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Rock Mechanics for Natural Resources and Infrastructure SBMR 2014 – ISRM Specialized Conference 09-13 September, Goiania, Brazil © CBMR/ABMS and ISRM, 2014 SBMR 2014 Slope Stability Analysis of Open Pit Highwall Mining Excavations – A Parametric Study Shivakumar Karekal CSIRO Earth Science and Resource Engineering, Brisbane, Australia, shivakumar.karekal@csiro.au Srikrishnan Siva Subramanian Central Institute of Mining and Fuel Research, Regional Centre, Nagpur, India, srikrishnan16@gmail.com John Loui Porathur Central Institute of Mining and Fuel Research, Regional Centre, Nagpur, India, johnlouip@yahoo.com SUMMARY: Highwall mining operation involves driving a series of parallel unsupported, unmanned and unventilated excavations into a coal seam exposed at the open pit Highwall using a remotely operated continuous miner with attached conveying system. These parallel excavations are separated by web pillars of pre-designed width which are critical to the Highwall mining operations. The Highwall slope must remain stable during Highwall mining operation to ensure safety of workers and machinery. In this paper, Highwall slope stability is investigated with respect to different Highwall mining parameters using FLAC3D numerical modeling software. The parameters included in the study are: (i) single seam and multiple seams Highwall mining excavations with different width to height ratios; (ii) different Slope angles; (iii) different excavation heights; and (iv) different cover depths. A narrow strip of rock mass is considered by taking a plane of symmetry. The modeling results reveal that stability of open pit slopes have profound influence on the Highwall mining parameters, and the web pillar design can affect the stability of Highwall slopes. In designing Highwall slopes for an open pit, the design must include Highwall mining excavations, otherwise, near critical failure slopes could become critical and fail with Highwall excavations. In authors’ knowledge, this work is the first attempt at exploring the effect of Highwall mining parameters on overall slope stability. KEYWORDS: Highwall mining, slope stability, 3D numerical modeling, multi-seam modeling 1 INTRODUCTION Highwall mining operation involves driving a series of parallel unsupported, unmanned and unventilated excavations into a coal seam exposed at the open pit Highwall using remotely operated continuous miner with attached conveying system. These parallel excavations are separated by the web pillars of pre-designed width which are critical to the Highwall mining operations (Porathur et al, 2013). Geological settings and the web pillar design affect the Highwall stability. During Highwall mining operation, the Highwall slope must remain stable to ensure safety of workers and machinery. In the US, it has been identified that slope failures have been triggered by the collapse of web pillars (Zipf, 1999; Zipf and Bhatt, 2004). For a successful Highwall Mining operation, one needs to ensure that the stability of both web pillars and Highwall slope are maintained. Further, there is hardly any work carried out on interdependency of web pillar stability and the overall slope stability, and this requires more elaborate studies. The main aim of this paper is to gain understanding of the variation of Factor of safety (FOS) of Highwall mining slope with or without Highwall excavations, and with different Highwall mining parameters such as width to height ratios of web pillars, cover depth, seam excavation heights and slope angles. In authors’ SBMR 2014 knowledge, this work is the first attempt at exploring the effect of Highwall mining parameters on overall slope stability. 2 NUMERICAL MODELLING A three dimentional continuum model was used for stress analysis for assessing overal Highwall slope stability for different Highwall mining parameters. A numerical modelling code called FLAC3D developed by Itasca Consulting Group, USA (Itasca, 2006) was used for the parametric study by varying Highwall mining parameters. FLAC3D is a contiuum finite difference code widely used for geotechnical analyses of rock and soil structures. For numerical modelling, a narrow rock mass strip was considered by taking the plane of symmetry. Gravity stresses were considered. Roller boundaries were applied on either sides and fixed boundary was considered along the bottom. The 3D mesh adopted for the numerical modelling for the rock mass strip is shown in Figure 1. The open pit excavation was carried out in staged manner by progressively excavating the benches. Figure 2 shows the excavated pit up to a single coal seam horizon. For multiple seams Highwall excavation, the pit is excavated up to top seam horizon first (Figure 3) followed by the excavation up to bottom seam horizon excavation (Figure 4). Slope stability analysis was undertaken without Highwall mining excavations and with Highwall mining excavations for different width to height ratios of web pillars and for different cover depths, excavation heights and slope angles. Different Highwall excavation lengths into the coal seams from the pit surface were used and excavation lengths depended on the cover depth and slope angles (Table 1). Table 1. Different Highwall excavation lengths for different slope heights and slope angles. Slope Angle Slope Height(m) 45° 60° 70° 50 Penetration (excavation lengths into the coal seam), (m) 50 30 19 100 100 59 37 150 150 88 55 Figure 1. Three dimensional numerical grid used for numerical modeling which is extruded out of plane across the rock mass strip. Figure 2. Excavation of open pit up to a single coal seam horizon. Figure 3. Pit after excavating up to top seam horizon. Figure 4. Pit after excavating up to bottom seam horizon. SBMR 2014 2.1 Slope Stability Analysis using Shear Strength Reduction Method The shear strength reduction method is used to get the limiting shear strength properties of cohesion (c) and friction angle (φ) by gradually reducing these properties according to the following equations (Lorig et al, 2000). c trial = (1/F) (1) φ trial = arctan {(1/F) tan φ } (2) where c is cohesion, φ is friction angle and F is factor of safety. In the above technique incorporated in FLAC3D, it is not necessary to specify the shape of the failure surface in advance, as the critical failure surface evolves automatically. The anticipated failure surface has been determined for the limiting case of overall slope stability by reducing the strength parameters of the rock mass until hypothetically bringing the slope to an unstable state. The ratio between the actual shear strength and the model strength at an unstable state is the Factor of safety. 2.2 Rock Mass Properties The rock mass properties used in the 3D numerical modeling for slope stability analysis are given in Table 2. A Mohr Coulomb material model was used instead of strain softening model. It may be noted that low and same cohesion values were used for both the rock types in order to facilitate shear strength reduction (SSR) method to reduce cohesion and friction equally for both the rock types. The assumed lowcohesion value for the coal can cause web pillar failure by undergoing plasticity. Table 2. The rock mass parameters used in this study. Rock Young’s Modulus (GPa) Poisson's Ratio Density (kN/m3) Cohesion (KPa) Friction Angle Sand- stone 1 0.2 24 250 35° Coal 0.5 0.2 15 250 35° 3 RESULTS AND DISCUSSION Parametric results are discussed in the following sections which include variation in Highwall Factor of Safety (FOS) for various width to height ratios of web pillars, depth of cover (slope heights), slope angles, coal seam excavation heights and excavation of single and multiple coal seams. 3.1 Effect of Slope Angle on Slope Stability Prior to Highwall Mining Excavations Slope stability was evaluated for the rock mass properties (Table 2) before the Highwall mining excavations were made (Pre Highwall Mining stage) for different slope angles, namely, 45°, 60° and 70° and for different depths of cover of 50m, 100m and 150m. An example of the evolved failure surface using the stress reduction method is shown in Figure 5 prior to Highwall mining excavations for 100m cover depth (slope height). The variation in safety factor of slopes for different slope angles at different cover depths can be seen in Figure 6. As expected, the safety factor decreases with the increase in the slope angle. Further, it can be seen in the Figure that the values of factor of safety reduce with the increase in the slope heights or the cover depths. The factor of safety takes a value of 1.0 at a slope angle of 70° when the depth of cover (i.e., slope height) is about 150m from the toe of the slope for the assumed rock mass properties. The decrease in factor of safety was about 26% when cover depth increased from 50 to 100m and about 40% when the cover depth increased from 50 to 150m for pre Highwall mining for the considered slope configuration and the model properties. SBMR 2014 Figure 5. Evolved failure surface for 100m cover depth at 45° slope angle, prior to Highwall excavation. Figure 6. Variation in factor of safety of slope for different slope angles and for different depth of cover (slope height) prior to Highwall mining excavation. 3.2 Effect of w/h Ratios of Web Pillars on Slope Stability after Highwall Mining Excavations The factor of safety of slopes after Highwall mining excavations was analysed for different w/h ratios of web pillars left between the parallel excavations. Figures 7, 9 and 11 show the variation in factor of safety of slope against different w/h ratio for different slope angles and for different depth of covers. As can be seen in Figure 7 for 50m cover depth, with increased w/h ratio of web pillars, the factor of safety improves in general. This is due to the fact that as w/h ratio increases the web pillar strength between the parallel excavations increases, reducing the pillar deformation and hence improves the factor of safety of the overall slope. In the same figure (Figure 7), factor of safety of slopes prior to Highwall mining excavations (Pre HWM) are also plotted for comparison with factor of safety of slope after excavations (Post HWM) for different slope angles. With excavations, the slope factor of safety decreased quite remarkably as can be seen in the figure especially for lower slope angles. Further, as slope angle increases, the factor of safety decreases. However, with increase in slope angle, the factor of safety value decreased more for non excavated slope compared to excavated slopes. The excavations do play a predominant role in decreasing the factor of safety of slopes at lower slope angles. The evolved failure surface for at w/h ratio of 0.63 at 50m cover depth is shown in Figure 8. This case represents excessive pillar deformation due to pillars failure at low w/h ratio. Figure 7. Variation in factor of safety of slope against different w/h ratios for different slope angles - 50m depth of cover. Figure 8. Evolved failure surface using SSR method for 50m cover depth at 45° slope angle for Highwall mining excavation with web pillar w/h ratio of 0.63. Pillar failure induced slope failure can be seen. SBMR 2014 Figure 9 shows the safety factor of slopes for non-excavated slope decreases with the increased depth of cover to 100m for various slope angles compared to 50m depth of cover in Figure 7. The decrease in factor of safety was about 26% when cover depth increased from 50 to 100m. The safety factor of the slope in Pre HWM stage when depth of cover is 100m at 45° slope angle is 1.86 as opposed to 2.49 for 50m depth of cover at the same slope angle. With the Highwall Mining extractions, the safety factor of the slope reduces to 1.57, 1.60, 1.61 and 1.68 corresponding to w/h ratios 0.79, 0.945, 1.0 and 1.5 respectively. An example of evolved failure surface for 100m cover depth at 45° slope with w/h ratio of web pillar of 0.79 is shown in Figure 10, indicating excessive pillar deformation at this low w/h ratio. The safety factor of slope when depth of cover is 100m at 60° slope angle in Pre HWM stage is 1.47. With the Highwall Mining extractions, the safety factor of the slope reduces to 1.36, 1.37, 1.37 and 1.40 corresponding to w/h ratios 0.79, 0.945, 1.0 and 1.5 respectively. The safety factor of slope when depth of cover is 100m at 70° slope angle in Pre HWM stage is 1.26. With the Highwall Mining extractions the safety factor of the slope reduces to 1.18, 1.19, 1.19 and 1.21 corresponding to w/h ratios 0.79, 0.945, 1.0 and 1.5 respectively. Figure 9. Variation in factor of safety of slope against different w/h ratios for different slope angles - 100m depth of cover. Figure 10. An example of evolved failure surface using SSR method for 100m cover depth at 45° slope angle for Highwall mining excavation with web pillar w/h ratio of 0.79. Pillar failure induced failure can be seen. Figure 11 shows similar trend as that of previous figures. The safety factor of slope in Pre HWM stage when depth of cover is 150m at 45° slope angle is 1.55. With the Highwall Mining extractions the safety factor of the slope reduces to 1.43, 1.44, 1.44 and 1.49 corresponding to w/h ratios 0.885, 1.03, 1.085 and 2.0 respectively. The safety factor of slope in Pre HWM stage when depth of cover is 150m at 60° slope angle is 1.20. With the Highwall Mining extractions the safety factor of the slope reduces to 1.14, 1.15, 1.15 and 1.16 corresponding to w/h ratios 0.885, 1.03, 1.085 and 2.0 respectively. The safety factor of Pre HWM slope when depth of cover is 150m at 70° slope angle is 1.00. With the Highwall Mining extractions in three dimensions the safety factor of the slope reduces to 0.96, 0.96, 0.97 and 0.98 corresponding to w/h ratios 0.885, 1.03, 1.085 and 2.0 respectively. Figure 11. Variation in factor of safety of slope against different w/h ratios for different slope angles - 150m depth of cover. SBMR 2014 However, the interesting aspect is that at larger depth of cover (150m in this case), the safety factor for excavated slope approaches the safety factor of non-excavated slope at larger w/h ratios of web pillars. It can be inferred that as w/h ratio of web pillar increases, the stiffness of the pillars also increases and this inturn contributes to the stability of overall slope. Another inference that can be made is that at larger depth of cover, the near critical slopes (close to factor of safety of 1.0) without Highwall excavations can become critical and fail with Highwall excavations. The criticality or risk of slope failure increases at lower w/h ratios of web pillars. 3.3 Percentage Reduction in Safety Factor of Slopes for Various Extraction Ratios Figure 12 depicts the percentage reduction in safety factor of slope with increased extraction ratio of coal. As can be seen in the figure that the % reduction in slope safety factor is associated with the extraction ratios of Highwall mining of coal, and extraction ratio depends on the span of the excavation, height of excavation mining seam and the thickness of the web pillar. The percentage reduction in the factor of safety refers to the % decrease in the safety factor from un-excavated or pre Highwall mining slope of a fixed angle to the excavated slope with a particular extraction ratio of coal for that corresponding slope angle. The reduction in safety factor is quite remarkable for shallow slopes compared to higher slope angles for a given extraction ratio. Figure 12. Percentage reduction in safety factor of slope against extraction ratios for depth of cover 50m. With increased depth of cover (Figures 13 and Figure 14), the % reduction in safety factor reduces at corresponding extraction ratios. This is because as the depth of cover increases, the factor of safety of non-excavated (Pre HWM) slope decreases. The larger extraction ratio would indicate excessive pillar deformation. Figure 13. Percentage reduction in safety factor of slope against extraction ratios for depth of cover 100m. Figure 14. Percentage reduction in safety factor of slope against extraction ratios for depth of cover 150m. 3.4 Effect of Excavation Seam Height To analyse the effect of excavation height of coal seam, three different coal seam heights (2.0m, 4.0m and 6.0m) were considered. The web pillar widths were adjusted corresponding to the seam heights so as to maintain constant w/h ratios of web pillars. Three different w/h ratios of web pillars were considered (viz., 0.79, 0.945 and 1.0) for each 2m, 4m and 6m excavation heights of coal seam. Table 3 summarizes the web pillar widths adopted for 2m, 4m and 6m excavation heights and corresponding w/h ratios of web pillars. Figure 15 shows the variation of slope safety factor with increase in excavation height of coal seam SBMR 2014 for different w/h ratios of web pillars. It can be seen in the figure that excavation height in the coal seam has remarkable effect on overall slope stability for all the w/h ratios considered in the modeling. At higher mining heights, the slope safety factor drastically reduces, even to the level of instability. Table 3. Web Pillar thicknesses adopted for different mining heights. Seam Height 2m Seam Height 4m Seam Height 6m Pre Highwall Safety Factor 1.86 1.85 1.81 w/h ratio of web pillars Pillar width FOS Pillar width FOS Pillar width FOS 0.79 1.58 1.57 3.16 1.1 4.74 1.08 0.945 1.89 1.6 3.78 1.21 5.67 1.17 1.0 2.0 1.61 4.0 1.24 6.0 1.2 Figure 15. Effect of excavation seam height on factor of safety of slope for different web pillar w/h ratios. 3.5 Effect of Depth of Cover Figure 16 shows the variation of slope safety factor with different cover depth for different slope angles for a given mining height. It may be noted that for a given mining height, the width of the web pillar can increase with depth so as to maintain constant web pillar factor of safety. For a given mining height it is evident that at a shallow depth of cover the drop in slope safety factor in post Highwall Mining is more prominent, but with increased depth the drop in slope safety factor diminishes. This is because with increased depth of cover, the pillar width also increases to compensate the overburden stress and this in turn increases the stiffness and confinement of the pillars and thereby reducing the gap in the safety factor between Pre and Post Highwall mining. Figure 16. Safety factor of slopes for different depth of cover and slope angles. 3.6 Effect of Multiple Seams The effect of multiple seam excavations on the overall safety factor of slope is analysed. Two seams were considered in order to see their effects on slope stability. The geometry configuration discussed earlier on (Figure 3 and Figure 4) is used for numerical modeling. An open pit slope with 100m cover depth with an angle of 45° was simulated using the stage by stage excavation until the ultimate pit limit is reached. Figure 17 shows the variation in the slope safety factor prior to Highwall mining excavation, single seam excavation and two seam (multiple) excavations. The drop in the factor of safety was about 9% between the pre Highwall mining and single seam excavation and the drop was about 2% between single seam and two seams excavations for the assumed model configuration and properties. Figure 17. Comparison of safety factor of slope with web pillar w/h ratio for single and multiple seam extractions. SBMR 2014 4 CONCLUSIONS A hyptothetical case was considered to gain understanding of the overall slope stability of Highwall mining with and without excavations by using shear strength reduction method. A parametric study was undertaken using the finite difference numerical code, FLAC3D by varying Highwall mining parameters such as width to height ratios of web pillars, mining excavation height of coal seam, depth of cover, slope angles and excavation of single and multiple coal seams. For the assumed material properties and model configuration, the modeling results revealed that stability of open pit slopes have profound influence on the Highwall mining parameters. In designing Highwall slopes for an open pit, the design must include Highwall mining excavations, otherwise near critical failure slopes would become critical and fail with Highwall excavations. The other inferences include: The Highwall mining excavations can affect the overall slope stability, especially at lower width to height ratios of web pillars and with excessive web pillar deformation In general, as the width to height ratio of web pillars increases, the factor of safety of the slope also increases. At a larger depth of cover, the safety factor for the excavated slope tends to approach the safety factor of a non-excavated slope at larger w/h ratios of web pillars considered in the modelling. As the w/h ratio of web pillar increases, the stiffness of the pillars also increases and this in turn contributes to the stability of overall slope. The near critical slopes (close to factor of safety of 1.0) without Highwall excavations can become critical and fail with Highwall mining excavations. The risk of slope failure can increase at shallower depths with Highwall excavations. The percentage reduction in slope safety factor is associated with the extraction ratios of Highwall mining of coal. Increased extraction ratios can affect the slope stability as it decreases the width of the pillar resulting higherpillar deformation. The excavation height in the coal seam has a dominant effect on overall slope stability, and the increased mining height of excavation has a profound effect on the slope safety factors with the parameters considered in the modeling. For a given mining height at a shallow depth of cover, the drop in slope safety factor in post Highwall mining is more prominent compared to pre Highwall mining, but this drop appears to diminish with increased depth of cover. Multiple seam extractions have shown to affect the overall slope stability for the considered Highwall configuration and material properties. Strain softening material model instead of elasto-plastic material model will be considered in future study with higher cohesion values. ACKNOWLEDGEMENTS The authors express their gratitude to Australia India Strategic Research Fund (AISRF) for funding this research work. Views expressed are of the authors and not necessarily of the institutes to which they belong. REFERENCES Itasca Consulting Group, Inc. (2006). Fast Lagrangian Analysis of Continua in 3Dimensions FLAC 3D Manual, Itasca, Minneapolis, USA. Lorig, L. and Varona, P. (2000). Practical slope-stability analysis using finite-difference codes. Slope stability in surface mining. Littleton, Colorado: SME, Ch. 12, p. 115-124. Porathur, J.L., Karekal. S. and Palroy, P. (2013). Web pillar design approach for Highwall Mining extraction, International Journal of Rock Mechanics and Mining Sciences, Volume 64, December 2013, Pages 73-83, ISSN 1365-1609 Zipf, R.K. (1999). Catastrophic collapse of Highwall web pillars and preventative design measures, Proceedings of 18th Conference on Ground Control in Mining, SBMR 2014 West Virginia University, pp. 18-28. Zipf, R.K. and Bhatt, S.K. (2004). Analysis of Practical Ground Control Issues in Highwall Mining, Proceedings of 23rd Conference on Ground Control in Mining, West Virginia University, pp. 210-219.
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