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Fall 2009 Subsidence and Geologic Field Observations <br />Box Canyon, Apache Rocks, and South of Divide Mining Areas <br />• 3.0 SUBSIDENCE PREDICTION <br />A condensed discussion of the subsidence prediction model that was developed for the West Elk <br />Mine is included in Appendix A of this report for the reader's convenience. More details are <br />available in Exhibit 60 (rev. 1998), Exhibit 60B (2006), Exhibit 60C (2004), Exhibit 60D (2004), <br />and Exhibit 60E (2007). Although the basic subsidence prediction concepts are similar for the <br />Apache Rocks and Box Canyon mining areas, the focus of this section is on the new longwall <br />mine that is under development in the SOD mining area, an area where the topography is more <br />subdued and the hydrologic environment is different. <br />The subsidence prediction model used at the West Elk Mine is based on concepts developed by <br />the National Coal Board (NCB) of the United Kingdom (UK) in various coal mining areas. This <br />concept is based on many observations that the downwarping of the ground in response to <br />underground mine voids causes vertical displacement (S), horizontal displacement (Sh), tilt (M, <br />change in slope), curvature (C), and horizontal strain (E). Only the three most important <br />• subsidence parameters, vertical displacement, tilt, and strain are discussed. <br />Based on many subsidence measurements over longwall mining areas in the UK, it was <br />determined by investigators at NCB (1975) and by such important subsidence investigators as <br />Wardell (1971), that the amount of tilt and horizontal strain are proportional to the ratio of <br />maximum vertical displacement to overburden depth to the coal seam being mined (Sm/d). For <br />example, under this concept, tilt and strain double where the coal extraction thickness doubles at <br />a constant overburden depth, or where the overburden thickness decreases by one-half and the <br />coal extraction thickness remains constant. <br />The subsidence prediction model used in analysis of the West Elk Mine incorporates the <br />subsidence measurements specific to the mine based on the concepts developed by the NCB. <br />The model can be further calibrated and refined as more measurements are made. All survey <br />data have been collected relative to E-seam mining in the SOD Mining Area above Longwall <br />Panel E1. Analysis of these data will be performed in 2010. The E-seam Subsidence Monitoring <br />• Grid (with surveys completed during spring 2007, fall 2008, spring 2009, and fall 2009) is <br />831-032.791 Wright Water Engineers, Inc. Page 10 <br />April 2010