casing hanger test guideline_g22 02 (3)
TRANSCRIPT
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Design Guideline G22.02: Casing Hanger Load Capacity
Step 6.1: Enter Given Data
Casing Hanger: C-21
HPI or Pressure Isolation Seals
being used? No
Casing Description:
OD (in): 20
a=OD/2 a= 10
ID (in): 19
b=ID/2 b= 9.5
Minimum Yield Strength of
Casing, Syp(psi): 55000
Collapse Pressure of Casing,
qcollapse(psi): 770
Plain End Yield Strength of
Casing, PEYS (lbs): 1684683
Buttress Joint Strength of
Casing, BJS (lbs): 1682947
Round Joint Strength of
Casing, RJS (lbs): 2361822
Joint Type: Buttress
Modulus Of Elasticity, E (psi): 30000000
Poison's Ratio, v: 0.292
This is a step-by-step worksh eet designed to assis t in the calculations out l ined in section 6.0 of Design Guidel ine
G22.02. The user should be able to use this wo rksheet to determine the recommend ed operating range for a given
sl ip casing hanger and a given casing type wi th respect to h ang load and pressure.
20 OD - 106.5 LB/FT-(K55)
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Step 6.2: Determine Casing Application (Thick-wall vs. Thin-wall vessel)
(a+b)ratio= __2__
Eqn.(1) (a-b) ratio= 19.50
application= if (ratio >10,"thin-wall","thickwall")
application= thin-wall
Let Dyp = Diametrical Deflection that will cause internal yield in the casing (in)
Let R = Mean Casing Radius (in)
(a+b)
R= 2
R= 9.75
Dyp =Eqn.(2) if application = "thin-wall"
(a+b)2- v * (a
2- b
2)
Eqn.(3) Syp* otherwise
Dyp = 0.035
Let t = casing wall thickness (in)
Let K = a constant based on casing hanger type
0.3 for C-21 and C-22 casing hangers
0.2 for C-29 casing hangers
If the mean radius of the casing divided by the wall thickness is less than or equal to 10, then the thick-wall vessel
criteria applies. If the ratio is greater than 10, then the thin-wall vessel criteria applies.
2*R*Syp
Step 6.3: Determine the Diametrical Deflection in the Casing That Will Cause Internal Yield
E
Step 6.4: Determine the Maximum Hang Load Capacity, PLyield
Now that the maximum diametrical deflection for th egiven casing has been determined, the hang load that will
generate that same amount o fdeflection must be determined. This value will be the Maximum Hang Load Capacity
for the given casing hanger and casing.
Let PLyield= hang load required to generate a diametrical casing deflection equal to Dypunder zero pressure
conditions (lbs)
2 * a * E
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t= a-b
t= 0.5
K= 0.2 if Type = "C-29"0.3 otherwise
K= 0.3
Eqn.(4) PLyield= Dyp*pi*t*EK*R
PLyield= 5.574E+05
Step 6.5: Determine the Diametrical Deflection Due To Collapse Pressure
Let Dcollapse= Diametrical Deflection due to collapse Pressure only (in)
Let f = a constant based on casing hanger type used in thin-wall cases;
3 for C-21 and C-22 casing hangers;
4 for C-29 casing hangers
Let = a variable term in the equation based on R, t, and v used in thin-wall cases
f= 4 if Type = "C-29"
3 otherwise
f= 3
Eqn.(6)
= 0.583
Eqn.(5) if application = "thin-wall"
Eqn.(7)
otherwise
Dcollapse = 0.010
Determine the diametrical deflection that results when the casing is subjected to its collapse pressure with no
hanging load present.
2
42 2
3* (1 )
*
v
R t
2
**
2 * * 1 * cos( **
collapse f
collapse
q RD e f
E t
*collapseq a a bv
E a b
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Step 6.6: Determine the Maximum Additional Loading at Collapse Pressure
Let Dadditional_load= Diametrical deflection due to hang load at collapse pressure (in)
Let PLadditional_load= Hang load required to generate a deflection equal to Dadditional_load(lbs)
Dadditional_load= Dyp- DcollapseEqn.(8) Dadditional_load= 2.453E-02
PL_additional_load= Dadditional_load* pi * t * EEqn.(4) K * R
PL_additional_load= 3.953E+05
Step 6.7 - 6.8: Graph the Recommended Operating Range
The graph will have pressure (psi) on the x-axis and Hang Load (lbs) on the y-axis.
Calculate the slope between the points (0 psi, 0.8*PLyield) and (collapse pressure, PL_additional_load)
slope = PL_additional_load- 0.8*PLyieldEqn.(9) qcollapse - 0
slope = -65.72646213
slopefactor= 0 if (HPI = "Yes") or (Type = "C-21")
Eqn.(10) -1 * slope otherwise
slopefactor= 0
Note:slopefactorequals zero for C-21 casing hangers and for C-22, C-29 casing hangers with HPI seals.
Limit_1 = RJS if Joint Type = "Round"
BJS otherwise
Limit_2 = RJS if Joint Type = "Unknown"
Limit_1 otherwise
Max_Limit = 0.8*PLyield
0.8*PEYS if 0.8*PEYS < 0.8*PLyield
t co apse pressure, t e cas ng s a rea y e ecte ue to t e pressure. us, t e amount o e ect on t at can
occur due to loading is limited since the total deflection must be less than or equal to Dyp. First calculate the
amount of allowable deflection due to loading, then calculate the amount of hang load required to generate this
deflection.
If Buttress Joint Strength or Round Joint Strength or 80% of Plain End Yield is less than 80% of P Lyield, then the
smallest of the three values shall serve as a maximum load limit for the graph. Note that Buttress Joint Strength is
not considered as a possible limit when the joint type is umknown. Determine the least of the four values, as
appropriate.
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Max_Limit = Max_Limit
Limit_1 if Limit_1 < Max_Limit
Max_Limit = Max_Limit
Limit_2 if Limit_2 < Max_Limit
Max_Limit = 4.459E+05
Let TP = test pressure (psi)
TP = 0,1qcollapse
Max_Rec_Load(TP) = (0.8*PLyield) - (TP*slopefactor)
Type = C-21 Syp= 5.500E+04 0.8 * PLyield= 4.459E+05
HPI = No qcollapse= 7.700E+02 0.8 * PEYS = 1.348E+06
OD = 20 0.8 * qcollapse= 6.160E+02 BJS = 1.683E+06
ID = 19 Joint Type = Buttress RJS = 2.362E+06
application = thin-wall Max_Limit = 4.459E+05
1.) the x-axis
2.) the y-axis
3.) the line representing the Maximum Calculated Recommended Hang Load
4.) the vertical line at 80% collapse pressure
5.) the horizontal line at Max_Limit
The recommended operating range is represented by the area in the 1st quadrant of the graph that is confined by:
The equation of the line to graph will be the Maximum Recommended Hang Load for a given casing exposed to a
given pressure with the given casing hanger. This equation can be applied to the recommended pressure range
which extends from 0 psi to 80% of the collapse pressure.
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Here are some values at specific pressures to be used when graphing for reference only:
Max_Rec_Load(0) = 4.459E+05
Max_Rec_Load(0.8*qcollapse) = 4.459E+05
Max_Rec_Load(qcollapse) = 4.459E+05
Given Pressure, qgiven(psi) = 10000
Allowable_Load = Max_Rec_Load(qgiven) if (Max_Rec_Load(qgiven)
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Given Load, loadgiven(lbs) = 165000
Max_Pressure(loadgiven) = 0.8 * PLyield- loadgiven
slopefactor
Allowable_Pressure = Max_Pressure(loadgiven) if (Max_Pressure