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Subsidence Evaluation for the <br />Exhibit 60E Southern Panels, Apache Rocks West, & Sunset Trail Mining Areas Page 17 <br /> <br />831-032.923 Wright Water Engineers, Inc. <br />December 2021 <br />5.3.1.3 Maximum Horizontal Strain <br />Maximum positive horizontal strain (Em) measured at the West Elk Mine monitoring network <br />ranges between 1.1 and 1.4 times (Sm/d) (or 0.0058 and 0.0102—that is 0.58 and 1.0 percent); <br />maximum negative strain between -0.20 and -4.0 times (Sm/d) (or 0.0009 and 0.0307—0.09 to 3.0 <br />percent) (Table 1). The range of horizontal tensile strain in four different mine areas of the Western <br />United States studied by Dunrud is 0.45 to 3 (Sm/d). The curves projected for tensile and <br />compressive strain in the Southern Panels mining area, based on the West Elk Mine monitoring <br />network and the National Coal Board of the United Kingdom, are shown in Figure 5. <br />Maximum tensile and compressive strain is significantly greater above large barrier pillars and <br />rigid chain pillars and mine boundaries than it is above longwall mining faces. This is because <br />tensile strains caused by mining the two adjacent panels are additive above the common rigid chain <br />pillars or unyielding mine panel boundary pillars. Cracks tend to be wider and deeper above barrier <br />pillars or the interface of mined and unmined coal at the limits of mining (e.g., mineable coal or <br />lease boundary) than chain pillars because of their greater rigidity (for example, the large tension <br />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 />Southern Panels mining area. Maximum horizontal tensile strains, measured Dunrud in bedrock <br />during annual observations in the Apache Rocks West area (in hard brittle sandstone, where the <br />only strain is revealed by cracks), were 0.0031 to 0.0062 (0.31 to 0.62 percent). These values are <br />about 35 to 45 percent less than those shown in Table 1. The tensile strain is considered to be <br />close to a maximum value for those observed by Dunrud in the Apache Rocks West mining area <br />because 1) the features are located above the area if influence of a large solid coal pillar, and 2) no <br />greater strain was observed in the Apache Rocks West mining area. <br />Southern Panels Mining Area: <br />Maximum tensile and compressive horizontal strains are calculated, using the values obtained from <br />the area of the West Elk Mine, and as projected in Figure 5 (Table 2). These values are believed <br />to be conservative, based on Dunrud’s annual observations in the Apache Rocks West mining area. <br />• Panels E1 to E8 and E14 to E17: For these panels, projected horizontal tensile strain <br />ranges from 0.005 to 0.028 (0.5 to 2.8 percent) where the planned coal extraction <br />thickness is 9 feet, and from 0.007 to 0.044 (0.7 to 4.4 percent) where the extraction <br />thickness equals 14 feet. <br />Horizontal compressive strain ranges from -0.005 to -0.030 (-0.5 to -3.0 percent) where <br />the extraction thickness equals 9 feet, and -0.007 to -0.047 (-0.7 to -4.7 percent) where <br />it equals 14 feet (Table 2). <br />• Panels B26 to B29: For these panels, projected horizontal tensile strain ranges from <br />0.004 to 0.017 (0.4 to 1.7 percent) where the planned coal extraction thickness is 9 feet, <br />and from 0.007 to 0.026 (0.7 to 2.6 percent) where the extraction thickness equals 14 <br />feet.