8-Casing Setting Depth Design

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    CASING SETTING DEPTHDESIGN

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    Casings are set in a drilled hole for one

    or more of the following reasons: to protect contamination of underground

    water formations,

    to prevent drilling problems such as holecollapse, differential sticking of pipes,

    to prevent fracturing of subsurface formations,

    to produce oil or gas from producing pay zoneor zones.

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    Three types of casings are used for these

    purposes:

    Surface casings,

    Intermediate casings (and liners),

    Production casings (and liners).

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    Surface casing setting depth:

    As a drilling engineer you will not be in a position

    to select a setting depth for surface casing.

    This depth is provided by the authorities of local

    government by considering depth of water table.

    Surface casings should be set deep enough so thatdrilling fluid can not contaminate underground

    fresh water sources by mud filtration.

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    Production casing setting depth:

    As a drilling engineer youwill not select setting depthfor a production casingstring.

    Production divisions of oilcompanies provide thisdata for you.

    They consider productionaspects of well such as payzone depth, well completiontype, etc.

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    You will bedesigning setting depthsfor intermediate casings considering

    safety of drilling only,

    Properly designed intermediate

    casings are the ones which help

    drilling engineer reach to specified

    targetsafely

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    Containing 20 bbl of gas kick means

    satisfing condition in the left figure

    Pinside

    < Pfrac

    @ shoe Pinside

    > Pfrac

    @ shoe

    Formations

    should never be

    fractured by

    internal

    pressures

    Safe

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    Avoiding differential sticking

    I nternal pressure

    should never exceed

    1000 psi formationpressure across

    permeable zones in

    order to avoid

    dif ferential sticking

    (Pmud

    -Pformation

    )1,000 psi

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    So, how do I select a setting depth

    for the next casing set ?

    You will be given

    a depth at which

    surface casing shoe

    will reside C.

    You need to determine

    maximum depth to

    which you can drill while

    satisfying previous two

    criteria D.

    This depth

    will be the setting depth

    for your next set of

    casings.

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    Procedure When you take 20 bbl CH4

    kick in the hole at D,

    pressure inside the hole

    at c must be less than

    formation fracture

    strength at C

    Pinside @ C

    = Pformation @ D

    - 0.052kiL

    ki

    - 0.052 MW (D-C-Lki

    )

    Pformation @ D

    = 0.052 (ePf @ D

    ) D

    ePf @ Dis pressure gradient (ppg) at D

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    Satisfy the first design criteria byselecting a formation, which will

    satisfy following condition:Pfr acture @ C

    Pinside @ C

    Note that, the formations getstronger as you drill deeper.

    Formation fracture gradients(ePff) can be determinedempirically as a function ofdepth (see the example).

    Pfr acture @ C

    = 0.052 (ePf f) C

    ePff @ C is fracture gradient (ppg)at C

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    Pfr acture @ C Pinside @ C

    0.052(ePff @ C

    ) C 0.052 (ePf @ D

    ) D-0.052kiL

    ki-0.052 MW (D-C-L

    ki)

    ( ePf @ D

    - MW ) [C (ePff @ C

    - MW) - Lki

    (MW -ki

    )] /D

    ePf @ D

    -MW is known as kick tolerance(KT)

    For a proper casing setting depth, the value of KT is recommended to be

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    0.052 ePff C 0.052 ePf D 0.052 L 0.052 MW D C L( )

    ePff C ePf D L MW D C L( )

    ePff C ePf D L MW D MW C MW L

    eP

    ff

    C MW C MW L L eP

    f

    D MW D

    C ePff MW L MW L L D ePf MW

    C

    DePff MW L

    DMW L L ePf MW

    KT C

    D

    ePff MW L

    D

    MW L L

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    Example

    The pore pressure for a projected well are determined as in the

    following table (see Dec 2000-newsletter). The surface casing is

    set at 5,100 ft. what is the maximum depth to which the second

    string may be set and maintain a kick tolerance of

    Kick Volume = 20 bbl

    Bit Size = 12 inch

    ODdp= 5 inch

    CH4kick

    DCs = 8 x 3, 360

    MW = pore pressure + 150 psi

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    Table of pore pressures

    I assume, you already know how to estimate formation pore

    pressures prior to drilling (see previous newsletter if you dont).

    Depth, ft Pore

    Pressure,

    psi0 0

    5,100 2 519.4

    7,800 3 853.2

    8,200 5 628.5

    12,000 8 236.8

    12,100 5 977.4

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    Calculate ePf = Pore Pessure/(0.052 x Depth)

    Depth, ft Pore

    Pressure, psi

    ePf

    ppg

    0 0 8.6

    5,100 2 519.4 9.5

    7,800 3 853.2 9.5

    8,200 5 628.5 13.2

    12,000 8 236.8 13.2

    12,100 5 977.4 9.5

    for depth=0, ePf= 8.6 ppg

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    Calculate over-burden stress (s) based on Ben Eatons data:

    Depth, ft Pore Pr.

    psi

    ePf

    ppg

    s

    0 0 8.6

    5,100 2 519.4 9.5 0.9097

    7,800 3 853.2 9.5 0.9332

    8,200 5 628.5 13.2 0.9363

    12,000 8 236.8 13.2 0.9611

    12,100 5 977.4 9.5 0.9617

    s = 0.84753 + 0.01494 D/1,000 - 0.0006 (D/1,000)2 + 1.199 x 10-5

    (D/1,000)3

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    Poissons ratio

    is the negative ratio of transverse to axialstrain. When a materialis compressed in

    one direction, it usually tends to expand in

    the other two directions perpendicular tothe direction of compression. This

    phenomenon is called the Poisson effect.

    Poisson's ratio (nu) is a measure of this

    effect. The Poisson ratio is the fraction (or

    percent) of expansion divided by the

    fraction (or percent) of compression, for

    small values of these changes.

    http://en.wikipedia.org/wiki/Strain_(materials_science)http://en.wikipedia.org/wiki/Materialshttp://en.wikipedia.org/wiki/Nu_(letter)http://en.wikipedia.org/wiki/Nu_(letter)http://en.wikipedia.org/wiki/Materialshttp://en.wikipedia.org/wiki/Strain_(materials_science)
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    Poissons Ratio (v) based on Ben Eatons data:

    Depth, ft Pore Pr. psi ePf

    ppg

    s v

    0 0 8.6

    5,100 2 519.4 9.5 0.9097 0.4088

    7,800 3 853.2 9.5 0.9332 0.4360

    8,200 5 628.5 13.2 0.9363 0.4384

    12,000 8 236.8 13.2 0.9611 0.4546

    12,100 5 977.4 9.5 0.9617 0.4545

    v = 0.23743 + 0.05945 D/1,000 - 0.00668 (D/1,000)2 + 0.00035

    (D/1,000)3

    - 0.671 x 10-5 (D/1,000)4

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    Finally, the formation fracture gradient, ePffcan be predicted

    empirically

    eP

    vv

    s eP eP

    ff

    f f

    10 052 0 052

    0 052

    . .

    .

    Depth,

    ft

    Pore Pr. psi ePf

    ppg

    s v ePff

    ppg0 0 8.6

    5,100 2 519.4 9.5 0.9097 0.4088 15.10

    7,800 3 853.2 9.5 0.9332 0.4360 16.03

    8,200 5 628.5 13.2 0.9363 0.4384 16.95

    12,000 8 236.8 13.2 0.9611 0.4546 17.60

    12,100 5 977.4 9.5 0.9617 0.4545 17.01

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    Remember, we are trying to find a value for D at which KT =

    KT [C(ePff @ C- MW) - Lki(MW- ki)]/D

    C = 5,100 ft and ePff @ C = 15.10 ppg

    Lki= 20 bbl/CapacityDC-H

    CapacityDC-H= 0.0836 bbl/ft

    Lki= 20 bbl / (0.0836 bbl/ft) = 239 ft

    since 239 ft < ldc(360 ft), Lki= 239 ft

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    Trial & error solution, assume D = 10,000. From 5,100 to 10,000 you

    will be drilling open hole. So you will design a MW such that the mud

    pressure must not fall below the maximum anticipated formation

    pressure in the open hole section.

    Determining the required MW

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    So, Mud Weight isselected as MW = 13.55ppg

    finaly, assuming methanekick, ki @ D= ?

    real gas law

    PV = z n RT

    PV = z (m/MW) RT

    P MW = z (m/V) RT

    P MW = z () RT

    ki@D= (P@DMW)/( z RT@D)

    molecular weight of CH4 (MW) = 16

    P@D= 0.052 (ePf @ D) D

    = 0.052 (13.2) 10,000

    = 6,864 psi

    T@D= 65 + (3of/1,000 ft) D

    = 65 + (3of/1,000 ft) 10,000

    = 95 of or (460+95 = 555 oR)

    R = 80.186

    z = a + (1-a) / eb+ c pprd

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    a = 1.39(Tpr- 0.92)0.5- 0.36 T pr- 0.101

    b = (0.62-0.23 Tpr) Ppr+ { [0.066/(Tpr- 0.86)] - 0.037 }Ppr

    2+ (0.32 Ppr6) / [10 9 (Tpr

    - 1)]

    c = (0.132 - 0.32 log Tpr

    )

    d = antilog (0.3106-0.49 Tpr+ 0.1824 Tpr2)

    Tpr= T/343,

    Ppr= P/667.8

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    T= 555

    P= 6,864

    Tpr= 1.62

    Ppr= 10.28

    A= 0.48

    B= 7.84C= 0.07

    D= 0.99

    Z= 1.13

    ki@10,000= (6,864x16)/(1.13x80.186x555 )

    ki@10,000= 2.184 ppg

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    substituting,

    C=5,100 ft Lki= 239 ft

    ePff @ C

    =15.1ppg ki@10,000= 2.184 ppg

    MW = 13.55 ppg D = 10,000 ft

    into [C (ePff @ C

    - MW) - Lki(MW -

    ki)] /D

    [5,100(15.1-13.55)-239(13.55-2.184)]/10,000 = 0.519

    0.519 > for your next iteration choose a greater depth (i .e. 10,500 ft).

    F inal ly, iterate unti l KT = .