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A Simple Time-Dependent Chart of Extension Fracture Initiation within Brittle Homogenous and Heterogeneous Rock Pillars in Hard Rock Mining

  • Fhatuwani SenganiEmail author
Original Paper
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Abstract

A simple empirical time-dependent chart of extension fracture initiation is described. The chart was developed using simple borehole periscope observations within the rib pillars, focusing on monitoring the initiations of extension fracture. Nevertheless, the periscope was conducted time to time for the duration of a month, within brittle homogenous and heterogeneous rock pillars (rib pillar). The chart is suitable for predicting extension fracture initiations and extends of fracturing as time progress, predicting the allowable time to install an effective support system and be able to estimate the stability of the rib pillars within a brittle homogenous and heterogeneous rib pillars in a high stress environment. Two practical application and examples of the chart are described. These are firstly, an alternative way of estimating the rib pillar strength and secondly, predicting the maximum allowable time for an effective support installation along the rib pillar.

Keywords

Extension fracture Brittle rock mass Homogenous rock pillar Heterogeneous rock pillar Hard rock mining 

Notes

Acknowledgements

The author wishes all mineworkers who lost their lives as a result of rock burst accidents to rest in eternal peace.

Compliance with ethical standards

Conflict of interest

The author wishes to confirm that there are no known conflicts of interest associated with this publication, there has been no financial support given to influence the outcome of this work.

References

  1. Adams GR, Jager AJ (1980) Petroscopic observations of rock fracturing ahead of stope faces in deep-level gold mines. J S Afr Inst Min Metall 80:204–209Google Scholar
  2. Andersson JC, Martin CD, Stille H (2009) The Aspo pillar stability experiment: part II—rock mass response to coupled excavation induced and thermal-induced stresses. Int J Rock Mech Min Sci 46:879–895CrossRefGoogle Scholar
  3. Andrews P, Sengani F (2017) Ameliorating the strainburst risk in a mechanised deep level gold mine: the South Deep experience. In: Strainburst in mining seminar 10th October 2017 Sudbury CanadaGoogle Scholar
  4. Andriev GE (1995) Brittle failure of rock materials. A. A. Balkema, RotterdamGoogle Scholar
  5. Ashby MF, Hallam D (1986) The failure of brittle solids containing small cracks under compressive stress. Acta Metall 34:497–510CrossRefGoogle Scholar
  6. Barton CC (1983) Systematic jointing in the Cardium Sandstone along the Bow River, Alberta, Canada. Ph.D. Thesis, Yale University, pp 200–301Google Scholar
  7. Bates RL, Jackson JA (1980) Glossary of geology, 2nd edn. American Geological Institute, Falls ChurchGoogle Scholar
  8. Borg IY, Maxwell JC (1956) Interpretation of fabrics of experimentally deformed sands. Am J Sci 254:71–81CrossRefGoogle Scholar
  9. Brace WF (1960) An extension of the Griffith theory of fracture to rocks. J Geophys Res 65:3477–3480CrossRefGoogle Scholar
  10. Brace WF (1964) Brittle fracture of rocks. In: Judd WR (ed) State of stress in the earth’s crust. American Elsevier, New York, pp 111–180Google Scholar
  11. Brace WF, Byerlee JD (1968) Recent experimental studies of brittle fracture of rocks. In: Fairhurst CL (eds) Proceedings of the 8th symposium on rock mechanics. Failure and Breakaye of Rock, pp 58–8 lGoogle Scholar
  12. Brace WF, Paulding B, Scholz C (1966) Dilatancy in the fracture of crystalline rocks. J Geophys Res 71:3939–3953CrossRefGoogle Scholar
  13. Brady BHG, Brown ET (2004) Rock mechanics for underground mining, 3rd edn. Kluwer, Dordrecht, p 628Google Scholar
  14. Cai M, Kaiser PK (2018) Rockburst support. In: Rockburst phenomenon and support characteristics. MIRARCO—Mining Innovation, Laurentian University, Sudbury, Ontario, CanadaGoogle Scholar
  15. Cai M, Kaiser PK, Martin CD (1998) A tensile model for the interpretation of microseismic events near underground openings. Pure appl Geophys 153:67–92CrossRefGoogle Scholar
  16. Cho N, Martin CD, Sego DS (2007) A clumped particle model for rock. Int J Rock Mech Min Sci 44:997–1010CrossRefGoogle Scholar
  17. Clausing DP (1959) Comparison of Griffith’s theory with Mohr’s failure criteria. Colo Sch Mines 54:255–296Google Scholar
  18. Clotte DR, Clotte PAG, Cooke NGW, Jager AJ, White AJA (1972–1973) The nature of the fractures zone in gold mines as revealed by diamond core drilling. In: Association of mine managers, papers, and discussions. JohannesburgGoogle Scholar
  19. De Kock WP (1964) The geology and economic significance of West Wits line. In: Haughton SH (ed) Geology of some ore deposits in Southern Africa. Geological Society of South Africa, JohannesburgGoogle Scholar
  20. Depatment of Mineral Resources (DMR) (2018) Annual incidents report. Pretoria, South AfricaGoogle Scholar
  21. Dyer JR (1983) Jointing in sandstones, Arches National Park, Utah. Ph.D. Dissertation, Stanford University, Stanford, p 202Google Scholar
  22. Earon R, Olofsson B (2018) Hydraulic heterogeneity and its impact on kinematic porosity in Swedish coastal terrains. Eng Geol 245:61–71CrossRefGoogle Scholar
  23. Erdogan F, Sih GC (1963) On the crack extension in plates under plane loading and transverse shear. J Basic Eng 85:519–525CrossRefGoogle Scholar
  24. Fairhurst C (1964) On the validity of the “Brazilian” test for brittle materials. Int J Rock Mech Min Sci Geomech Abstr 1(4):535–546CrossRefGoogle Scholar
  25. Fairhurst C (1972 and Updated in 2004) Fundamental considerations relating to the strength of rock. In: Colloquium on rock fracture. Bochum, Germany: Ruhr Universitat, http://www.itascacg.com
  26. Gallagher JJ, Friedman M, Handin J, Sowers GM (1974) Experimental studies relating to microfracture in sandstone. Tectonophysics 21:203–247CrossRefGoogle Scholar
  27. Germanovich JN, Dyskin AV (1988) A model of brittle failure for material with cracks in uniaxial loading. Mech Solids 23:111–123Google Scholar
  28. Griffith AA (1921) The phenomena of rupture and flow in solids. Philos Trans R Soc Lond (Ser A) 221:163–198CrossRefGoogle Scholar
  29. Griffith AA (1924) Theory of rupture. In: Proceedings of the 1st international congress of applied mechanics. Tech. Boekhandel en Drukkerij J Walter Jr, Delft, pp 55–63Google Scholar
  30. Hallbauer DK, Wagner H, Cook NGW (1973) Some observations concerning the microscopic and mechanical behaviour of quartzite specimens in stiff, triaxial compression tests. Int J Rock Mech Min Sci Geomech Abstr 10:713–726CrossRefGoogle Scholar
  31. Hamm SY, Kim M, Cheong JY, Kim JY, Son M, Kim TW (2007) Relationship between hydraulic conductivity and fracture properties estimated from packer tests and borehole data in a fractured granite. Eng Geol 92:73–87CrossRefGoogle Scholar
  32. Handin J, Heard HC, Magouirk JN (1967) Effects of the intermediate principal stress on the failure of limestone, dolomite and glass at different temperatures and strain rates. J Geophys Res 72:611–640CrossRefGoogle Scholar
  33. Hedley DGF, Grant F (1972) Stope and pillar design at the Elliot Lake uranium mines. CIM Bull 65(723):37–44Google Scholar
  34. Hoek E (1964) Rock fracture around mine excavations. In: CSIR rock mechanics special report no. 38. International Conference on Strata Control and Rock Mechanics, New YorkGoogle Scholar
  35. Hoek E (1965) Rock fracture under static stress conditions. In: Councilfor Scientific and Industrial Research Report MEG. Pretoria, South Africa, p 383Google Scholar
  36. Hoek E, Brown ET (1980) Underground excavations in rock. IMM, London, p 527Google Scholar
  37. Hoek E, Martin CD (2014) Fracture initiation and propagation in intact rocke—a review. J Rock Mech Geotech Eng 6:287–300CrossRefGoogle Scholar
  38. Huang N, Jiang Y, Liu R, Li B (2017) Estimation of permeability of 3-D discrete fracture networks: an alternative possibility based on trace map analysis. Eng Geol 226:12–19CrossRefGoogle Scholar
  39. Hudyma M (1988) Development of empirical rib pillar failure criterion for open stopemining. MASc Thesis, Department of Mining and Mineral Processing, University of British Columbia, VancouverGoogle Scholar
  40. Inglis CE (1913) Stresses in a plate due to the presence of cracks and sharp corners. Institution of Naval Architects, London, pp 219–230Google Scholar
  41. Jaeger JC, Cook NGW, Zimmerman RW (2007) Fundamentals of rock mechanics. Blackwell, VictoriaGoogle Scholar
  42. Kemeny JM, Cook NGW (1987) Crack models for the failure of rock under compression. In: Desai CS, Krempl E, Kiousis PD, Kundu T (eds) Proceedings of the 2nd international conference constitutive laws for engineering materials, theory and applications, vol 1. Elsevier Science Publishing Co., London, pp 879–887Google Scholar
  43. King RG, Jager AJ, Roberts MKCR (1989) Rock mechanics aspects of stoping without back area support. COMRO Res. Rep, JohannesburgGoogle Scholar
  44. Krauland N (1970) The behaviour of a prototype and a model mine tunnel. In: South African tunnelling conference. The Technology and Potential of Tunnelling, JohannesburgGoogle Scholar
  45. Krauland N, Soder PE (1987) Determining pillar strength from pillar failure observations. Eng Min J 8:34–40Google Scholar
  46. Kuijpers J (2000) Fracturing around highly stressed excavations in brittle rock. J South Afr Inst Min Metall 100:325–331Google Scholar
  47. Kwásniewski M, Takahashi M (2010) Strain-based failure criteria for rocks: state of the art and recent advances. In: Rock mechanics in civil and environmental engineering—Proceedings of the European rock mechanics symposium. EUROCK, pp 45–56Google Scholar
  48. Lawn BR, Wilshaw TR (1975) Fracture of brittle solids. Cambridge University Press, Cambridge, p 204Google Scholar
  49. Lee CH, Deng BW, Chang JL (1995) A continuum approach for estimating permeability in naturally fractured rocks. Eng Geol 39:71–85.  https://doi.org/10.1016/0013-7952(94)00064-9 CrossRefGoogle Scholar
  50. Li D, Wong LNY (2013) The Brazilian disc test for rock mechanics applications. Rock Mech Rock Eng 46:269–287CrossRefGoogle Scholar
  51. Lim SS, Martin CD (2010) Core disking and its relationship with stress magnitude for Lac Du Bonnet granite. Int J Rock Mech Min Sci 47:254–264CrossRefGoogle Scholar
  52. Louchnikov V (2011) Simple calibration of the extension strain criterion for its use in numerical modelling. In: Potvin Y (ed) Strategic vs tactical approaches in mining. Australian Centre for Geomechanics, Perth, pp 85–96Google Scholar
  53. Lunder P (1994) Hard rock pillar strength estimation: an applied empirical approach. MASc Thesis, University of British Columbia, Vancouver, British Columbia, Canada, p 166Google Scholar
  54. Lunder P, Pakalnis R (1997) Determination of the strength of hard rock mine pillars. CIM Bull 90(1013):51–55Google Scholar
  55. Martin CD, Chandler NA (1994) The progressive fracture of Lac du Bonnet granite. Int J Rock Mech Min Sci Geomech Abstr 31:643–659CrossRefGoogle Scholar
  56. Martin CD, Read RS, Martino JB (1997) Observations of brittle failure around a circular test tunnel. Int J Rock Mech Min Sci 34:1065–1073CrossRefGoogle Scholar
  57. McCarthy T (2006) The Witwatersrand Supergroup. In: The geology of South Africa. Geological Society of South Africa/Council for Geoscience, Johannesburg, pp 155–186Google Scholar
  58. McClintock FA, Walsh J (1962) Friction on Griffith cracks in rocks under pressure. In: Proceedings of the 4th US national congress on applied mechanics. Berkeley, pp 1015–1021Google Scholar
  59. Murrell SAF (1958) The strength of coal under triaxial compression. In: Mechanical properties of non-metallic Brittle Materials. Butterworth Scientific Publications, pp 123–145Google Scholar
  60. Murrell SAF (1963) Criterion for brittle fracture of rocks and concrete under triaxial stress and the effect of pore pressure on the criterion. Pergamon Press, OxfordGoogle Scholar
  61. Murrell SAF (1965) The effect of triaxial stress systems on the strength of rocks at atmospheric temperatures. Geophys J 10:231–281CrossRefGoogle Scholar
  62. National Research Council (1996) Rock fractures and fluid flow: contemporary understanding and applications. The National Academies Press, Washington, DCGoogle Scholar
  63. Ndlovu X (2006) Three dimensional analyses of stress and strain distributions around bord and pillar geometries. M.Sc. Eng Dissertation, University of the WitwatersrandGoogle Scholar
  64. Ndlovu X, Stacey TR (2007) Observations and analyses of roof guttering in a coal mine. J S Afr Inst Min Metall 107:477–492Google Scholar
  65. Nelson RA (1985) Geologic analysis of naturally fractured reservoirs. Gulf Publishing, Houston, p 320Google Scholar
  66. Nicksiar M, Martin CD (2012) Evaluation of methods for determining crack initiation in compression tests on low-porosity rocks. Rock Mech Rock Eng 45:607–617CrossRefGoogle Scholar
  67. Orowan E (1949) Fracture and strength of solids. Rep Prog Phys Phys Soc 12:182–232Google Scholar
  68. Pan JB, Lee CC, Lee CH, Yeh HF, Lin HI (2010) Application of fracture network model with crack permeability tensor on flow and transport in fractured rock. Eng Geol 116:166–177CrossRefGoogle Scholar
  69. Pang SS, Goldsmith W (1990) Investigation of crack formation during loading of brittle rock. Rock Mech Rock Eng 23:53–63CrossRefGoogle Scholar
  70. Paterson MS, Wong TF (2005) Experimental rock deformationethe brittlefield, 2nd edn. Springer, New YorkGoogle Scholar
  71. Peng SS, Johnson AM (1972) Crack growth and faulting in cylindrical specimens of Chelmsford granite. Int J Rock Mech Min Sci Geomech Abstr 9:37–86CrossRefGoogle Scholar
  72. Pollard DD, Aydin A (1988) Progress in understanding jointing over the past century. Geol Soc Am Bull 100:1181–1204CrossRefGoogle Scholar
  73. Pretorius DA (1964) The geology of the Central Rand goldfields. In: Haughton SH (ed) The geology of some ore deposits in Southern Africa, vol 1. Geological Society of South Africa, Johannesburg, pp 63–108Google Scholar
  74. Pretorius DA (1986) The Witwatersrand Basin: surface and subsurface geology and structure (map). In: Anhaeusser CR, Maske S (eds) Mineral deposits of Southern Africa, vol 1. Geological Society of South Africa, JohannesburgGoogle Scholar
  75. Reeves DM, Parashar R, Pohll G, Carroll R, Badger T, Willoughby K (2013) The use of discrete fracture network simulations in the design of horizontal hillslope drainage networks in fractured rock. Eng Geol 163:132–143CrossRefGoogle Scholar
  76. Ren XW, Santamarina JC (2018) The hydraulic conductivity of sediments: a pore size perspective. Eng Geol 233:48–54CrossRefGoogle Scholar
  77. Ren F, Ma G, Fu G, Zhang K (2015) Investigation of the permeability anisotropy of 2D fractured rock masses. Eng Geol 196:171–182CrossRefGoogle Scholar
  78. Ren F, Ma G, Fan L, Wang Y, Zhu H (2017) Equivalent discrete fracture networks for modelling fluid flow in highly fractured rock mass. Eng Geol 229:21–30CrossRefGoogle Scholar
  79. Rummel F (1971) Uniaxial compression tests on right angular rock specimens with central holes Rock Fracture. In: Proceedings of the international symposium on rock mechanics, vol 2. Nancy, pp 90–101Google Scholar
  80. Ryder JA, Jager AJ (2002) A textbook on rock mechanics for hard rock mines. In: SIMRAC, Safety in Mines Research Advisory Committee, South AfricaGoogle Scholar
  81. Salamon MDG (1970) Stability, instability and the design of mine workings. Int J Rock Mech Min Sci 7:613–631CrossRefGoogle Scholar
  82. Scholz CH (1968) Microfracturing and the inelastic deformation of rock in compression. J Geophys Res 73:1417–1432CrossRefGoogle Scholar
  83. Segall P, Pollard DD (1983a) Joint formation in granitic rock of the Sierra Nevada. Geol Soc Am Bull 94:563–575CrossRefGoogle Scholar
  84. Segall P, Pollard DD (1983b) Nucleation and growth of strike-slip faults in granite. J Geophys Res 88:555–568CrossRefGoogle Scholar
  85. Sengani F (2018a) Trials of the Garford hybrid dynamic bolt reinforcement system at a deep level gold mine in South Africa. J South Afr Inst Min Metall 118:289–296CrossRefGoogle Scholar
  86. Sengani F (2018b) The performance of bolt-reinforced and shotcreted in-stope pillar in rockburst-prone areas. Int J Min Geo-Eng 52:105–117Google Scholar
  87. Sengani F, Amponsah-Dacosta F (2018) The application of the face-perpendicular preconditioning technique for de-stressing seismically active geological structures. Min Technol 12:241–255CrossRefGoogle Scholar
  88. Sengani F, Kataka MO (2017) A comparison of the effectiveness of the roof-bolter and standard drill rig for the installation of long anchors in hard-rock mines. In: Proceedings of 3rd young professional’s conference, Innovation Hub, Pretoria, 9–10 March 2017. Southern African Institute of Mining and Metallurgy, JohannesburgGoogle Scholar
  89. Sengani F, Zvarivadza T (2017) Review of pre-conditioning practice in mechanized deep to ultra-deep level gold mining. In: 26th International symposium on mine planning and equipment selection. Lulea University, Sweden, pp 29–31Google Scholar
  90. Sengani F, Zvarivadza T (2018a) Borehole periscope observations of rock fracturing ahead of the preconditioned mining faces in a deep level gold mine. In: 1st International conference on advances in rock mechanics. International Society for Rock Mechanics and Rock Engineering, TuniRockGoogle Scholar
  91. Sengani F, Zvarivadza T (2018b) Yielding support systems in deep to ultra-deep level gold mining. In: 1st International conference on advances in rock mechanics. International Society for Rock Mechanics and Rock Engineering, TuniRockGoogle Scholar
  92. Sengani F, Zvarivadza T (2018c) The use of face perpendicular preconditioning technique to destress a dyke located 60 m ahead of mining faces. In: Geomechanics and geodynamics of rock masses, volume 1: proceedings of the 2018 European rock mechanics symposium. CRC Press, p 417Google Scholar
  93. Sjöberg J (1992) Failure modes and pillar behaviour in the Zinkgruvan mine. In: Tillerson JR, Wawersik WR (eds) Proceedings of the 33rd US Rock mechanics symposium, 3–5 June. A. A. Balkema, Santa Fe, New Mexico, Rotterdam, pp 491–500Google Scholar
  94. Stacey TR (1981) A simple extension strain criterion for fracture of brittle rock. In: International journal of rock mechanics and mining sciences, 18Google Scholar
  95. Stacey TR (1982) Contribution to the mechanism of core discing. J S Afr Inst Min Metall 82:269–274Google Scholar
  96. Stacey TR (1989) Boring in massive rocks—rock fracture problems. In: Proceedings of the seminar on mechanised underground excavation. South African National Council on Tunnelling, pp 87–90Google Scholar
  97. Stacey TR, Harte ND (1989) Deep level raise boring—prediction of rock problems. In: Maury V, Fourmaintraux D, Balkema AA (eds) Proceedings of the international symposium rock at great depth, vol 2. pp 583–588Google Scholar
  98. Stacey TR, Yathavan K (2003) Examples of fracturing at very low stress levels. In: Proc. 10th Int. Cong. Int. Soc. Rock Mech., Sandton, S. Afr. Nat. Inst. For Rock Engng and S. Afr. Inst. Min. Metall., vol 2, pp 1155–1159Google Scholar
  99. Stacey TR, Yu X, Armstrong R, Keyter GJ (2003) New slope stability considerations for deep open pit mines. J S Afr Inst Min Metall 103:373–389Google Scholar
  100. Stacey TR, Ortlepp WD, Ndlovu X (2007) Dynamic rock failures due to ‘‘high’’ stress at shallow depth. In: Proceedings of the 4th international seminar on deep and high stress mining. Australian Centre for Geomechanics, Perth, pp 193–204Google Scholar
  101. Steffanizzi S, Barla G, Kaiser PK (2007) Numerical modelling of strain driven fractures around tunnels in layered rock masses. In: Ribeiro, Olalla, Grossmann (eds) 11th Congress of the International Society for Rock Mechanics. Taylor and Francis Group, London, pp 971–974Google Scholar
  102. Toper AZ (2003) The effect of blasting on the rockmass for designing the most effective preconditioning blasts in deep level gold mines [Ph.D. Thesis]. University of the Witwatersrand, JohannesburgGoogle Scholar
  103. van Aswegen G, Stander M (2012) Origins of some fractures around tabular stopes in deep South African mines. J S Afr Inst Min Metall 112:729–735Google Scholar
  104. Villaescusa E (2014) Geotechnical design for sublevel open stoping. CRC Press, Boca RatonCrossRefGoogle Scholar
  105. Von Kimmelmann MR, Hyde B, Madgwick R J (1984) The use of computer applications at BCL Limited in planning pillar extraction and the design of mining layouts. In: Brown ET, Hudson JA (eds) Proceedings of the ISRM international symposium on design and performance of underground excavations, Cambridge, 3–6 September, pp 53–63Google Scholar
  106. Waldeck HG (1979) The design and support of large underground chambers at depth in the mines of the Gold Fields Group of South Africa. In: Proceedings of the 4th Congress International Society for Rock Mechanics. Montreux, pp 565–571Google Scholar
  107. Watson BP, Pretorius W, Mpunzi P, du Plooy M, Matthysen K, Kuijpers JS (2014) Design and positive financial impact of crush pillars on mechanized deep-level mining at South Deep Gold Mine. J S Afr Inst Min Metall 114:863–865Google Scholar
  108. Wei L, Liu Q, Liu X (2018) An improved crack initiation stress criterion for brittle rocks under confining stress. In: IOP Conference series: earth and environmental science, pp 1–16CrossRefGoogle Scholar
  109. Wesseloo J, Stacey TR (2016) A reconsideration of the extension strain criterion for fracture and failure of rock. Rock Mech Rock Eng 49:4667–4679CrossRefGoogle Scholar
  110. Xu C, Fidelibus C, Dowd P, Wang Z, Tian Z (2018) An iterative procedure for the simulation of the steady-state fluid flow in rock fracture networks. Eng Geol 242:160–168CrossRefGoogle Scholar
  111. Zhang C, Chen Q, Qin X, Hong B, Meng W, Zhang Q (2017) In-situ stress and fracture characterization of a candidate repository for spent nuclear fuel in Gansu, northwestern China. Eng Geol 231:218–229CrossRefGoogle Scholar
  112. Zhao G, Johnson AM (1992) Sequence of deformations recorded in joints and faults, Arches National Park, Utah. J Struct Geol 14:225–236CrossRefGoogle Scholar
  113. Zhou S, Zhuang X, Rabczuk T (2018) A phase-field modeling approach of fracture propagation in poroelastic media. Eng Geol 240:189–203CrossRefGoogle Scholar
  114. Zvarivadza T, Sengani F (2018a) Calibration of yielding pillar performance in deep level gold mines. In: 1st International conference on advances in rock mechanics. International Society for Rock Mechanics and Rock Engineering, TuniRockGoogle Scholar
  115. Zvarivadza T, Sengani F (2018b) Evaluation of in-stope pillar failure: a case study of deep to ultra-deep level gold mining in South Africa. In: Proceedings of the 3rd international conference on rock dynamics and applications (RocDyn-3), June 26–27. CRC Press, Trondheim, pp 675–680Google Scholar
  116. Zvarivadza T, Sengani F, Adoko AC (2017) In-stope pillar scaling and fracturing in Southern African deep level gold mining. In: 26th International symposium on mine planning and equipment selection. Luleå University, Sweden, pp 379–388Google Scholar

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Authors and Affiliations

  1. 1.Department of Geology and MiningUniversity of LimpopoPolokwaneSouth Africa

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