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Tonia Perkins <br />July 31, 2024 <br />Page 22 <br /> <br />Agapito Associates, Inc. <br />lowest near the entries and exhibited a relatively smooth transition toward the maximum <br />displacements in the areas of deepest cover. The absence of sharp transitions in the displacement <br />contours verifies that the slope remains stable in response to mining, as no shearing planes were <br />formed in the rock mass. <br />Figure 17 shows major principal stress contours through the pillars. Note that in FLAC3D, <br />compressive stresses are negative, and thus, the major principal stress is referred to as the minimum <br />principal stress because it has a large negative value. The yellow contours through the pillar ribs, <br />indicating a current support capacity of 60,000 to 70,000 psf, or 416 to 486psi. <br />Overall, the results of the base case model show that the pillars perform as expected, and the global <br />stability of the N-Pit slope is not impacted by highwall mining of the M and Q seams. <br />Results – Strength Reduction <br />To further evaluate the stability of the pillars and the slope, the model was run with strength <br />reduction factors of 2.0 and 2.5 in the coal seams. These represent 50% and 60% reductions in <br />strength, respectively. <br />Figure 18 shows yield indicators in the pillars with a strength reduction factor of 2.0. In this case, <br />the onset of yield through the coal is evident, but the pillars remain stable. The stability is verified <br />by the convergence of the model to a state of equilibrium. Figure 19 shows major principal stress <br />contours through the pillars, with reduced stress magnitudes at the ribs verifying the yielded state <br />of that material. Figure 20 shows displacements throughout the model at equilibrium, which are <br />slightly higher than the base case. The color scale is kept the same as the base case figure to <br />accommodate a comparison. Overall, the results of the model with a stress reduction factor of 2.0 <br />suggest that the coal pillars are approaching a state of limit equilibrium, but the safety factors are <br />still above 1.0. <br />With a strength reduction factor of 2.5, the pillars in the M Seam fail before excavation commences <br />on the Q Seam. The model did not converge at this stage, but was terminated when displacements <br />surpassed 1.5 ft. Figure 21 shows the yield indicators through the pillars in the M Seam, where the <br />pink color indicates that shearing was occurring when the model was terminated (the “shear-n” <br />designation refers to “shearing now” in FLAC3D). Figure 22 shows displacements exceeding <br />1.0 ft throughout the overburden when the model was terminated. <br />Overall, the results of the strength reduction technique suggest the pillars have a safety factor <br />closer to 2.0. The relative quickness in which the pillars failed with a strength reduction factor of <br />2.5 indicates that limit equilibrium was surpassed by a significant margin. <br />Block Sliding Analysis <br />To evaluate the likelihood of a block sliding mechanism due to failure of the M Seam web pillars, <br />an additional model was constructed to represent half of one panel, with support from the barrier <br />pillar explicitly represented. The revised model accounts for a 96-ft wide “slice” of the south slope <br />of the N-Pit, with 5 entries, 4.5 web pillars, and half of a barrier pillar. With symmetry conditions <br />on each of the lateral boundaries, the model behaves as if it were situated within an infinitely long