[实用参考]钻井工程英文课件14.1 Pressures

me
100
K
96V D
n
1
3n 1n 4n
OD = 6.5 in ID = 2.5 in L = 600 ft
me
100*
2.017
96
*
18.28
0.737
1
3
*
0.737
10.737
2.5 4 * 0.737
38.21cP
Reynolds Number in Collars (NRe):
PPUMP
5
Pressure Drop In Drill Pipe
Power-Law Constant (n):
OD = 4.5 in ID = 3.78 in L = 11,400 ft
n
3.32
log
R600 R300
3.32 log 65 0.737 39
Fluid Consistency Index (K):
n
3.32
log
R600 R300
3.32 log 65 0.737 39
OD = 6.5 in ID = 2.5 in L = 600 ft
Fluid Consistency Index (K):
K
5.11R600 1,022n
5.11* 65 1,0220.737
2.017
dynesecn cm2
Effective Viscosity in Pipe (me):
me
100
K
96V D
n
1
3n 1n 4n
OD = 4.5 in ID = 3.78 in L = 11,400 ft
me
100 *
2.017
96 * 8 3.78
0.737 1
3 * 0.737 10.737 4 * 0.737
(RPM * 1.703)
VISCOMETER RPM
SHEAR RATE
sec -1
BOB
3 100
ANNULUS
5.11 170.3
300
DRILL
511
600
STRING 1022
SLEEVE
3
Pressure Drop Calculations
• Example Calculate the pump pressure in
NRe
928 D V r me
928 * 2.5 * 18.28 * 12.5 13,870 38.21
11
Pressure Drop In Drill Collars
NOTE: NRe > 2,100, so Friction Factor in DC (f):
f
a NRe b
OD = 6.5 in ID = 2.5 in L = 600 ft
0.007126
8
Pressure Drop In Drill Pipe
Friction Pressure Gradient (dP/dL) :
OD = 4.5 in ID = 3.78 in L = 11,400 ft
dP f V 2r 0.007126* 82 * 12.5 0.05837psi
the wellbore shown on the next page, using the API method.
• The relevant rotational viscometer readings are as follows:
• R3 = 3 • R100 = 20
(at 3 RPM) (at 100 RPM)
a log n 3.93 log 0.737 3.93 0.0759
50
50
1.75 log n b
1.75 log 0.737 0.2690
K
5.11R600
n
5.11* 65
dynesecn
1,0220.737 2.017 cm2
1,022
Average Bulk Velocity in Pipe (V):
V
0.408Q D2
0.408 * 280 3.782
8.00
ft sec
6
Pressure Drop In Drill Pipe
dL 25.81 D
25.81* 3.78
ft
Friction Pressure Drop in Drill Pipe : DP dP DL 0.05837 * 11,400 dL
DPdp = 665 psi
9
Pressure Drop In Drill Collars
Power-Law Constant (n):
• R300 = 39
(at 300 RPM)
• R600 = 65
(at 600 RPM)
4
Pressure Drop Calculations
Q = 280 gal/min
r = 12.5 lb/gal
PPUMP = DPDP + DPDC + DPBIT NOZZLES + DPDC/ANN + DPDP/ANN + DPHYD
f
a NRe b
OD = 4.5 in ID = 3.78 in L = 11,400 ft
log n 3.93 a
log 0.737 3.93 0.0759
50
50
1.75 log n b
1.75 log 0.737 0.2690
7
7
So,
f
a NRebFra bibliotek0.0759 6,6160.2690
Average Bulk Velocity inside Drill Collars (V):
V
0.408 D2
Q
0.408 * 280 2.52
18.28
ft sec
10
Pressure Drop In Drill Collars
Effective Viscosity in Collars(me):
14.1-1
Pressures
1
API Power Law Model API RP 13D
K = consistency index n = flow behaviour index
=K n
SHEAR STRESS
psi
0
SHEAR RATE, , sec-1
2
Rotating Sleeve Viscometer
53 cP
Reynolds Number in Pipe (NRe):
NRe
928 D Vr me
928 * 3.78 * 8.00 * 12.5 6,616 53
7
Pressure Drop In Drill Pipe
NOTE: NRe > 2,100, so Friction Factor in Pipe (f):