34
This information is provided as an eample only, no guarratees of performance results is given or implied. This information is provided as an eample only, no guarratees of performance results is given or implied. HMV Heavy (Dense) Media Vessel - normally single stage HMC Heavy (Dense) Media cyclone - normally single stage CCJ Coarse Coal (Baum style) jig - normally a two stage float reclean unit FCJ Fine Coal (Batac or similar) jig - normally a two stage float reclean unit MJ Mineral (Pan-Am or similar) jig - normally a two stage float reclean unit WOC Water-Only cyclone - normally a two stage circuit, in coal a sink reclean with 2nd stage float recirculati TAB Table - normally a single stage SPR Spiral - normally a single stage Raw data was taken from old notes, a curve was fitted to the data to determine general characteristics This was then used to calculate curves for each device based on separating gavity and assumed Ep. Ep: From empiracal data a method using a unique formula for each device Ep =F1*F2*(F3*SG F1: Where F1 is calculated from the SG and the Ave Size Ave Size F2: Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performance F3: empirical factors determined by testing and unique for each equipment (generally) F4: empirical factors determined by testing and unique for each equipment (generally) The actual equipment curves are calculated from normalized curves upon which a regression analysis was run. This curve is then used to calculate a unique curve from the input data. Alternatively Ep: Ep is an abbreviation for Ecart Probable Error and is a measure of the precision of separat It is defined as the specific gravity at which 25% of the feed reports to clean coal (D25), minus the specific gravity at which 75% reports to clean coal (D75), all divided by 2, or: Ep = (D25 - D75)/ 2 Ave Size If the product is closely sized, average size may be takeen as the arithmetic mean of the top and bottom sizes. For 65 M x 100 M : Ave. Grain Size = (0.212 + 0.15)/ 2 = 0.181 mm In dealing with a wide size range or unsized coal more precision is needed. The best average uses the specific surface area of the average size particle. This equals the specific surface area of the sample. For a given size distribution the average size is then: Ave. size = 100 / (sum(f/x for x = 1 to N)) f = volume abundance for each size (% wt. x 600/x size (mm)) Calculating the surface area requires a great deal of information that may not be available. Work is based on data from Process Performance Spreadsheet uses Ave = e ((ln(top)+ln(bot))/2)

SDM Process sim.xls

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Page 1: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

This information is provided as an eample only, no guarratees of performance results is given or implied.HMV Heavy (Dense) Media Vessel - normally single stageHMC Heavy (Dense) Media cyclone - normally single stageCCJ Coarse Coal (Baum style) jig - normally a two stage float reclean unitFCJ Fine Coal (Batac or similar) jig - normally a two stage float reclean unitMJ Mineral (Pan-Am or similar) jig - normally a two stage float reclean unitWOC Water-Only cyclone - normally a two stage circuit, in coal a sink reclean with 2nd stage float recirculation to 1st stage feedTAB Table - normally a single stageSPR Spiral - normally a single stage

Raw data was taken from old notes, a curve was fitted to the data to determine general characteristics.This was then used to calculate curves for each device based on separating gavity and assumed Ep.Ep: From empiracal data a method using a unique formula for each device Ep =F1*F2*(F3*SG-F4)

F1: Where F1 is calculated from the SG and the Ave Size

Ave SizeF2: Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performanceF3: empirical factors determined by testing and unique for each equipment (generally)F4: empirical factors determined by testing and unique for each equipment (generally)

The actual equipment curves are calculated from normalized curves upon which a regressionanalysis was run. This curve is then used to calculate a unique curve from the input data.

AlternativelyEp: Ep is an abbreviation for Ecart Probable Error and is a measure of the precision of separation.

It is defined as the specific gravity at which 25% of the feed reports to clean coal (D25), minus the specific gravity at which 75% reports to clean coal (D75), all divided by 2, or: Ep = (D25 - D75)/ 2

Ave Size If the product is closely sized, average size may be takeen as the arithmetic mean of the top and bottom sizes. For 65 M x 100 M : Ave. Grain Size = (0.212 + 0.15)/ 2 = 0.181 mmIn dealing with a wide size range or unsized coal more precision is needed.The best average uses the specific surface area of the average size particle. This equals the specific surface area of the sample. For a given size distribution the average size is then: Ave. size = 100 / (sum(f/x for x = 1 to N)) f = volume abundance for each size (% wt. x 600/x size (mm))Calculating the surface area requires a great deal of information that may not be available.

Work is based on data from Process Performance Spreadsheet

uses Ave = e((ln(top)+ln(bot))/2)

Page 2: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Water-Only cyclone - normally a two stage circuit, in coal a sink reclean with 2nd stage float recirculation to 1st stage feed

Raw data was taken from old notes, a curve was fitted to the data to determine general characteristics.

From empiracal data a method using a unique formula for each device Ep =F1*F2*(F3*SG-F4)

Ep is an abbreviation for Ecart Probable Error and is a measure of the precision of separation.

The best average uses the specific surface area of the average size particle. This equals

Page 3: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

To use enter the re in the highlighted cellsThe information below is taken from a feasibility study performed on a potential coal mine in Canada. It has been modified from the original. It is included as reference data.Canadia Coal ProjectTop Bottom % Wt Ave

100.00 9.50 46.90 30.82Direct Float Sink

Sink Float % Wt % Ash % S % Wt % Ash % S % Wt % Ash1.30 16.52 3.65 1.01 16.52 3.65 1.01 100.00 18.44

1.30 1.35 29.25 5.80 1.08 45.77 5.02 1.05 83.48 21.361.35 1.40 18.25 9.90 1.04 64.02 6.41 1.05 54.23 29.761.40 1.45 8.29 15.67 1.40 72.31 7.48 1.09 35.98 39.831.45 1.50 4.82 21.32 1.86 77.13 8.34 1.14 27.69 47.071.50 1.55 3.25 24.45 1.98 80.38 8.99 1.17 22.87 52.491.55 1.60 2.87 27.92 2.37 83.25 9.64 1.21 19.62 57.141.60 1.70 3.74 33.08 2.65 86.99 10.65 1.28 16.75 62.151.70 1.80 2.24 40.49 2.99 89.23 11.40 1.32 13.01 70.501.80 1.90 0.97 47.39 3.36 90.20 11.79 1.34 10.77 76.741.90 9.80 79.65 3.42 100.00 18.44 1.54 9.80 79.65

100.00Top Bottom % Wt Ave

9.50 0.50 36.20 2.18Direct Float Sink

Sink Float % Wt % Ash % S % Wt % Ash % S % Wt % Ash1.30 26.00 2.33 0.94 26.00 2.33 0.94 100.00 22.18

1.30 1.35 22.57 5.51 0.86 48.57 3.81 0.90 74.00 29.151.35 1.40 13.34 8.61 0.88 61.91 4.84 0.90 51.43 39.531.40 1.45 7.92 12.86 1.00 69.83 5.75 0.91 38.09 50.361.45 1.50 3.43 17.57 1.29 73.26 6.31 0.93 30.17 60.201.50 1.55 2.58 22.01 1.43 75.84 6.84 0.94 26.74 65.671.55 1.60 1.61 29.93 1.75 77.45 7.32 0.96 24.16 70.341.60 1.70 2.06 33.13 1.96 79.51 7.99 0.99 22.55 73.221.70 1.80 1.37 40.72 2.22 80.88 8.54 1.01 20.49 77.251.80 1.90 1.06 48.85 2.40 81.94 9.06 1.03 19.12 79.871.90 18.06 81.69 2.43 100.00 22.18 1.28 18.06 81.69

100.00Top Bottom % Wt Ave

0.50 0.15 7.60 0.27Direct Float Sink

Sink Float % Wt % Ash % S % Wt % Ash % S % Wt % Ash1.30 32.30 1.90 0.91 32.30 1.90 0.91 100.00 20.94

1.30 1.35 16.50 4.65 0.89 48.80 2.83 0.90 67.70 30.031.35 1.40 10.98 6.98 0.85 59.78 3.59 0.89 51.20 38.20

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This information is provided as an eample only, no guarratees of performance results is given or implied.

1.40 1.45 7.12 9.84 0.97 66.90 4.26 0.90 40.22 46.731.45 1.50 4.68 13.28 0.87 71.58 4.85 0.90 33.10 54.661.50 1.55 3.17 17.59 1.06 74.75 5.39 0.91 28.42 61.481.55 1.60 2.03 22.31 1.26 76.78 5.83 0.92 25.25 66.981.60 1.70 2.05 28.96 1.60 78.83 6.44 0.93 23.22 70.891.70 1.80 1.45 37.28 1.92 80.28 6.99 0.95 21.17 74.951.80 1.90 1.04 48.28 2.18 81.32 7.52 0.97 19.72 77.721.90 18.68 79.36 3.00 100.00 20.94 1.35 18.68 79.36

100.00Top Bottom % Wt Ave

0.15 0.00 9.30

Coarse Circuit Dense Media VesselTop Bottom % Wt Sep.Gr. % Wt % Ash % S

100.00 9.50 46.90 1.55 Predicted 78.70 8.67 1.16Theoretical 80.38 8.99 1.17

Fines Circuit Water-only Cyclone (2 Stage sink reclean)Top Bottom % Wt % Wt % Ash % S

9.50 0.15 43.80 1.70 Predicted 69.66 8.77 1.01Theoretical 81.87 8.39 1.00

Not IncludedTop Bottom % Wt Plant

0.15 0.00 9.30 % Wt % Ash % S

Predicted 67.42 8.71 1.09Theoretical 73.56 8.69 1.08

Page 5: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

The information below is taken from a feasibility study performed on a potential coal mine in Canada.

% S1.541.651.962.422.732.913.073.193.343.413.42

% S1.281.401.641.902.142.242.332.372.412.432.43

% S1.351.561.77

Page 6: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

2.022.252.472.652.772.892.963.00

Page 7: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

This ia an example of how to moel a single stage process.It is a manual process and care needs to be used in using it.

Heavy Media VesselTop Sz: 150.00Btm Sz: 10.00Ave Sz: 38.73Sep Gr: 1.55F1: 0.68F2: 1.00F3: 0.047F4: 0.05Ep: 0.015

Top Bottom % Wt Ave100.00 9.50 46.90 30.82 Theoretical

Direct Float First StageSink Float % Wt % Ash % S % Wt % Ash % S SG

1.30 16.52 3.65 1.01 16.52 3.65 1.01 1.301.30 1.35 29.25 5.80 1.08 45.77 5.02 1.05 1.351.35 1.40 18.25 9.90 1.04 64.02 6.41 1.05 1.401.40 1.45 8.29 15.67 1.40 72.31 7.48 1.09 1.451.45 1.50 4.82 21.32 1.86 77.13 8.34 1.14 1.501.50 1.55 3.25 24.45 1.98 80.38 8.99 1.17 1.551.55 1.60 2.87 27.92 2.37 83.25 9.64 1.21 1.601.60 1.70 3.74 33.08 2.65 86.99 10.65 1.28 1.701.70 1.80 2.24 40.49 2.99 89.23 11.40 1.32 1.801.80 1.90 0.97 47.39 3.36 90.20 11.79 1.34 1.901.90 2.70 9.80 79.65 3.42 100.00 18.44 1.54 2.70

100.00

Page 8: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Predicted Clean CoalFirst Stage Direct Cummulative

Normalized Sink Float % Wt % Ash % S % Wt % Ash % S-16.16 -68.44 0.00 1.00 16.52 3.65 1.01 16.52 3.65 1.01-12.93 -18.66 0.00 1.00 29.25 5.80 1.08 45.77 5.02 1.05

-9.70 -3.75 0.00 1.00 18.25 9.90 1.04 64.02 6.41 1.05-6.46 -0.47 0.00 1.00 8.29 15.67 1.40 72.31 7.48 1.09-3.23 0.02 0.02 0.98 4.71 21.32 1.86 77.02 8.32 1.140.00 0.50 0.50 0.50 1.63 24.45 1.98 78.65 8.66 1.163.23 0.98 0.98 0.02 0.05 27.92 2.37 78.70 8.67 1.169.70 4.54 1.00 0.00 0.00 33.08 2.65 78.70 8.67 1.16

16.16 32.28 1.00 0.00 0.00 40.49 2.99 78.70 8.67 1.1622.63 109.67 1.00 0.00 0.00 47.39 3.36 78.70 8.67 1.1674.34 5569.36 1.00 0.00 0.00 79.65 3.42 78.70 8.67 1.16

Page 9: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

This ia an example of how to moel a multi-stage process.It is a manual process and care needs to be used in using it.

Water Only Cyclone: WOC Two stage sink recleanTop Sz: 9.50 9.50Btm Sz: 0.15 0.15Ave Sz: 1.19 1.19Sep Gr: 1.80 1.90F1: 0.87 0.87F2: 1.00 1.00F3: 0.33 0.33F4: 0.31 0.31Ep: 0.246 0.275

Top Bottom % Wt Ave9.50 0.50 36.20 2.18

DirectSink Float % Wt % Ash % S

1.30 26.00 2.33 0.941.30 1.35 22.57 5.51 0.861.35 1.40 13.34 8.61 0.881.40 1.45 7.92 12.86 1.001.45 1.50 3.43 17.57 1.291.50 1.55 2.58 22.01 1.431.55 1.60 1.61 29.93 1.751.60 1.70 2.06 33.13 1.961.70 1.80 1.37 40.72 2.221.80 1.90 1.06 48.85 2.401.90 18.06 81.69 2.43

100.00

Top Bottom % Wt Ave0.50 0.15 7.60 0.27

DirectSink Float % Wt % Ash % S

1.30 32.30 1.90 0.911.30 1.35 16.50 4.65 0.891.35 1.40 10.98 6.98 0.851.40 1.45 7.12 9.84 0.971.45 1.50 4.68 13.28 0.871.50 1.55 3.17 17.59 1.061.55 1.60 2.03 22.31 1.261.60 1.70 2.05 28.96 1.601.70 1.80 1.45 37.28 1.921.80 1.90 1.04 48.28 2.181.90 18.68 79.36 3.00

100.00Calculated Feed Calculated Recycle

Page 10: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Top Bottom % Wt Ave Top9.50 0.15 43.80 1.19 Theoretical 9.50

Direct FloatSink Float % Wt % Ash % S % Wt % Ash % S Sink

1.30 27.09 2.24 0.93 27.09 2.24 0.931.30 1.35 21.52 5.40 0.86 48.61 3.64 0.90 1.301.35 1.40 12.93 8.37 0.88 61.54 4.63 0.90 1.351.40 1.45 7.78 12.38 1.00 69.32 5.50 0.91 1.401.45 1.50 3.65 16.61 1.20 72.97 6.06 0.92 1.451.50 1.55 2.68 21.10 1.35 75.65 6.59 0.94 1.501.55 1.60 1.68 28.34 1.65 77.33 7.06 0.95 1.551.60 1.70 2.06 32.41 1.90 79.39 7.72 0.98 1.601.70 1.80 1.38 40.09 2.17 80.78 8.28 1.00 1.701.80 1.90 1.06 48.75 2.36 81.83 8.80 1.02 1.801.90 2.70 18.17 81.27 2.53 100.00 21.97 1.29 1.90

100.00

Calculated FeedTop Bottom % Wt Ave

9.50 0.15 56.79 1.19 TheoreticalDirect Float First Stage

Sink Float % Wt % Ash % S % Wt % Ash % S SG1.30 26.01 2.24 0.93 26.01 2.24 0.93 1.30

1.30 1.35 21.42 5.40 0.86 47.43 3.67 0.90 1.351.35 1.40 13.41 8.37 0.88 60.85 4.70 0.90 1.401.40 1.45 8.45 12.38 1.00 69.30 5.64 0.91 1.451.45 1.50 4.17 16.61 1.20 73.47 6.26 0.92 1.501.50 1.55 3.24 21.10 1.35 76.70 6.89 0.94 1.551.55 1.60 2.17 28.34 1.65 78.87 7.48 0.96 1.601.60 1.70 3.00 32.41 1.90 81.87 8.39 1.00 1.701.70 1.80 2.23 40.09 2.17 84.10 9.23 1.03 1.801.80 1.90 1.77 48.75 2.36 85.87 10.05 1.06 1.901.90 2.70 14.13 81.27 2.53 100.00 20.11 1.26 2.70

100.00

2nd St FeedDirect Float Second Stage

Sink Float % Wt % Ash % S % Wt % Ash % S SG1.30 3.27 2.24 0.93 3.27 2.24 0.93 1.30

1.30 1.35 3.14 5.40 0.86 6.42 3.79 0.90 1.351.35 1.40 2.29 8.37 0.88 8.71 4.99 0.89 1.401.40 1.45 1.67 12.38 1.00 10.38 6.18 0.91 1.451.45 1.50 0.95 16.61 1.20 11.34 7.06 0.93 1.501.50 1.55 0.85 21.10 1.35 12.19 8.04 0.96 1.551.55 1.60 0.66 28.34 1.65 12.84 9.08 1.00 1.601.60 1.70 1.18 32.41 1.90 14.03 11.05 1.07 1.701.70 1.80 1.11 40.09 2.17 15.14 13.17 1.15 1.801.80 1.90 1.08 48.75 2.36 16.21 15.53 1.23 1.901.90 2.70 14.13 81.27 2.53 30.34 46.15 1.84 2.70

30.34

Page 11: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Calculated Recycle

Page 12: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Bottom % Wt0.15 12.99

Direct FloatFloat % Wt % Ash % S % Wt % Ash % S

1.30 22.38 2.24 0.93 22.38 2.24 0.931.35 21.10 5.40 0.86 43.47 3.77 0.901.40 15.03 8.37 0.88 58.51 4.95 0.891.45 10.71 12.38 1.00 69.22 6.10 0.911.50 5.93 16.61 1.20 75.15 6.93 0.931.55 5.10 21.10 1.35 80.24 7.83 0.961.60 3.80 28.34 1.65 84.04 8.76 0.991.70 6.19 32.41 1.90 90.23 10.38 1.051.80 5.08 40.09 2.17 95.31 11.97 1.111.90 4.16 48.75 2.36 99.48 13.51 1.162.70 0.52 81.27 2.53 100.00 13.86 1.17

100.00

Predicted Clean CoalFirst Stage Direct Cummulative

Sink Float % Wt % Ash % S % Wt % Ash % S-2.03 0.1258 0.1258 0.874 22.74 2.24 0.93 22.74 2.24 0.93-1.83 0.1468 0.1468 0.853 18.28 5.40 0.86 41.02 3.65 0.90-1.63 0.1708 0.1708 0.829 11.12 8.37 0.88 52.14 4.65 0.90-1.42 0.1982 0.1982 0.802 6.78 12.38 1.00 58.91 5.54 0.91-1.22 0.2290 0.2290 0.771 3.21 16.61 1.20 62.13 6.12 0.92-1.02 0.2626 0.2626 0.737 2.39 21.10 1.35 64.51 6.67 0.94-0.81 0.3030 0.3030 0.697 1.51 28.34 1.65 66.02 7.17 0.96-0.41 0.3943 0.3943 0.606 1.82 32.41 1.90 67.84 7.84 0.980.00 0.4970 0.4970 0.503 1.12 40.09 2.17 68.97 8.37 1.000.41 0.6085 0.6085 0.391 0.69 48.75 2.36 69.66 8.77 1.013.66 1.0266 1.0000 0.000 0.00 81.27 2.53 69.66 8.77 1.01

1.8 1.9Predicted Clean Coal

Second Stage Direct CummulativeSink Float % Wt % Ash % S % Wt % Ash % S

-2.19 0.112 0.1118 0.888 2.91 2.24 0.93 2.91 2.24 0.93-2.00 0.129 0.1287 0.871 2.74 5.40 0.86 5.65 3.77 0.90-1.82 0.148 0.1477 0.852 1.95 8.37 0.88 7.60 4.95 0.89-1.64 0.169 0.1692 0.831 1.39 12.38 1.00 8.99 6.10 0.91-1.46 0.193 0.1934 0.807 0.77 16.61 1.20 9.76 6.93 0.93-1.27 0.220 0.2203 0.780 0.66 21.10 1.35 10.42 7.83 0.96-1.09 0.248 0.2484 0.752 0.49 28.34 1.65 10.92 8.76 0.99-0.73 0.321 0.3209 0.679 0.80 32.41 1.90 11.72 10.38 1.05-0.36 0.404 0.4045 0.596 0.66 40.09 2.17 12.38 11.97 1.110.00 0.497 0.4970 0.503 0.54 48.75 2.36 12.92 13.51 1.162.91 0.995 0.9952 0.005 0.07 81.27 2.53 12.99 13.86 1.17

Page 13: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Page 14: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Predicted 1st Stg SinkDirect Cummulative

% Wt % Ash % S % Wt % Ash % S3.27 2.24 0.93 3.27 2.24 0.933.14 5.40 0.86 6.42 3.79 0.902.29 8.37 0.88 8.71 4.99 0.891.67 12.38 1.00 10.38 6.18 0.910.95 16.61 1.20 11.34 7.06 0.930.85 21.10 1.35 12.19 8.04 0.960.66 28.34 1.65 12.84 9.08 1.001.18 32.41 1.90 14.03 11.05 1.071.11 40.09 2.17 15.14 13.17 1.151.08 48.75 2.36 16.21 15.53 1.23

14.13 81.27 2.53 30.34 46.15 1.84

Predicted 2nd Stg SinkDirect Cummulative

% Wt % Ash % S % Wt % Ash % S0.37 2.24 0.93 0.37 2.24 0.930.40 5.40 0.86 0.77 3.90 0.900.34 8.37 0.88 1.11 5.26 0.890.28 12.38 1.00 1.39 6.71 0.910.18 16.61 1.20 1.58 7.87 0.950.19 21.10 1.35 1.76 9.27 0.990.16 28.34 1.65 1.93 10.89 1.040.38 32.41 1.90 2.31 14.43 1.180.45 40.09 2.17 2.76 18.60 1.340.53 48.75 2.36 3.29 23.50 1.51

14.06 81.27 2.53 17.35 70.32 2.34

Page 15: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Heavy Media VesselTop Sz: 150.00Btm Sz: 10.00Ave Sz: 38.73Sep Gr: 1.50

F1: 0.68F2: 1.00 Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performanceF3: 0.047F4: 0.05Ep: 0.014

First StageSG

1.4 -7.21 -0.8134 0.00001.43 -5.40 -0.1860 0.0000 y = 0.25x + 0.5

1.45 -3.60 0.0043 0.00431.48 -1.80 0.1126 0.11261.50 0.00 0.5000 0.50001.53 1.80 0.9213 0.92131.55 3.60 0.9790 0.97901.58 5.40 1.0529 1.00001.60 7.21 1.6935 1.00001.63 9.01 3.4515 1.00001.65 10.81 6.8773 1.00002.70 86.46 8949.0137 1.0000

y = 3.7425x-0.4676

y = 0.0002x5 + 0.0042x4 + 0.0436x

y = -0.002x5 + 0.0236x4 - 0.0779x

Page 16: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performance

+ 0.0042x4 + 0.0436x3 + 0.2231x2 + 0.5784x + 0.645

+ 0.0236x4 - 0.0779x3 - 0.0265x2 + 0.5319x + 0.2983

Page 17: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Heavy Media CycloneTop Sz: 50.00Btm Sz: 0.15Ave Sz: 2.74Sep Gr: 1.60

F1: 0.88F2: 1.00 Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performanceF3: 0.037F4: 0.015Ep: 0.039

First StageSG

1.25 -9.00 -1.0823 0.00001.30 -7.72 -0.4094 0.0000 y = 0.25x + 0.5

1.35 -6.43 -0.1207 0.00001.40 -5.14 -0.0093 0.00001.45 -3.86 0.0270 0.02701.50 -2.57 0.0505 0.05051.55 -1.29 0.1804 0.18041.60 0.00 0.5000 0.50001.70 2.57 0.9696 0.96961.80 5.14 1.1655 1.00001.90 7.72 2.1725 1.00002.70 28.30 3120.5507 1.0000

y = -0.0028x3 + 0.0598x2 - 0.3723x + 1.5081

y = 1E-05x6 + 0.0005x5 + 0.0082x

y = 0.0004x5 - 0.0091x4 + 0.0882x

Page 18: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performance + 0.0598x2 - 0.3723x + 1.5081

+ 0.0005x5 + 0.0082x4 + 0.0685x3 + 0.3092x2 + 0.7224x + 0.7231

- 0.0091x4 + 0.0882x3 - 0.4074x2 + 0.9152x + 0.1633

Page 19: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Coarse Coal Jig: CCJ 1st Stg 2nd StgTop Sz: 150.00 150.00Btm Sz: 1.25 1.25Ave Sz: 13.69 13.69Sep Gr: 1.50 1.60

F1: 0.92 0.92F2: 1.00 1.00 Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performanceF3: 0.11 0.11F4: 0.01 0.01Ep: 0.142 0.152

First Stage Second StageSG SG

1.25 -1.76 0.1052 0.1052 1.25 -2.30 0.0430 0.04301.30 -1.41 0.1683 0.1683 1.30 -1.97 0.0763 0.0763

1.35 -1.05 0.2443 0.2443 1.35 -1.64 0.1240 0.12401.40 -0.70 0.3306 0.3306 1.40 -1.31 0.1885 0.18851.45 -0.35 0.4169 0.4169 1.45 -0.98 0.2615 0.26151.50 0.00 0.5032 0.5032 1.50 -0.66 0.3420 0.34201.55 0.35 0.5895 0.5895 1.55 -0.33 0.4226 0.42261.60 0.70 0.6758 0.6758 1.60 0.00 0.5032 0.50321.70 1.41 0.8167 0.8167 1.70 0.66 0.6644 0.66441.80 2.11 0.8990 0.8990 1.80 1.31 0.8029 0.80291.90 2.81 0.9482 0.9482 1.90 1.97 0.8855 0.88552.70 8.44 1.2295 1.0000 2.70 7.22 1.0678 1.0000

1.25 -1.757629 0.1052 1.25 -2.2976231.30 -1.406103 0.1683 1.30 -1.9693911.35 -1.0546 0.2443 1.35 -1.64121.40 -0.7031 0.3306 1.40 -1.31291.45 -0.3515 0.4169 1.45 -0.98471.50 0.0000 0.5032 1.50 -0.65651.55 0.3515 0.5895 1.55 -0.32821.60 0.7031 0.6758 1.60 0.00001.70 1.4061 0.8167 1.70 0.65651.80 2.1092 0.8990 1.80 1.31291.90 2.8122 0.9482 1.90 1.96942.70 8.4366 1.2295 2.70 7.2211

Page 20: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performance

SG 1st Stg 2nd Stg Ovrl

1.25 0.1052 0.0430 0.004521.30 0.1683 0.0763 0.012841 y = 0.2455x + 0.5032

1.35 0.2443 0.1240 0.0302861.40 0.3306 0.1885 0.0623311.45 0.4169 0.2615 0.1090021.50 0.5032 0.3420 0.1721141.55 0.5895 0.4226 0.2491341.60 0.6758 0.5032 0.3400621.70 0.8167 0.6644 0.5426161.80 0.8990 0.8029 0.7217831.90 0.9482 0.8855 0.8396662.70 1.0000 1.0000 0.999998

y = 0.0002x2 - 0.0243x + 1.2129

y = 0.0118x3 + 0.1364x2 + 0.5221x + 0.6656

y = 0.0043x3 - 0.0606x2 + 0.2896x + 0.5174

Page 21: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

+ 0.5221x + 0.6656

+ 0.2896x + 0.5174

Page 22: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Fine Coal Jig: FCJ 1st Stg 2nd StgTop Sz: 75.00 75.00Btm Sz: 0.10 0.10Ave Sz: 2.74 2.74Sep Gr: 1.60 1.65

F1: 1.35 1.35F2: 1.00 1.00 Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performanceF3: 0.114 0.114F4: 0.1 0.1Ep: 0.111 0.119

First Stage Second StageSG SG

1.25 -3.15 0.1021 0.1021 1.25 -3.36 0.0927 0.09271.30 -2.70 0.1240 0.1240 1.30 -2.94 0.1116 0.1116

1.35 -2.25 0.1497 0.1497 1.35 -2.52 0.1335 0.13351.40 -1.80 0.1796 0.1796 1.40 -2.10 0.1589 0.15891.45 -1.35 0.2140 0.2140 1.45 -1.68 0.1880 0.18801.50 -0.90 0.2753 0.2753 1.50 -1.26 0.2212 0.22121.55 -0.45 0.3876 0.3876 1.55 -0.84 0.2898 0.28981.60 0.00 0.5000 0.5000 1.60 -0.42 0.3949 0.39491.70 0.90 0.7247 0.7247 1.70 0.42 0.6051 0.60511.80 1.80 0.8624 0.8624 1.80 1.26 0.7906 0.79061.90 2.70 0.9381 0.9381 1.90 2.10 0.8935 0.89352.70 9.89 2.0867 1.0000 2.70 8.83 1.6237 1.0000

Page 23: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performance

SG 1st Stg 2nd Stg Ovrl

1.25 0.1021 0.0927 0.0094641.30 0.1240 0.1116 0.013835 y = 0.25x + 0.5

1.35 0.1497 0.1335 0.0199911.40 0.1796 0.1589 0.0285381.45 0.2140 0.1880 0.0402381.50 0.2753 0.2212 0.0609011.55 0.3876 0.2898 0.1123541.60 0.5000 0.3949 0.1974591.70 0.7247 0.6051 0.4385051.80 0.8624 0.7906 0.6817911.90 0.9381 0.8935 0.8381512.70 1.0000 1.0000 0.999998

y = 0.0013x2 - 0.063x + 1.513

y = 0.0007x3 + 0.015x2 + 0.1185x + 0.3482

y = 0.0051x3 - 0.064x2 + 0.2935x + 0.512

Page 24: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

+ 0.1185x + 0.3482

+ 0.2935x + 0.512

Page 25: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Mineral Jig: MJ 1st Stg 2nd StgTop Sz: 75.00 75.00Btm Sz: 0.10 0.10Ave Sz: 2.74 2.74Sep Gr: 1.60 1.65

F1: 1.35 1.35F2: 1.00 1.00 Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performanceF3: 0.11 0.11F4: 0.1 0.1Ep: 0.103 0.110

First Stage Second StageSG SG

1.25 -3.41 0.1185 0.1185 1.25 -3.63 0.1098 0.10981.30 -2.92 0.1391 0.1391 1.30 -3.18 0.1279 0.1279

1.35 -2.44 0.1630 0.1630 1.35 -2.73 0.1483 0.14831.40 -1.95 0.1913 0.1913 1.40 -2.27 0.1720 0.17201.45 -1.46 0.2254 0.2254 1.45 -1.82 0.1999 0.19991.50 -0.97 0.2946 0.2946 1.50 -1.36 0.2331 0.23311.55 -0.49 0.3906 0.3906 1.55 -0.91 0.3062 0.30621.60 0.00 0.5102 0.5102 1.60 -0.45 0.3979 0.39791.70 0.97 0.8161 0.8161 1.70 0.45 0.6430 0.64301.80 1.95 0.9690 0.9690 1.80 1.36 0.9009 0.90091.90 2.92 1.0053 1.0000 1.90 2.27 0.9864 0.98642.70 10.72 15.4859 1.0000 2.70 9.54 10.0471 1.0000

Page 26: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performance

SG 1st Stg 2nd Stg Ovrl

1.25 0.1185 0.1098 0.0130041.30 0.1391 0.1279 0.017794 y = 0.2455x + 0.5032

1.35 0.1630 0.1483 0.024181.40 0.1913 0.1720 0.0329041.45 0.2254 0.1999 0.0450471.50 0.2946 0.2331 0.0686651.55 0.3906 0.3062 0.1195811.60 0.5102 0.3979 0.2030171.70 0.8161 0.6430 0.5247741.80 0.9690 0.9009 0.8730081.90 1.0000 0.9864 0.9864422.70 1.0000 1.0000 0.999998

y = 0.0013x2 - 0.063x + 1.513

y = 0.0118x3 + 0.1364x2 + 0.5221x + 0.6656

y = 0.0043x3 - 0.0606x2 + 0.2896x + 0.5174

Page 27: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

+ 0.5221x + 0.6656

+ 0.2896x + 0.5174

Page 28: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Water Only Cyclone: WOC Two stage sink recleanTop Sz: 50.00 50.00Btm Sz: 0.13 0.13Ave Sz: 2.50 2.50Sep Gr: 1.60 1.65

F1: 0.76 0.76F2: 1.00 1.00 Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performanceF3: 0.33 0.33F4: 0.31 0.31Ep: 0.166 0.178

First Stage Second StageSG SG

1.25 -2.11 0.1186 0.1186 1.25 -2.24 0.1071 0.1071

1.30 -1.81 0.1492 0.1492 1.30 -1.96 0.1329 0.1329

1.35 -1.51 0.1865 0.1865 1.35 -1.68 0.1641 0.16411.40 -1.21 0.2313 0.2313 1.40 -1.40 0.2014 0.20141.45 -0.90 0.2845 0.2845 1.45 -1.12 0.2454 0.24541.50 -0.60 0.3486 0.3486 1.50 -0.84 0.2974 0.29741.55 -0.30 0.4199 0.4199 1.55 -0.56 0.3583 0.35831.60 0.00 0.4970 0.4970 1.60 -0.28 0.4251 0.42511.70 0.60 0.6646 0.6646 1.70 0.28 0.5731 0.57311.80 1.21 0.8130 0.8130 1.80 0.84 0.7341 0.73411.90 1.81 0.9024 0.9024 1.90 1.40 0.8458 0.84582.70 6.63 1.2331 1.0000 2.70 5.88 1.1384 1.0000

Page 29: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performance

SG 1st Stg 2nd Stg Ovrl

1.25 0.1186 0.1071 0.012705

1.30 0.1492 0.1329 0.019828

1.35 0.1865 0.1641 0.0305991.40 0.2313 0.2014 0.0465751.45 0.2845 0.2454 0.0698061.50 0.3486 0.2974 0.1036751.55 0.4199 0.3583 0.1504171.60 0.4970 0.4251 0.2112751.70 0.6646 0.5731 0.3808631.80 0.8130 0.7341 0.5968091.90 0.9024 0.8458 0.7632492.70 1.0000 1.0000 0.999998

y = -0.0028x3 + 0.0598x2 - 0.3723x + 1.5081

y = 0.0051x3 + 0.0645x2 + 0.2954x + 0.5026

y = -0.0068x3 + 0.0265x2 + 0.2646x + 0.4971

y = 0.0062x3 - 0.0745x2 + 0.3301x + 0.5125

Page 30: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

- 0.3723x + 1.5081

+ 0.2954x + 0.5026

+ 0.2646x + 0.4971

+ 0.3301x + 0.5125

Page 31: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

`Concentrating Table

Top Sz: 50.00Btm Sz: 0.15Ave Sz: 2.74Sep Gr: 1.60F1: 1.06 y = -0.0983Ln(x) + 1.1566F2: 1.00 Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performanceF3: 0.25F4: 0.08Ep: 0.338

First StageSG

1.25 -1.03 0.2433 0.24331.30 -0.89 0.2784 0.2784 y = 0.25x + 0.5

1.35 -0.74 0.3153 0.31531.40 -0.59 0.3523 0.35231.45 -0.44 0.3892 0.38921.50 -0.30 0.4261 0.42611.55 -0.15 0.4631 0.46311.60 0.00 0.5000 0.50001.70 0.30 0.5739 0.57391.80 0.59 0.6477 0.64771.90 0.89 0.7216 0.72162.70 3.25 0.9888 0.9888

y = 0.0002x4 + 0.0055x3 + 0.0526x2 + 0.2388x + 0.4399

y = 0.0144x3 - 0.1527x2 + 0.5408x + 0.3498

Page 32: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performance

+ 0.0526x2 + 0.2388x + 0.4399

+ 0.5408x + 0.3498

Page 33: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Spiral ConcentratorTop Sz: 50.00Btm Sz: 0.15Ave Sz: 2.74Sep Gr: 1.60F1: 1.06 y = -0.0983Ln(x) + 1.1566F2: 1.00 Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performanceF3: 0.25F4: 0.08Ep: 0.338

First StageSG

1.25 -1.03 0.2433 0.24331.30 -0.89 0.2784 0.2784 y = 0.25x + 0.5

1.35 -0.74 0.3153 0.31531.40 -0.59 0.3523 0.35231.45 -0.44 0.3892 0.38921.50 -0.30 0.4261 0.42611.55 -0.15 0.4631 0.46311.60 0.00 0.5000 0.50001.70 0.30 0.5739 0.57391.80 0.59 0.6477 0.64771.90 0.89 0.7216 0.72162.70 3.25 0.9888 0.9888

y = 3E-06x6 + 0.0001x5 + 0.0018x4 + 0.0147x

y = 0.0004x3 - 0.0109x2 + 0.095x + 0.6813

Page 34: SDM Process sim.xls

This information is provided as an eample only, no guarratees of performance results is given or implied.

Prediction or guarantee, 1.0 if predicting performance, 1.25 if guaranteeing performance

+ 0.0018x4 + 0.0147x3 + 0.0651x2 + 0.1498x + 0.347

+ 0.095x + 0.6813