rubio ubc-fundamentals and design

Upload: psotor

Post on 07-Aug-2018

216 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    1/254

    Slide 1

    Design and Planning of

    Block Caving OperationsEnrique Rubio, PhD

    July 2006

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    2/254

    Slide 2

    Outline

    Introduction

    Geotechnical Characterization

    Block Cave Fundamentals

    Caveability

    Fragmentation

    Stresses

    Flow

    Mine Design

    Mine Planning

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    3/254

    Slide 3

    Workshop Scheme

    9:00-10:30 Lectures

    10:30-10:45 Coffee Break

    10:45-12:15 Lectures

    12:15-13:00 Lunch

    13:00-14:30 Design Examples

    14:30-14:45 Coffee Break

    14:45-16:15 Design Examples 16:15-16:30 Closing

    16:30-18:00 Personal Readings

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    4/254

    Slide 4

    Introduction

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    5/254

    Slide 5

    Mining Methods

    Open ( usually partially extracted)

    Supported

    Caving

    Surface mining

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    6/254

    Slide 6

    Pillar SupportedArtificiallySupported

    Caving

    Room and PilarSublevel and

    Longholestoping

    Bench and Fillstoping

    Cut and FillStoping

    ShrinkageStoping

    VCRStoping

    LonwallMining

    SublevelCaving

    BlockCaving

    Increases Displacements

    Increases stresses on the abutment areas

    Underground Mining Methods

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    7/254Slide 7

    Evolution of daily production rates atselected large underground mines

    0

    20000

    40000

    60000

    80000

    100000

    120000

    140000

    160000

    1880 1900 1920 1940 1960 1980 2000 2020 2040YEAR

    TONNESPERDAY

    Bingham Canyon

    Climax

    Salvador

    Kiruna

    Mount Isa

    San Manuel

    El Teniente

    MiamiRidgeway

    Emergenceofmodernmining

    geomechanics.Foundingof

    ISRM

    International

    CavingStudy

    ImperialCollege

    underground

    excavationsproject

    Olympic Dam

    Andina

    Freeport IOZ/DOZ

    Henderson

    Malmberget

    Palabora

    PremierKidd Creek

    Brown (2004)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    8/254Slide 8

    Evolution of maximum mining depth forselected mines

    YEAR

    0

    500

    1000

    1500

    2000

    2500

    3000

    3500

    1880 1900 1920 1940 1960 1980 2000 2020 2040

    DEPTH(m)

    Mount Isa

    AndinaRidgeway

    Palabora

    Kidd Creek

    Bingham Canyon

    Freeport (DOZ)Kiruna

    Olympic Dam

    Emergenceofmodernmining

    geomechanics.Foundingof

    ISRM In

    ternational

    CavingStudy

    ImperialCollege

    underground

    excavationsproject

    El Teniente

    Henderson

    Salvador

    Brown (2004)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    9/254Slide 9

    Caving Mining

    Cave mining refers to allmining operations in whichthe ore body cavesnaturally after undercutting

    the base. The cavedmaterial is recovered usingdraw points. (Laubscher,1994)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    10/254Slide 10

    Caving Mining System

    Caving

    Undercut Drilling

    Undercut Level

    Production Level

    Haulage Level

    Ventilation Level

    2ndHaulage

    Crusher

    Tipping point

    Draw Point

    Secondary Breakage

    Ore Passes

    Feeder

    GrizzlyConveyor

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    11/254Slide 11

    Panel Caving, De Wolf 1981

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    12/254Slide 12

    Free Caving Methods

    Block caving mostcommon method

    Lowest working cost pertonne

    Long ramp-in periods

    High up-front capital

    Pit or Hybrid gearing

    91m lowest block height Cave de-stressing

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    13/254Slide 13

    Facts About Block Caving

    Used by many of the worlds largest undergroundmines

    High production: 12,000 to 48,000 tpd

    Lowest mining costs per ton of any undergroundmining method

    Excellent productivity per person and per unit ofequipment once developed

    Suitable for automationLow degree of selectivity

    It requires skilled working force

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    14/254Slide 14

    Characteristics

    Production rates 12000 a 48000 tpd

    Dilution 20%

    Mining Recovery 75% Cost 2.1-5$/t

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    15/254Slide 15

    Ore Bodies Suitable to Use BlockCaving

    Geology: Pipes, Porphyry, massive mineralization

    Geometry: ore bodies that could sustain a large openfootprint

    Rock Mass: weak enough to initiate caving and strongenough to maintain the production crown pillar stable(4A-2B, Laubscher 1990)

    Structural patterns to orient sequence and propagatecaving to surface

    Jointing is desired to produce fine fragmentation Low grade variability, to avoid selective draw

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    16/254

    Slide 16

    Why is Block Caving relevant?

    El Salvador

    Andina

    El Teniente

    Bingham

    Canyon

    Chuquicamata

    Freeport_DOZ

    RTZ_Argyle

    De Beers-Finsch

    RTZ_Northparkes

    Philex_Padcal

    RTZ_PalaboraDe Beers-

    Premier

    IVANHOE

    New Mines

    Mines in operations 2003

    Henderson

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    17/254

    Slide 17

    Chuquicamata, Chile

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    18/254

    Slide 18

    Bingham Canyon, US

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    19/254

    Slide 19

    Highland Valley

    Copper,Canada

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    20/254

    Slide 20

    A Few Examples

    Mina Pais Layout Produccin (Mt) Productos

    El Teniente Chile LHD/Parrillas 54 Cobre

    El Salvador Chile LHD 10 Cobre

    Andina Chile LHD/Parrillas 16 Cobre

    Henderson USA LHD 5.4 MolibdenoBell Canada LHD 0.9 Asbestos

    Premier Sudfrica LHD 3 Diamantes

    Shabanie Zimbawe LHD 1.3 Cobre

    Philex Filipinas LHD/Parrillas 10 Cobre

    Lutopan Filipinas Parrillas 9.4 CobreFreeport Indonesia LHD 18 Cobre/Oro

    Northparkes Australia LHD 3.9 Cobre/Oro

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    21/254

    Slide 21

    Costing

    September 2004 CIM Bulletin S.FUENTES S. and J. CCERES S.

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    22/254

    Slide 22

    Production Rates for DifferentMines around the World

    -

    200,000

    400,000

    600,000

    800,000

    1,000,000

    1,200,000

    1,400,000

    1 11 21 31 41 51 61 71 81 91 101 111 121 131

    Period

    Tons/mont

    h

    RU Palabora RU DOZ RU Esmeralda RU Padcal RU_ RN RU_ICW RU_IN RU_3pLHD

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    23/254

    Slide 23

    Block Cave Operating Costs

    1.5

    2

    2.5

    3

    3.5

    4

    0 20 40 60 80 100 120 140

    Mining Rate (Ktpd)

    OperatingCost($/t)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    24/254

    Slide 24

    Block Cave Operating Costs

    Extraction costs Pre undercutting caving 1-1.2 $/t

    Advanced undercutting 2-2.4 $/t

    Traditional undercutting 1.4-1.9 $/t

    Loading and Haulage costs 0.3-1.0 $/t trains and trucks

    Hauling

    0.5-1 $/t automatic trains

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    25/254

    Slide 25

    Component of Operating Costs

    Labor 49%

    Supplies 23%

    Third parties services 26% Others 2%

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    26/254

    Slide 26

    Management Costs

    Maintenance

    Suppliers

    Service equipment Services to people

    Administration

    The overall management cost adds up50% of the operating costs

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    27/254

    Slide 27

    Development Costs ($/m2)

    Layout Hc CC $/m2

    Tte 8 350 1.324324 1251

    Pilar 2021 280 0.935897 708

    Andesita 300 0.677419 549Dacita 250.00 0.289855 196

    Pipa 17x20 200.00 1.904762 1029

    Diablo 17x15 300.00 1.354167 1097

    Andina_LHD 13x13.5 350.00 0.878613 830

    Andina_grizzly 8.5x8.5 280 1.205128 911

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    28/254

    Slide 28

    Development Costs Trend

    y = 1.2791x - 21.026

    R2= 0.8796

    0

    100

    200

    300

    400

    500

    600

    0 50 100 150 200 250 300 350 400

    Reserves (Mt)

    CapitalCo

    st(M$)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    29/254

    Slide 29

    Rock Mass Characterization

    for Block Caving

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    30/254

    Slide 30

    Rock Mass Properties Affecting theMine Planning Process

    Ore Body

    Cavability Fragmentation

    Mining Sequence

    Gravity Flow Dilution

    Stresses

    Undercut Design

    Draw Control

    Draw rate, Uniformity, etc

    Layout Design

    Draw Height

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    31/254

    Slide 31

    Parameters to be Considered

    Intact properties

    Rock mass

    Structures

    Hydrogeology

    Stresses

    Induced stresses by blasting

    Topography

    Geological models

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    32/254

    Slide 36

    Full geotechnical log

    RQD

    Hardness

    Number of joints/ joint spacing

    Small/ large scale condition

    Joint infilling

    Alteration

    Data can be turned into ratings

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    33/254

    Slide 37

    Rock Mass Classification Use 3 rating systems

    MRMR

    - Support design

    - Draw point spacing

    - Cavability

    - Glory hole definition

    - Rock mass strength estimates (DRMS values)

    Bartons Q

    - ore pass stability assessment (Stacey 2001)

    - check support design, shotcrete thickness

    - Decline/ shaft support through soft near surface rocks RMR/GSI

    - Modeling input parameters

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    34/254

    Slide 38

    MRMR: Modified Rock MassRating (Laubsher, 1977, 1984)

    RMR(1976) and includes :

    In situ and induced stresses

    Blasting effects

    Weathering of exposed rock masses

    RMR was originally modified to be appliedin caving mining

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    35/254

    Slide 39

    IRMR Laubscher Lakubec (2000)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    36/254

    Slide 40

    GSI, Hoek 1995

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    37/254

    Slide 41

    RQD

    Concern of different measurement methods

    3 main methods of RQD measurement

    25% RQD error results in a 4 rating point error in RMR

    52% RQD error results in an 6 rating point error in the RMR

    Changes the caving Hydraulic Radius by 3 to 6m RQD may not be the problem ?

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    38/254

    Slide 42

    MRMR SYSTEM Critical points are the adjustments

    Adjustments make the rock mass worse or better

    Total worse case adjustment to rating is downgrade by 50%

    Eg MRMR = 25 for RMR of 50

    Therefore when the cave is being developed does weathering.

    Stress, blasting and joint orientation have a +/- effect on the rockmass

    -An adjustment of 1 or 100 has no effect

    -Joint orientation and stress hardest adjustments to apply

    -A stress or joint adjustment of 85% means veryeffects

    -120% stress adjustment has a confining effect on the rock mass-Major error to use caving adjustments for support design

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    39/254

    Slide 43

    BC geotech issues

    2 CAVE TYPESHARD CAVES (MRMR >45, 1000m depth K ratio 1-2)

    Cave stall

    Fragmentation

    Rock/strain bursting

    SOFT CAVES (MRMR 35

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    40/254

    Slide 44

    Fundamentals

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    41/254

    Slide 45

    Method Fundamentals

    Caveability

    Fragmentation

    Flow Stresses

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    42/254

    Slide 46

    Caveability

    Often caveability measures the capacity ofan ore body to be caved

    A few important aspects of caveability

    Would it cave?

    Hydraulic radius to induce caving

    Caving rate (m/day)

    Cave ratio, cave propagation

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    43/254

    Slide 47

    Undercutting aims

    AIMSWhat are we trying to do?

    Extract a void to allow caving to occur

    Initiate caving with minimum stressdamage

    Propagate the cave to reduce undercutabutment stresses

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    44/254

    Slide 48

    State of Caving

    Stress Caving, is thestate at which cavingpropagates towardssurface, shear failure

    Subsidence Caving,when caving breaksthrough surface,tension cracks onsurface

    Flores, et al 2004

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    45/254

    Slide 49

    Idealized Caving Model (after Voegele et al1978)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    46/254

    Slide 50

    Cave PropagationInitial cut defines a beam and thefailure process begins with

    tension failure at the back of thecave

    Cave back starts to shapeconcave due to shear failure

    at the back

    The deformation area increases atheight and the seismic activitydecreases

    Flores et al(2004b)

    C bilit Ch t (L b h 1988 d

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    47/254

    Slide 51

    Caveability Chart (Laubscher 1988 andBartlett 1998)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    48/254

    Slide 52

    Caveability Chart Including El TenienteObservations

    0 10 20 30 40 50 60 70 800

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    MiningRockMassRating,

    MRMR

    Hydraulic radius of the undercut area, HR(m)

    Caving zone

    Stable zone

    INCA OESTE SECTOR

    NORTHPARKES

    Applying Stability Chart to Estimate Caveability

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    49/254

    Slide 53

    Applying Stability Chart to Estimate Caveability(Mawdesley et al2001)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    50/254

    Slide 54

    Caveability Using Numerical Models

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    51/254

    Slide 55

    Cave Rock Volume for Different states ofthe Hydraulic Radius (ICS, 2000)

    Cave rate changes ascaving propagates tosurface

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    52/254

    Slide 56

    Measuring Cave Propagation Using TDRsat DOZ (T. Szwedzicki, 2004)

    C

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    53/254

    Slide 57

    Measuring Cave Propagation Using TDRsat DOZ (T. Szwedzicki, 2004)

    Cave rate changes fordifferent rock types for marble 0.25 to

    1.10 m per day for magnetite skarn

    0.15 to 0.95 m perday for forterite skarn

    0.08 to 0.30 m perday.

    Also cave rate changesat different depths

    Caving propagation factor (CPF)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    54/254

    Slide 58

    Caving propagation factor (CPF)(Flores, 2003)

    Stress over strength

    (Flores et al2004b)

    Estimating Major Stresses using

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    55/254

    Slide 59

    HP

    HC

    hC

    B

    K

    =

    =

    =

    =

    =

    400 m

    500 m

    150 m

    100 m

    1.5

    S1

    HP

    HC

    hC

    B

    K

    =

    =

    =

    =

    =

    400 m

    500 m

    150 m

    100 m

    1.5

    HP

    HC

    hC

    B

    K

    =

    =

    =

    =

    =

    400 m

    500 m

    150 m

    100 m

    1.5

    S1

    Estimating Major Stresses usingNumerical Modeling

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    56/254

    Slide 60

    CPF for a given rock mass

    CPF f Diff t R k M

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    57/254

    Slide 61

    CPF for Different Rock Masses

    Back analysis of Inca Oeste Caveability

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    58/254

    Slide 62

    Back analysis of Inca Oeste Caveabilityusing CPF (Flores et al2004b)

    Block Height and Footprint width for Caving

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    59/254

    Slide 63

    FOOTPRINT WIDTH (m)

    Flores et al(2004a)

    0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750 800

    0

    50

    100

    150

    200

    250

    300

    350

    400

    450

    500

    BLOC

    K

    HEIG

    HT

    (m)

    H=2B H=B

    Difficultconnectio

    n tosurface

    Connection to

    surface

    Easyconnectio

    n tosurface

    Block Height and Footprint width for CavingPropagation (Flores, et al 2004)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    60/254

    Slide 64

    CAVING INITIATION CAVING WITHOUT CONNECTIONCAVING WITHOUT CONNECTION

    CONNECTION TO THE PITBOTTOM

    TRANSITIONAL CAVING STEADY-STATE CAVING

    (Flores & Karzulovic 2003b)

    Caving Connecting to an Open Pit

    Based on modeling

    It shows slidingfailure of the pit

    Two cases Palaboraand Northparkes thepit failures have beenrather toppling thansliding

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    61/254

    Slide 65

    Summary Caveability

    Caveability affects productivity since it definesthe hydraulic radius of a block and the sequenceat which they need to be undercut

    Draw rate must be lower than cave rate Caving performance will affect the formation of

    stable arcs

    Depending on the cave propagation there couldbe point stresses at the edges of the layout

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    62/254

    Slide 66

    Fragmentation

    The Relevance of Fragmentation in

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    63/254

    Slide 67

    The Relevance of Fragmentation inBlock Caving

    Equipment selection and Ore HandlingStrategy

    Productivity by affecting the oversize and

    hang up frequency

    Ultimate defines the utilization of the orebody

    The Relevance of Fragmentation in

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    64/254

    Slide 68

    The Relevance of Fragmentation inBlock Caving

    Defines the draw point spacing to achieveinteraction

    Mixing and dilution entry

    F t ti

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    65/254

    Slide 69

    Fragmentation

    Primary fragmentation

    Secondary

    fragmentation/

    material flow and

    friction

    Primary fragmentation

    Fragmentation at Premier SouthAfrica

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    66/254

    Slide 70

    g(after Butcher 2002a)

    Block Volume Estimation to Asses

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    67/254

    Slide 71

    Block Volume Estimation to AssesFragmentation (Cai et al2004)

    Block Volume

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    68/254

    Slide 72

    Fragmentation at Esmeralda , El Teniente

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    69/254

    Slide 73

    Fragmentation input data

    Primary- Mean dip/ dip direction

    - Spacing statistics

    - Rock mass strength

    - Dip/ direction of the cave face

    - General stress regime

    Secondary- Aspect ratio

    - Rate of draw

    - Cushing/ fines

    - Cave height and muck pile pressure

    Main Components of Rock Mass

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    70/254

    Slide 74

    Main Components of Rock MassFragmentation Assesments

    Joint setting

    Blocks

    Fractures within the blocks

    Draw rates

    Particle size reduction through draw

    Height of draw General caving performance

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    71/254

    Slide 75

    Fragmentation Determination

    Empirical tables (Laubscher 2000)- Primary

    - Secondary

    - effects

    BCF (Esterhuizen 1994)

    - Primary secondary- Secondary

    - Draw rates and hang-up frequency

    CHASM (Butcher 2000)

    - Primary fragmentation- Visualization tool

    JKFrag ( Harries 2001)

    -Primary-Rigorous tool

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    72/254

    Slide 76

    Fragmentation (Laubscher, 1994)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    73/254

    Slide 77

    BCF Fragmentation Software

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    74/254

    Slide 78

    Fragmentation (BCF)

    F t ti f Diff t St I d

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    75/254

    Slide 79

    Fragmentation for Different Stress Index(Eadie 2003)

    In si tu

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    76/254

    Slide 80

    El Teniente method (Blondel et al1995)

    Geotechnical characterisation (structural domaindefinition, set definition, orientation and spacingstatistics, rock strengths, rock mass classifications)

    Establish stresses in the confinement zone ahead ofcaving

    Determine anisotropy indices for the structural domains

    Establish the geometry of the natural unit block (on thebasis of three orthogonal discontinuity sets)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    77/254

    Slide 81

    El Teniente method continue..(Blondel et al1995)

    Generate a statistical distribution of blockvolumes produced by primary fragmentation(before further fracturing)

    Measure fragmentation at draw pointsexcluding fine material and construct particlesize distribution curve

    Compare predicted and measured results

    Validation of El Teniente method (Blondel et al 1995)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    78/254

    Slide 82

    Validation of El Teniente method (Blondel et al1995)

    +

    +

    +

    +

    ++

    +

    ++

    Structural Domain 1

    Cumulativ

    e%

    Volume (m3)

    Sets 1-3-4

    MeasuredTotal

    Sets 2A-3-4

    MeasuredPartial

    Set 3 and drift mapping

    MeasuredMetallica Consulting

    +

    W ld F i C

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    79/254

    Slide 83

    World Fragmentation Curves

    Comparison of primary fragmentation from different deposits around the world

    0

    20

    40

    60

    80

    100

    0.001 0.01 0.1 1 10 100 1000

    Block Volume (m3)

    CumulativeVolum

    ePercentLessThan

    GRSBC

    Kucing Liar

    DOZ Fos-MagDOZ Diorite

    Palabora Less Fractured

    Palabora Well Fragmented

    Bingham Coarse

    Bingham Fine

    Argyle

    MLZ Overall

    Annavarapu S, Un-Published

    Evolution of Fragmentation as

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    80/254

    Slide 84

    Evolution of Fragmentation asDraw Points Mature at DOZ

    Fragmentation within different HOD's

    0

    20

    40

    60

    80

    100

    0.001 0.01 0.1 1 10

    Volume (m3)

    Summary%cum

    ulativ

    hod 0-50 m_Skarns

    hod 50-100 m_Skarns

    hod 100-150m_Skarns

    hod 150-200 m_Skarns

    hod >200 m_Skarns

    Annavarapu S, Un-Published

    E i l i

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    81/254

    Slide 85

    Equipment selection

    > 2 or 3m3: >2m3(4.6m3LHD bucket- 1400E)

    >3m3(6.4m3LHD bucket-0010)

    Primary Frag >2m3

    =40% Secondary Frag >2m3=15%

    There is a considerable size reduction as material

    draws down

    F t i P l b S df i

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    82/254

    Slide 86

    Fragmentacin, Palabora Sudfrica

    F t ti Aff ti P d ti

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    83/254

    Slide 87

    Fragmentation Affecting Production

    Hang Ups Observations at

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    84/254

    Slide 88

    Hang Ups Observations atPalabora

    Hang Up Freq at Different dpts Maturity

    Hang Up Freq dpt productivity

    S d B k

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    85/254

    Slide 89

    Secondary Breakage

    Bock caves are like red wineolder better

    Coarse rock start at cave

    A few large rocks manyproblems

    Rock removal is an art Hard caves at beginning is

    critical

    Effects production by 30%planned

    25% total project cost blowout

    Skill training seen as criticalfrom start

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    86/254

    Slide 90

    Movie

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    87/254

    Slide 91

    Gravity Flow in Block Caving

    G it Fl M d l

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    88/254

    Slide 92

    Gravity Flow Models

    Just a representation

    We use empirical models when there are nofundamental models to explain the un derlying

    behaviour Scientific method may help to construct robust

    models

    Observation

    Formulation

    Calibration and validation

    YENGE 1980

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    89/254

    Slide 93

    YENGE 1980

    Broken rock flow behaviour can notbe satisfactory explained by theories

    developed to describe the flow ofother materials such as grains andsand

    I t d ti

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    90/254

    Slide 94

    Introduction

    Sand boxexperiments Kvapil1961-1982

    There is a zone of

    movementcharacterized by anellipsoid shape

    The geometry of the

    ellipsoid of movementis a function of theextraction

    Different Theories

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    91/254

    Slide 95

    Different Theories

    How the broken ground is drawn/ flows Draw point spacings to reduce dilution/

    increase recovery

    Still not well understood

    Physical models/ bunkers- Kvapli & Jenike1960s

    Mathematic/ numerical plastic flowPariseau1960s

    Full scale marker testsKvapli , Just &Janelid 1960s

    Physical models Laubscher, Taylor etc -1970-1980s

    Kvapil curves revisited/ Laubscher- Bull &

    Page 1998-2000 ICS 2001-present

    Physical models

    PFC

    Ring marker trials

    Apparent Density and Draw

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    92/254

    Slide 96

    Apparent Density and Draw

    Low density areaBehringer R P, Baxter W, 1994. Pattern

    Formation and Complexity in Granular Flows

    A low density area is formed as a result of drawingdown broken material from a draw point

    Geometrical Parameters to

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    93/254

    Slide 97

    Describe the Zone of Movement

    The ellipsoid of movementdelineates the area that isbroken to the in situ rock

    The ellipsoid of extraction isthe one that represents the

    extracted ore

    The relation between theellipsoid heights is 1:2.5

    The relationship between thevolumes is 1:15

    Draw cone representation (Kvapil 1980)

    Fragmentation and the Geometry

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    94/254

    Slide 98

    g yof the Ellipsoids

    The eccentricity is afunction of thefragmentation

    The coarser thefragmentation thewider the ellipsoid ofmovement

    n

    nn

    a

    ba 5.022 )( Draw cone representation (Kvapil 1980)

    Example

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    95/254

    Slide 99

    Example

    Excentricidad 0.98

    Hn 200

    bn 19.9

    bg 48.7 5.0215.1 ng hb

    20 m

    49 m

    5.02 )1(2

    n

    n

    hb

    200 m

    Isolated Draw Diameter

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    96/254

    Slide 100

    Isolated Draw Diameter

    The volume of materialmoving is a function ofdraw

    Dta: Isolated draw

    diameter (Kvapil, 1962) Fragmentation

    Fragmentation variance

    Friction angle

    Others: water, inducedstresses

    Low Density

    Movement Zone

    g

    Draw

    Dta

    Isolated Draw Diameter (Laubscher,

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    97/254

    Slide 101

    (1994)

    Isolated Draw Diameter from Sand

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    98/254

    Slide 102

    Isolated draw

    diameter (Dta)

    Draw Point Spacing

    (Dpe)

    Box

    Fragmentation and Isolated Draw

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    99/254

    Slide 103

    gDiameter

    Draw cone width and particle size relationship(Richardson, 1981)

    Areas del Elipsoide de Extraccin

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    100/254

    Slide 104

    Areas del Elipsoide de Extraccin

    Plastic failure zone, largedeformations

    Summary

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    101/254

    Slide 105

    Summary

    2 zones- Ellipsoid of extraction

    - Ellipsoid of movement

    Moving rock

    - continues draw zone- zone of plastic failure due to induced shear stress

    Within the ellipsoid

    - Material moves faster at the center of the ellipsoid

    - Fine material produces thin ellipsoids- Coarse broken rock produces wide ellipsoids

    - The ellipsoid geometry depends also on the size of the dischargehole

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    102/254

    Slide 106

    Principles of Draw Theory

    Gravity Flow More than one Draw

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    103/254

    Slide 107

    Point

    Apparent densitygradient

    Source of energy to

    take the system to alower level of disorder

    Particles move toreach a balance

    within the muck pile

    Flores, 2004. Different Stages of Cavepropagation. Massmin 2004

    Apparent Density

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    104/254

    Slide 108

    Apparent Density

    Density adjusted byvoid ratio

    As void ratio

    increases apparentdensity decreases

    POPOV K,2003. J.Serb.Chem.Soc.68(11)903907(2003)

    Apparent Density Gradient

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    105/254

    Slide 109

    Apparent Density Gradient

    A function of Fragmentation and its

    variance within the muckpile

    Draw point spacing

    Draw performance amongneighbored dpts

    Finally the shape of themovement will dependstrongly on the material

    angle of friction Behringer R P, Baxter W, 1994. PatternFormation and Complexity in Granular Flows

    Fragmentation and Flow

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    106/254

    Slide 110

    Fragmentation and Flow

    The variance offragmentation along thedraw column reduces thevoid ratio, increasing the

    apparent density of themix

    Then differentfragmentation curveswould induce differentdensities within the muckpile

    Barker G C, 1994. ComputerSimulation of Granular Materials

    Fragmentation and Flow

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    107/254

    Slide 111

    Fragmentation and Flow

    Binary mix between twosphere size

    X, % of smaller particlesin the mix

    Y, sphere packing volumeused by the mix

    Then the mix of differentfragmentations would

    affect the particlespacking, thus theapparent density Barker G C, 1994. ComputerSimulation of Granular Materials

    Primary and Secondary

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    108/254

    Slide 112

    Fragmentation BCF

    Draw Point Spacing and Flow

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    109/254

    Slide 113

    Draw Point Spacing and Flow

    The gradient ofapparent densitywithin the muck pileincreases as drawpoint are spacedwider apart

    Draw and Flow

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    110/254

    Slide 114

    Draw and Flow

    Draw performance The uniformity at which

    drawing is performed betweena dpt and its neighbors isrelevant to define the zone of

    low density The more even draw is

    performed the higher would bethe changes to erode thepillars between low density

    zones produce by the isolateddraw diameter

    Friction Interfaces

    Friction Interfaces

    Plan view of different Dta of a dpt

    and neighbors

    Tonnagedrawn

    Draw Performance and Flow

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    111/254

    Slide 115

    Draw Performance and Flow

    PFC2D 2.00

    Itasca Consulting Group, Inc. MinneapMinneapolis, Minnesota USA

    ob Title: Idealized

    Step 28000 18:11:01 Wed Jun 9 2004

    View Size:X: -1.749e+002 7.425e+001Y: -6.253e+001 2.132e+002

    Ball

    Contact

    Displacement Maximum = 7.474e+001 Linestyle

    Wall

    PFC2D 2.00

    Itasca Consulting Group, Inc. MinneapMinneapolis, Minnesota USA

    ob Title: Idealized

    iew Title: consolidation stateStep 28000 23:04:48 Wed Jun 9 2004

    View Size: X: -1.803e+002 7.983e+001 Y: -6.253e+001 2.129e+002

    Ball

    Contact

    DisplacementMaximum = 7.242e+001 Linestyle

    Wall

    Even Draw Isolated Draw

    Isolated draw behaviour tends to produce a high density areasurrounding movement zones which induces high hang upsfrequency

    Rubio E et al, 2004. Massmin2004

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    112/254

    Slide 116

    Interactive Draw Theory for

    Block/Panel Caving

    Interactive Draw Theory

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    113/254

    Slide 117

    Interactive Draw Theory

    If draw point spacing is wider than theisolated draw diameter would it beinteraction between draw points?

    Isolated draw

    diameter (Dta)

    Draw Point Spacing

    (Dpe)

    ?

    Interactive Draw Theory

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    114/254

    Slide 118

    Interactive Draw Theory

    It is relevant to understand the concept ofinteraction since it allows to define whether themethod is suitable for hard rock masses

    If draw points can be spaced wider there arecost benefits as well as the possibility of usinglarger equipment

    Larger equipment improves productivity

    Interactive Draw Experiments (HeslopL b h 1982)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    115/254

    Slide 119

    Laubscher, 1982)

    Uneven Draw Exper iments

    Wide spaced (216mm), Dpe/Dta=2.2 draw points,showing no interaction

    Close spaced draw points (108mm), Dpe/Dta=1.1,showing no interaction

    Interactive Draw Experiments(H l L b h 1982)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    116/254

    Slide 120

    (Heslop Laubscher, 1982)

    Even Draw Exper iments

    Wide spaced draw points (158 mm), Dpe/Dta=1.5showing little interaction

    Close spaced draw points (108mm), Dpe/Dta=1.1showing full interaction

    Draw Point Spacing

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    117/254

    Slide 121

    Draw Point Spacing

    1,5 times the isolated draw diameter seems tobe the draw point spacing limit to achieveinteraction, this assumes perfect even draw

    Isolated draw can jeopardize the mine design byintroducing dilution channeling

    If draw is controlled and managed the draw pointspacing can go upto 1.5 accepting a dilution

    entry of 60% and overall dilution of about 20%.

    Height of Interaction Zone

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    118/254

    Slide 122

    Height of Interaction Zone

    For a given densitygradient within themuck pile

    An energy buffer isneeded to equilibratethe system

    Height of interaction

    (HIZ)

    HIZ

    a

    (Duplancic & Brady1999)

    Height of Interaction Zone (HIZ)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    119/254

    Slide 123

    Height of Interaction Zone (HIZ)

    The HIZ is a mainlya function of

    Draw point spacing Fragmentation

    Variability offragmentation withinthe mining block

    Spacing between drawpoints

    HIZ

    HIZ from ffm model

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    120/254

    Slide 124

    HIZ from ffm model

    Dilution ffm rating

    1230 22

    Average = 12

    OreDivided into three

    ffm rating zones

    Rule of thumb

    How to get ffm rating from RMRLFfm rating=RMRL*0.4

    Laubschers RMR 1989

    HIZ Estimation (Courtesy Dennis Laubscher)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    121/254

    Slide 125

    HIZ Estimation (Courtesy Dennis Laubscher)

    ff/m

    Schematic illustration of granular flow paths for(a) an isolated drawpoint, and (b) several drawpoints worked

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    122/254

    Slide 126

    concurrently (Laubscher 2000)

    Schematic illustration of the void diffusion mechanismfor (a) an isolated drawpoint, and (b) several drawpoints

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    123/254

    Slide 127

    operating concurrently (Laubscher 2000)

    Modelo de Laubscher, 1994

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    124/254

    Slide 128

    Modelo de Laubscher, 1994

    Another version of HIZ chart in which the RMR is the main geotech parameter. It has been foundthat the ff/m rating chart fits better the observations made in Chile

    Draw Control Factor (dcf)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    125/254

    Slide 129

    a Co o ac o (dc ) Dcf is a measure of

    differential draw between a

    drawpoint and its

    neighbors

    It should be computed in amonthly or weekly bases

    Dilution will be postpone

    by performing as high DCFdcf

    Coeficient of varitation of tonnage

    between a draw point and its neighbours

    1.0

    0.3

    1.0 3.0 5.0 7.0 11.09.0

    0.75

    0.5

    Buen control Mal control

    Drawpoint

    Neighbours

    Percentage of Dilution Entry

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    126/254

    Slide 130

    g y

    PDE is the percentage of orecolumn draw at which dilution

    is seen at the dpt.

    HIZ is an indicator of the

    amount of mixing within the

    draw column. Therefore

    affects the PDE

    PDE is highly influenced bydifferential draw

    HIZ

    Waste

    Hc

    Estimation of Percentage ofDil ti E t (PDE)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    127/254

    Slide 131

    Dilution Entry (PDE)

    The percentage ofdilution entry iscomputed as follows

    Where Hc is the height of the

    draw column

    HIZ is the height ofinteraction zone

    dcf is the draw controlfactor

    S is the swell factor

    c

    c

    H

    dcfsHIZH

    PDE *

    Mixing with Volumetric Algorithm, (Heslop andLaubscher 1982)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    128/254

    Slide 132

    Laubscher 1982)

    Se define el % deentrada de la dilucin(PDE)

    El PDE es el % de

    extraccin de columna insitu al cual se observamaterial diluyente

    c

    c

    H

    sdcfHIZHPDE

    )*(

    PDE Diluyente

    Mineral

    Hc

    Hc

    Mineral

    Diluyente

    PDE

    cH

    HIZ

    dcf

    s

    Porcentaje de entrada de la dilucin

    Altura de columna

    Altura de interaccin

    Factor de control de tiraje

    Factor de esponjamiento

    Volumetric Algorithm

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    129/254

    Slide 133

    g

    Depending on COGthe column heightmined could beshorter or larger than

    the Hc

    The mixing simulatesthe grade of the draw

    point affected by thegravity flow process

    PDE Diluyente

    Mineral

    Hc

    Examples Volumetric Algorithm

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    130/254

    Slide 134

    g

    -

    0.20

    0.40

    0.60

    0.80

    1.00

    1.20

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    110

    120

    130

    140

    150

    160

    170

    180

    190

    200

    Altura Columna (m)

    %Cu

    In Situ

    Mezclada

    PDE=45%

    -

    0.20

    0.40

    0.60

    0.80

    1.00

    1.20

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    110

    120

    130

    140

    150

    160

    170

    180

    190

    200

    Altura Columna (m)

    %Cu

    In Situ

    Mezclada

    PDE=80%

    Denis Laubscher s Model Using

    Multiple Iterations

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    131/254

    Slide 135

    Multiple Iterations

    1 0

    98

    7 3 + 2 *# Ite = 5

    6 # Ite = 1

    5

    4 3 2 3 4 5

    3

    2

    1

    1

    2

    3

    4

    5

    6

    7

    8

    9

    1 0

    1 0

    98

    7

    6

    5 3 + 2 *# Ite = 10

    4 # Ite = 4

    3 3 2 3 4 5 6 7 8 9 1 0

    2

    1

    1

    2

    3

    4

    5

    6

    7

    8

    9

    1 0

    10

    9

    8

    7

    6

    5

    4

    3

    2

    1Ba

    BiBa+2#Ite=Bi

    Traditional Laubscher

    Algorithm

    PDE PDE

    Volumetric Algorithm with MultipleIterations

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    132/254

    Slide 136

    Iterations

    -

    0.10

    0.20

    0.30

    0.40

    0.50

    0.60

    0.70

    0.80

    0.90

    1.00

    1.10

    010

    20

    30

    40

    50

    60

    70

    80

    90

    100

    110

    120

    130

    140

    150

    160

    170

    180

    190

    200

    Altura de Columna (m)

    %C

    u

    Laubs 1 Laubs 2 In Situ %Cu Laubs 3

    PDE=65%

    Issues with the VolumetricAlgorithm

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    133/254

    Slide 137

    Algorithm

    It does not explicitly integrates the drawcolumn fragmentation and its evolution asdraw point matures

    It does not allow to modify HIZ along thedraw column

    It works for 1 iteration for multi iterations

    results have not been calibrated

    PC-BC Mixing Model (Diering, 2000)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    134/254

    Slide 138

    Mixing Horizon

    It is based on mixing fractions When a block is depleted

    mixing progresses up to theMH

    The model repeats the processsimulating the depletion of theentire column

    )*( sdcfHIZUCLMH

    UCL Undercut level elevation

    HIZ

    dcf

    s

    Heoght of interaction

    Draw control factor

    Swell factor

    Hc

    MH

    0.1

    0.2

    Mixing in PC-BC (Premix)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    135/254

    Slide 139

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    200

    180

    160

    140

    120

    10080604020

    Altura de Columna (m)

    %Cu

    InSitu

    Mezclada100

    50

    0.2

    0.3

    Grade profile changes

    considerable betweenthe scenarios withand without mixing

    PC-BC Multiple Iterations

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    136/254

    Slide 140

    p

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    2019181716151413121110987654321

    Banco

    Ley(0.2-0.1)

    1ite 2ite 3ite 4ite 5ite InSitu

    Hc

    MH

    #Ite

    #Ite

    PC-BC Calibration and LaubscherPDE

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    137/254

    Slide 141

    PDE

    0

    0 .2

    0 .4

    0 .6

    0 .8

    1

    1 .2

    1 .4

    1 .6

    0 5 1 0 1 5 2 0 2 5

    # Ite

    HIZ/OreColumn-Height

    P DE 5% -12 %

    P DE 64 % -73 %

    P DE 48 % -62 %

    P DE 28 % -40 %

    P DE 16 % -27 %

    P DE 73 % -85%

    PC-BC and Fragmentation

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    138/254

    Slide 142

    Mixing fractions as afunction of theamount of fines withinthe draw column

    Vertical flow is fasterfor fine material thancoarse

    Coarse Fines

    0.1

    0.1 0.2

    0

    Examples Different Fragmentations

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    139/254

    Slide 143

    0.3

    0.3

    Coarse Fines

    0.03

    0.07 0.06

    0

    0.5

    0.5

    Coarse Fines

    0.05

    0.05 0.1

    0

    Coarse contribution 0.07Fines contribution 0.09

    30% Fines 50% Fines

    Coarse contribution 0.05Fines contribution 0.15

    PC-BC Sequential Mixing

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    140/254

    Slide 144

    Mixing is performedas material is drawnfrom the dtps

    The shared

    component of thedraw column movesdown as function ofthe draw performance

    Further calibration isneeded

    Hc

    MH

    #Ite

    Seqeuntial Mixing for Different MHs

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    141/254

    Slide 145

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    200

    180

    160

    140

    120

    10080604020

    Altura de Columna (m)

    %Cu

    InSitu

    Mezclada

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    200

    180

    160

    140

    120

    10080604020

    Altura de Columna (m)

    %Cu

    InSitu

    Mezclada

    Mixing fractions for coarse and fines 0.3 y 0.2

    MH=50 MH=100

    Issues with PC-BC

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    142/254

    Slide 146

    Fixed mixing fractions HIZ constant along draw column

    Mixes the whole column on premix mode

    Celular Automaton MixingAlgorithm

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    143/254

    Slide 147

    Algorithm

    It mixes for a givendepletion treshold dt If dt>

    1. The depletion volume isreplaced with theneighbored dpts in the

    proportion shown in amixing fraction matrix2. If the neighbors are

    depleted dt then themethod is recursive onthis block

    It is extremely efficientto simulate differentmatrixes mixing fraction

    0.1

    0.05 0.15 0.05

    0.2 0.3 0.15

    Celular Automaton Mixing Models

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    144/254

    Slide 148

    Very easy to use They require a PFC model first to compute the

    mixing fractions for different geotech domains

    Fine diffusion models can be fast simulatedusing the celular models

    Volumetric algorithm is the first celularautomaton model

    Henderson mine showed an interestingapplication of matrix mixing fractions in 2004

    Summary

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    145/254

    Slide 149

    Flow

    Rock MassGeotech

    MineDesign

    Drawperformance

    Conceptual Model of Flow, CIM, UofChile.

    Uniformity Index and Flow (CIM,Susaeta 2004)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    146/254

    Slide 150

    Susaeta 2004)

    There is a free flowbehaviour above thedrawpoint and interactiveflow above the major apexpillar

    Both zones of movements(isolated zone and interactivezone) are characterized bytheir vertical flow rates vaand vi

    Degree of interaction Gi =vi/va degree of interaction

    HIZ

    Production drift

    Va Vi

    a

    ii

    v

    vG

    Model Components (T A-I) (Susaeta 2004)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    147/254

    Slide 151

    Interactiv

    e zone

    Isolated Zone

    Interaction betweendrawing zones.

    Plastic shear failure

    Dpe draw pointspacing

    Height ofInteraction zone

    Isolated

    drawdiameter

    Isolated drawvelocity

    Interactive flowvelocity vi

    Flow Model for El Teniente Layout

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    148/254

    Slide 152

    (Vta)

    (Vti)

    Uniformity Index

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    149/254

    Slide 153

    An indicator to quantify the uniformity ofdraw for a given draw point and itsneighbors

    Definition

    Susaeta 2004

    Flow Behaviour

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    150/254

    Slide 154

    For a degree ofinteraction greater than0 there is interactionabove the major apex

    pilar

    Flow propertieschanges as draw isperformed

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    151/254

    Slide 155

    a) Flujo Interactivo (Vti=Vta) b)Flujo Aislado Interactivo (Vti

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    152/254

    Slide 156

    Uniformity Index

    What matters is the % of thetime that a draw point hasbeen drawn isolated to affectits degree of interaction

    The more time a dpt is drawnisolated the higher thechances to have the draw pointwith no interaction with theneighbors

    Model Calibration

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    153/254

    Slide 157

    Initial calibration showagreement betweenUniformity Index and %dilution entry at ElSalvador mine

    A large applied researchproject is undergoing atthe University of Chile totest the hypothesis withall CodelcoUnderground Mines

    We shall have resultsearly 2007

    Dilution Model

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    154/254

    Slide 158

    % Extraccin (%)

    % Dilucin (%)

    Lateral

    Dilution

    Vi=0

    Vi>0

    Vi=Va

    Dilution from theisolated zone (Pedza)

    Dilution from the

    Interactive Zone

    (Pedzi)

    Dilucin INC-N0503E (Oficial)

    Dilution Observations at El Salvador Mine

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    155/254

    Slide 159

    ( )

    -10

    0

    10

    20

    30

    40

    50

    60

    70

    80

    0 20 40 60 80 100 120

    % de Extraccin

    %D

    ilucin

    Dilucin INC-N0504E (Oficial)

    -10

    0

    10

    20

    30

    40

    50

    60

    70

    80

    0 20 40 60 80 100

    % de Extraccin

    %D

    ilucin

    The observations fit the model. Thewhole process of computing andcapturing dilution observations isunderway. Lots to refine in themethodology. So far good

    Grfico % Extraccin v/s % Riolita(medio) Sector Parrillas Andina

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    156/254

    Slide 160

    Presencia de Riolita vs Porcentaje de Extraccin en reas 1 y 2 Parrillas

    0.0%

    2.0%4.0%6.0%8.0%

    10.0%12.0%14.0%16.0%

    18.0%20.0%22.0%24.0%26.0%28.0%

    25.0% 35.0% 45.0% 55.0% 65.0% 75.0% 85.0% 95.0% 105.0

    %

    115.0

    %

    125.0

    %

    135.0

    %

    % Extraccin

    %R

    iolita

    PEDZAPEDZI

    Under review many data problems

    Flow Considerations

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    157/254

    Slide 161

    None of the mixing models take intoaccount the cave propagation process

    Particles re distribution

    Differential of apparent density Draw influences fragmentation and

    fragmentation draw

    Mine design and flow characteristics arenot independent

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    158/254

    Slide 162

    Stresses

    Mining Method

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    159/254

    Slide 163

    Geotechnical properties of rock mass lead intoanalyzing SLC or BC (manual, mechanized)

    Stresses behaviour defines the undercutting

    design, > 46Mpa will be pre undercutting caving Undercut design will affect fragmentation and

    cavability of rock mass

    Mining Method Major Stresses

    Panel caving 45 Mpa

    Induced Stress by Caving

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    160/254

    Slide 164

    The horizontal cut reduces confinement and induces rotation of thestress tensor increasing the shear stress up to 2.5 times the pre miningcondition

    Panek, 1981

    Plan section through the three dimensional modelused to calculate ground reaction curves (Lorig 2000)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    161/254

    Slide 165

    Production Area

    Ground reaction curves calculatedfor drift 2 (Lorig 2000)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    162/254

    Slide 166

    Schematic diagram showing regions of rockbehaviour defined on the basis of the calculated ground

    reaction curves (after Lorig 2000)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    163/254

    Slide 167

    ( g )

    Production Areas

    Caving Mining System

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    164/254

    Slide 168

    Caving

    Undercut Drilling

    Undercut Level

    Production Level

    Haulage Level

    Ventilation Level

    2ndHaulage

    Crusher

    Tipping point

    Draw Point

    Secondary Breakage

    Ore Passes

    Feeder

    Grizzly

    Conveyor

    Undercutting Design

    Aims

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    165/254

    Slide 169

    Aims

    Undercut Strategies Management

    Configuration

    Control

    Draw

    Control

    Pre Post Advanced

    Extraction method

    Fan Flat Inclined Lags/Leads Blast

    Draw

    Undercut Mining Sequences

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    166/254

    Slide 170

    Barraza and Crorkan, 2000

    Different Methods toavoid abutment stresszones

    Difficult to implement lots of mine

    development needs to be done in ashort period of time to avoidcompaction. UCL implemented asproduction level

    Undercutting strategies

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    167/254

    Slide 171

    Pre undercutting Reduced stresses, production delays, compaction

    remnants

    Post undercutting

    Faster production, stress induced damage

    > 60% extraction ratio - severe draw horizon damage,500m operation limit

    Advanced undercutting

    Limited draw horizon damage

    < 60% critical draw horizon extraction limit

    U d t St

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    168/254

    Slide 172

    Undercut

    extent

    Stress

    condition Remarks25% of HR Low Limited damage

    50% of HRBecoming a

    concernOnset of critical

    damage

    75-110% of HR Maximum Severe damage

    Super caves (MRMR > 45): Stress level

    becomes a concern fo r extract ion > 75% ofHR

    Pre Undercuting

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    169/254

    Slide 173

    Undercut developed before drawhorizon

    Advantage

    Reduced stress damage

    POST UNDERCUTTING(conventional)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    170/254

    Slide 174

    Draw horizon full developed then undercut Advantage

    Block brought into production quicker

    Disadvantages Draw horizon stress induced damages, drift

    repair, production delays

    POST UNDERCUTTING(conventional)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    171/254

    Slide 175

    Draw horizon damage relates to stressmagnitude and draw horizon extraction

    Stress magnitude 2-3 times higher than the pre-undercut levels

    Severe damage occurs at 60% draw horizonextraction

    Collapse occurs at 80% draw horizon extraction

    Limiting operational depth 500m

    ADVANCE UNDERCUTTING

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    172/254

    Slide 176

    Limited amount of development on draw horizonbefore undercutting

    Drifts before undercut, crosscuts and drawbellsafter undercut

    Keep draw horizon extraction < 60 % (Butcher1999)

    ADVANCE UNDERCUTTING

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    173/254

    Slide 177

    Advantages draw horizon damage is reduced

    the cave is brought into production quickerthan with a pre-undercutting strategy

    a separate level is still required forundercutting

    this strategy is slower than post undercutting

    Disadvantages

    Some draw horizon Slower than post undercutting

    Angle of Draw

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    174/254

    Slide 178

    Undercut Level

    Undercut Sequence

    Vertical Cross Section

    Angle of Draw

    HOD Profile

    Rubio, 2005

    Induced Shear Stress as a functionof the Angle of Draw

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    175/254

    Slide 179

    -100 -80 -60 -40 -20 0

    0.6

    0.8

    1.0

    1.2

    1.4

    1.6

    1.8

    2.080

    0

    700

    600

    500

    400

    NormalizedD

    eviatoricStress

    Distance from the cave front (m)

    Angle of Draw

    Rubio, et al 2004

    Extraction level support and reinforcement by bolts,shotcrete, mesh and straps, Koffiefontein Mine, South

    Africa

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    176/254

    Slide 180Flores et al(2004a)

    Pillar and drawpoint support,El Teniente 4 South, Chile (Flores 1993)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    177/254

    Slide 181

    Failure of yielding arch support at a drawpoint,El Salvador Mine

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    178/254

    Slide 182 Photo: M. L. Van Sint Jan

    Extraction level support and reinforcementdesign cases

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    179/254

    Slide 183

    Blocks falling or sliding; unravelling

    General plastic yield

    Localised brittle slabbing or spalling

    Instability controlled by major structures

    Dynamic failures induced by rockbursts

    Combined modes of failure

    Collapse of an extraction level drift at Ten 4 Sur,El Teniente Mine, 1989

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    180/254

    Slide 184

    CONCRETEDAMAGE

    CONCRETEDAMAGE

    1.5 m

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    181/254

    Slide 185

    Models of rock mass response at the Brunswick Mine(Diederichs et al2002)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    182/254

    Slide 186

    Isometric view of key block truncated by the undercut,production level, Panel II, Rio Blanco Mine, Chile, 1989

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    183/254

    Slide 187

    5

    24

    3

    1

    Three dimensional view of keyblock before truncation by the

    undercut, production level, panelII

    Construction of the SeismicEnvelop

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    184/254

    Slide 188

    Monitor the principalstresses located at theseismic events in awindow of 1 month aheadof mining activity

    August 04, Jan 05 andMay 05

    Looking at rock types,stress tensor and seismic

    moment

    ),( 31

    Seismic Envelop

    Aug04, Jan05 and May0560.0

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    185/254

    Slide 189

    Expected SeismicActivity

    1= 1.6 3+ 8

    R2

    = 0.89

    -

    10.0

    20.0

    30.0

    40.0

    50.0

    - 5 10 15 20 25

    3 (MPa)

    1(MPa)

    Induced Seismicity

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    186/254

    Slide 190

    As mining propagatesto surface seismicevents are induced asa response of therock mass to highstresses

    Seismic events canhelp to indicate wherethe cave back islocated at any giventime

    PMC Seismic Database

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    187/254

    Slide 191

    Rockbursts

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    188/254

    Slide 192

    A rockburstis the uncontrolled disruption of rockassociated with a violent release of energyadditional to that derived from falling rock

    fragments (Cook et al1964)

    A rockburstis a seismic event which causesviolent and significant damage to tunnels and

    other excavations in the mine (Ortlepp 1997)

    Seismic events

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    189/254

    Slide 193

    Seismic eventsarise from conditions of unstableequilibrium and involve the release of storedstrain energy and the propagation of elastic

    waves through the rock mass

    Brady & Brown (2004)

    Necessary conditions for rockbursting

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    190/254

    Slide 194

    The induced stresses must be high enough toinduce slip on a pre-existing discontinuity (e.g. afault) or fracture of the rock

    The resulting slip or fracture must bemechanically unstable, releasing energy thatcannot be absorbed in the processes of slip or

    fracture themselves

    Unstable slip on a fault

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    191/254

    Slide 195

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    192/254

    Slide 196

    Mine Design

    Block and Panel caving

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    193/254

    Slide 197

    Block cavingThe whole footprint is undercut.Usually the ore body footprint is divided intosmall blocks of 80x80 m. It reports high lateraldilution

    Panel cavingBlocks are undercut in acontinuous manner forming an angle ofinterface between broken ore and dilution. Thismethod was invented to minimize the amount of

    lateral dilution

    Block Caving Miami

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    194/254

    Slide 198

    Panel Caving

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    195/254

    Slide 199

    Henderson, DeWolf 1981

    Panel Cave (De Wolf, 1982)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    196/254

    Slide 200

    Draw Point Spacing

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    197/254

    Slide 201

    Geotechnical Information

    RMR 0-20 20-40 40-60 60-80ff/m 50-7 20-1.5 5-0.4 1.5-0.2

    Rock size range (m) 0.01-0.3 0.1-2 0.4-5 1.5-9

    Loading width/Isolated draw diameter (m)5m 11.5 13

    4m 9 11 12.5

    3m 6.5 8.5 10.5 12

    2m 6 8 10

    Grizzly Method LHD Mechanized Method

    Pilar Mayor

    Draw layouts 1.5 IF

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    198/254

    Slide 202

    Draw Point Spacing Across the MajorApex Pillar for Different Fragmentations

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    199/254

    Slide 203

    Mine

    Ertsberg

    El Teniente

    Grace

    Henderson

    Creighton

    ClimaxUrad

    Thetford

    Mather

    San Manuel

    Median Fragment Size (m)

    0.7

    0.7

    0.8

    0.5

    0.5

    0.90.6

    0.5

    0.2

    0.4

    Draw point spacing (m2)

    236

    224

    165

    148

    110

    10680

    58

    32

    24

    Types of block cave

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    200/254

    Slide 204

    Grizzly Slusher

    LHD/panel

    Front cave Inclined draw point

    Production Systems

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    201/254

    Slide 205

    Grizzly/ manual

    LHD

    Fine material complete gravity flow modelHighly productive 0.75 t/m2/da, loweroperations cost 2.5 $/t high capital cost1500 $/m2

    Coarse rock, equipment can handledifferent volumesProductivity 0.55 t/m2/da, Operation cost3.5 $/t Capital cost 700$/m2

    Grizzly (Pillar 1981)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    202/254

    Slide 206

    SLUSHER (HARTLEY 1981)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    203/254

    Slide 207

    SLUSHER (Hartley 1981)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    204/254

    Slide 208

    Block caving -LHD

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    205/254

    Slide 209

    Front cave

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    206/254

    Slide 210

    Inclined draw point

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    207/254

    Slide 211

    Inclined drawpoint

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    208/254

    Slide 212

    LHD Flat Undercut System

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    209/254

    Slide 213

    Multi Lift Northparkes (BlockCaving)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    210/254

    Slide 214

    Crinkle Cut for Advanceundercuting

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    211/254

    Slide 215

    Fan Ring Undercuting at ElTeniente

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    212/254

    Slide 216

    LHD Layouts (Diering y Laubscher1992)

    Herringbone y offset are

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    213/254

    Slide 217

    Herringbone y offset are

    suitable for mechanicequipment, electric equipment

    Henderson method has beenfound to be the best forelectric equipment

    Offset is the best design toachieve interaction across themajor apex pilar

    El Teniente method is the bestfrom the stability point of view

    Herringbone layout

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    214/254

    Slide 218

    Offset herringbone layout

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    215/254

    Slide 219

    Henderson layout

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    216/254

    Slide 220

    El Teniente Layout (Chacon et al,2004)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    217/254

    Slide 221

    (a) (b)

    Isolated Draw Diameter forDifferent Mine layouts

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    218/254

    Slide 222

    Interactive Draw (Laubscher

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    219/254

    Slide 223

    1994)

    Palabora Mine, South Africa (Calder etal2000)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    220/254

    Slide 224

    Lift 2, Northparkes E26 Mine, Australia

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    221/254

    Slide 225

    Drawpoint support, Koffiefontein Mine,South Africa

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    222/254

    Slide 226

    Drawpoint support, Henderson Mine

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    223/254

    Slide 227

    LHD Method at Tte 4 South Ovalleand Chacon

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    224/254

    Slide 228

    LHD Layout Tte 4 Sur

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    225/254

    Slide 229

    Undercut Fan Drill Pattern

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    226/254

    Slide 230

    Drawpoint support, Koffiefontein Mine,South Africa

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    227/254

    Slide 231

    Drawpoint support, Henderson Mine

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    228/254

    Slide 232

    Esmeralda Teniente

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    229/254

    Slide 233

    Padcal, Filipinas

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    230/254

    Slide 234

    DOZ, Freeport Indonesia

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    231/254

    Slide 235

    IOZ, Freeport Indonesia

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    232/254

    Slide 236

    Extraction methods

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    233/254

    Slide 237

    Block cave fan undercut without separate level

    Extraction methods

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    234/254

    Slide 238

    Conceptual Plan of flat undercut showing possible problem areas

    Extraction methods

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    235/254

    Slide 239

    Inclined undercut potential problem areas

    Undercut managementRate of advances

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    236/254

    Slide 241

    Advance as rapidly as possible to HRwithout incurring problems

    Reduce rate of advance from HR

    Cave tons > undercut tons - preventarch induced abutment crushing

    Rate of advance 2300m2/month

    Experience 5 recent caves

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    237/254

    Slide 244

    Drifts 4.2m X 4.2m Drift spacing 28- 34m (30m)

    Draw point spacing 14- 18m (16m)

    Offset-herringbone- reduced spans

    Distance to UC 15m

    MASSMIN 2000

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    238/254

    Slide 245

    Caving Subsidence

    Subsidence process

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    239/254

    Slide 246

    1. Propagate the cave to surface

    2. Centre subsidence

    3. break back

    Macro /angle of break/cave definition

    Angle of cave is a Function of

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    240/254

    Slide 247

    - Rock mass strength

    - Muck pile support (H)

    - Depth of ore\body

    - Major structures

    - Rock mass\shear strength

    Angle of break= angle of cave +perimeter fracture zone (Tc)

    Stage 3 progression

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    241/254

    Slide 248

    Subsidence Angle Estimation(Laubscher Approach)

    RMR 80

    MRMR 72

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    242/254

    Slide 249

    Min SpanHeight of cave material 400

    Depth 700

    Min Span 200

    Max span 800

    factor Min_span 14

    factor Max_span 3.5

    Angle Min_span 85

    Angle Max_span 80

    RMR 50

    MRMR 45

    Min Span

    Height of cave material 400

    Depth 700

    Min Span 200

    Max span 800factor Min_span 14

    factor Max_span 3.5

    Angle Min_span 75

    Angle Max_span 65

    Macro Subsidence definition(Karzulovic 1999)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    243/254

    Slide 250

    Important definitions

    Alpha = angle of break to surface fracture zone

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    244/254

    Slide 251

    Beta = angle of cave to the edge of glory hole

    Tc =Fracture zone around the glory hole

    Ti =underground fracture zone

    H = muck pile height As = final width of glory hole

    Subsidence Angle Estimation(Andina Approach)

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    245/254

    Slide 252

    Karzulovic -1997

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    246/254

    Slide 253

    Types of discontinuous subsidence(Flores & Karzulovic 2004a)

    Bl k i P i h i ll H i ll t li

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    247/254

    Slide 254

    Block caving Progressive hangingwallcaving Hangingwall toppling

    Ore

    Caved

    ore

    Toppl ing

    CraterPerimeter

    Cavedrock

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    248/254

    Slide 255

    Subsidence resultingfrom Grasberg IOZpanel caving operation,Indonesia

    Subsidence generated by Salvadors block andpanel caving operations, Chile

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    249/254

    Slide 256

    Craterperimeter

    Cavedrock

    Subsidence generated by El Tenientes block andpanel caving operations, Chile

    Quebrada

    T i t

    N Craterperimeter

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    250/254

    Slide 257

    BradenPipe

    Teniente

    Teniente 4Fortuna

    Teniente 4Regimiento

    Teniente 5Pilares

    Teniente3 Isla

    TenienteSub 6

    Teniente4 Sur

    Caved

    rock

    Design chart for the angle

    f b k b d li it

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    251/254

    Slide 258

    of break based on limitequilibrium analyses(HT = 600 -1700 m)

    (Flores & Karzulovic 2004a)

    Design chart for extent of

    f i fl b d

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    252/254

    Slide 259

    zone of influence based onnumerical analysis(HT = 600 -1700 m)

    (Flores & Karzulovic 2004a)

    Practical example using

    d i h t t ti t

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    253/254

    Slide 260

    design chart to estimateangle of break(HT = 1200 m)

    (Flores & Karzulovic 2004a)

    Practical example using

    d i h t t ti t

  • 8/21/2019 RUBIO UBC-Fundamentals and Design

    254/254

    design chart to estimateextent of zone of influence

    (HT = 1200 m)

    (Flores & Karzulovic 2004a)