1. LECTURE 2:
CASING DESIGN PRATICES
BY
DR. A.K.PATHAK
DEPARTMENT OF PETROLEUM ENGINEERING
INDIAN SCHOOL OF MINES
DHANBAD - 826004
E-mail: akhilendra_pathak@yahoo.co.i
4. FUNCTIONS OF CASING
To prevent caving of the hole
To prevent contamination of fresh water in the
upper sands
To exclude water from the producing formation
To confine production to the well bore
To provide a means for controlling pressure and
To facilitate installation of the subsurface
equipment required in case of artificial lift
method applications.
4
5. CASING PIPE
A CASING PIPE IS
REFERRED TO A PLAIN
PIPE WHOSE BOTH ENDS
ARE THREADED AND A
COUPLING IS ATTAHED
AT ONE END
5
8. SPECIFICATIONS OF
CASING PIPES
Size
Nominal weight, governed by wall thickness.
Grade of steel
Threads & Coupling type.
8
9. GRADES & SPECIFICATION OF
CASING PIPES
---------------------------------------------------------------------------------------.
Casing Ym Ya C
Grade psi psi
----------------------------------------------------------------------------------------.
F-25 25,000 35,000 134
H-40 40,000 50,000 182
J-55,K-55 55,000 65,000 242.5
N-80,L-80 80,000 85,000 282
P-110 110,000 122,500 369
----------------------------------------------------------------------------------------.
9
10. Length ranges
Range 1: 16-25 ft. average 22 ft
Range 2: 25-34 ft. average 29 ft.
Range 3: above 34 ft. average 38 ft.
Range 0: 20 ft standard
10
11. Threads & Couplings
Short threads and Couplings
Long Threads & Coupling
Buttress Threads & Couplings
API Extreme Line Threads & Couplings
Round Threads & Couplings
11
14. Make up loss
It is defined as length lost during making
up the string by connecting two casing
pipes.
L2 = 2L – LJ (1)
Lj = 0.5 Lc - J (2)
LT = [(1000 L) / {L – (LJ / 12)}] (3)
14
21. Weight of Couplings: Wc
WC = 0.2833 VC
VC = 2 ( Va – Vb – Vd)
Va = Volume of a cylinder of 0.5 LC length and diameter de
Vb = Volume of a cylinder of M length and diameter dr
Vd = Volume of frustum of a cone of [0.5 LC – M] length and
diameters d2 and d3
21
25. Weight of Metal Removed
during Threading: Wt
Wt = 0.2833 Vt
Vt = Ve – Vf – Vg
Ve = Volume of a cylinder of Lt length and diameter de
Vf = Volume of frustum of a cone of L1 length and diameters de and d1
Vg = Volume of frustum of a cone of [Lt –L1 ] length and diameters d1
and d4
25
29. Exercise
Calculate Weight of Coupling.
Calculate Weight of metal removed during
threading the pipe end.
Calculate Linear weight of threaded and
coupled casing pipe.
29
37. Joint Strength
It is the maximum axial load under the perfect
thread of joint of a particular grade casing for
which the casing can withstand without any joint
failure. Unit in Lbs.
FJS = C [33.71 – de] [24.45 t – 0.742] [ de – t – 0.07125] (14)
FJl = 1.647 C [25.58 – de] [24.45 t – 0.742] [ de – t – 0.07125] (15)
37
38. Burst Pressure
It is defined as the limit of internal fluid
pressure of a casing pipe against which
the pipe can withstand without any burst
failure.
Pb = 1.75 Ym . t / de (16)
38
39. Collapse Pressure
It is defines as the limit of
external fluid pressure
exerting on a pipe against
which the pipe can
withstand without any
collapse failure.
39
40. Collapse Pressure
For Elastic Failure:
46.95 X 106
PC = ---------------------------------
(de/t)[(de/t) – 1]2
40
41. Collapse Pressure
For plastic failure with de/t less than 14
[(de/t) – 1]
PC = 1.50 Ym [--------------------------]
(de/t)2
For plastic failure with de/t greater than 14
1.877
PC = Ya [------------- - 0.0345]
(de/t)
41
42. Collapse Pressure
Stewart Equation for de/t less than 43.5 only for F-25 casing
65,000
PC = [---------------- - 1040]
(de/t)
Stewart Equation for de/t greater than 43.5 only for F-25 casing
37.66 X 106
PC = [----------------------]
(de/t)3
42
43. CALCULATION OF COLLAPSE PRESSURE
43
GRADE D/t Ratio
H40 16.44 and less
J55, K55 and E 14.80 and less
C75 and E 13.67 and less
N80 13.38 and less
C95 12.83 and less
P105 12.56 and less
P110 12.42 and less
135 11.90 and less
140 11.95 and less
For minimum collapse failure in the plastic range with minimum
yield stress limitations :
Pc = 2 Ym[(D/t-1)/(D/t)2 ……(I)
Applicable D/t ratios for application of formula (1) are as follows :
44. CALCULATION OF COLLAPSE PRESSURE
44
GRADE FORMULA FACTOR D/t Ratio
A’ B’ C
H40 2.950 .0463 755 16.44 to 26.62
J55, K55 and E 2.990 .0541 1205 14.80 to 24.99
C75 and E 3.060 .0642 1805 13.67 to 23.09
N80 3.070 .0667 1955 13.38 to 22.46
C95 3.125 .0745 2405 12.83 to 21.21
P105 3.162 .0795 2700 12.56 to 20.66
P110 3.180 .0820 2855 12.42 to 20.29
135 3.280 .0945 3600 11.90 to 19.14
140 3.295 .0970 3750 11.95 to 18.95
For minimum collapse failure in plastic range :-
Pc = Ym [ (A’t / D) – B’] – C (II)
Factors and applicable D/t ratios for application of
formula 2 and as follows :
45. CALCULATION OF COLLAPSE PRESSURE
45
GRADE FORMULA FACTOR D/t Ratio
A’ B’
H40 2.047 .03125 26.62 to 42.70
J55, K55 and E 1.990 .0360 24.99 to 37.20
C75 and E 1.985 .0417 23.09 to 32.04
N80 1.998 .0424 22.46 to 31.05
C95 2.047 .0490 21.21 to 28.25
P105 2.052 .0515 20.66 to 26.88
P110 2.075 .0535 20.29 to 26.20
135 2.129 .0613 19.14 to 23.42
140 2.142 .0630 18.95 to 23.00
Pc = Ym [ (At / D) – B’] ………………………… (III)
46. CALCULATION OF COLLAPSE PRESSURE
46
GRADE D/t Ratio
H40 42.70 and greater
J55, K55 and E 37.20 and greater
C75 and E 32.05 and greater
N80 31.05 and greater
C95 28.25 and greater
P105 26.88 and greater
P110 26.20 and greater
135 23.42 and greater
140 23.00 and greater
For minimum collapse failure in elastic range :-
Pc = 46.95 x 106 / ( D/t) [ (D/t)-1]2 ---(IV)
Applicable D/t ratios for application of formula 4
and as follows :-
48. Effect of Axial Load on Collapse
Pressure of a Casing Pipe
48
(PCC / PC) = (yt / ya)
Yz
2 = - (W/A)
According to Helmquist & Nadai equation
Ya
2 = Yt
2 – Yt . Yz + Yz
2 K = 2 Ya . A
Devide the equation by Ya
2
(Yt
2 – Yt . Yz + Yz
2 ) / Ya
2 = 1
(PCC / PC)2 + {2 . W . PCC / K . Pc } + {(4 W2 / K2) – 1} = 0
solving for PCC
Pcc = (Pc / K) [{ (K2 – 3W2)} – W] (17)
49. Exercise
Effect of Axial Load on Collapse Pressure
Tabulate the Corrected Collapse
Resistance Pressure (PCC) versus load
data of 9 5/8 inch 40 lbs LT&C casing
pipe and draw the collapse resistance
curve
49
53. 53
OD inch Wall thick. Inch Nominal Weight ppf Grades Threads & Coupling OD inch Wall thick. Inch Nominal Weight ppf Grade Threads & Coupling
4 ½ 0.205 9.50 F,H,J S 8 5/8 0.264 24.00 F,J S
0.250 11.60 J S,L 0.304 28.00 H S
0.250 11.60 N,P L 0.352 32.00 H S
0.290 13.50 N,P L 0.352 32.00 J S,L
0.337 15.10 P L 0.400 36.00 J S,L
5 0.220 11.50 F,J S 0.400 36.00 N L
0.253 13.00 J S,L 0.450 40.00 N,P L
0.296 15.00 J S,L 0.500 44.00 N,P L
0.296 15.00 N,P L 0.557 49.00 N,P L
0.362 18.00 N,P L
5 ½ 0.228 13.00 F S 9 5/8 0.281 29.30 F S
0.244 14.00 H,J S 0.312 32.30 H S
0.275 15.50 J S,L 0.352 36.00 H S
0.304 17.00 J S,L 0.352 36.00 J S,L
0.304 17.00 N,P L 0.395 40.00 J S,L
0.361 20.00 N,P L 0.395 40.00 N L
0.451 23.00 N,P L 0.435 43.5 N,P L
6 0.238 15.00 F S 0.472 47.00 N,P L
0.288 18.00 H S 0.545 53.50 N,P L
0.288 18.00 J S,L 10 ¾ 0.279 32.75 F,H S
0.288 18.00 N L 0.350 40.50 H,J S
0.324 20.00 N L 0.400 45.50 J S
0.380 23.00 N,P L 0.450 51.00 J,N,P S
0.434 26.00 P L 0.495 55.50 N,P S
6 5/8 0.245 17.00 F S 0.545 60.70 P S
0.288 20.00 H S 0.595 65.70 P S
0.288 20.00 J S,L 11 ¾ 0.300 38.00 F S
0.352 24.00 J S,L 0.333 42.00 H S
0.352 24.00 N,P L 0.375 47.00 J S
0.475 32.00 N,P L 0.435 54.00 J S
0.489 60.00 J,N S
7 0.231 17.00 F,H S 13 3/8 0.330 48.00 F,H S
0.272 20.00 H,J S 0.380 54.50 J S
0.317 23.00 J S,L 0.430 61.00 J S
0.317 23.00 N L 0.480 68.00 J S
0.362 26.00 J S,L 0.514 72.00 N S
0.362 26.00 N,P L 16 0.312 55.00 F S
0.408 29.00 N,P L 0.375 65.00 H S
0.453 32.00 N,P L 0.438 75.00 J S
0.498 35.00 N,P L 0.495 84.00 J S
0.540 38.00 N,P L 20 0.438 94.00 F,H S
7 5/8 0.250 20.00 F S
0.300 24.00 H S
0.328 26.40 J S,L
0.328 26.40 N L
0.375 29.70 N,P L
0.430 33.70 N,P L
0.500 39.00 N,P L
Table 2: API CASING FAMILY
55. Area under the
last perfect threads
Aj = t ( de – t) - h ( de – h)
Aj = [ t (de – t) – h (de – h)]
Aj = [t. de – t2 – h . de + h2]
Aj = [t . de – h . de + (h2 – t2 ) ]
Aj = [t . de – h . de - (t2 – h2) ]
Aj = [de (t – h) - {(t + h) (t – h)}]
Aj = (t – h) [de– (t + h)]
Aj = (t – h) (de– t - h)
Aj = (t-0.07125) ( de – t – 0.07125)
55
56. DESIGN FACTORS
Nc = (Pcc / Ph) range 1.00 to 1.5
common 1.125 (19)
Ni = (Pb / Pf) range 1.00 to 1.75
common 1.00 (20)
Nj = (Fj / W) range 1.5 to 2.00
common 2.00 (22)
Na = (Ym.Aj /W) range 1.5 to 2.00
common 1.75 (23)
Aj = (t-0.07125) ( de – t – 0.07125)
(24)
56
57. SELECTION CRITERIA
Drilling cost
Methods of production.
Production rates
Possibilities of multi-zone completions
number of intermediate strings
Nature of fluid to be produced
Rig limitations
Work over possibilities
Availability of casings
Common practices
Type of well being drilled.
57
58. CASING DESIGN PRACTICE
Arrange all the available casing pipe of the
selected size in ascending order of their
properties (Joint Strength).
Determine or estimate expected Formation
pressure and reject all the casing pipes
having their burst resistance pressure less
than formation pressure.
58
59. CASING DESIGN PRACTICE
Calculate Hydrostatic pressure at total
depth.
Ph = 0.052 x Nc x m x D
0.052 = (0.433/8.33) = Pr. Grad.Constt.
Select the bottom most casing as first
section as per criteria Ph > Pc
59
60. CASING DESIGN PRACTICE
Select the casing pipe for second
section which is just lighter than the
first section pipe. Calculate the pipe
setting depth-
LS2 = PC2 / (0.052 x Nc x m )
Calculate the load suspended below
the casing (load of first section).
W1 = w1 x B x (D – LS2)
60
61. BUOYANCY FACTOR
B = (65.4 - m) / 65.4
m = Mud density in ppg
B = (489.2 - ) / 489.2
= Mud density in pcf
B = (7.85 – sp.gr.) / 7.85
61
62. CASING DESIGN PRACTICE
Calculate corrected collapse pressure of
the selected casing section.
Pcc2 = (Pc1 / K2) [{ (K2
2 – 3W1
2)} – W1 ]
K = 2 Ya . A A = t ( de – t)
. Calculated corrected setting depth of
the casing section under consideration
LS2
II = PCC / (0.052 x Nc x m )
62
63. Check Point for Design
Criteria
(e) Consider LS2 = LS2
ii and repeat steps
vi, vii and viii till the difference between
two calculated values of LS2 comes less
than five feet. Finalise the LS2 as lower
multiple of five and finalise the load
suspended below the section (W1).
63
64. Check Point for Design Criteria
Calculate Maximum Allowable length of
the section under consideration-
LM2 = [(FJ2 / NJ) – (W1 )] / w2 . B
64
65. Check Point for Design Criteria
(a) If LM2 is greater than LS2 then Pc will
continue as design criteria for the next section
(section 3) and the pipe selected for the section
3 will be next weaker pipe than section 2.
Repeat the steps v to x for the design process of
the rest sections.
(b) If LM2 is less than LS2 than Joint loading
will be the design criteria for the next section
(section 3) and the pipe selected for section
3 will be the next stronger pipe than
section2.
65
66. Check Point for Design Criteria
(c) Use the length of the section under
consideration as the calculated maximum
allowable length of the section-
L2 = LM2
and Setting depth of next section (section3)
will be
LS3 = LS2 – L2
(d) Calculate the load up to top of the section-
W2 = [W1 + {(LS3 – LS2) x w2 x B}]
66
67. Check Point for Design Criteria
Repeat the steps b,c and d till the whole
depth of the well is covered.
Report the final design in tabular form and
in graphical form
67
68. Crosscheck of casing design
ANc = (Pcc / Ph)
ANi = (Pb / Pf)
ANj = (Fj / W)
ANa = (Ym.Aj /W)
Aj = (t-0.07125) ( de – t – 0.07125)
68
70. Exercise Conventional Casing
Design
Design a 7 inch casing string
for a 8000 feet deep well with
12 ppg mud and 0.5 psi.ft
formation pressure gradient.
Use normal design factors for
the design.
70
71. Solution Step 1
B = 0.6165
PWS = 8000 x 0.5 = 4000 psi
(All the casing pipes having Pb < 4000 Psi
are eliminated)
71
72. Step 2
Selection of Section 1
Phd = 0.052 x 12 x 8000 x 1.125 = 5616 psi
Section 1: 29 lbs N-80 LT&C
LS1 = 8000 ft.
72
77. Step 6 Contd
As per convention Pc can continue as
design criteria using LT & C but
next weaker pipe 20 lb J-55 is not
available due to its lower value of burst
pressure than formation pressure.
Therefore Section 5 will be ST & C and the
design criteria will change from collapse
resistance to Joint loading strength.
L5 = 3665 ft. W5 = 149974 lbs.
77
78. Step 7 Selection of Section 6
Section 6: 23 lbs J-55 LT&C Fj = 344000 lbs
LS6 = 4185 – 3665 = 520 ft. LM6 = 1173 ft.
Since LM6 > LS6 therefore section 6 will be extended up to top.
L6 = 520 ft. w6 = 159739 lbs.
78