Well Drilling Engineering
More Casing Design
     Dr. DO QUANG KHANH
                            1
          Casing Design - cont’d
 Casing Threads
 Using the Halliburton Cementing Tables
 Yield Strength of Casing (in tension)
 Burst Strength
 Effect of Axial Tension on Collapse Strength
 Effect of Pipe Bending
 Effect of Hydrogen Sulfide
 Selection of Casing Settling Depths
                                             2
             Read:
Applied Drilling Engineering, Ch.7
              HW #
                                     3
Rounded Threads
   * 8 per inch
~ Square Threads
  * Longer
  * Stronger
   Integral Joint
* Smaller ID, OD
* Costs more
* Strong
              4
5
<--- BURST ---> <--- TENSION --->
                              6
 Tensile force balance on pipe body
Example 7.1:
Compute the body-
yield strength for 20-
in., K-55 casing with a
nominal wall thickness
of 0.635 in. and a
nominal weight per
foot of 133 lbf/ft.
                          Ften   y ield * A s
                                            7
 Tensile force balance on pipe body
                          K55
Solution:
This pipe has a minimum
yield strength of 55,000 psi
and an ID of:
                                   Ften   y ield * A s
  d  20 .00  2 ( 0 .635)  18 .730in .
                                                   8
  Tensile force balance on pipe body
Thus, the cross-sectional area of steel is
        
 As        ( 20  18.73 )  38.63sq.in .
                2            2
      4
and a minimum pipe-body yield
is predicted by Eq. 7.1 at
an axial force of:
            Ften   y ield * A s
Ften  55,000 (38.63 )  2,125,000 lbf
                                             9
      Pipe Body Yield Strength
                  2 2
             Py  (D  d )Yp
                 4
where
 Py  pipe body yield strength, lbf
 Yp  specified minimum yield strength, psi
 D  outside diameter of pipe, in
 d  inside diameter of pipe, in
                                        10
       Pipe Body Yield Strength
Example
What is yield strength of body of 7”, 26 #/ft,
P-110 casing?
                          2
                     Py  (D  d2 )Yp
                         4
      2
 Py  (7  6.276 2 )110,000  830,402 lbf
     4
Py  830,000 lbf    (to the nearest 1,000 lbf).
                       …agrees with Halliburton
                                                  11
Internal Yield Pressure for Pipe (Burst)
                                   FT
                     2Yp t 
          P  0.875                     FP
                     D 
where                                    FP = DLP
                                         FT = 2tLYP
P  internal yield pressure, psi
                                        DLP = 2tLYP
Yp  minimum yield strength, psi
t  nominal wall thickness, in             2Yp t 
                                        P       
D  O.D. of pipe, in                       D 
                                                    12
                    Example
For 7”, 26 #/ft P-110 pipe
             2Yp t 
  P  0.875        
              D    
                           (7 - 6.276)
    0.875 * 2 * 110,000 *
                               2*7
      9,955
  P  9,960 psi          (to the nearest 10 psi)
                        …agrees with Halliburton Tables.
                                                   13
Ellipse of
Plasticity
             14
TENSION
          15
16
Length of arc, L = RDqrad                L
DL = (R + r)Dq - RDq                    Dq
                                    R          R+r
            dn
DL  r Dq     Dq
            2
     DL dn Dq      dn      
D            
     L     2 L    212  100 180
            30 * 10   6
                           
D  E D                    dn    218dn
             2,400        180
 D  218  dn             F  218  dn A s    (7.14a)
                                                17
Figure 7.14 - Incremental stress caused by
  bending of casing in a directional well
  The area of steel, As, can be expressed
  conveniently as the weight per foot of
  pipe divided by the density of steel.
  For common field units, Eq. 7.14a
  becomes
     Fab  64  d n w.............................( 7.14b )
where Fab , , dn , and w have units of
lbf, degrees/100 ft, in., and lbf/ft, respectively.
                                                              18
                    Example
     5 deg/ 100 ft
   dn,  7 in
    w  35 lbf / ft
Fab  64  dn w .......... .......... .........( 7 .14b )
  Fab = 64 * 5 * 7 * 35 = 74,400 lbf
   Fab = 74,400 lbf
                                                        19
                                                          Rc = 22
( Rc = 22 corresponds to a yield strength of about 90,000 psi
                                                           20
                                                              )
21
22
23
24
Production casing design load for burst.
                                      25
Production casing design load for collapse.
                                       26
  Tensile Strength of Casing
What is the maximum
length of N-80 casing that
can hang in an air-filled
wellbore
without exceeding the
minimum yield strength
of the pipe?
                               27
 Tensile Strength of Casing
                                                  F
What is the maximum length of N-80
casing that can hang in an air-filled
wellbore without exceeding the
minimum yield strength of the pipe?
FMAX = 80,000 As = As LMAX 490/144
LMAX = 80,000 * 144/490
LMAX = 23,510 ft                                  W
 { With a 1.8 design factor, LMAX = 13,060 ft }
                                                      28