Casing Design - Jimmy Wang

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    Casing Design

    University of Petroleum,China

    By Jimmy Wang

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    Content

    section 1 functions of casing

    section 2 casing types

    section 3 strength properties

    section 4 casing specification

    section 5 casing design

    section 6 other considerations

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    The general picture of casing

    After this topic, we should know the

    following:

    1 the functions of oil well casing

    2 the various types of casing strings

    3 the procedure used in the design of

    casing strings

    Purpose

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    Casing

    Casing string

    Surface casing

    Intermediate casing

    Production casing

    Liner

    Drilling liner

    Tube

    Formation

    Tensile force

    Collapse strength

    Collapse pressure

    Collapse resistance

    Burst strength

    Burst pressure

    Burst resistance

    Compression load

    Pressure coefficient

    Technical words

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    section 1 Functions of Casing

    1 to keep the hole open and to provide a

    support for weak, or fractured formations;

    2 to isolate porous media with different

    fluid/pressure regimes from contaminating the

    pay zone;

    3 to prevent contamination of near-surface

    freshwater zones;

    Can you give

    some functions?

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    4 to provide a passage for hydrocarbon

    fluids;

    5 to provide a suitable connection for

    the wellhead equipment ;

    6 to provide a hole of known diameter

    and depth to facilitate the running of

    testing and completion equipment.

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    section 2 Casing Types

    1 the necessity of classification

    (1) the presence of high-pressured zones at

    different depths;

    (2) the presence of weak, unconsolidated

    formations or sloughing shaly zones

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    2 the classification of casing

    (1) Stove pipeA. Functions

    a. To prevent washout of near-surface

    unconsolidated formations ;

    b. To provide a circulation system for the

    drilling mud ;

    c. To ensure the stability of the ground surface

    upon which the rig is sited.

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    B. Sizefrom 26 in to 42 in

    C. feature

    a. cannot carry any wellhead equipment

    b. can be driven into the ground with a pile

    driver.

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    (2) Conductor pipe

    A. Functions

    a to protect nearsurface unconsolidated

    formations;

    b to seal off shallow-water zones;c to provide a circuit for the drilling mud ;

    d to protect the foundations of the

    platform(offshore).B. Size

    from 18 5/8 in to 30 in

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    C. Setting depth

    from the surface to some shallow depth

    D.Features

    a one or more BOPs may be mounted on this

    casing;

    b always cemented to the surface;

    c either to support the subsequent casing

    strings and wellhead , or simply cut at the

    surface after setting the surface casing.

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    (3) Surface casing

    A. Functions

    a to prevent caving of weak formations that

    are encountered at shallow depths.

    b to ensure that the formations at the casing

    shoe will not fracture at high hydrostaticpressures which maybe used later.

    c to prevent shallow blowouts as drilling

    process.

    B. Size

    13 3/8 in(in the Middle East)

    18 5/8 in or 20 in (in North Sea)

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    C. Setting depth

    chosen to protect troublesome formations, thief

    zones, water sands, shallow hydrocarbon zones

    and build-up sections of deviated wells.

    D. Feature

    BOPs are connected to the top of the string

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    (4) Intermediate casing

    A. Functions

    a to seal off a severe-loss zones;

    b to protect problem formations,such assalt sections or caving shales;

    c to prevent communication behind the

    casing between the lower hydrocarbon

    zones and upper water formations.

    B. Size

    the most common size is 9 5/8 in

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    C. Setting depth

    usually set in the transition zone below or above an

    over-pressured zone

    D. Feature

    a good cementation of the casing must be ensured

    b multistage cementing may be used to cement long

    strings of intermediate casing

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    (4) Production casing

    A. Functions

    a to isolate producing zones;

    b to provide reservoir fluid control

    c to permit selective production in mutizone

    production.

    B. Size

    the normal size is 7 in

    C. Feature

    a the last casing string;

    b the well will be completed through the

    string.

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    (4) Liner casing

    A. Introduction of liner casing

    a not to reach the surface;

    b hung on the intermediate casing

    B. Setting depths

    set at the bottom and hung from the intermediate casing

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    C. Advantages:

    a total costs of the production string is reduced;

    b running and cementing times is reduced ;

    c the length of reduced diameter is reduced.

    D Disadvantages:

    a possible leak across a liner hanger;

    b difficulty in obtaining a good primary cementation due

    to the annulus between the liner and the hole.

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    section 3 Strength properties

    Casing strength properties are normally

    specified as:

    (1) yield strength

    (2) collapse strength

    (3) burst strength

    Strength

    properties

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    1 yield strength

    Load-elongation graph

    A

    B

    C

    Yield strength

    Ultimate strength

    Fracture strength

    Load

    O Elongation

    (1) O-A-B

    This part is a straight line and can be called as the

    elastic range.

    Strength

    properties

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    Hookes law is only applicable to this portion:

    =E (3-1)

    Where =applied stress=load/cross-section area

    E = Youngs modulus

    =deformation=elongation/original length

    A. to result in no damage to the internal structure;

    removal of the load will resume its original shape and

    length.B. Point B is defined as yield strength.

    Strength

    properties

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    Note:

    when quoting the strength of the casing, it iscustomary to use the yield strength of casing.

    API define the yield strength as the tensile stressrequired to produce a total elongation of 0.5% of the

    gauge length.

    Strength

    properties

    (2) B-C

    to result in a change in the internal structure and in a

    loss of strength;

    removal of the load will not resume its original shape

    and length.

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    (3) Axial tension

    Ften= yieldAs (3-2)

    Ften=(/4) yield(dn2-d2) (3-3)

    Strength

    properties

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    Compute the body-yield strength for 20-in, K-55 casing with

    a nominal wall thickness of 0.635 in and a nominal weightper foot of 133 lb/ft.

    Solution. This pipe has a minimum yield strength of 55,000

    psi and an ID of

    d=20.00-2(0.635) = 18.730 in.

    Thus, the cross-sectional area of steel is

    As=(/4)(202-18.732)=38.63 sq in.

    and minimum pipe-body yield is predicted by at an axial

    load of

    Ften =55,000(38.63)=2,125,000 lbf.

    Example

    Strength

    properties

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    2 collapse strength

    (1) Concept

    Collapse strength is defined as the

    maximum external pressure to

    collapse a specimen of casing.

    (2) Types

    A. Elastic collapse: specimen fails

    before it deforms.

    B. Plastic collapse: specimen

    deforms before it fails.

    Strength

    properties

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    Strength

    properties

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    (3) Elastic collapse

    The elastic collapse pressure Pc

    , can be determined

    from the following formula:

    Where E: Youngs modulus of steel;

    : Poissons ratio;

    t: casing thickness;

    D: the outside diameter of casing

    (3-4)Strength

    properties

    bar

    t

    D

    t

    D

    EPc 22

    1

    1

    1

    2

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    In Imperial units, E=30106psi and =0.3; hence theequation (3-4) simplifies to

    psi

    t

    D

    t

    DPc 2

    6

    1

    1095.46

    In metric units, the equation (3-4) becomes

    bar

    t

    D

    t

    DPc 2

    6

    1

    10198.2

    (3-5)

    (3-6)

    Strength

    properties

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    (4) Plastic collapse

    The minimum collapse pressure Pp in the plastic range maybe determined from the following equation :

    Where A,B and C are constants depending on the grade of

    steel used and Y is yield strength.

    (3-7)CBtD

    AYPp

    /

    Strength

    properties

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    (5) Transition collapse pressure

    The collapse behavior PT, in the transition zone between

    elastic and plastic failure is described by the following

    formula:

    (3-8)

    Where F and G are constants can be given by A,B and C.

    psiGtD

    FYPT

    /

    Strength

    properties

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    3 Burst strength

    (1) Concept

    defined as the maximum value of internal

    pressure required to cause the steel to yield.

    (2) The minimum burst pressure for a casing can begot by the following Barlows formula:

    D

    YtP

    br

    2875.0

    The coefficient 0.875 can be deduced if the imperial

    units are used in the above equation.

    (3-9)

    Strength

    properties

    Example

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    ExampleCompute the burst-pressure rating for 20-in,K-55

    casing with a normal wall thickness of 0.635 in

    and a normal weight per foot of 133 lb/ft.

    Solution

    The burst-pressure rating is computed by use of the

    above equation.

    Pbr=0.8752550000.63520=3056 psi

    Rounded to the nearest 10psi, this value becomes

    3060psi. This burst-pressure rating corresponds to the

    minimum expected internal pressure at which permanent

    pipe deformation could take place, if the pipe is subjected

    to no external pressure or axial loads.

    Strength

    properties

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    E. The types of liner

    a drilling liners: to isolate lost circulate or abnormally

    pressured zones to permit deeper drilling

    b production liners: to replace a full casing to provide

    isolation across the producing or injection zones

    c tie-back liner: a section of casing extending upwards

    from the top of an existing liner to the surface or

    wellhead

    d scab liner: used to repair existing damaged casing

    e scab tie-back liner:a section of casing extending from

    the top o fan existing liner.

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    section 4 Casing specification

    Casing specification is referred to the

    following parameters:

    a. Outside diameter and wall thickness;

    b. Weight per unit length;c. Type of coupling and thread;

    d. Length of joints;

    e. Grade of steel.

    Casing

    specification

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    1 Outside diameter and wall thickness

    Different depths

    Different pressure

    Different diameter

    and wall thickness

    Economy

    Casing

    specification

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    2 Weight per unit length

    API defines three types of casing weight :

    (1) nominal weight;

    (2) plain end weight;

    (3) threaded and coupleded weight.

    Casing

    specification

    (1) i l i ht

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    (1) nominal weight

    Used for the purpose of identification of

    casing types during ordering.

    Expressed in lb/ft or kg/m.

    Not exact weights and normally based on

    the calculated, theoretical weight per

    foot for a 20ft length of threaded or

    coupled joint.

    Casing

    specification

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    Nominal weight,Wn , is calculated from

    the following formula:Wn=10.68(D-t)t+0.0722D

    2 lb/ft

    whereD: outside diameter, in;

    t: wall thickness, in.

    (4-1)

    Casing

    specification

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    (2) plain end weight

    The plain end weight is the weight isthe weight without the inclusion of

    threads and couplings.

    The plain end weight can be calculatedby use of the following formula,taken

    from API Standards:

    Wpe=10.68(D-t)t lb/f twhereD: outside diameter, in;

    t: wall thickness, in.

    (4-2)

    Casing

    specification

    (3) threaded and coupleded weight

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    (3) threaded and coupleded weight

    The threaded and coupleded weight is the

    average weight of a joint including the threadsat both ends and a coupling at one end when

    power-tight.

    It can be calculated by use of the following formula:

    W=(20-(NL+2J)/24)Wpe+weight of coupl ing-weight r emoved in threading two pipe end

    20

    Where W=threaded and coupled weight (lb/ft);

    NL=coupling length (in);

    J=distance from end of pipe to center of coupling in the

    power-tight position (in);

    Wpe=plain end weight.

    (4-3)

    Casing

    specification

    3 T f li d th d

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    3 Types of coupling and thread

    A coupling is a short section of casing and isused to connect two casing joints.

    A casing joint is externally threaded at both

    ends. The most common type of coupling is

    internally threaded from each end.

    API specifies that a coupling should be of the

    same grade as the pipe body.

    Casing

    specification

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    In general, the casing and coupling are specified by the type

    of threads (or connection) cut in the pipe or coupling.

    API defines three principal elements of thread:

    (1) thread height or depth, defined as the distance between

    the thread crest and the thread root measured normal to

    the axis of the thread;

    (2) lead, defined as the distance from one point on a threadto a corresponding point on the adjacent thread, as

    measured parallel to the thread axis;

    (3) taper, defined as the change in diameter of a thread

    expressed in inches per foot of thread length;

    (4) thread form-- most casing threads are squared or V-

    shaped.

    Casing

    specification

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    The following are the most widely used connections.

    (a) API 8 round thread;

    (b) Buttress thread;

    (c) VAM thread;

    (d) Extreme line threaded coupling;

    (e) Buttress double seal (BDS) thread.

    Casing

    specification

    Casing

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    Casing

    specification

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    VAM thread configuration

    Casing

    specification

    4 Length of joint

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    4 Length of joint

    API has the specified three ranges in which a

    pipe length must lie.These are as follows:

    Range Length (ft) Average

    length (ft)1 16-25 22

    2 25-34 31

    3 Over 34 42

    Casing

    specification

    5 Grade of steel

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    5 Grade of steel

    API lists eight different grades of casing,as

    follows:

    Casing

    specification

    6 The failure modes of casingCasing

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    6 The failure modes of casing specification

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    section 5 Casing design

    Casing design is influenced by the following factors:

    a. The loading conditions during drilling and

    production;

    b. The strength properties of the casing seat and ofavailable casing;

    c. The degree of deterioration to which the pipe will be

    subjected during the entire life of the well;

    d. The requirements of completion and production;e. Safety;

    f. Economy;

    g. The availability of casing.

    Casing

    design

    1 Design criteria

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    1 Design criteria

    A tensile force

    (a) originate from casing-own-weight,bending

    forces, and shock loading.

    (b) the weakest point is located at the uppermost

    joint of the string.

    Casing

    design

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    B Collapse pressure

    (a)Originate from the column of mud

    (b) Collapse pressure

    C=m gh

    Where m : mud density

    h: depth; g: acceleration due to gravity.

    (c) the collapse is zero at the top;

    the collapse is the highest at the bottom

    (d) The collapse pressure never exceeds the

    collapse resistance.

    (5-1)

    Casing

    design

    Casing

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    C Burst pressure

    (a) normally based on the maximum formation pressure

    that can be encountered during the drilling of next holesection.

    (b) At the top it is the highest.

    At the bottom it is the least.

    D Compression load

    (a) Originate when casings carry inner strings.

    (b) Since production casings don not carry inner strings,

    they dont develop any compression load.

    Casing

    design

    E Other loadings

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    E Other loadings

    (a) bending with tongs during make-up;

    (b) pull-up of the joint and slip crushing

    (c) corrosion and fatigue failure of the body and

    threads;

    (d) pipe wear due to running wire line tools andstring assembly;

    (e) additional loadings strings treatment operations

    such as squeeze-cementing ,acidising and hydraulicfractures.

    Casing

    design

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    F Conclusions

    (a) Only tensile force, collapse pressure,burst pressure

    and compression load will be considered in the design.

    (b) Other loadings,with the exception of (e) cannot bedetermined directly and be accounted for through the

    use of safety factors.

    Casing

    design

    2 S f t f tCasing

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    2 Safety factors

    Casing design is not an exact technique, because of the

    uncertainties in the determining the actual loadings and

    also because of the change in casing properties withtime,resulting from corrosion and wear.

    A safety factor is used to allow for such uncertainties in

    the casing design and to ensure that the rated

    performance of the casing is always greater than anyexpected loading.

    Usual safety factors are:

    collapse: 0.85---1.125

    burst: 1---1.1

    tension: 1.61.8

    design

    3 combination stringsCasing

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    3 combination strings

    From the above table, the requirements for burst andtension criteria are different from the requirement for

    collapse .

    Hence a compromise must be reached when designing

    for casing.

    How to reach the compromise?

    Maximum

    tension

    Maximum

    Burst pressure

    Maximum

    collapse pressure

    At the top

    High grade or

    heavy casing

    At the top

    High grade or

    heavy casing

    At the bottom

    High grade or

    heavy casing

    design

    Thi i i hi d i th f f bi ti

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    This compromise is achieved in the form of a combination

    string. In other words,casing of various grades or different

    weights are used at different depths of a hole.

    top

    middle

    bottom

    Strong and heavy casing

    Light yet heavy casing

    Heavy casing

    The combination string method represents the most

    economical way of selecting casing consistent with safety.

    Well hole

    Casing

    design

    4 Biaxial effects C i

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    4 Biaxial effects

    (1) Concept

    The combination of stress due to the weight of thecasing and external pressure are referred to the

    Biaxial stresses.

    (2) The ellipse of plasticity

    Holmquist and Nadia in 1939 give the equationabout the relationship for the effect of axial stress on

    collapse or burst .

    yieldrztrrt 2)()()(

    222

    (5-2)

    Where r ,t ,and z are the radial, tangential ,and verticalstresses, respectively.

    Casing

    design

    h b i d h i d

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    From the above equation and other equation and we can

    deduce the following equation :

    yield

    iz

    yield

    iz

    yield

    it ppp

    2

    1

    4

    31

    2

    (5-3)

    Casing

    design

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    Conclusion

    Axial tension has a detrimental effect on

    collapse-pressure rating and a beneficial

    effect on burst-pressure rating.

    Axial compression has a detrimental effect

    on burst-pressure rating and and a beneficial

    effect on collapse-pressure .

    Casing

    design

    5 Graphic method for casing design

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    5 Graphic method for casing design

    The method is first described in 1965 in a series of articles by

    Goins et al and has been adopted by many oil companies.

    (1) Collapse line

    A determined as follows:

    (a) calculate the external load due to the mud column,H;

    (b) calculate the internal load due to the mud inside the

    casing, H1;

    (c) calculate the collapse pressure C, as the difference

    between H and H1,

    C=H-H1

    B Join the zero coordinates at the surface with the

    value of C at the casing shoe to get thepressure---

    depth graph.

    (5-4)

    Casing

    design

    (2) Burst line C i

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    (2) Burst line

    A determined as follows:

    (a) calculate the external load due to an assumed mud

    column of 0.465psi/ft.

    (b) calculate the internal load to the formation pressure.

    (c) calculate the burst pressure as the difference

    between (a) and (b).

    Casing

    design

    B

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    a at the shoe

    external pressure=CSDGm

    internal pressure=Pf(TDCSD)G

    burst = internal pressure external pressure

    = Pf

    (TDCSD)G CSDGm

    b at the surface

    external pressure=0

    internal pressure=Pf

    TD

    Gburst = PfTD G

    (5-5)

    (5-6)

    Casing

    design

    Where G=gradient of formation fluid;

    Gm=the gradient of mud.

    (3) Tensile forces

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    (3) Tensile forces

    A determined as follows:

    (a) calculate the weight of casing in air;

    (b) calculate the buoyancy force;

    (b) to calculate total tensile loads and compare them

    with the joint or pipe body yield values when the casing

    is finally chosen.

    (c) calculate the bending force in deviated wells;

    (d) calculate shock loads due to arresting casing.

    B considerations in selection of casing

    (a) to check that the casing can carry its own weightin mud in the initial selection;

    (b) to calculate total tensile loads and compare them

    with the joint or pipe body yield values in the final

    selection.

    Casing

    design

    Example 1

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    Example 1

    Question:The following three grades of 133/8 in (340 mm)casings are available in a company store. It is required to run a

    combination string based on collapse and tension only. The casing is

    run in 67 pcf(1.0734 kg/l) mud to 6200 ft (1890 m). Safety factors

    are 1.8 for tension and a minimum of 0.85 for collapse.

    Grade Weight Collapse Yield strength

    lbm/ft psi 1000 lb

    body coupling

    K55 54.5 1130 853 636

    K55 68 1950 1069 1300L80 72 2670 1661 1693

    Joint type: LTC for K55, 54.5 lb/ft and BTS for remaining grades.

    Casing

    design

    SolutionC i

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    (1) Collapse

    Collapse pressure=676200/144=2884.7 psi

    On a graph of depth against pressure draw a collapse

    pressure line between zero at surface and 2885 psi at 6200

    ft. Draw the collapse resistances of the three grades as

    vertical lines, as shown in the next Figure .

    From the Figure, selection based on collapse is as shown

    in the next page table. (Note: Minimum safety factor in

    collapse=collapse resistance of casing divided by collapse

    pressure of mud column.)

    Casing

    design

    Note that the last grade was only suitable down to a depth of 5400 ft for

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    a safety factor of 1.However, since a minimum safety factor of 0.85 is to

    be used, this grade is suitable down to 6200 ft,with the lowest safety

    factor being 0.93 at TD. Above 6200 ft the safety factor value in

    collapse increases and assumes a maximum value of

    =1.7

    Depth Grade and weight Length of section Minimum safety factor

    0-2500 ft K55, 54.5 Ibm/ft 2500 ft 1

    2500-4200 ft K55, 68 Ibm/ft 1700 ft 1

    4200-6200 ft L-80, 72 lb/ft 2000 ft 184/(1840*0.1053)=0.93

    1950

    (2500*67/144)

    Casing

    design

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    design

    (2) TensionCasing

    design

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    ( )

    Casing-carrying capacity must be checked from the bottom joint to the

    surface. Two values of yield strength are given in the table of strength

    properties. One specifies the yield strength of pipe body and the other the

    yield strength of the coupling. The lower of these two values is used for the

    calculation of the safety factor in tension. Therefore, starting from the

    bottom, see table below.

    design

    Si i i f f f 1 8 i b d i i

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    Since a minimum safety factor of 1.8 is to be used in tension,

    the K55, 54.5 lbm/ft (81.2 kg/m) may be used if it is designed

    to carry a maximum weight, W, given by:

    1.8=6.36*1000/W

    W=353.33 lb

    Hence, usable weight of section of 54.5# = (Total weight which

    can be carried)(weight of lower casing grades)

    weight of section of 54.5#=353 333259 600=93 733 lb

    and

    length of usable section of K55,

    54.5#=93733lb/(54.5lbm/ft)=1720ft

    Casing

    design

    Casing

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    Remaining top length = 2500 - 1720 = 780 ft

    A heavy casing must be used for the top 780 ft. Try K55,68#(next heavy casing).

    Total weight that can be carried by the top joint of K55 is:

    = 353 333 + 78068 = 406 373 lb

    g

    design

    SF in tension for K55, 68# at top joint Casing

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    SF in tension for K55, 68# at top joint

    =1069*1000/406373=2.6

    Hence, the final casing selection, based on collapse and tension,is as follows:

    Casing

    design

    In exploration wells the designer often discards grades which give a

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    marginal safety factor. In fact, the above selection could well be simplified

    further to obtain added safety factors and to eliminate the risk of using the

    wrong joint in a critical section of the well. In this example grade K55,

    54.5# (81.2 kg/m), is the weakest grade and can therefore be eliminated

    from our selection. Hence, final selection can be made as follows:

    Casing

    design

    (4) Buoyancy

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    ( ) y y

    Consider a cylinder of 1m (or 1ft) in length, of density

    s ,which is fully immersed in a fluid of density ofm, of

    outside diameterdo and inside diameter ofdi.

    A

    Air weight of cylinder=

    or Wa=Ass g

    B

    Buoyancy force of cylinder=

    or Wm=Asm g

    gdd mio

    14

    22

    gdd mio

    14

    22

    (5-7)

    (5-8)

    Casing

    design

    C Casing

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    the effective or buoyant weight of the casing

    WB=Wa

    Wm

    =Wa(1m/ s)=WaBF

    where BF = (1m/ s) and is called buoyancy factor.(5-9)

    C s g

    design

    Example 2 Casingdesign

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    pQuestion:7 in (177.8 mm) casing, 26#(38.7 kg/m), is

    to be set at 17 000 ft (5182 m). If the internal diameter

    is 6.276 in (159.4 mm), determine the buoyancy forceand buoyancy factor assuming that the mud density is

    93.5 lbm/ft3(1.498 kg/l).

    Solution

    Weight of casing in air = 26 17 000 = 442 000 lb

    Buoyancy factor =(1m/ s)=(193.5/489.5)=0.895

    where density of steel = 489.5 lb/ft3 (7.85 kg/l)

    Buoyant weight of casing= 0.809 442 000 = 357 578 lb

    Buoyancy force = 442 000 - 357 578 = 84 422 lb

    design

    (5) Bending forceCasing

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    (5) e d g o ce

    Arise when casing is run in highly deviated wells or in

    wells with severe dog-leg problems.

    Assume:

    (1) a beam subjected to pure bending;

    (2) plane transverse sections will remain plane after bending;

    (3) the radius is large in comparison with the transverse dimensions;

    During the pure bending, the upper surface stretches and is in tension,

    while the lower surface shortens and is in compression .

    NA (neutral axis): a surface exists between the compressed and

    stretched surfaces and has no longitudinal deformation.

    design

    HJ at a distance y from NA and has the same length as KL at the NA.

    Aft b di th f HJ d f t f di R d i l d d

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    After bending the surface HJ deforms to an arc of radius R and included

    angle d.

    Thus the longitudinal strain,e, in the H`J` is

    R

    y

    Rd

    RddyR

    HJ

    HJJHe

    ((5-10)

    Casing

    design

    From Hooks law, we can get

    (5 11)

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    =Ee=Ey/R

    If the original length of the beam is L and the total deformation angle is

    , then

    NA=R=L

    (5-11)

    (5-12)

    From the above 2 equations, we can get

    =Ey/(L/)=E y/L (5-13)

    The maximum tensile stress occurs at the upper extreme

    end of the beam at y=D/2, where D is the diameter of thebeam. Thus,

    =E D/(2L) (5-14)

    Casing

    design

    Also bending force (FB)= A Casing

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    Also, bending force (FB)= A

    where A is the cross-sectional area.

    Hence, FB=EDA /(2L) (5-15)

    When is expressed in degrees, while the above formula becomes

    FB=EDA /(2L) *(/180) (5-16)

    Casing

    design

    Equation (3-19) in field units Casing

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    q ( )

    A imperial units

    E=modulus of elasticity of steel:30106

    psi;

    D=in; A=in2; L=ft; =degrees

    Therefore, FB=218.17102DA /L (5-17)

    In practice, the rate of change per 100ft is used to indicate the

    degree of dog-leg severity. Hence , replacing L by 100in equation(3-22)

    gives FB=218DA (5-18)

    FB=63DWN lb (5-19)

    Casing

    design

    metric unitsFB=63DWN lb (5-0)

    (6) Shock loads Casing

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    (6) Shock loads

    Significant shocks loading can develop if a casing string

    is suddenly stopped.Axial stresses result from sudden velocity changes

    changes in a manner analogous to water-hammer in a

    pipe caused by a sudden value closure.

    Elastic theory leads to the following equation for axialshock loads resulting from instantaneously stopping the

    casing:

    sz Ev (5-19)

    Wherezis the change in axial stress caused by the shock

    load, vis the change in pipe velocity, E is Youngsmodulus, ands is the density of steel.

    design

    After average values for Youngs modulus and steel density

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    are substituted ,this equation becomes:

    vz

    1780 (5-20)

    Wherez : psi

    v: ft/sec.

    Casing

    design

    Casing Design Example Casingdesign

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    An exploration well is to be drilled to a total depthof13 900 ft (4327 m). Relevant data are as follows.

    Drilling program:0-350 ft (107 m), 26 in (660.4 mm) hole

    350-6200 ft (1890 m), 171/2in (444.5 mm) hole

    6200-10 400 ft (3170 m), 121/4in (3l 1.2 mm) hole

    10 400-13 900 ft (4237 m), 8

    1

    /2in (215.9 mm) hole

    Casing program:20 in(508 mm) casing to be set at 350 ft (107 m)

    133/8in(339.7 mm) casing to be set at 6200 ft (1890 m)

    91/8in(244.5 mm) casing to be set at 10 400 ft (3170 m)

    7 in (177.8 mm) casing to be set at 13 900 ft (4237 m)

    The casing head housing will be installed on the 20 incasing. The 7 in casing will be run to the surface.

    Mud programme: Casingdesign

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    Down to 350 ft (107 m),

    mud weight is 65 pcf (1.041 kg/l)

    Down to 6200 ft (1890 m),

    mud weight is 67 pcf (1.073 kg/l)

    Down to 10400 ft (3170 m),

    mud weight is 73 pcf (1.169 kg/l)

    Down to 13 900 ft (4237 m),mud weight is 87 pcf (1.394 kg/l)

    Safety factors:Burst = 1.1

    Collapse = 0.85

    Tension = 1.8

    Formation fluid gradient:

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    0-6200 ft (1890 m), Pf= 0.465 psi/ft (0.105 bar/m)

    6200-10 400 ft (3170 m),Pf= 0.48 psi/ft (0.1086 bar/m)

    10 400-13 900 ft (4237 m), Pf= 0.57 psi/ft (0.1289 bar/m)

    The 12 in hole experiences a maximum dog-legseverity of3o/100 ft. Other sections of the well experiencenegligible deviation. Shock loads are to be included inthe design of 9 5/8 in and 7 in casing strings.For collapse, burst and yield strength values referto sometables.Design suitable casing strings for the given hole sizes,taking into consideration the available casinggrades andthe maximum expected pressures.

    Casing

    design

    solutionCasing

    design

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    1. Conductor pipe (20 in casing)This pipe is set at 350 ft (107 m) and will besubjected to formation pressure from the nexthole drilled to a depth of 6200 ft (1890 m). Itwill be assumed that no gas exists at thisshallow depth and kick calculations will bebased on a water kick situation in whichformation gradient is 0.465 psi/ft (0.105bar/m). Note that if gas is known to exist atshallow depths, it must be included in thecalculations.

    Collapse Casingdesign

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    Collapse pressure at surface = 0

    Collapse pressure at 350 ft =

    where mud weight is lbm/ft3.Therefore,collapse pressure at 350 ft

    65350/144= 158 psi (11 bar)

    mud weight depth144

    This pressure acts on the outside of the casingand for the worst possible situation assume thatthe casing is 100% evacuated (as is the case ina complete-loss circulation situation).

    Burst

    Casing

    design

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    Burst pressure = internal pressure- external pressurea) Burst at shoeFrom Figure 10.11,

    formation pressure at next TD = 62000.465or

    Pf = 2883 psi (199 bar)Internal pressure = Pf - (TD - CSD)G

    = 2883 - (6200 - 350)0.465= 163 psi (11 bar)

    where G = gradient of invading fluid= 0.465 psi/ft.External pressure=casing settingdepthmud gradient

    external pressure = (35065)/144= 158 psi (11 bar)

    Figure 10.11

    Burst at shoe = internal pressure- external pressure

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    = 163 - 158= 5 psi (0.4 bar)

    (b) Burst at surfaceBurst at surface = Pf TDG

    = 2883 62000.465= 0

    It should be noted that the zero values wereobtained as a result of the fact that a salt-water kickis considered. If instead a gas kick is considered, theburst pressure values at the shoe and surface will be2135 psi and 2140 psi, respectively.

    Casing

    design

    Selection

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    A graph is not normally required and selection is determined bycomparing the strength properties of available casing withexisting pressures.From Table 10.4 it can be seen that all the available gradeshave collapse and burst values above those calculated above.Hence, select grade K555, 94#,having collapse pressure= 520psi (36 bar), burst pressure=2110 psi (145 bar) and yieldstrength= 1 479 000 lb (6579 kN). It should be noted that gradeK55, 94# is the lightest and the cheapest of the three availablegrades.Since the casing head housing is installed on the 20 in casing,the latter will be subjected to compression forces resultingfrom the weights of subsequent casing strings.This casing will be checked later to determine whether it iscapable of carrying other casing strings.

    Casing

    design

    2. 133/8 in casing Casingdesign

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    This string is set at 6200 ft and will be subjected, in the event

    of a kick, to formation pressures from the next hole drilled to a

    TD of 10 400 ft.

    CollapseCollapse pressure at surface = 0

    Collapse pressure at 6200 ft(1890m)=676200/144

    =285psi(199 bar)

    The collapse line is drawn between 0 at the

    surface and 2885 psi at 6200 ft, as shown in Figure

    10.12.

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    Casing

    design

    From Table 10.5 the collapse resistances of the

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    available grades as adjusted for a safety factor of0.85 are as follows:The collapse resistance values are plotted asvertical lines, as shown in Figure 10.12

    Casing

    design

    Burst Casingdesign

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    Formation pressure from next TD= 10 4000.48

    = 4992 psi (344 bar)

    (see Figure 10.13).

    Burst at shoe = internal pressure- external pressureInternal pressure = Pf - (TD - CSD)G

    = 4992 - (10 400 - 6200)0.1

    = 4572 psi (315 bar)

    ( where G = gradient of invadingfluid, assumed to be gas having a0.1 psi/ft gradient)

    External pressure = CSD x 0.465

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    where 0.465 psi/ft is the gradient of mud outside thecasing. Therefore,

    external pressure = 6200 x 0.465= 2883 psi (199 bar)

    Thus,Burst at shoe = 4572 - 2883

    = 1689 psi (116 bar)Burst at surface = internal pressure

    - external pressureExternal pressure = 0Internal pressure = Pf - (TD) G

    Casing

    design

    Therefore,burst at surface = Pf - (TD)G

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    = 4992 - 10 4000.1= 3952 psi (273 bar)

    The burst line can now be drawn between 1689 psiatthe shoe and 3952 psi at the surface; see Figure10.12.

    From Table 10.5, of casing properties, the burstresistances of the available grades are givenbelow,together with adjustment for SF = 1.1.

    Casing

    design

    Selection

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    Selection should consider the lightest weightsfirst, as these grades are the cheapest. On the

    basis of collapse only, Figure 10.12 indicatesthat the given grades are suitable for thefollowing depths:

    0-3050 ft K55, 54.5#

    3050-4950 ft K55,68#

    4950-6200 ft L80, 72#

    On the basis of burst only, Figure 10.12 gives

    the following selection:

    0-2400 ft L80, 72#

    2400-4200 ft K55, 68#

    4200-6200 ft K55, 54.5#

    Casing

    design

    When selection is based on both collapse and

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    burst,Figure 10.12 indicates that grade K55,54.5#does not satisfy the burst requirement from 0

    to 4200 ft. Also,grade K55, 68# does not satisfyburst from 0 to 2400 ft.Hence, selection from 0 to2400 ft is limited to grade L80, 72#.

    Below 2400 ft, grade K55, 68# is suitable for

    collapse from 0 to 4950 ft and for burst from 2400ft to 4200 ft. Hence, the middle section consistsof K55,68#from 2400 to 4200 ft.

    The last section of hole can only be satisfied bygrade LB0, 72# in both collapse and burst; seeFigure10.12. Hence, selection based on collapseand burst is(see table below):

    Casing

    design

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    Note that grade K55, 54.5# has been rejected,since it does not satisfy both collapse and

    burst at once along any section of the hole.

    Tension If bending and shock forces are ignored, thesuitability of selected grades in tension can be checked bycomparing the weight in air carried by each section with its

    yield strength. For the 93 in and 7 in casing,effects ofbending and shock loading will be included and buoyantweight will be considered to reduce the possibility of over-designing. Hence, starting from the bottom, see table at thetop of next page.

    Casing

    design

    Weight of section grade and weight cumulative weight safety factor

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    (1000 lb) (1000 lb) =yieldstrengthcumul

    ative weight

    144.0 L80,72# 144.0 1650/144=11.5

    122.4 K55,68# 266.4 835/266.4=3.13

    172.8 L80,72# 439.2 1650/439.2=3.8

    Note that yield strength values are obtained from the givenTable as the lowest value of either the body or couplingyield strength.

    The safety factor must, at least, be equal to the requiredvalue of 1.8 if any of the selected grades is to satisfy thecriterion of tension. The table overleaf produces values ofSF of greater than 1.8, which indicates that the gradessatisfy collapse, burst and tension.

    Casing

    design

    Pressure testing After the casing is landed and cemented, itis the practice to test the casing prior to drilling thecasing shoe. The testing pressure employed by some operating

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    casing shoe. The testing pressure employed by some operatingcompanies is 60% of the burst rating of the weakest grade ofcasing in the string.Hence,testing pressure of 133 in

    = 60% x burst pressure of K55, 68//

    = 60% x 3450

    = 2070 psi (143 bars)

    During pressure testing an extra tensile force is exerted onthe casing and the SF should, again, be > 1.8 for the topjoint (or the joint of weakest grade). Hence,total tensileforce during pressure testing at top joint

    = buoyant weight of casing

    + tensile force due to pressure testing

    =weightin airBF + (/4) (ID)2testing pressure

    Casing

    design

    BF=(1 / )=1 67/489 5=0 863

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    BF=(1m/ s)=1-67/489.5=0.863

    From the given table we can get the inside diameter of L80,72# as 12.347 in (313.6 mm).

    Therefore,

    total tensile force = (439.2 x 0.863) 1000

    + (/4) (12.347)2 2070

    = 379 030 + 247 847

    = 626 877 lb

    SF in tension for top joint = 1 661 000/ 626 877

    =2.65

    Casing

    design

    Biaxial effects Check the weakest grade of selectedcasing for biaxial effects as follows.

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    g

    Tensile ratio = weight carried by weakest joint

    yield strength of body (or coupling)Weakest grade selected is the K55, 68#, having a body yieldstrength of 1 069 000 lb and a coupling strength(LTC) of835000 lb.

    Hence,

    tensile ratio =266.41000/835000=0.319

    For a tensile ratio of 0.319, Table 10.8 showsthat the collapse resistance of the casing is

    reduced to approximately 80% of its original(under zero load) value.Hence, collapse resistanceof K55, 68# = 0.81950

    under biaxial loading = 1560 psi(108 bars)

    Casing

    design

    Collapse pressure due to mud at 2400 ft (i.e. topjoint of grade of the K55 68#)

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    joint of grade of the K55, 68#)

    =672400/144=1117 psi(77bars)

    Therefore,

    SF in collapse for top joint of K55, 68#

    =collapse resistance collapse pressure

    =1560/1117

    =1.4

    Final selection

    Depth Grade and weight

    0-2400 ft (732 m) L80, 72#(107 kg/m)

    24004200 ft (1280 m) K55, 68#(101 kg/m)

    4200-6200 ft (1890 m) L80, 72#(107 kg/m)

    Casing

    design

    3. 9 5/8incasing

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    The 95/8in casing is set at 10400 ft and willbe subjected, in the event of a kick, to

    formation pressures from the next hole drilledto a TD of 13 900 ft.

    Collapse

    At surface

    collapse pressure = 0

    At shoe

    collapse pressure =7310400/144

    = 5272 psi (363.5 bars)

    Draw a line between 0 and 5272 psi as shown inFigure 10.14.

    Casing

    design

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    From Table 10.6 collapse properties ofavailablecasing are as follows:

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    Grade Weight (lbm/ft) Collapse pressure

    SF = 1 SF = 1.1C75 43.5 3750 3750/1.1=4412

    L80 47.0 4750 4750/1.1=5888

    C95 53.5 7330 7330/1.1=8624

    The above collapse resistances can be drawn as vertical lines,

    as shown in Figure 10.14.

    Casing

    design

    Burst

    The 95/8in casing will be subjected in the event of a kick

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    The 9 /8in casing will be subjected in the event of a kick,to a formation pressure of:

    0.57 psi/ft13 900 ft = 7923 psi (546 bar)

    Burst at shoe = internal pressure

    - external pressure

    Burst at shoe = [Pf - (TD - CSD) x G]

    - CSD 0.465

    A gas kick is considered for this string; thus, G = 0.1psi/ft.

    Therefore,

    burst at shoe = 7923 - (13 900 - 10 400)

    0.1 - 10 4000.465

    = 2737 psi (189 bars)

    (where TD = next hole depth = 13 900 ft).

    Casing

    design

    Burst at surface = Pf TDG

    Therefore,

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    Therefore,

    Burst at surface = 7923 - 13 9000.1

    = 6533 psi (450.4 bar)

    The burst line can now be plotted between 6533 psi at thesurface (i.e. at zero depth) and 2737 psi at 10 400 ft,asshown in Figure 10.14

    From Table 10.6 burst pressures of available gradesof 9~ incasing as adjusted for an SF = 1.1 are:

    Grade Weight (lbm/ft) Collapse pressure

    SF = 1 SF = 1.1

    C75 43.5 5930 5390/1.1=5391L80 47.0 6870 6870/1.1=6245

    C95 53.5 7330 9410/1.1=8555

    Burst resistance lines are plotted, as shown in Figure10.14.

    Casing

    design

    Selection based on collapse and burstF Fi 10 14 l ti b d ll d

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    From Figure10.14, selection based on collapse andburst is as shown at the table.

    Buoyant weight of casing = 474.75BF

    BF= 173/489.5 =0.851

    Buoyant weight of casing = 474.75 0.851

    = 404.012 1000 lbCasing

    design

    Tension The suitability of the selected gradesintension will be investigated by considering the

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    g y gtotal tensile forces resulting from casing buoyantweight,bending force and shock load. Starting from

    the bottom, the weight carried by each section canbe calculated, as follows:

    Depth (ft) Weight of each section Weight in air carried( 1000 lb) by top joint of each

    section

    10 400--8700 79.90 79.90

    8700-3200 239.25 79.90 + 239.25 = 319.153200-800 112.80 319.15 + 112.8 = 431.95

    800-0 42.80 431.95 + 42.8 = 474.75

    Casing

    design

    By use of the equations

    bending force = 63 D W

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    bending force = 63 D WN

    drag force = 3200 WN

    where WN is the weight per unit length, Table10.10 can be constructed. Table 10.10 shows thatall the selected grades satisfy the tensionrequirement.

    Casing

    design

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    Pressure testingTesting pressure

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    = 60% of burst pressure of lowest grade (C75, 43.5#)

    = 0.6 5930

    = 3558 psi (245 bar)

    During pressure testing, an extra tensile force is generatedand selected grades with marginal SF should be checked. At800 ft grade L80, 47# has the

    lowest SF of 1.8 (see Table

    10.10); hence, this gradeshould be checked.

    During pressure testing,

    total tensile force

    = buoyant load+ tensile force due to pressure testing

    From table 10.10,

    buoyant force at 800 ft = 361.21(1000 lb)

    Casing

    design

    Total tensile load at 800 ft

    = 361 21 100+ (/4)(8 681)2 3558

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    = 361.21 100+ (/4)(8.681)2 3558

    580.623 100

    SF in tension = 1086/580.623=1.87

    Biaxial effectsCheck the weakest grade selected.Grade C75, 43.5#is the weakest grade, carrying a total buoyantload of 248.41 1000 lb, as shown in Table 10.10.

    Tensile ratio =weight carried / yield strength

    =248.41/942

    =0.264

    Casing

    design

    From Table 10.8 it can be seen that, for a tensile ratio of0.264, the collapse resistance reduces to 84% of its

    i i l l H ll i t f C75 43 5#

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    original value. Hence,collapse resistance of C75, 43.5#under biaxial loading

    = 0.84 x 3750

    = 3150 psi (217.6 bar)

    SF in collapse= collapse resistance under biaxialloadingcollapse pressure at 3200 ft

    =3150 (733200/144)=1.94

    Final selection

    Depth Grade and weight

    0-800 ft (244 m) C95, 53.5# (79.7 kg/m)

    800-3200 ft (976 m) L80, 47# (70 kg/m)

    3200-9700 ft (2957 m) C75, 43.5# (64.8 kg/m)

    9700-10 400 ft (3170 m) L80, 47# (70 kg/m)

    Casing

    design

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    Casing

    design

    4. 7in casing

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    This string is set at 13 900 fi (4237 m).Collapse

    Collapse pressure at surface = 0Collapse pressure at 13 900 ft=8713900/14

    = 8398 psi (579 bar)

    This pressure acts on the outside of the casing,and for the worst possible situation assume thatthere is zero pressure inside the casing. Draw thecollapse pressure line, as shown in Figure 10.15,between 0 psi at the surface and 8398 psi at 13900 ft.

    Casing

    design

    Collapse resistances, from Table 10.7, are as follows:

    Grade Weight (lbm/ft) Collapse resistance

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    SF = 1 SF = 0.85

    K55 26.0 4320 4320/0.85=5082

    L80 29.0 7020 7020/0.85=8259

    C95 29.0 7820 7820/0.85=9200

    Collapse resistances can now be drawn as verticallines in Figure 10.15.

    Casing

    design

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    Casing

    design

    BurstBurst pressure = internal pressure

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    p p

    - external pressure

    (a) Burst at shoe

    Internal pressure = Pf = 0.57 13 900

    = 7923 psi (546.5 bar)

    External pressure = Gmud CSD

    For added safety, the external pressure resistinginternal pressure is assumed to be that of a mud columnoutside the casing, even though the casing is cemented.Also, the mud is assumed to deteriorate so that itsgradient decreases to that of salt water, largely becauseof settlement of solids. Hence,

    G = 0.465 psi/ft (0.1052 bar/m)

    Burst at shoe 7923 - 13 900 0.465

    = 1460 psi (100 bars)

    Casing

    design

    (b) Burst pressure at surface

    = internal pressure - external pressure

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    internal pressure external pressure

    7923 - 13 900

    gradient of invading fluid (assumed gas)

    = 7923 - 13 900 0.1

    6533 psi (450.4 bars)

    Worst conditions In practice, hydrocarbonproduction is carried out through a tubing (single

    or dual) sealed in a packer, as shown in Figure10.16. Thus, under ideal conditions only thecasing shoe will be subjected to burst effects.

    Casing

    design

    However, a situation may arise inpractice when

    the production tubing leaks gas to the7 in casing.

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    In this case, the surface pressure (6533 psi) isnow acting on the column of packer fluid betweenthe casing and the tubing; see Figure 10.16.

    Casing

    design

    Hence, burst calculations for production casing should bemodified as follows.

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    (a) Burst pressure at shoe = surface pressure + hydrostaticpressure of packer fluid -external pressure.

    Normally

    packer fluid - drilling mud = 87 pcf (1.394 kg/l)

    Burst at shoe = 6533 +8713900/144- 13 900 x 0.465

    = 8467 psi (584 bar)

    (b) Burst at surface = 6533 psi (450 bar)

    Note: All these calculations assume that there is no cementoutside the casing.

    Casing

    design

    The burst line is drawn between 6533 psi at thesurface and 8467 psi at 13 900 ft, as shown in

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    Figure10.15. From Table 10.7 burst resistances asadjusted for an SF of 1.1 for the available gradesare:

    Grade Weight (lbm/ft) Burst resistance

    SF = 1 SF = 1.1

    K55 26.0 4980 4980/1.1=4527

    LB0 29.0 8160 8160/1.1=7418

    C95 29.0 9690 9690/1.1=8809

    Adjusted burst lines (for SF= 1.1) can now bedrawn as vertical lines in Figure 10.15.

    Casing

    design

    Selection based on burst and collapseFrom Figure10 15 selection based on burst and

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    From Figure10.15 selection based on burst andcollapse is as follows:

    Depth (ft) Grade and weight

    0-6100 LB0, 29#

    6100-13 900 C95, 29#

    TensionThe suitability of selected grades in tensioncan be checked by considering the cumulative

    weight carried by each section. Hence, startingfrom the bottom, see the table in next page.

    Casing

    design

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    The above table considered the weight of casingsections in air only and a marginal safetyfactor of 1.68was obtained. This value is belowthe required SF of1.8 and it is instructive tocheck the suitability of this grade by addingthe effects of shock loading (bending effectsare assumed to be negligible) as shown inTable10.11.

    From Table 10.11 it is evident that grade L8029# is not suitable as a top joint. Furtherrefinement can be made when pressure testing isconsidered.

    Casing

    design

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    Pressure testingNormally, casing is tested to 60% of its mill burst pressure.

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    Taking the lowest grade (L80),therefore,

    test pressure = 0.6 x 8160 = 4896 psi (338 bar)

    The weakest joint is the top joint of the lowergrade.Therefore, load at top joint=buoyant weight of casing+ tensile force, resulting from extra pressure on inside ofcasing

    = Wair BF + /4(di)2 test pressure

    where di is the internal diameter of the casing = 6.184 inand BF = 1 -(87/489.5)= 0.822.

    Therefore,

    total load at surface

    = 0.822 x 403.1 1000 /4(6.184)2 4896

    = 478 400 lb

    Casing

    design

    Therefore,

    SF in tension during pressure test

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    g p=676000/478400= 1.41

    Thus, the top joint of L80 must be replaced by ahigher grade casing if the SF in tension of 1.8is to be maintained throughout the running andtesting of the casing. Hence, the maximum load, W,

    that L80 can carry and still produce an SF = 1.8is given by

    1.8=676 000/W

    Therefore,

    W= 375 556 lb

    Casing

    design

    Hence,

    weight of usable L80 section

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    weight of usable L80 section

    = total weight carried (W) - air weight of C95, 29#

    = 375 556 - air weight of C95, 29#

    = 375 556 - 226 200

    = 149 356 lb

    and

    usable length of L80, 29# = 149 356 lb/ (29 lb/ft )

    =55150ft

    Casing

    design

    From Table 10.11 the total tensile load at topjoint is still 424.15 1000 lb, since the two

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    different grades have the'same weight per foot of

    29. If the weights were different, thenanother table should be constructed.

    If grade C95 is used as the top section (950 ftlong),then

    SF at top joint = 803000424150 1.89

    (Note: Yield strength of C95, 29= 803 000 lb.)

    During pressure tests,

    SF803000/478400=1.68

    Casing

    design

    Thus, even with the higher grade, the SF duringpressure testing is still below 1.8. To maintain

    SF f1 8 d th t t b l 4896

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    an SF of1.8, decrease the test pressure below 4896psi. Hence,

    1.8=803000/(buoyant weight + tensile force due to pressure test )=803000/(331.348+(/4)(6.184)2P)

    where P is the required pressure test.Therefore, P= 3821 psi (263 bar).Hence, the new selection is:

    Depth (ft) Grade0-950 C95, 29#950-6100 L80, 29#

    6100-13 400 C95, 29#

    Casing

    design

    Biaxial effectsBi i l l di d ll i f

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    Biaxial loading reduces collapse resistance ofcasing and is most critical at the joints of the

    weakest grade. Two positions will be investigated.

    (a) At 950 ft

    tensile ratio

    =buoyant weight carried by top joint of L80/ yield strength

    tensile ratio (TR)

    =(13 900-950)29BF/676000

    = 0.46

    Casing

    design

    Table 10.8 shows that for a TR =0.46, collapseresistance reduces to 69% of its original collapsealue(i e under ero load) Therefore actual

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    value(i.e. under zero load). Therefore, actualcollapse resistance of LB0 = 0.69 x 7020 = 4844 psi

    SF in collapseat 950 ft

    =collapse resistance of casing collapse pressure of mud

    =4844 (87950/144)

    =8.4

    (b) At 6100 ft

    tensile ratio =154450/676000 = 0.23

    Table 10.8 shows that for a TR=0.23, collapseresistance reduces to 86% of its original value.Therefore, adjusted collapse resistance of L80 =0.86 7020= 6037 psi at 6100 ft

    Casing

    design

    SF in collapse at 6100 ft

    6037/(876100/144)

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    6037/(876100/144)

    =1.6

    Final selection

    Depth (ft) Grade and weight

    0-950 C95, 29#950-6100 LB0, 29#

    6100-13 900 C95, 29#

    Casing

    design

    section 6 other considerations

    1 Effect of hydrogen sulfide on casing

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    1 Effect of hydrogen sulfide on casingA Hydrogen embrittlement

    When hydrogen sulfide is present, the rate at which the

    hydrogen atoms (H) combine to form hydrogen gas (H2) is

    reduced. As a result, atomic hydrogen (H) may enter the

    metal at a significant rate before recombining. The presenceof this molecular hydrogen within the steel reduces its

    ductility and causes it to break in brittle manner rather than

    yield. This phenomenon known as hydrogen embrittlement.

    The resulting failure is called sulfide cracking.

    Water must be present for corrosion reaction to occur, whichgenerates hydrogen atoms. Dry hydrogen sulfide does not

    cause embrittlement.

    Other

    considerations

    B temperature effect on hydrogen embtittlement

    Other

    considerations

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    Hydrogen embrittlement is especially significant high-strength steels at low temperature. Common carbon steels with

    yield strengths below 90,000psi generally not fail by sulfide

    cracking for temperature above 100F.

    There is evidence that, as temperature increases, casing with a

    higher minimum yield strength than 90,000 psi can be used

    safely in wells that contain hydrogen sulfide in the produced

    fluids. In deep, abnormally pressured walls, a practical casing

    design is difficult to obtain without the use of some high-strength steel.

    Kant and Greer have presented the results of experimental laboratory and

    field tests of several steel grades that were exposed to hydrogen sulfide in

    varying concentrations, at various temperatures, and at various stress levels.

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    Shown in Fig. 7. i6 and 7.17 arc the maximum salt stress levels observed

    (expressed as percent of minimum yield strength) for various steel grades,hydrogen sulfide concentrations, and exposure temperatures.

    C incubation time

    Failure resulting from hydrogen

    b ittl t ft d t

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    embrittlement often do not occur

    immediately after exposure to

    hydrogen sulfide. A time period duringwhich no damage is evident is

    followed by a sudden failure. During

    the time period before failure,called

    incubation period, hydrogen is

    diffusing to points of high stress.Fig.7.18 shows test results of the time

    to failure for different RHNs

    (Rockwell hardness number) and

    different applied stresses. Fig. 7.19

    shows the effect of hydrogen sulfide

    concentration.

    Other

    considerations

    2 Effect of field handling on casing

    A Performance properties that a given joint of casing

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    A Performance propertiesthat a given joint of casing

    will exhibit in the field can be affected adversely by

    several field operations. For example, burst strength is

    affected significantly by the procedure and equipment

    used to make up the pipe.

    Tests have shown that burst strength can be reducedby as much as 70% by combinations of tong marks

    that penetrate 17% of the wall thickness and 4% out-

    ofroundness caused by excessive torque.

    Other

    considerations

    B Mechanical deformationscan also occur while the

    i i t t d t l ti hil it i i t th

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    casing is transported to location or while it is run into the

    hole. Any mechanical deformity in the pipe normally results

    in considerable reduction in its collapse resistance. This is

    especially true for casing with high dn/t ratios. A thinwall

    tube that is deformed by 1% out-of-round will have its

    collapse resistance lowered by 25%. Thus, the slightest

    crushing by tongs, slips, or downhole conditions diminishesthe collapse resistance by a significant amount.Some of the

    special hydrogen-sulfide-resistant casings,such as C90,

    can be stress-hardened by careless handling.If this occurs,

    the resistance to hydrogen embrittlement can be lost.

    Other

    considerations

    3 compression in conductor pipe

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    Since the conductor pipe carries the weight of

    other strings, it must be checked for compressionloading.The procedure is to determine the total

    buoyant weight of strings carried and then

    compare this with the yield strength of the

    conductor pipe. A minimum safety factor of 1.1

    should be obtained.

    In this analysis it is assumed that the tensile

    strength of casing is equal to its compressivestrength.

    Other

    considerations

    Example

    One submerged weight of 133/8 in, 95/8 in and 7 in strings

    Other

    considerations

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    One submerged weight of 13 /8 in, 9 /8 in and 7 in strings

    in a mud weight of 0.465 psi/ft, so that the worst casing is

    taken in account.

    Hence, BF=(10.465/3.39)=0.863

    where 3.39psi.ft is the pressure gradient of steel.

    Casing Air weight 1000lb

    13

    3

    /8 in 439.295/8 in 481.25

    7in 403.1

    Total air weight carried by conductor pipe

    =1317050 lb

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    3 7050 b

    Total buoyant weight carried by conductor pipe

    = 13170500.863

    =1136614 lb

    Yield strength of coupling of top joint of K55,94#=1479000

    Hence ,

    SF in compression= =1.3

    1479000

    1136614

    Other

    considerations

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    section 6 other considerations

    1 Effect of hydrogen sulfide on casing

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    1 Effect of hydrogen sulfide on casingA Hydrogen embrittlement

    When hydrogen sulfide is present, the rate at which the

    hydrogen atoms (H) combine to form hydrogen gas (H2) is

    reduced. As a result, atomic hydrogen (H) may enter the

    metal at a significant rate before recombining. The presenceof this molecular hydrogen within the steel reduces its

    ductility and causes it to break in brittle manner rather than

    yield. This phenomenon known as hydrogen embrittlement.

    The resulting failure is called sulfide cracking.

    Water must be present for corrosion reaction to occur, whichgenerates hydrogen atoms. Dry hydrogen sulfide does not

    cause embrittlement.

    Other

    considerations

    B temperature effect on hydrogen embtittlement

    Other

    considerations

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    Hydrogen embrittlement is especially significant high-strength steels at low temperature. Common carbon steels with

    yield strengths below 90,000psi generally not fail by sulfide

    cracking for temperature above 100F.

    There is evidence that, as temperature increases, casing with ahigher minimum yield strength than 90,000 psi can be used

    safely in wells that contain hydrogen sulfide in the produced

    fluids. In deep, abnormally pressured walls, a practical casing

    design is difficult to obtain without the use of some high-strength steel.

    Kant and Greer have presented the results of experimental laboratory and

    field tests of several steel grades that were exposed to hydrogen sulfide in

    varying concentrations, at various temperatures, and at various stress levels.

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    Shown in Fig. 7. i6 and 7.17 arc the maximum salt stress levels observed

    (expressed as percent of minimum yield strength) for various steel grades,hydrogen sulfide concentrations, and exposure temperatures.

    C incubation time

    Failure resulting from hydrogen

    embrittlement often do not occur

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    embrittlement often do not occur

    immediately after exposure to

    hydrogen sulfide. A time period duringwhich no damage is evident is

    followed by a sudden failure. During

    the time period before failure,called

    incubation period, hydrogen is

    diffusing to points of high stress.Fig.7.18 shows test results of the time

    to failure for different RHNs

    (Rockwell hardness number) and

    different applied stresses. Fig. 7.19

    shows the effect of hydrogen sulfide

    concentration.

    Other

    considerations

    2 Effect of field handling on casing

    A Performance properties that a given joint of casing

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    A Performance propertiesthat a given joint of casing

    will exhibit in the field can be affected adversely by

    several field operations. For example, burst strength is

    affected significantly by the procedure and equipment

    used to make up the pipe.

    Tests have shown that burst strength can be reducedby as much as 70% by combinations of tong marks

    that penetrate 17% of the wall thickness and 4% out-

    ofroundness caused by excessive torque.

    Other

    considerations

    B Mechanical deformationscan also occur while the

    casing is transported to location or while it is run into the

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    casing is transported to location or while it is run into the

    hole. Any mechanical deformity in the pipe normally results

    in considerable reduction in its collapse resistance. This is

    especially true for casing with high dn/t ratios. A thinwall

    tube that is deformed by 1% out-of-round will have its

    collapse resistance lowered by 25%. Thus, the slightest

    crushing by tongs, slips, or downhole conditions diminishesthe collapse resistance by a significant amount.Some of the

    special hydrogen-sulfide-resistant casings,such as C90,

    can be stress-hardened by careless handling.If this occurs,

    the resistance to hydrogen embrittlement can be lost.

    Other

    considerations

    3 compression in conductor pipe

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    Since the conductor pipe carries the weight of

    other strings, it must be checked for compressionloading.The procedure is to determine the total

    buoyant weight of strings carried and then

    compare this with the yield strength of the

    conductor pipe. A minimum safety factor of 1.1

    should be obtained.

    In this analysis it is assumed that the tensile

    strength of casing is equal to its compressivestrength.

    Other

    considerations

    Example

    One submerged weight of 133/8 in, 95/8 in and 7 in strings

    Other

    considerations

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    8 8

    in a mud weight of 0.465 psi/ft, so that the worst casing is

    taken in account.

    Hence, BF=(10.465/3.39)=0.863

    where 3.39psi.ft is the pressure gradient of steel.

    Casing Air weight 1000lb

    133/8in

    439.295/8 in 481.25

    7in 403.1

    Total air weight carried by conductor pipe

    =1317050 lb

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    Total buoyant weight carried by conductor pipe

    = 13170500.863

    =1136614 lb

    Yield strength of coupling of top joint of K55,94#=1479000

    Hence ,

    SF in compression= =1.3

    1479000

    1136614

    Other

    considerations

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