FIGURES
Figure 2.1. Operating principle of HPGR (De, 1995) ... 6
Figure 2.2. Non-linear deviations observed in breakage rates (Bilgili et al., 2006) 11 Figure 2.3. Graphical procedure for estimating parameters of and Ф1 in functional form of Bi1 ... 14
Figure 2.4. Schematics of a drop weight tester ... 16
Figure 2.5. One-parameter family curves ... 17
Figure 2.6. Conceptual flowsheet of cement production ... 19
Figure 2.7. The modes of operation for cement grinding circuits (Patzelt, 1992) ... 20
Figure 3.1. Particle size distributions of HPGR product and HPGR feed (Raw data at Table A.1 and Table A.2 in Appendix A) ... 23
Figure 4.1. Mass-Basis Breakage Probabilities of -4.7+3.35 mm HPGR product and HPGR feed (Raw data at Table B.1 through Table B.8 in Appendix B) ... 37
Figure 4.2. Mass-Basis Breakage Probabilities of -6.35+4.7 mm HPGR product and HPGR feed (Raw data at Table B.9 through Table B.16 in Appendix B) ... 38
Figure 4.3. Mass-Basis Breakage Probabilities of -9.53+6.35 mm HPGR product and HPGR feed (Raw data at Table B.17 through Table B.28 in Appendix B) ... 38
Figure 4.4. Mass-Basis Breakage Probabilities of -12.7+9.53 mm HPGR product and HPGR feed (Raw data at Table B.29 through Table B.42 in Appendix B) ... 39
Figure 4.5. Mass-Basis Breakage Probabilities of -19+12.7 mm HPGR product and HPGR feed (Raw data at Table B.43 through Table B.52 in Appendix B) ... 39
Figure 4.6. Mass-Basis Breakage Probabilities of -25.4+19 mm HPGR product and HPGR feed (Raw data at Table B.53 through Table B.64 in Appendix B) ... 40
Figure 4.7. Cumulative breakage distribution functions after impact breakage of -4.7+3.35 mm of HPGR product and HPGR feed at various energy levels (Raw data at Table B.1 through Table B.8 in Appendix B) ... 41
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Figure 4.8. Cumulative breakage distribution functions after impact breakage of -6.35+4.7 mm of HPGR product and HPGR feed at various energy levels (Raw data at Table B.9 through Table B.16 in Appendix B) ... 42 Figure 4.9. Cumulative breakage distribution functions after impact breakage of -9.53+6.35 mm of HPGR product and HPGR feed at various energy levels (Raw data at Table B.17 through Table B.28 in Appendix B) ... 42 Figure 4.10. Cumulative breakage distribution functions after impact breakage of -12.7+9.53 mm of HPGR product and HPGR feed at various energy levels (Raw data at Table B.29 through Table B.42 in Appendix B) ... 43 Figure 4.11. Cumulative breakage distribution functions after impact breakage of -19.0+12.7 mm of HPGR product and HPGR feed at various energy levels (Raw data at Table B.43 through Table B.52 in Appendix B) ... 43 Figure 4.12. Cumulative breakage distribution functions after impact breakage of -25.4+19.0 mm of HPGR product and HPGR feed at various energy levels (Raw data at Table B.53 through Table B.64 in Appendix B) ... 44 Figure 4.13. Non-self similar product size distributions after drop weight tests of -4.7+3.35 mm HPGR product with varying specific impact energy levels (Raw data at Table B.1 through Table B.4, and at Table B.65 in Appendix B) ... 45 Figure 4.14. Non-self similar product size distributions after drop weight tests of -4.7+3.35 mm HPGR feed with varying specific impact energy levels (Raw data at Table B.5 through Table B.8, and at Table B.66 in Appendix B)... 46 Figure 4.15. Non-self similar product size distributions after drop weight tests of -6.35+4.7 mm HPGR product with varying specific impact energy levels (Raw data at Table B.9 through Table B.12, and at Table B.65 in Appendix B) ... 46 Figure 4.16. Non-self similar product size distributions after drop weight tests of -6.35+4.7 mm HPGR feed with varying specific impact energy levels (Raw data at Table B.13 through Table B.16, and at Table B.66 in Appendix B) ... 47 Figure 4.17. Non-self similar product size distributions after drop weight tests of -9.53+6.35 mm HPGR product with varying specific impact energy levels (Raw data at Table B.17 through Table B.22, and at Table B.65 in Appendix B) ... 47
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Figure 4.18. Non-self similar product size distributions after drop weight tests of -9.53+6.35 mm HPGR feed with varying specific impact energy levels (Raw data at Table B.23 through Table B.28, and at Table B.66 in Appendix B) ... 48 Figure 4.19. Non-self similar product size distributions after drop weight tests of -12.7+9.53 mm HPGR product with varying specific impact energy levels (Raw data at Table B.29 through Table B.35, and at Table B.65 in Appendix B) ... 48 Figure 4.20. Non-self similar product size distributions after drop weight tests of -12.7+9.53 mm HPGR feed with varying specific impact energy levels (Raw data at Table B.36 through Table B.42, and at Table B.66 in Appendix B) ... 49 Figure 4.21. Non-self similar product size distributions after drop weight tests of -19.0+12.7 mm HPGR product with varying specific impact energy levels (Raw data at Table B.43 through Table B.47, and at Table B.65 in Appendix B) ... 49 Figure 4.22. Non-self similar product size distributions after drop weight tests of -19.0+12.7 mm HPGR feed with varying specific impact energy levels (Raw data at Table B.48 through Table B.52, and at Table B.66 in Appendix B) ... 50 Figure 4.23. Non-self similar product size distributions after drop weight tests of -25.4+19.0 mm HPGR product with varying specific impact energy levels (Raw data at Table B.53 through Table B.58, and at Table B.65 in Appendix B) ... 50 Figure 4.24. Non-self similar product size distributions after drop weight tests of -25.4+19.0 mm HPGR feed with varying specific impact energy levels (Raw data at Table B.59 through Table B.64, and at Table B.66 in Appendix B) ... 51 Figure 4.25. Non-normalizable breakage distribution functions of -4.7+3.35 mm, -19+12.7 mm, -25.4+19.0 mm HPGR product (Raw data at Table B.30, Table B.43 and Table B.53 in Appendix B) ... 53
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Figure 4.28. Non-normalizable breakage distribution functions of -12.7+9.53 mm, -19+12.7 mm, -25.4+19.0 mm HPGR feed (Raw data at Table B.37, Table B.48 and Table B.59 in Appendix B) ... 53
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Figure 4.38. Breakage rate plots after batch grinding of -1.7+1.18 mm of HPGR
product and HPGR feed; dB = 19.05 mm, ɸBall =0.35, 633 g of material (Raw data at Table C.13, Table C.16 in Appendix C, and Table D.13, Table D.16 in
Appendix D) ... 61 Figure 4.39. Breakage rate plots after batch grinding of -1.7+1.18 mm of HPGR
product and HPGR feed; dB = 25.4 mm, ɸBall =0.35, 633 g of material (Raw data at Table C.14, Table C.17 in Appendix C, and Table D.14, Table D.17 in
Appendix D) ... 61 Figure 4.40. Breakage rate plots after batch grinding of -1.7+1.18 mm of HPGR
product and HPGR feed; dB = 31.75 mm, ɸBall =0.35, 633 g of material (Raw data at Table C.15, Table C.18 in Appendix C, and Table D.15, Table D.18 in
Appendix D) ... 62 Figure 4.41. Breakage rate plots after batch grinding of -2.36+1.7 mm of HPGR
product and HPGR feed; dB = 19.05 mm, ɸBall =0.35, 633 g of material (Raw data at Table C.7, Table C.10 in Appendix C, and Table D.7, Table D.10 in
Appendix D) ... 62 Figure 4.42. Breakage rate plots after batch grinding of -2.36+1.7 mm of HPGR
product and HPGR feed; dB = 25.4 mm, ɸBall =0.35, 633 g of material (Raw data at Table C.8, Table C.11 in Appendix C, and Table D.8, Table D.11 in
Appendix D) ... 63 Figure 4.43. Breakage rate plots after batch grinding of -2.36+1.7 mm of HPGR
product and HPGR feed; dB = 31.75 mm, ɸBall =0.35, 633 g of material (Raw data at Table C.9, Table C.12 in Appendix C, and Table D.9, Table D.12 in
Appendix D) ... 63 Figure 4.44. Breakage rate plots after batch grinding of -3.35+2.36 mm of HPGR
product and HPGR feed; dB = 19.05 mm, ɸBall =0.35, 720 g of material (Raw data at Table C.1, Table C.4 in Appendix C, and Table D.1, Table D.4 in
Appendix D) ... 64
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g of material (Raw data at Table C.13, Table C.16 in Appendix C, and Table D.13, Table D.16 in Appendix D) ... 68
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of material (Raw data at Table C.1, Table C.4 in Appendix C, and Table D.1, Table D.4 in Appendix D) ... 71
Figure 4.57. Primary breakage distribution functions after batch grinding of -3.35+2.36 mm of HPGR product and HPGR feed; dB =25.4 mm, ɸBall =0.35, 720 g
of material (Raw data at Table C.2, Table C.5 in Appendix C, and Table D.2, Table D.5 in Appendix D) ... 71
Figure 4.58. Primary breakage distribution functions after batch grinding of -3.35+2.36 mm of HPGR product and HPGR feed; dB =31.75 mm, ɸBall =0.35, 720
g of material (Raw data at Table C.3, Table C.6 in Appendix C, and Table D.3, Table D.6 in Appendix D) ... 72 Figure 4.59. Primary breakage distribution functions after batch grinding of three monosize fractions of HPGR product; dB = 19.05 mm, ɸBall = 0.35 (Raw data at Table C.1, Table C.7, Table C.13 in Appendix C, and Table D.1, Table D.7, Table D.13 in Appendix D) ... 73 Figure 4.60. Primary breakage distribution functions after batch grinding of three monosize fractions of HPGR product; dB = 25.4 mm, ɸBall = 0.35 (Raw data at Table C.2, Table C.8, Table C.14 in Appendix C, and Table D.2, Table D.8 and Table D.14 in Appendix D) ... 73
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Figure 4.61. Primary breakage distribution functions after batch grinding of three monosize fractions of HPGR product; dB = 31.75 mm, ɸBall = 0.35 (Raw data at Table C.3, Table C.9, Table C.15 in Appendix C, and Table D.3, Table D.9, Table D.15 in Appendix D) ... 74 Figure 4.62. Primary breakage distribution functions after batch grinding of three monosize fractions of HPGR feed; dB = 19.05 mm, ɸBall = 0.35 (Raw data at Table C.4, Table C.10, Table C.16 in Appendix C, and Table D.4, Table D.10, Table D.16 in Appendix D) ... 74 Figure 4.63. Primary breakage distribution functions after batch grinding of three monosize fractions of HPGR feed; dB = 25.4 mm, ɸBall = 0.35 (Raw data at Table C.5, Table C.11, Table C.17 in Appendix C, and Table D.5, Table D.11, Table D.17 in Appendix D) ... 75 Figure 4.64. Primary breakage distribution functions after batch grinding of three monosize fractions of HPGR feed; dB = 31.75 mm, ɸBall = 0.35 (Raw data at Table C.6, Table C.12, Table C.18 in Appendix C, and Table D.6, Table D.12, Table D.18 in Appendix D) ... 75
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