1.77 <br />30% <br />2.68 <br />2.17 <br />1. Percentage fines represents the amount of coal, as a percentage of the total amount of coal, that has <br />passed the #200 sieve. <br />The stability analysis results indicated that no keyway was required for the Phase V reconfiguration; <br />however, two keyways were cut along the north and east perimeters to properly connect the existing refuse <br />fill with Phase V fill. The keyways were located: 1) along the base of the existing north and east faces of <br />the LRP, and 2) along the existing bench which extends around the north and east faces at the 6230 -feet <br />contour. Keyways were cut with 2H:1 V sideslopes to a minimum relative depth of 2 -feet and had a <br />minimum width of 10 -feet. The keyway along the existing bench was offset from the outside edge a <br />minimum of 10 -feet. <br />An additional stability analysis was completed in September 2009 (per TRl 18) to determine if the loading <br />resulting from the construction of the Coal Preparation Plant and associated facilities atop the LRP would <br />affect the stability. The analysis resulted in a factor of safety greater than 1.5 indicating that the LRP would <br />remain stable. A copy of this analysis is included at the end of Exhibit 51. <br />24 <br />