m3-12 r rajamani s latchireddi

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    Simulation of Ball and Rock Charge

    Motion in SAG Mills for the Design of

    Shell and Pulp Lifters

    R.K.Rajamani and S.Latchireddi

    University of Utah135 S 1460 E, Rm 412, Salt Lake City, UT 84112

    Part 1

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    Industrial SAG Mill

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    Components of grate discharge mill

    FeedTrunnion

    MillShell

    Grate PulpLifter

    DischargeTrunnion

    FeedTrunnion

    MillShell

    Grate PulpLifter

    DischargeTrunnion

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    Impact

    Attrition

    ImpactImpact

    AttritionAttrition

    Field of Breakage

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    Charge Motion

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    Flow through Grate and Pulp

    Lifters

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    Charge Motion using DEM

    Simulations

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    Unit Vector :

    Relative Velocity :Normal Velocity :

    Tangential Velocity :

    Shear Velocity :

    1212 PPPPe

    12 VVVr

    eVVrn

    eVrVrVVts

    21

    21

    DEM Algorithm

    X

    Y

    Z

    P1

    P2

    e

    nrtVVV

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    Gap between Lifters

    (current practice)

    6

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    Lifter Design

    (since 1998)

    Ball release

    22

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    Charge Motion of 38x24 ft

    SAG Mill fitted with 60 shelllifters

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    Top hat (7 degrees)

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    25 degree release angle

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    35 degree release angle

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    45 degree release angle

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    Collahuasi Mines

    Original lifters : 6 degree release angle

    First change : 17 degree release angle Millsoft online simulation : 30 degree

    release angle

    Production increase : 11%

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    Allumbrera Mines(36x15 ft SAG)

    Original lifters : 72 rows of 10 degree

    release angle

    First change : 48 rows of 25 degree release

    angle

    Millsoft online simulation : 36 rows of 30degree release angle

    Throughput increase : 50,000 to 96,000 tpd

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    Candelaria Mines(36x15 ft SAG)

    Original lifters : 72 rows of 10 degree

    release angle

    First change : 20 degree release angle

    Millsoft online simulation : 36 rows of 35

    degree release angle Throughput increase : 15%

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    Los Pelambres Mines(36x17 ft SAG)

    Original lifters : 72 rows of 8 degree release

    angle

    Millsoft online simulation : 36 rows of 30

    degree release angle

    Throughput increase : 10,000 tpd

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    3D Verification with a lab Scale

    Mill

    0.9 X 0.14 m mill

    Front face fitted with a Plexiglas plate.

    50 mm grinding balls 220-260 balls

    Power measured with a torque sensor

    Video images comparison

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    20 % ball load, 30 % critical speed

    Measured Power - 301 Watts

    Predicted Power - 294 Watts

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    20 % ball load, 50 % critical speed

    Measured Power - 459 Watts

    Predicted Power - 461 Watts

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    20 % ball load, 70 % critical speed

    Measured Power - 532 Watts

    Predicted Power - 531 Watts

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    Kennecott SAG Mill Simulation

    34 X 15 ft. Mill

    15 degree tapered cones

    33 rows of lifters 25% total filling and 12% ball filling

    Mill speed 10.6 rpm

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    SAG Mill Simulation Graphics

    View from feed end of mill

    Angled end view #1

    Angled end view #2

    Angled end view #3

    Side view

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    Isometric view of charge motion within the containing

    cylindrical shell and lifters.

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    Kennecott Simulation Results

    Mill power draft 3.2 megawatts per meter

    length of mill.

    Predicted power of 34 ft. SAG mill is 6.6megawatts.

    Actual operating power draft 7 megawatts.

    See charge animation.

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    3D Power predictions

    Mill diameterX Mill

    Length (m)

    Mill filling % Mill speed( % critical)

    Power drawactual

    Power drawpredicted

    0.25 X 0.29 50 60 76 watts 71 watts

    0.38 X 0.29 50 60 209 212

    0.9 X 0.14 20 31 301 294

    0.9 X 0.14 20 50 459 461

    0.9 X 0.14 20 71 532 531

    0.9 X 0.14 30 31 393 396

    0.9 X 0.14 30 50 617 624

    10.2 X 4.6 25 74 7.0 mW 6.6 mW

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    3D Simulation of 40 X 20 ft. Mill

    11.89 X 3.0 m mill simulated 25 % of mill volume filled with balls and

    rock particles

    Particle sizes: Mix of0.125m,0.10m,0.075m balls and rocks

    155,000 particles in simulation

    Power predicted 17,956 kW compares withobserved power 16,500 to 19,000 kW