Introduccion Teoria Avo

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    Practical AVO

    Introduction to AVO

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    Table of Contents

    1) Overview of the AVO process

    2) Theory Part 1 : oc! Physics " #luid eplace$ent %odelin&

    ') Theory Part 2 : AVO Theory " %odelin&

    () or!shop Part 1: The Ostrander %odel " Colony *as +and

    ,) Theory Part ' : AVO Analysis on eal -ata

    .) or!shop Part 2: AVO Analysis of 2- " '- Channel +and

    /) Theory Part ( : AVO Case +tudies

    0) or!shop Part ': *ulf Coast ercises

    3) or!shop Part (: lastic I$pedance

    14) or!shop Part ,: 5a$bda6%u6ho 75%)

    11) Theory Part , : A#I: Analy8in& uncertainty in AVO

    12) Theory Part . : Ac9uisition " Processin& Concerns in AVO

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    Introduction

    This tutorial is a brief introduction to the A$plitude Variations with

    Offset or A$plitude Versus Offset 7AVO) $ethod;

    e will briefly review how the interpretation of seis$ic data has

    chan&ed throu&h the years;

    e will then loo! at why AVO was an i$portant step forward for the

    interpretation of hydrocarbon ano$alies;

    #inally we will show why the AVO response is closely lin!ed to theroc! physics of the reservoir;

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    A +eis$ic +ection

    The fi&ure above shows a stac!ed seis$ic section recorded over the shallow

    Cretaceous in Alberta;

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    +tructural Interpretation

     >our eye $ay first &o to an interestin& seis$ic event between .'4 and .(4 $s;

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    *as well location

    And in this case he or she would have been ri&ht? A successful &as well was drilled

    at that location; The fi&ure above shows the sonic lo& inte&rated to ti$e spliced on

    the section; The &as sand top and base are shown as blac! lines on the lo&;

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    @ri&ht spotsB

    ut this would have been a luc!y &uess since structure alone does not tell you that a

    &as sand is present; A &eophysicist in the 13/4s would have based the well on the

    fact that there is a @bri&ht spotB visible on the seis$ic section as indicated above;

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    hat is a @bri&ht spotB

    To understand @bri&ht spotsB recall the definition of the 8ero6offset reflectioncoefficient shown in the fi&ure above;  R

    0 the reflection coefficient is the a$plitude

    of the seis$ic pea! shown; Dote also that the product of density and P6wavevelocity V  is called acoustic i$pedance;

    1122

    1122

    0

    V V 

    V V  R

     ρ  ρ 

     ρ  ρ 

    +

    −=

    +eis$ic

    raypath

    Interface atdepth E d 

     

    1V 

    1

     

    2V 

    2

    eflection at ti$e

    t = 2d/V 1

    Geology Seismic  Surface

    +eis$ic

    avelet

    Shale

    Gas Sand 

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    hat is a @bri&ht spotB

    The fi&ure on the ri&ht

    ta!en fro$ *ardner et al;

    7Formation velocity and

    density - The diagnostic

    basics for stratigraphic

    traps: Geophysics, 1974)

    shows that there is a bi&

    difference between shaleand &as sand velocity at

    shallow depths; The

    paper also shows that

    density and velocity are

    approi$ately related by

    the e9uation

      = 0.23 V 0.25  

    Thus we would epect a

    bi& reflection coefficient

    or @bri&ht spotB for

    shallow &as sands;

    -ifference between shale and &as

    sand velocity at shallow depth;

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    The AVO $ethod

    Fnfortunately @bri&ht

    spotsB can be caused

    by litholo&icvariations as well as

    &as sands; This lead

    &eophysicists in the

    1304s to start

    loo!in& at pre6stac!

    seis$ic data; Thea$plitude increase

    with offset shown

    here was predicted

    by Ostrander 7lane- 

    !ave reflection

    coefficients for gassands at nonnormal

    angles-of-incidence:

    Geophysics, 19"4) for

    certain &as sands

    7Class ' as we will

    discuss later);

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    hat causes the AVO effect=

    As shown above the traces in a seis$ic &ather reflect fro$ the subsurface at

    increasin& an&les of incidence ; The first order approi$ation to thereflection coefficients as a function of an&le is &iven by addin& a second ter$

    to the 8ero6offset reflection coefficient:

    θ θ    20

      sin)(   B R R   +=

    θ1

    θ2θ

    3

    Surface

    Reflector 1

    V  P1

    V  S1

    2V 

     P2V 

     S2

     B is a &radient ter$ which produces the AVO effect; It is dependent on

    chan&es in density P6wave velocity V  P  and +6wave velocity V  S ;

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    hy is +6wave velocity i$portant=

    As Gust shown the

    &radient ter$ is dependent

    on density P and +6wave

    velocity; The reason that

    +6wave velocity has such

    an i$pact is shown on the

    left where P and +6wavevelocity are shown as a

    function of &as saturation

    in the reservoir; Dote that

    P6wave velocity drops

    dra$atically but +6wave

    velocity only increasessli&htly 7why=); This will

    be discussed thorou&hly

    in the net chapter;

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    AVO %odelin&

    ased on AVO theory and the roc! physics of the reservoir we can perfor$ AVO

    $odelin& as shown above; Dote that the $odel result is a fairly &ood $atch to the

    offset stac!; Also note that Poissons ratio is a function of VpHVs ratio and will be

    discussed in the net chapter;

    P6wave -ensity +6wavePoissons

    ratio +ynthetic Offset +tac!

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    AVO Attributes

    Intercept: A

    *radient:

    AVO Attributes are

    used to analy8e

    lar&e volu$es ofseis$ic data

    loo!in& for

    hydrocarbon

    ano$alies;

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    Cross6plottin& of Attributes

    One of the AVO $ethods that we will bediscussin& later in the course involves cross6

    plottin& the 8ero6offset reflection coefficient 7A)

    versus the &radient 7) as shown on the left;

    As seen in the fi&ure below the hi&hli&hted

    8ones correspond to the top of &as sand 7pin!)base of &as sand 7yellow) and a hard strea!

    below the &as sand 7blue);

    *radient 7)

    Intercept 7A)

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    Dear Inversion

    AVO Inversion

    #ar Inversion

    A very i$portant new toolco$bines Inversion with

    AVO Analysis to enhance

    the reservoir

    discri$ination;

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    Conclusions

    +eis$ic interpretation has evolved over the years fro$ strictlystructural interpretation throu&h @bri&ht spotB identification to directhydrocarbon detection usin& AVO;

    In this course we will elaborate on the ideas that have been presented

    in this short introduction;

    As a startin& point the net chapter will discuss the principles of roc!physics in $ore detail;

    e will then $ove to AVO $odelin&;

    #inally we will loo! at AVO analysis on real seis$ic data;

    In each case we will first loo! at the theory and then perfor$ awor!station ea$ple;