Modelamiento Del Diseminado

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    PIERINA MINE

    “MODELAMIENTO DEL DISEMINADO EN PIERINA”

    CARLOS PINEDA T.

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    P I E R I N A

    MMINAINA PPIERINAIERINA

    PILA DE LIXIVIACIONPILA DE LIXIVIACION

    FIN DE FAJAFIN DE FAJA

    ADMINISTRACIONADMINISTRACION

    PLANTAPLANTA

    DESMONTEDESMONTE

    TAJOTAJO

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    P I E R I N A

    8955500

    8955000

    8954500

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      6                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               0                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               0                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               0                         

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      6                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                0                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               0                         

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             7                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      0                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               0                         

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          0                         

    Gold Grade-Thickness

    Pierina drill hole locations and accumulated grade-thickness

    100 gm-meters

    400 gm-meters

    800 gm-meters

    ID # HOLES TS. PER VAR.RC 409 76,570  81%

    DDH 95 18,397  19%

    TOTAL 504 94,967 

    MALLA PROMEDIO (mts). 50

    PROFUNDIDAD PROMEDIO (mt 200

    PROGRAMA EXPLORACION

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    P I E R I N A

    ISTRIBUCION ESPACIAL

    ALADROS EXPLORACION

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    P I E R I N AModelamiento

    Geológico (Zonas)

    Zonas Definidos por:

    • Alteraciones (4 tipos)

    • Litologia

    •Ley Oro-Envolventes (+ 0.20 g/tn)

    • Fallas Dominantes (7 fallas bloque)

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    P I E R I N A Geologic Modeling Process

    • Alteraciones & Au son interpolados en secciones NS y EW de cada 50 mts

    • Los datos de las secciones son ajustados a medio banco.

    • Se Identifica y Asigna codigo a las zonas usando las variables: alteración, Ley

    Oro (envolventes) , Fallas etc.

    • Anualmente se actualiza el modelo (new holes, pit mapping, & BH)

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    P I E R I N A Software Usados

    1. MineSight – DH Database, Geologic Modeling, Grade

    Estimation, 3-D Graphics

    2. GSLIB – Descriptive Statistics (assays, composites, blocks)

    3. Sage2001 –  Spatial statistics (variograms-correlograms)

    4. Psion – Pit mapping data collection

    5. AutoCAD – Graphics, pit mapping data

    6. Whittle 4X – Pit optimization

    7. Q’Pit –  Mine design

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    P I E R I N A

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    P I E R I N A Au Envelope - 3820 Elevation

    500 m

    Colluvium

    Argillic

    Quartz Alunite

    Vuggy Silica

    Legend

    0.2 g/mt Au

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    P I E R I N A Fault Block Domains

    12

    34

    5

    6

    7

    Erika Fault

    Antauran Fault

    Tinyash Fault

    Pierina Fault

       N

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    P I E R I N A Au Distribution

    Quartz-alunite Material

       F  r  e  q  u

      e  n  c  y   (   P  e  r  c  e  n   t   )

    Gold (g/mt)

    0.000 1.000 2.000 3.000 4.0000

    5

    10

    15

    20

     N 5058

    m 0.431

    σ2

    0.585

    σ/m 1.777

    min 0.000

    q0.25

    0.080

    q0.50

    0.200

    q0.75

    0.480

    max 17.710

    Class width = 0.050

    The last class contains

    all values ≥  3.950

    Cumulative Probability (percent)

       G  o   l   d   (  g   /

       t   )

    Quartz-alunite Material

     0.01 0.1 1 2 5 10 20 30 40 50 60 70 80 90 95 98 99 99.9 99.99

     0.10

      1.0

      10

      100

    Vuggy-silica Mate rial

    Frequency(Percent)

    Gold (g/mt)

    0.000 5.000 10.000 15.000 20.0000

    5

    10

     N 1042

    m 3.130

    σ2

    12.325

    σ/m 1.122

    min 0.000

    q0.25

    1.130

    q0.50

    2.120

    q0.75

    3.830

    max 35.350

    Class width = 0.250

    The last c lass contains

    all values ≥  19.750

    Cumulative Probability (percent)

    Gold(g/m

    t)

    Vuggy-silica Mate rial

     0 .01 0.1 1 2 5 10 20 30 40 50 60 70 8 0 90 95 98 99 99.9 99.99

     0.10

      1.0

      10

      100

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    P I E R I N A Gold Correlograms

    NUGGET= 0.110000.11000

    SILL =

    RANGE = 82.0

     0.27783

    SILL = 0.61217

    RANGE = 230.1

     ANGLEHORZ VERT

    HORZ WIN=

    VERT WIN=

    30.00

    30.00

      120.0

     0.00000

      240.0

     0.43750

      360.0

     0.87500

      480.0

     1.31250

      600.0

     1.75000

    D I S T A N C E

       G    A

       M    M    A

       (

       H

       )

     Au Correlograms - Fault Domain 2 - Major Axis (S70E;-3)

    MEAN = 2.16557

    LOG MEAN= 2.07121

    STD. DEV= 3.32456

    LOG STDV= 1.82866

    NO. = 1362

    C.V.= 1.54

     160 -3

     250 0

     160 -90

    NUGGET= 0.320000.32000

    SILL = 1.00000

    RANGE = 212.2

     ANGLEHORZ VERT

    HORZ WIN=

    VERT WIN=

    30.00

    30.00

      120.0

     0.00000

      240.0

     0.43750

      360.0

     0.87500

      480.0

     1.31250

      600.0

     1.75000

    D I S T A N C E

       G    A

       M    M    A

       (

       H

       )

     Au Correlograms - Fault Domain 1 - Major Axis (S78E;-9)

      168 -9

      258 0

      168 -90

    MEAN = 5.43728

    LOG MEAN= 2.75717

    STD. DEV= 6.70680

    LOG STDV= 1.98527

    NO. = 302

    C.V.= 1.23

    Fault Domain 1 Fault Domain 2

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    P I E R I N A Search Ellipsoids

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    P I E R I N A Block Model Au Grades

    0.0 – 0.5

    1.0 – 2.05

    2.0 – 5.0

    5.0 – 10.0

    > 10.0

    0.5 – 1.0

    Block Au (g/mt)   1 0 0 m

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    P I E R I N A

    P I E R I N A

    El cuerpo mineralizado es controlado litologica y estructuralmente. La

    alta ley esta alojada en la silica residual y en estructuras.

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    P I E R I N A

    DATA PARA OPTIMIZACION DE TAJO.

    VALUE = (METAL x RECOVERY x PRICE –ORE x COSTP) – ROCK x COST

    METAL = OnzasAu puestasal pad

    RECOVERY = Proporcionde metal recuperadoen el procesos.

    PRICE = Preciodel Au.

    ORE = Toneladas de Au procesados.

    COSTP = Extra costo de minadoy procesamiento.

    ROCK = Total de material (mineral y desmonte) en un bloque

    COSTM = Costode minado.

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    P I E R I N A

    La interaccionse inicia en el siguiente caso: Solamente 03

    bloques contienenAu y tienenvalores comomuestran, todos losotrosbloques son desmontey tienevalores de -1

    EJEMPLO

    23.9 6.9 23.9

    17.9 3.9 20.9

    La interacciónse iniciaa lo largo de los proximobanco.

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    P I E R I N A

    Step 12

    23.9 6.9 23.9

    -0.1 -0.1 8.9

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    P I E R I N A

    Optimal Pit

    23.9 6.9 23.9

    Los bloques marcados constituyenel pit óptimo. La pared “W” del pit

    quedacon valor de 0.8. El centroquedacon valor –1 y ningunode estosbloqueson marcados y por tanto no son minados.

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    P I E R I N A

    Cuando explotar un bloque?

    ••Valor tiempoValor tiempo deldel dinerodinero

    ••Explotar Explotar el “el “mejor mejor ” mineral” mineral primeroprimero

    ••Posponer movimientoPosponer movimiento dede lastrelastre

    1 2 3 4 5 6 7 81 2 3 4 5 6 7 8

    Elev.. Banco

    500 ton mineral

    a b c d ea b c d e

    f g h if g h i

     j k l j k l

    m nm n

    oo

    n mn m

    oo

    l k jl k j

    i h g f i h g f 

    e d c b ae d c b a

    100 ton lastre

    Superficie

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    P I E R I N A

     ANALISIS ENVOLVENTES

    Mediante el método de Parametrización se

    obtiene una serie de envolventes en las que

    cada una es óptima para un cierto escenario

    técnico - económico.Se debe seleccionar una como la envolvente final

    del proyecto.

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    P I E R I N A

    ……

    Cada Envolvente tiene sus características propias

    de: – Precio de diseño.

     – Tonelaje de lastre y mineral.

     – Ley media.

     – Ley de corte.

     – Costo promedio. – Costo máximo. (incremental)

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    P I E R I N A

    Valor de Envolventes

    8

    7

    65

    4

    3

    2

    1

    $0

    $500

    $1,000

    $1,500

    $2,000

    $2,500

    $3,000

    150 200 250 300 350 400

    Precio de Diseño (US$/oz)

         V    a     l    o    r

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    P I E R I N A

     ANALISIS INCREMENTAL

    Beneficio Total

    3,0003,000

    -0.5

    -1

    0

    0.5

    1

    1.5

    2

    Etapa de Euforia

    Inicio Problemas

    Bajos Ingresos

    2,5002,500

          B     e     n

         e      f      i     c      i     o2,0002,000

    1,5001,500

    1,0001,000

    500500

    --

    11 22 33 44 55 66 77 88

    PitPit

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    P I E R I N A

    Cuerpo Sur Pit Shell Definition

    0

    50000

    100000

    150000

    200000

    250000

    300000

    - 50 100 150 200 250 300 350 400 450

    Total Material

      Ore

    Oz.Au

    PIT OPTIMO

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    P I E R I N A

    PIT OPTIMO

    0.0

    50.0

    100.0

    150.0

    200.0

    250.0

    300.0

    350.0

    400.0

    450.0

    500.0

    1 6 11 16 21 26 31 36

    0.0

    20.0

    40.0

    60.0

    80.0

    100.0

    120.0(m)Toneladas VAN(m)Máximo VAN

    Tonelaje vs VAN

    Tonelaje

    VAN

    Posible Fase 1

    Posible Fase 2

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    P I E R I N A

    QpitWhitttle

    Diseño optimo de pit, donde intervienen varibles geologicos,

    Geotecnicos, Costos, etc. buscando optimizar el VPN

    Modelo Mina

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    P I E R I N A

    • Maximizar el VAN

    FASES DE MINADO

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    P I E R I N A

    ESTIMACION DE RESERVAS

    Reserva es aquel recurso que es técnica y

    económicamente explotable.

    Este proceso consiste en asociar al depósito uno o

    mas diseños mineros destinados a la extracción

    del recurso en la mejor forma posible.

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    P I E R I N A

    Algunas de las variables mas típicas a definir son:

     – Tipo de productos a producir. – Precios de los productos. – Costos esperados.

     – Recuperación Metalúrgica – Ambiente geotécnico. – Políticas impositivas.

     – Etc.

    …...

    P I E R I N A

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    P I E R I N A

    …...

    Al término de este proceso se debe contar con la

    información necesaria para proceder al

    planeamiento de minado y a la evaluación

    económica del proyecto.

     – Tonelaje y ley a recuperar.

     – Método(s) a usar.

     – Envolvente(s) definiendo cuerpos a explotar.

     – Capacidad de producción esperada.

    P I E R I N A

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    P I E R I N A

    • Reserva Minables – Mineral : 59.9 M @ 1.83 Au / 7.17 Ag

     – ROM : 3.8 M @ 0.44 Au / 3.77 Ag

    • Contenido de Onzas – Au : 3.6 M

     – Ag : 14.3 M

    • Ley de Corte

     – Mineral : 0.50 g/t Au Eq – ROM : 0.30 g/t Au Eq

    RESERVAS MINABLES

    P I E R I N A

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    P I E R I N A

    DISEÑO ESTRATEGICO

    “La Planificacion es una actividad

    creativa mientras tanto la optimizaciones un proceso analítico. No muchas

    optimizaciones formularan una

    estrategia; esto solamente refinariauna de las seleccionadas. Planificar

    es la actividad primaria, laoptimización es complementaria.”

    P I E R I N A NIVELESDEPLANIFICACION

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    P I E R I N A

    El Plan Minero suele separarse en diferentes

    horizontes de planeamiento, de distinto nivel de

    detalle - riesgo.

     – Plan para la Vida de la Mina (LOM)

     – Plan de Largo Plazo (Periodo de

     Negocio)

     – Plan de Operaciones (2 a 5 años)

     – Plan Anual – Planes Mensuales o Semanales

    NIVELES DE PLANIFICACION

    P I E R I N A

    PLANIFICACIONENPIERINA

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    P I E R I N A

    OPTIMIZACION Y MEJORAS

    PLANIFICACION EN PIERINA

    P I E R I N A

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    • Haga de una mina marginal una

    rentable o de una buena mina una

    mejor.

    GRACIAS.GRACIAS.