SC Hein Tight Gas

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    Evaluation of Tight Gas ReservoirsEvaluation of Tight Gas Reservoirs

    Victor Hein, P.E.Victor Hein, P.E.

    Ryder Scott CompanyRyder Scott Company

    June 2009June 2009

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    Resource PyramidResource Pyramid

    Small Volumes

    Large Volumes

    Increas e

    dDemand

    BetterT

    echnologyHigh

    Quality

    Medium

    Quality

    Low

    Quality

    Coalbed

    Methane

    Gas

    Shales

    Tight

    Gas

    1000 md

    100 md

    1 md

    0.1 md

    0.001 md

    0.0001 md Contin

    uedDri

    llingan

    dDevelopme n

    t

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    Gas Consumption North AmericaGas Consumption North America

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    Gas Consumption WorldGas Consumption World

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    OECD CountriesOECD Countries

    AustraliaAustriaBelgiumCanada

    Czech RepublicDenmarkFinlandFrance

    GermanyGreeceHungaryIcelandIreland

    ItalyJapanKoreaLuxembourgMexico

    NetherlandsNew ZealandNorwayPolandPortugalSlovak RepublicSpainSweden

    SwitzerlandTurkeyUnited Kingdom

    United States

    http://www.oecd.org/country/0,3377,en_33873108_33873229_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873245_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873261_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873277_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873293_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873309_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873360_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873376_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873402_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873421_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873438_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873476_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873500_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873516_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873539_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873555_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873574_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873610_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873626_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873658_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873681_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873739_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873764_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873781_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873806_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873822_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873838_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873854_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873870_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873870_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873854_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873838_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873822_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873806_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873781_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873764_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873739_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873681_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873658_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873626_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873610_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873574_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873555_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873539_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873516_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873500_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873476_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873438_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873421_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873402_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873376_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873360_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873309_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873293_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873277_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873261_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873245_1_1_1_1_1,00.htmlhttp://www.oecd.org/country/0,3377,en_33873108_33873229_1_1_1_1_1,00.html
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    World Gas ReservesWorld Gas Reserves

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    Excludes Russia

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    Overview of World Gas ReservesOverview of World Gas Reserves

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    Significant Gas FactsSignificant Gas Facts

    Tight Gas 20% of US Production

    Unconventional Gas 44% of 2005 US Production

    Unconventional Gas 49% of 2030 US Production

    2005 OECD 38 % Worlds Gas Production 2005 OECD 50 % Worlds Gas Consumption

    2030 OECD 27 % Worlds Gas Production

    2030 OECD 42 % Worlds Gas Consumption

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    Tight Gas Resource TriangleTight Gas Resource Triangle

    58 TCF produced through 2000 34 TCF Proven Reserves in 2001

    Technically Recoverable volume 185 TCF

    Undiscovered 350 TCF Additional GIP 5000 TCF

    Source GTI 2001

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    Tight Gas CharacteristicsTight Gas Characteristics

    Low Permeability (

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    Evaluation MethodsEvaluation Methods

    Volumetrics Material Balance

    Decline Curves

    Production History Matching

    Advanced Production Analysis

    Simulation

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    VolumetricsVolumetrics

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    Archie EquationsArchie EquationsClean SandClean Sand

    For low porosity sandstones:

    a is typically 1.0m initially thought to be 2.0, later used values of 1.8-2.0

    for tight gas

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    Shaley SandShaley Sand

    Fertl and Hammack reduction of Simandoux

    Original Simandoux (widely used) based on very limited

    samples

    Vsh is effective shale volume, fraction

    F is from shale corrected porosity

    Rsh is the resistivity of the shale in sand recommends0.4R of shale beds

    Hilchie 1982

    Advanced Well Log Interpretation

    D it P itD it P it

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    Density PorosityDensity PorosityCorrections for InvasionCorrections for Invasion

    Clean SandClean Sand

    Density gets most of response from 3-4 from wellbore

    Solve equations by trial and error

    Initial guess for b is from mf= 1 + 0.73P where P is

    Salinity in ppm divided by 1,000,000

    Calculate gas density or estimate from following figure

    When numbers converge you have answerHilchie 1982

    Advanced Well Log Interpretation

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    Density Neutron PorosityDensity Neutron Porosity

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    Density Neutron PorosityDensity Neutron PorosityType I Invasion ProfileType I Invasion Profile

    Hilchie 1982

    Advanced Well Log Interpretation

    Very deep or very shallow invasion - logs read same fluid

    Quick approach below, best simultaneous eq using Rxo

    Density Neutron PorosityDensity Neutron Porosity

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    Density Neutron PorosityDensity Neutron PorosityType II Invasion ProfileType II Invasion Profile

    Hilchie 1982

    Advanced Well Log Interpretation

    Invasion on order of 3-4 but not beyond neutron

    Simultaneous equations for density with Rxo device best

    Use density porosity only will be somewhat high

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    Combined Archie EquationCombined Archie EquationClean SandClean Sand

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    Pi k tt Pl t E l

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    Pickett Plot Example

    Th i N P d

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    Their New ProcedureTheir New Procedure

    R1(T1+6.77) = R2(T2+6.77)

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    ConclusionsConclusions

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    ConclusionsConclusions

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    Net pay 18ft

    Net pay added using highresolution is 50 feet!

    High Resolution in Layered SandsHigh Resolution in Layered Sands

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    Net PayNet Pay

    Low Permeability Zones Often Have ExtensiveTransition Zones

    Calibrate Cutoffs with Cores

    Archie Equation Breaks Down at Very Low Porosities

    for m = 2

    Watch Out for Laminated Sands Below Vertical

    Resolution of Logs

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    Data IntegrationData Integration

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    General Observations Log AnalysisGeneral Observations Log Analysis

    Tight gas systems often contain layered and/or

    dispersed clay (analysis methods different) Core data and FMI often critical to understanding

    type system and existence of fractures

    Must depth shift logs particularly in layered system

    Calibrate logs and k estimates to cores Consider special core analysis in new plays

    Full logging suite required for shaley sands

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    What Is Effective Drainage Area?What Is Effective Drainage Area?

    1 Year

    0.1 md

    0.0001 md0.001 md

    0.01 md

    10 Years

    0.1 md

    0.0001 md0.001 md

    0.01 md

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    Effective Drainage AreaEffective Drainage Area

    Drainage Area f(k, Xf, Porosity, Geometry)

    Have Dependent Relationship Between

    Effective Drainage Area and Recovery Factor

    Should Define Effective Drainage Area Relative

    to Time and Recovery Factor

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    Core AnalysisCore Analysis

    CER, Holditch & Assoc 1991

    Analysis critical to understanding of layered or

    complex reservoir

    Must measure rock properties under NOB(Jones andOwens, Soeder and Randolf)

    Can have ten fold or more reduction in permeability

    due to NOB at 0.01 md and below

    Lower permeability rocks - smaller pore throats

    Reduction of k with net overburdenReduction of k with net overburden

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    Reduction of k with net overburdenReduction of k with net overburden

    CER, Holditch & Assoc 1991

    Reduction of k with net overburdenReduction of k with net overburden

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    Reduction of k with net overburdenReduction of k with net overburden

    Mesaverde FormationMesaverde Formation

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    Estimation of Permeability From LogsEstimation of Permeability From LogsExample Timurs Equation

    c

    wi

    ma

    S

    Kk

    =

    c = 2 since k inversely proportional to surface area

    squared and Swi proportional to surface area

    Plot vs2)( wiSk straight line with slope m on log log

    and y axis intercept at Ka

    m related to tortuosity of the rockKukal, Simons SPE 13880

    Estimation of k in very tight rocksEstimation of k in very tight rocks

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    Estimation of k in very tight rocksEstimation of k in very tight rocks Timurs: little data < 1 md, also unstressed k

    Predicted k two orders of magnitude high for 0.1d < k < 0.1md

    Clay increases tortuosity, surface area

    Better method: plot k(Swi**2) vs. ((1-Vcl) on log log plot

    where: Swi and Vcl in fractions

    K includes effect of overburden at 1.0 psi/ft

    Swi must be at irreducible

    must correct k to Kg

    Derived from Mesaverde core date in Western Colorado

    Kukal, Simons SPE 13880

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    Estimating k where SEstimating k where Swiwi unknownunknown

    86.3))1((4.171 clVk =

    Porosity and Vcl in fractions

    Only slightly less accurate that equation with Swi

    Derived from Mesaverde also works in Travis Peak in

    East Texas

    Other examples of slot pore geometry are Albertas

    deep Spirit River, East Texas Cotton Valley,Piceance Cozzette, Wyoming

    Should be useful in many low k sandstones

    Kukal, Simons SPE 13880

    Plot k vs. ((1-Vcl)) on log log plot

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    Material Balance P/ZMaterial Balance P/Z

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    P/Z Based on Tank ModelP/Z Based on Tank Model

    Constant Volume

    No Efflux or Influx

    Pressure Gradients Small

    Measured Pressures Representative of Average

    Pressure

    Tight Gas P/Z PlotTight Gas P/Z Plot

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    Tight Gas P/Z PlotTight Gas P/Z Plot

    R di f D i R di l FlR di f D i R di l Fl

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    Radius of Drainage Radial FlowRadius of Drainage Radial Flow

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    Transient vs. Boundary FlowTransient vs. Boundary Flow

    Constant Rate Example

    Cross Section

    Plan View

    3500

    2500

    4000

    3000

    2000

    Boundary Dominated

    Well Performance

    f(Volume, PI) Transient Well P

    f(k, skin, ti

    Fekete RTA

    Documentation

    T i t B d FlT i t B d Fl

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    Transient vs. Boundary FlowTransient vs. Boundary Flow

    Transient Flow

    Early time or lowpermeability.

    Flow that occurs when the

    pressure pulse is

    moving into an infinite orsemi infinite acting

    reservoir.

    The fingerprint of the

    reservoir. Contains

    information about

    reservoir properties ie k

    Boundary Flow

    Late time flow behavior. Typically dominates long

    term production data.

    Reservoir is in a state of

    pseudo-equilibrium massbalance.

    Contains information

    about reservoir pore

    volume (OGIP).

    Fekete RTA

    Documentation

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    Time to Pseudo Radial FlowTime to Pseudo Radial Flow

    3

    006328.02 =

    ft

    fXDxc

    kt

    t

    Lee, Wattenbarger SPE Textbook 5

    D ti f Fl P i d HF W llD ti f Fl P i d HF W ll

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    Duration of Flow Periods HF WellDuration of Flow Periods HF Well

    Lf (ft) k(md) telf tsprf

    100 1 0.3 hrs 51.2 hrs100 0.01 27.3 hrs 213 days

    1,000 0.01 114 days 58 years

    100 0.001 11.4 days 5.8 years

    1,000 0.001 3.1 years No way!!

    = 0.15, CrD = 100, = 0.03 cp, ct = 0.0001 1/psi

    Ti h G P B ild T

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    Tight Gas Pressure Buildup TestsTight Gas Pressure Buildup Tests

    very important to run prefrac BU for k and Pwsi

    prefrac results can insure on proper straight line after

    production period of significant length for pseudo radial

    common problem in PT tests is that shut in period is too

    short

    too short of flow period can also be a problem i.e

    wellbore unloading is incomplete (mass rate at surface

    exceeds mass rate out perforations)

    consider bottom hole shut-in (tubing plug) if afterflow

    exceeds maximum practical test time

    P B ild T t D i

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    Pressure Buildup Test DesignPressure Buildup Test Design

    make estimates of kgfrom guess then test data

    estimate end of WBS

    estimate beginning of pseudo radial flow

    estimate onset of BDF

    post frac estimates for time use type curves

    SPE 17088, Dr. W. J. Lee

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    Static Material Balance ProblemsStatic Material Balance Problems

    Difficult to Analyze Due to Required SI Time,

    Heterogeneity, Large Pressure Gradients

    Common Curved Behavior

    Can Result in Large Errors for GIP which are Generally

    Low for Early Cum Values Increased SI Times Help but GIP Generally Low

    Scatter = f(Pressure Gradients, Heterogeneity)

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    Static Material Balance SummaryStatic Material Balance Summary

    Get Pre Frac Initial Pressure Use Longer SI Times if Possible

    Existence of Straight Line Does Not Insure Tank

    Behavior

    If Curved or Two Slopes Look at Later Straight Line

    If Possible, QC Shut-in Times

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    Flowing Material BalanceFlowing Material Balance

    FTP converted to FBHP

    Pseudo Pressure and Pseudo Time to Correct for

    Viscosity and Compressibility Changes

    Uses BDF flow equation for Gas simplified to

    pssp

    pa

    i

    pssp bp

    GG

    bp

    q 11+

    =

    Iterative Process Dependent on guess for OGIP Plot Normalized Rate and Cum Prod

    Fl i M t i l B lFlo ing Material Balance

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    Flowing Material BalanceFlowing Material Balance

    ppq

    p

    pa

    p

    G

    Flowing Material BalanceFlowing Material Balance

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    Flowing Material BalanceFlowing Material Balance

    Curve is concave up until PSS - generally yielding

    minimum OGIP Model is well in Center of Circle

    Liquid Loading, Condensate Ring, Scale, etc. can

    Affect Results

    Dont use where Water Drive or Abnormal Pressure Use with Caution for High Perm Variations

    Can be Useful but be Careful

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    Decline CurvesDecline Curves

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    D li C E ti ADecline Curve Equations Arps

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    Decline Curve Equations - ArpsDecline Curve Equations - Arps

    Exponential

    Hyperbolic

    A T diti l A l iA T diti l A l i

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    Arps Traditional AnalysisArps Traditional Analysis

    Based on Empirical Observations Exponential (D is constant)

    Hyperbolic (D changes with time, 0

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    Types of Decline Curves - ArpsTypes of Decline Curves - Arps

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    Criteria for Arps AnalysisCriteria for Arps Analysis

    Well Produced at or near Capacity Constant Flowing Bottom Hole Pressure

    Drainage Area Remains Constant (BDF has been

    Achieved)

    Same Completion

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    What About b > 1 ?What About b > 1 ?

    Wrong Interpretation

    Transient Flow instead of Boundary Dominated

    Effects of b FactorEffects of b Factor

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    Effects of b FactorEffects of b Factor

    Cox, et alSPE 78695

    Deep Tight Gas ExampleDeep Tight Gas Example

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    Deep Tight Gas ExampleDeep Tight Gas Example

    0.0009 < k < 0.07 md

    Spacing 80 acresPwsi = 16,200 psia

    BHT 400 deg F

    Porosity = 6.6%Sw = 36%

    Kv/Kh = 0.001

    Thickness = 200

    Rushing, et al SPE 109625

    Xf= 300 (unless specified)

    Fracture k = 100md

    Effects of Layers on b ExponentsEffects of Layers on b Exponents

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    Effects of Layers on b ExponentsEffects of Layers on b Exponents

    Years b

    1 Lay

    b

    4 Lay

    b

    8 Lay

    b

    16Lay

    Error

    (%)

    1Layer

    Error

    (%)

    4Layer

    Error

    (%)

    8Layer

    Error

    (%)

    16Layer

    1 3.62 2.78 2.89 2.97 132 110 117 128

    5 2.95 1.35 1.30 1.39 58 22 11 20

    10 1.48 1.04 1.18 1.26 19 8 9 11

    20 0.58 1.01 1.04 0.96 0.1 7 7 3

    Effects of Xf on b ExponentsEffects of Xf on b Exponents

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    Effects of Xf on b ExponentsEffects of Xf on b Exponents

    Years b

    Xf=50

    b

    Xf=100

    b

    Xf=300

    b

    Xf=500

    Error

    (%)

    Xf=50

    Error

    (%)

    Xf=100

    Error

    (%)

    Xf=300

    Error

    (%)

    Xf=500

    1 4.01 3.60 2.78 1.91 145 139 110 78

    5 1.53 1.44 1.35 1.20 34 25 22 12

    10 1.10 1.08 1.04 1.03 14 10 8 7

    20 1.07 1.06 1.01 0.96 0.11 9 7 6

    Synthetic Single ReservoirSynthetic Single Reservoir

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    80 acres80 acres

    Cheng, Lee, McVay

    SPE 108176

    Synthetic Single ReservoirSynthetic Single Reservoir

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    80 acres80 acres

    Cheng, Lee, McVay

    SPE 108176

    Synthetic Single ReservoirSynthetic Single Reservoir

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    80 acres80 acres

    Cheng, Lee, McVay

    SPE 108176

    Synthetic Single ReservoirSynthetic Single Reservoir

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    80 acres80 acresall data includedall data included

    Cheng, Lee, McVay

    SPE 108176

    All predictions from regression are too high

    All values of b >1.0

    b is proportional to Di

    Percent error increases as b increases

    Correct values for b cannot be directly obtained

    from transient data

    Synthetic Single ReservoirSynthetic Single Reservoir

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    80 acres80 acres

    Cheng, Lee, McVay

    SPE 108176

    Stabilization time was 4.4 years

    Discarded all data prior to 5.0 years

    b generally decreases with time and all b values < 1.0

    Results indicate that using only stabilized data sufficiently accurate

    Decline Curve EstimateDecline Curve Estimate

    Si l L b i d 1 0Si l L b t i d t 1 0

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    Single Layer, b constrained to 1.0Single Layer, b constrained to 1.0

    Cheng, Lee, McVay

    SPE 108176

    Decline Curve EstimateDecline Curve Estimate

    Si l L b t i d t 1 0Si l L b t i d t 1 0

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    Single Layer, b constrained to 1.0Single Layer, b constrained to 1.0

    Cheng, Lee, McVay

    SPE 108176

    Decline Curve EstimateDecline Curve Estimate

    Si l L b t i d t 1 0Si l L b t i d t 1 0

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    Single Layer, b constrained to 1.0Single Layer, b constrained to 1.0

    Cheng, Lee, McVay

    SPE 108176

    b= 1.0 results in either underestimates oroverestimates

    At early times production generally

    underestimated

    Forecasts tend to be more stable as more

    late time data are included in the analysis

    Additional ObservationsAdditional Observations

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    Additional Observationsdd o a Obse a o s

    Cheng, Lee, McVay

    SPE 108176

    b for stabilized flow related to reservoir drivemechanism, fluid properties and reservoir conditionsFetkovich et al 1996, Chen and Teufel 2002

    b decreases as reservoir depletes

    Average b during entire depletion phase will be < 1Chen and Teufel 2002

    Improved Analysis TechniqueImproved Analysis Technique

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    Improved Analysis Techniquep y q

    Chen 2002

    Calculate bE Pi = initial reservoir pressure

    Pp,n = is normalized pseudo pressure

    Cgi is isothermal compressibility @ Pi Zi evaluated at Pp, Zwfevaluated at Pwf

    Improved Analysis TechniqueImproved Analysis Technique

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    p o ed a ys s ec quep y q

    Cheng, Lee, McVay

    SPE 108176

    Improved Analysis TechniqueImproved Analysis Technique

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    p y qp y q

    Cheng, Lee, McVay

    SPE 108176

    Back extrapolate to get qi at zero delta time

    Improved Analysis TechniqueImproved Analysis Technique

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    p y qp y q

    Cheng, Lee, McVay

    SPE 108176

    Back extrapolate to get Di at zero delta time

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    Improved Analysis TechniqueImproved Analysis Technique

    Multi LayerMulti Layer

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    Multi LayerMulti Layer

    Cheng, Lee, McVay

    SPE 108176

    Estimate b at 0.6

    No theoretical basis, based on observed results from a

    few field and synthetic cases

    Other procedures are the same

    Decline Curve Analysis CBMDecline Curve Analysis CBM

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    Rushing, Perego, Blasingame studied CBM behavior

    using simulation (SPE 114514)

    Long term b exponents ranged from 0.20 to 0.80 Early decline behavior for many wells was

    exponential becoming more hyperbolic with time

    None of the simulated cases exhibited long term

    exponential behavior due to non linearrelationships between key coal properties and

    either pressure or saturation

    Wells with higher Pwf(all other factors being equal)

    exhibited higher b values for long term production

    Improved Decline Curve AnalysisImproved Decline Curve Analysis

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    Additional method proposed by Ilk, Rushing, Perego,

    and Blasingame (SPE116731)

    Presents power law lost ratio method Presents diagnostic curves to aid in decline type

    - hyperbolic, exponential

    Method has merit, however, industry probably

    slow to replace traditional decline curve methods

    Summary Conventional AnalysisSummary Conventional Analysis

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    Fit Hyperbolic when in BDF

    Research Terminal Declines! Research Time in Transient Flow!

    See if can Fit with b 1.0

    Use Improved or advanced methods

    Analogies Should Have Similar Completions

    Similar Reservoir Parameters

    Similar Spacing

    Sufficient Production History for Reliable Analysis

    Type Curve Changes With SpacingType Curve Changes With Spacing

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    yp g p gyp g p g

    1,000

    10,000

    100,000

    0 20 40 60 80 100 120

    Gas[M

    cf]

    Months

    1,000

    10,000

    100,000

    0 20 40 60 80 100 120

    Gas[M

    cf]

    Months

    1,000

    10,000

    100,000

    0 20 40 60 80 100 120

    Gas[M

    cf]

    Months

    160

    acre80 acre

    40 acre

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    Production History MatchingProduction History Matching

    Production History MatchingProduction History Matching

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    y gy g

    Example PROMAT Single-Phase, Single-Layer Analytical Model

    combined with Regression Analysis

    Fast + Can Provide Accurate k, S (Xf) and sometimes

    Drainage Area Accuracy Good where k Variation not big (Sergio Vera, MS

    Thesis, Texas A&M 12/2006)

    Production History Match ExampleProduction History Match Example

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    Production History Matching - ProblemsProduction History Matching - Problems

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    Non-Unique Solutions without Good Reservoir

    Description

    Pre-frac k can Over Estimate Reserves

    Inaccurate in Layered Systems with Large

    Permeability Variations

    Accuracy Increases with Production Data

    Multi-Layer Models often Require Detailed Data such

    as Production Logs, etc.

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    Advanced Production AnalysisAdvanced Production Analysis

    Flow Periods for Fractured WellFlow Periods for Fractured Well

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    Most of flow due to expansion in fracture

    Generally too early to be of practical use

    Often masked by WBS

    Cinco et al 1981

    Flow Periods for Fractured WellFlow Periods for Fractured Well

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    Two types of linear flow simultaneously occur

    Most of flow comes from formation

    Cannot determine frac length just from bilinear flow Plot of Pwfvs t**1/4 is straight line, plot of P or m(p)

    vs time is slope on log log plot Cinco et al 1981

    Flow Periods for Fractured WellFlow Periods for Fractured Well

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    Cinco et al 1981

    Occurs only where high conductivity fracture, CrD 100

    Continues approxtLfD = 0.016

    Plot of Pwfvs. t**1/2 is straight line, plot of P or m(p)vs time is slope on log log plot

    Flow Periods for Fractured WellFlow Periods for Fractured Well

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    Transition period between linear flow and radial flow

    Badazhkov et al (SPE 117023) contains method and

    references

    Cinco et al 1981

    Flow Periods for Fractured WellFlow Periods for Fractured Well

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    Fracture functions as extended wellbore consistent witheffective wellbore radius concept

    Large Lf compared to drainage area can mask due to

    BDF

    Begins at tLfD ofapprox 3 for CrD 100, less for lower CrD

    Pwfvs log t is straight lineCinco et al 1981

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    Tight Gas FlowTight Gas Flow

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    General Behavior

    Small Xf compared to ROI Linear to Pseudo Radial less common

    Large Xf compared to ROI

    Long Term Linear Flow followed by BDF

    Infinite Acting Linear Systems

    Parallel Reservoir or No Flow Boundaries

    Analysis of Linear FlowAnalysis of Linear Flow

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    Plot of (m(pi)-m(pwf))/qg vs t**1/2 yields straight lines of

    different slopes

    Slope departs from analytical value as flow rates or

    degree of drawdown become higher

    Dont see the same degree of departure from analytical

    solutions for pseudo radial flow

    Analysis of Linear FlowAnalysis of Linear Flow

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    Ibrahim and Wattenbarger SPE 100836

    Analysis of Linear FlowAnalysis of Linear Flow

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    Ibrahim and Wattenbarger SPE 100836

    Analysis of Linear FlowAnalysis of Linear Flow

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    Ibrahim and Wattenbarger SPE 100836

    Analysis of Linear FlowAnalysis of Linear Flow

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    Ibrahim and Wattenbarger SPE 100836

    Analysis of Linear FlowAnalysis of Linear Flow

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    Ibrahim and Wattenbarger SPE 100836

    Analysis of Linear FlowAnalysis of Linear Flow

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    Ibrahim and Wattenbarger SPE 100836

    Analysis of Linear FlowAnalysis of Linear FlowCorrections to Constant PCorrections to Constant Pwfwfcase for Drawdowncase for Drawdown

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    Ibrahim and Wattenbarger SPE 100836

    Define Dimensionless Drawdown as:

    Define correction factor as:

    Solutions become

    Analysis of Linear FlowAnalysis of Linear FlowCorrections to Constant PCorrections to Constant Pwfwfcase for Drawdowncase for Drawdown

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    Ibrahim and Wattenbarger SPE 100836

    Analysis of Linear FlowAnalysis of Linear FlowS iSynopsis

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    SynopsisSynopsis

    Ibrahim and WattenbargerSPE 100836

    cAk from slope of (m(pi)m(pwf))/qg vs sqrt(t) plot

    Determine pore volume from slope and time to end of

    linear flow, OGIP by including rock and fluid properties

    Cannot determine k independently without Ac

    Slope ofsqrt(t) plot affected by drawdown for constant

    pwfcase

    Without correction factor can be in error by up to 22%

    at maximum drawdown No correction factors yet available for constant rate

    case

    Advanced Production AnalysisAdvanced Production Analysis

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    Combines Concepts from Pressure Transient Analysiswith Production Data

    Allows for Determination of k and S or Xf in Transient

    Region, OGIP from BDF

    Newer Methods (Post Fetkovich) Allow Changes inOperating Conditions

    Can also use for Diagnostic Analysis (Transient, BDF,

    Interference)

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    FetkovitchFetkovitch

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    Combination of Analytical Transient Model and

    Traditional Arps

    Vertical Well, Center of Closed Circle, Single Phase

    Fluid

    Requires Constant Flowing Bottom Hole Pressure - less

    useful for gas wells

    Type Curve Match of Qd and Td against actual rate

    versus time

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    Blasingame, et alBlasingame, et al

    S l t M d l

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    Select Model

    Radial

    Infinite Conductivity Fracture

    Finite Conductivity Fractures

    Elliptical FlowHorizontal Well

    Obtain match, multiple functions should fit same TC

    Possible to obtain k and S or Xf

    Can obtain OGIP if in BDF

    Blasingame, et al

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    Advanced Production AnalysisAdvanced Production Analysis

    Blasingame and othersBlasingame and others

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    Tight gas reservoirs can suffer from non unique

    solutions

    Must have good idea of OGIP to reduce the non-

    uniqueness problem

    Even prefrac buildup for k and a post-frac buildupfor Xfdoes not guarantee a unique solution

    Can use decline curves or FMB to estimate OGIP

    Important Type Curve TechniquesImportant Type Curve Techniques

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    Palacio and Blasingame (SPE 18799, Fekete RTA documentation) Agarwal, Gardner, et al (SPE 57916, Fekete RTA documentation)

    Important Other MethodsImportant Other Methods

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    Crafton, Reciprocal Productivity Index (SPE 37409, 49223)

    Ozkan,et al

    Transient RPI for Horizontal Wells (SPE 77690, 110848)

    Reservoir SimulationReservoir Simulation

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    Reservoir SimulationReservoir Simulation

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    Gold Standard for Evaluation

    Expensive, Time and Data Intensive Danger is Experience Level of Hands On Workers

    or Weakest Link

    Simulation Requires Knowledge of General

    Reservoir Engineering and Production Engineering

    Must have People in you Organization to

    Understand Work Process, Results and Integrate

    with Common Sense

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    Cox et al SPE 98035

    re Generally Proportional to Lf, k

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    Cox et al SPE 98035

    re Generally Proportional to Lf, k

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    Cox et al SPE 98035

    Practical Limit Exists for Geometry and low k

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    Cox et al SPE 98035

    Synopsis for Accurate EvaluationSynopsis for Accurate Evaluation

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    Industry Acceptance and Time Constraints RequireMostly Traditional Decline Analysis

    Volumetrics Must be Augmented with Core Data,Analogy, Information from More AdvancedMethods or Insights from Performance particularlyat Lower Permeability

    Advanced Methods are useful for ObtainingK, S, or Xf for Transient Flow

    OGIP for Boundary Dominated Flow andsometimes Linear Flow

    For OGIP, Confirm from Several Methods or withReservoir Simulation or Analytical Model

    Your Most Powerful ToolsYour Most Powerful Tools

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    Peer Reviews!

    Integrated Methodology

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