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    Derrick Calculations

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    Derrick Calculations

    Use 3-1/2drill pipe

    5 drill collars

    Drill pipe (3/1/2, 9.5 lbf/ft)

    (From Applied Drilling Engineering, page 19, Chapter 1)

    ID = 2.992

    OD = 3.5

    Drill collars (5, 59 lbf/ft)

    (From Fundamentals of Drilling Engineering, page 587, Table 9.1, Mitchell, R. F. and Miska, S. Z)

    ID = 1-3/4

    OD = 5

    Drillstring weight at depth 5250

    Assume 30 length for the drill collars

    Type Amount Length

    (ft)

    Total Length

    (ft)

    Weight/ft Total Weight

    (lbf)DC 4 30 120 59 7,080

    DP 1 5130 5,130 9.5 48,735

    Total drill string weight 55,815 lbf

    With a safety factor (SF) of 1.5,

    Or

    Maximum load on derrick will be seen when running 7, 32 lbf/ft casing of 283,574.42 lbf

    (determined from the casing design calculation)

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    Tension in fast line can be calculated from the following equation:

    Where W is the load supported by the travelling block

    E is the efficiency

    n is the number of lines

    With W = 283,583.5 lbf,

    n E En Ff

    6 0.874 5.244 54,077.7

    8 0.841 6.728 42,149.7

    10 0.81 8.1 35,010.3

    12 0.77 9.24 30,690.9

    Tension in the dead line can be determined from the following equation:

    n fs

    6 47,263.9

    8 35,447.9

    10 28,358.4

    12 23,632.0

    The load of the derrick is determined from the following equation:

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    n Ff Fs W Fd Assuming

    SF=1.5

    6 54,077.7 47,263.9 283,583.5 384,925.1 577,387.7

    8 42,149.7 35,447.9 283,583.5 361,181.2 541,771.8

    10 35,010.3 28,358.4 283,583.5 346,952.2 520,428.2

    12 30,690.9 23,632.0 283,583.5 337,906.3 506,859.5

    If 6 lines were to be used , the rig needs to be capable of handling an anticiapted load of 580,000

    lbf.

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    Cement Calculations

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    Cement Calculations

    Starting with the surface casing

    Excess = 150%

    Hole size = 15

    Frac = Max Weight =

    From the Red Book (Halliburton)

    Looking at page 107, Section 122, under Vol. & Hgt. Between: Tbg., Csg., D.P. & Hole Tab,

    For 15 (hole) 10-3/4 (casing), gives

    Looking at page 25, Section 210, under Capacity Tab,

    For 10-3/4 (casing), 40.5 lbf/ft, gives

    Under Technical Data, Section IV: Class G Cement

    Use Class G Cement w/10% Bentonite, density = 12.8 PPG

    Pump at a rate of 2-3 bbls to maintain 100 psi surface pressure

    Class G w/ 10% Bentonite,

    Volume of cement in shoe joint

    100'

    950'40'

    16'

    10-3/4''

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    40 ft shoe joint

    Go to Capacity Tab, Section 210

    Number of sacks =

    Volume of cement in 16, 65 lbf/ft (casing) 10-3/4, 40.5 lbf/ft annulusLooking at Section 221, page 129, under Vol. & Hgt. Between; Tbgs., Tbg. & Csg., Csgs., D.P.

    & Csg. Tab, gives

    So, conductor casing is set until 100

    Number of sacks =

    Volume of cement in the open hole 15 10-3/4 casing annulus

    With an excess of 150%, so

    Number of sacks =

    Total volume = Total number of sacks = Thus, use approximately 410 sacks.

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    10-3/4, 40.5 lbf/ft, K-55, to 950

    OD = 11.75

    ID = 10.05

    Drift = 9.894

    Collapse resistance = 1580 psi

    Burst resistance = 3130 psi

    Capacity = 0.0981

    7, 32 lbf/ft, C-75 to 5250

    OD = 7.656

    ID = 6.094

    Drift = 5.969

    Collapse resistance = 8,230 psi

    Burst resistance = 8,490 psi

    100'

    950'40'

    16''

    10-3/4''

    5250'

    15'' hole

    7''

    8-5/8'' hole

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    Capacity = 0.036

    For the 7 (casing) 10-3/4 (casing), from Vol. & Hgt. Between; Tbgs., Tbg. & Csg., Csgs.,D.P. & Csg. Tab, it is found that the flow is 0.0505

    As for the 7 (casing) 8-5/8 (hole), from Vol. &Hgt. Between: Tbg., Csg., D.P. & HoleTab, it is found that the flow is 0.0247

    Displacement

    10-3/4, 40.5 lbf/ft to bump plug

    Bump plug at 3 bpm (or barrels per minute)

    Time =

    Bump plug w/

    Bump plug w/ 1,000 psi

    Now for the production casing

    Referring to the previous diagram,

    Class C, Econolite 3%, yield is

    Class G, Bentonite 8%, yield is

    For the 7 (casing) 8-5/8 (hole), from Vol. & Hgt. Between: Tbg., Csg., D.P. & Hole Tab,it is found that the flow is 0.0247

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    Class C

    Total volume Total number of sacks = Thus, use approximately 120 sacks

    Class G

    Total volume = Total number of sacks = Thus, use approximately 450 sacks

    Pressure

    Total =

    Displacement

    7, 32 lbf/ft to bump plug

    Bump plug at 5 bpm (or barrels per minute)

    Time =

    Bump plug w/

    Bump plug w/ 5,000 psi

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    Casign Design Calculations

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    Casing Design Calculations

    Assume:

    Trip margin= 0.5 lbm/gal

    Kick margin= 0.5 lbm/gal

    Fracture gradient= 0.8 psi/ft

    Pore pressure gradient= 0.439 psi/ft (Applied Drilling Engineering, Table 6.1, page 247, for

    California Area)

    Safety Factor (SF)= 2

    Pore Pressure + Trip margin= 8.44 + 0.5 = 8.94 PPG

    Fracture PressureKick margin= 15.380.5 = 14.88 PPG

    Surface Casing

    The surface casing design follow the guidelines that are outlined in Example 7.9 (From Applied

    Drilling Engineering).

    Burst

    For burst considerations, use an injection pressure that is equivalent to a mud density 0.3 lbm/gal

    greater than the fracture gradient. Also assume that any gas kick is composed of methane, which

    has a molecular weight (M) of 16. Ideal gas behavior is also assumed for simplicity.

    1. Determine potential internal pressure, pi

    2. Determine potential gas pressure (Still following Example 7.9, Applied DrillingEngineering)

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    Formation temperature, T is

    Using Equation 4.5 from

    Gradient for methane is

    3. Surface Casing Pressure for design loading condition is (pressure diferential that tends toburst casing at the surface)

    External pressure at surface= 0 psi

    External pressure at casing seat=

    Pressure diferential that tends to burst casing at the casing seat

    Using a safety factor of 2,

    At the surface: At the casing seat:

    For 10-3/4 casing, J-55/K-55 casing grades meet the burst requirements.

    The planned mud density when running the 10-3/4 casing is 8.94 PPG

    Collapse

    The external pressure of collapse-design load

    The internal pressure for the collapse-design load is controlled by the maximum loss in

    fluid level that could occur if a severe lost-circulation problem is encountered. To

    determine the depth to which the mud level will fall, assume a normal-pressure and so

    lost-circulation zone will be encountered near the depth of the next casing seat (5250),

    and also if no permeable zones are exposed above this depth, then

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    Using Equation7.24b from Applied Drilling Engineer

    Depth to which the mud level will fall, Dm

    ( )

    For these conditions, the mud level would fall to within 293 of the casing seat at 950.

    The pressure differential that leads to collapse of the casing is zero at the surface.

    Collapse of the casing seat at 950

    External pressureinternal pressure w/ mud level at 627 ft

    Using a safety factor of 2,

    At657 ft: At 950 ft:

    10-3/4 casing of all grades, except F-25 meet these design requirements.

    Axial Tension

    For 10-3/4 casing, using K-55, 40.5 lbf/ft,

    (From Red Book, Halliburton)

    OD= 11.75 (with coupling)

    ID= 10.05

    Casing weight=

    Cross sectional area of steel

    Using a safety factor of 2,

    Or

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    (overpull)

    10-3/4, K-55 has a joint strength of 450,000 lbfand this is greater than the calculated

    lbfat axial tension.Thus, 10-3/4, K-55, 40.5 lbf/ft surface casing will be run.

    Production Casing

    The production casing design will also follow the guidelines that are outlined in Example 7.9

    (From Applied Drilling Engineering).

    TVD= 5250

    Burst

    Potential internal pressure, pi

    Potential gas pressure

    To find the pressure differential that tends to burst casing at the surface,

    External pressure at the surface= 0 psi

    External pressure at the casing seat=

    With a safety factor of 2,

    At the surafce: At the casing seat of 5250:

    Hence, 7, C-75, 32 lbf/ft casing would meet the burst requirement.

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    Collapse

    Earlier, it has already been determined that lost circulation was encountered, the fluidlevel would drop to 657 (950-293) from the surface.

    Assume collapse if all the fluid in the wellbore was lost.

    Gas gradient=

    To collapse casing seat of 5250,

    Using a safety factor of 2,

    7, C-75, 32 lbf/ft has a collapse resistance of 8,230 psi which is greater than the

    estimated collapse resistance of 4,080.2 psi.

    Axial Tension

    For 7 casing, using C-75, 32 lbf/ft,

    (From Red Book, Halliburton)

    OD= 7.656 (with coupling)

    ID= 6.094

    Casing weight=

    Cross sectional area of steel

    Using a safety factor of 2,

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    Or

    (overpull)

    7, C-75, 32 lbf/ft, LT&C has a joint strength of 633,000 lbf, which is greater than the

    worst case of 283,583.5 lbf.

    Conclusion

    Surface casing: 10-3/4, K-55, 40.5 lbf/ft, set at 900 in a 15 hole(Based on Table 7.7,Chapter 7, page 331, Applied Drilling Engineering)

    Production casing: 7, 32 lbf/ft, C-75 set at 5250 in a 8-5/8 hole (Based on Table 7.7,

    Chapter 7, page 331, Applied Drilling Engineering)

    Chapter 7, page 332, Table 7.8 illustrated that the largest bit through 10-3/4, 40.5 lbf/ft

    is 9-7/8 bit

    15bit will pass through 16 conductor pipe

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    Mud Information and Annular Velocity

    Calculations

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    Mud Information and Annular Velocity Calculations

    There is a need to determine if there is enough rate at 375 GPM to keep the hole clean.

    Assume Bingham Plastic Model (Based on the sample drilling reports)

    15 hole

    q= 375 GPM

    Drill pipe ID= 2.992

    Using Equation from Table 4.6,

    Drill pipe mean velocity,

    =8.94 ppg

    d= 2.992

    = 16

    Turbulence criteria

    (Turbulent flow through the drill pipe)

    7 9-7/8hole annulus

    Turbulence criteria

    Right at turbulent criteria for the annulus.

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    10-3/4 15hole annulus

    Turbulence criteria

    Right at turbulent criteria for the annulus.

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    Directional Plan

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    Directional Plan

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    Drilling Program Outline

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    Figure 1: Schematic arrangement of solids control equioment to be used

    Shale Shaker

    Desander

    Mud Cleaner

    Centrifuge

    Reserve mud pits

    Return line from well

    Solids to pit

    Solids to pit

    Solids to pit

    Solids to pit

    Liquified returnto mud system

    Liquids

    Liquids

    Liquids

    Liquids

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    Plan not to scale

    Figure 2: Illustration of well trajectory

    0

    200

    400

    600

    800

    0 200 400 600 800 1000 1200 1400

    South

    (-)

    /North(+)

    West(-)/East(+)

    Surface Location Reference Point Bottom Hole Location

    Bottom Hole

    Location- 600' North,

    1200' East of "AA"

    Surface Location- 300'

    North, 600' East of

    "AA"

    "AA"