rubio ubc-fundamentals and design
TRANSCRIPT
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Slide 1
Design and Planning of
Block Caving OperationsEnrique Rubio, PhD
July 2006
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Slide 2
Outline
Introduction
Geotechnical Characterization
Block Cave Fundamentals
Caveability
Fragmentation
Stresses
Flow
Mine Design
Mine Planning
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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
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Slide 4
Introduction
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Slide 5
Mining Methods
Open ( usually partially extracted)
Supported
Caving
Surface mining
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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
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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)
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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)
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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)
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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
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Panel Caving, De Wolf 1981
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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
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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
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Characteristics
Production rates 12000 a 48000 tpd
Dilution 20%
Mining Recovery 75% Cost 2.1-5$/t
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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
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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
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Slide 17
Chuquicamata, Chile
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Slide 18
Bingham Canyon, US
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Slide 19
Highland Valley
Copper,Canada
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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
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Slide 21
Costing
September 2004 CIM Bulletin S.FUENTES S. and J. CCERES S.
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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
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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)
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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 $/t automatic trains
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Slide 25
Component of Operating Costs
Labor 49%
Supplies 23%
Third parties services 26% Others 2%
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Slide 26
Management Costs
Maintenance
Suppliers
Service equipment Services to people
Administration
The overall management cost adds up50% of the operating costs
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Slide 27
Development Costs ($/m2)
Layout Hc CC $/m2
Tte 8 350 1.324324 1251
Pilar 2021 280 0.935897 708
Andesita 300 0.677419 549Dacita 250.00 0.289855 196
Pipa 17x20 200.00 1.904762 1029
Diablo 17x15 300.00 1.354167 1097
Andina_LHD 13x13.5 350.00 0.878613 830
Andina_grizzly 8.5x8.5 280 1.205128 911
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Slide 28
Development Costs Trend
y = 1.2791x - 21.026
R2= 0.8796
0
100
200
300
400
500
600
0 50 100 150 200 250 300 350 400
Reserves (Mt)
CapitalCo
st(M$)
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Slide 29
Rock Mass Characterization
for Block Caving
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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
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Slide 31
Parameters to be Considered
Intact properties
Rock mass
Structures
Hydrogeology
Stresses
Induced stresses by blasting
Topography
Geological models
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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
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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
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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
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Slide 39
IRMR Laubscher Lakubec (2000)
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Slide 40
GSI, Hoek 1995
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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 ?
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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
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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
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Slide 44
Fundamentals
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Slide 45
Method Fundamentals
Caveability
Fragmentation
Flow Stresses
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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
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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
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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
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Slide 49
Idealized Caving Model (after Voegele et al1978)
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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
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Slide 51
Caveability Chart (Laubscher 1988 andBartlett 1998)
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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
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Slide 53
Applying Stability Chart to Estimate Caveability(Mawdesley et al2001)
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Slide 54
Caveability Using Numerical Models
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Slide 55
Cave Rock Volume for Different states ofthe Hydraulic Radius (ICS, 2000)
Cave rate changes ascaving propagates tosurface
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Slide 56
Measuring Cave Propagation Using TDRsat DOZ (T. Szwedzicki, 2004)
C
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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)
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Slide 58
Caving propagation factor (CPF)(Flores, 2003)
Stress over strength
(Flores et al2004b)
Estimating Major Stresses using
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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
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Slide 60
CPF for a given rock mass
CPF f Diff t R k M
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Slide 61
CPF for Different Rock Masses
Back analysis of Inca Oeste Caveability
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Slide 62
Back analysis of Inca Oeste Caveabilityusing CPF (Flores et al2004b)
Block Height and Footprint width for Caving
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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)
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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
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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
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Slide 66
Fragmentation
The Relevance of Fragmentation in
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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
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Slide 68
The Relevance of Fragmentation inBlock Caving
Defines the draw point spacing to achieveinteraction
Mixing and dilution entry
F t ti
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Slide 69
Fragmentation
Primary fragmentation
Secondary
fragmentation/
material flow and
friction
Primary fragmentation
Fragmentation at Premier SouthAfrica
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Slide 70
g(after Butcher 2002a)
Block Volume Estimation to Asses
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Slide 71
Block Volume Estimation to AssesFragmentation (Cai et al2004)
Block Volume
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Slide 72
Fragmentation at Esmeralda , El Teniente
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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
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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
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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
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Slide 76
Fragmentation (Laubscher, 1994)
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Slide 77
BCF Fragmentation Software
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Slide 78
Fragmentation (BCF)
F t ti f Diff t St I d
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Slide 79
Fragmentation for Different Stress Index(Eadie 2003)
In si tu
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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)
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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)
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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
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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
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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
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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
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Slide 86
Fragmentacin, Palabora Sudfrica
F t ti Aff ti P d ti
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Slide 87
Fragmentation Affecting Production
Hang Ups Observations at
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Slide 88
Hang Ups Observations atPalabora
Hang Up Freq at Different dpts Maturity
Hang Up Freq dpt productivity
S d B k
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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
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Slide 90
Movie
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Slide 91
Gravity Flow in Block Caving
G it Fl M d l
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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
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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
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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
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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
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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
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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
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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
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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
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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,
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Slide 101
(1994)
Isolated Draw Diameter from Sand
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Slide 102
Isolated draw
diameter (Dta)
Draw Point Spacing
(Dpe)
Box
Fragmentation and Isolated Draw
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Slide 103
gDiameter
Draw cone width and particle size relationship(Richardson, 1981)
Areas del Elipsoide de Extraccin
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Slide 104
Areas del Elipsoide de Extraccin
Plastic failure zone, largedeformations
Summary
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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
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Slide 106
Principles of Draw Theory
Gravity Flow More than one Draw
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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
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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
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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
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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
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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
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Slide 112
Fragmentation BCF
Draw Point Spacing and Flow
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Slide 113
Draw Point Spacing and Flow
The gradient ofapparent densitywithin the muck pileincreases as drawpoint are spacedwider apart
Draw and Flow
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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
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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
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Slide 116
Interactive Draw Theory for
Block/Panel Caving
Interactive Draw Theory
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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
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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)
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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)
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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
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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
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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)
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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
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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)
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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
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Slide 126
concurrently (Laubscher 2000)
Schematic illustration of the void diffusion mechanismfor (a) an isolated drawpoint, and (b) several drawpoints
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Slide 127
operating concurrently (Laubscher 2000)
Modelo de Laubscher, 1994
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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)
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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
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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)
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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)
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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
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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
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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
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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
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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
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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)
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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)
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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
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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
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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
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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
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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
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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
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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
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Slide 146
Fixed mixing fractions HIZ constant along draw column
Mixes the whole column on premix mode
Celular Automaton MixingAlgorithm
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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
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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
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Slide 149
Flow
Rock MassGeotech
MineDesign
Drawperformance
Conceptual Model of Flow, CIM, UofChile.
Uniformity Index and Flow (CIM,Susaeta 2004)
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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)
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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
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Slide 152
(Vta)
(Vti)
Uniformity Index
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Slide 153
An indicator to quantify the uniformity ofdraw for a given draw point and itsneighbors
Definition
Susaeta 2004
Flow Behaviour
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Slide 154
For a degree ofinteraction greater than0 there is interactionabove the major apex
pilar
Flow propertieschanges as draw isperformed
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Slide 155
a) Flujo Interactivo (Vti=Vta) b)Flujo Aislado Interactivo (Vti
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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
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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
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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
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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
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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
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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
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Slide 162
Stresses
Mining Method
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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
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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)
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Slide 165
Production Area
Ground reaction curves calculatedfor drift 2 (Lorig 2000)
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Slide 166
Schematic diagram showing regions of rockbehaviour defined on the basis of the calculated ground
reaction curves (after Lorig 2000)
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Slide 167
( g )
Production Areas
Caving Mining System
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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
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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
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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
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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
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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
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Slide 173
Undercut developed before drawhorizon
Advantage
Reduced stress damage
POST UNDERCUTTING(conventional)
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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)
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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
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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
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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
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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
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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
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Slide 180Flores et al(2004a)
Pillar and drawpoint support,El Teniente 4 South, Chile (Flores 1993)
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Slide 181
Failure of yielding arch support at a drawpoint,El Salvador Mine
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Slide 182 Photo: M. L. Van Sint Jan
Extraction level support and reinforcementdesign cases
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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
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Slide 184
CONCRETEDAMAGE
CONCRETEDAMAGE
1.5 m
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Slide 185
Models of rock mass response at the Brunswick Mine(Diederichs et al2002)
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Slide 186
Isometric view of key block truncated by the undercut,production level, Panel II, Rio Blanco Mine, Chile, 1989
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Slide 187
5
24
3
1
Three dimensional view of keyblock before truncation by the
undercut, production level, panelII
Construction of the SeismicEnvelop
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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
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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
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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
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Slide 191
Rockbursts
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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
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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
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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
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Slide 195
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Slide 196
Mine Design
Block and Panel caving
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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
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Slide 198
Panel Caving
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Slide 199
Henderson, DeWolf 1981
Panel Cave (De Wolf, 1982)
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Slide 200
Draw Point Spacing
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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
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Slide 202
Draw Point Spacing Across the MajorApex Pillar for Different Fragmentations
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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
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Slide 204
Grizzly Slusher
LHD/panel
Front cave Inclined draw point
Production Systems
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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)
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Slide 206
SLUSHER (HARTLEY 1981)
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Slide 207
SLUSHER (Hartley 1981)
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Slide 208
Block caving -LHD
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Slide 209
Front cave
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Slide 210
Inclined draw point
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Slide 211
Inclined drawpoint
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Slide 212
LHD Flat Undercut System
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Slide 213
Multi Lift Northparkes (BlockCaving)
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Slide 214
Crinkle Cut for Advanceundercuting
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Slide 215
Fan Ring Undercuting at ElTeniente
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Slide 216
LHD Layouts (Diering y Laubscher1992)
Herringbone y offset are
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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
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Slide 218
Offset herringbone layout
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Slide 219
Henderson layout
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Slide 220
El Teniente Layout (Chacon et al,2004)
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Slide 221
(a) (b)
Isolated Draw Diameter forDifferent Mine layouts
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Slide 222
Interactive Draw (Laubscher
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Slide 223
1994)
Palabora Mine, South Africa (Calder etal2000)
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Slide 224
Lift 2, Northparkes E26 Mine, Australia
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Slide 225
Drawpoint support, Koffiefontein Mine,South Africa
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Slide 226
Drawpoint support, Henderson Mine
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Slide 227
LHD Method at Tte 4 South Ovalleand Chacon
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Slide 228
LHD Layout Tte 4 Sur
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Slide 229
Undercut Fan Drill Pattern
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Slide 230
Drawpoint support, Koffiefontein Mine,South Africa
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Slide 231
Drawpoint support, Henderson Mine
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Slide 232
Esmeralda Teniente
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Slide 233
Padcal, Filipinas
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Slide 234
DOZ, Freeport Indonesia
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Slide 235
IOZ, Freeport Indonesia
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Slide 236
Extraction methods
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Slide 237
Block cave fan undercut without separate level
Extraction methods
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Slide 238
Conceptual Plan of flat undercut showing possible problem areas
Extraction methods
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Slide 239
Inclined undercut potential problem areas
Undercut managementRate of advances
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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
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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
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Slide 245
Caving Subsidence
Subsidence process
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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
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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
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Slide 248
Subsidence Angle Estimation(Laubscher Approach)
RMR 80
MRMR 72
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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)
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Slide 250
Important definitions
Alpha = angle of break to surface fracture zone
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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)
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Slide 252
Karzulovic -1997
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Slide 253
Types of discontinuous subsidence(Flores & Karzulovic 2004a)
Bl k i P i h i ll H i ll t li
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Slide 254
Block caving Progressive hangingwallcaving Hangingwall toppling
Ore
Caved
ore
Toppl ing
CraterPerimeter
Cavedrock
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Slide 255
Subsidence resultingfrom Grasberg IOZpanel caving operation,Indonesia
Subsidence generated by Salvadors block andpanel caving operations, Chile
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Slide 256
Craterperimeter
Cavedrock
Subsidence generated by El Tenientes block andpanel caving operations, Chile
Quebrada
T i t
N Craterperimeter
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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
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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
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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
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Slide 260
design chart to estimateangle of break(HT = 1200 m)
(Flores & Karzulovic 2004a)
Practical example using
d i h t t ti t
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design chart to estimateextent of zone of influence
(HT = 1200 m)
(Flores & Karzulovic 2004a)