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Mud Pumps 71

Table 3.4 (Continued )
Input Data 1
Pipe roughness 0.0025 in
Length of drill collar 1 60 ft
OD of collar 1 7.000 in
ID of collar 1 3.000 in
Length of drill collar 2 0 ft
OD of collar 2 6.250 in
ID of collar 2 2.500 in
Length of drill collar 3 250 ft
OD of collar 3 5.750 in
ID of collar 3 3.000 in
Drill pipe OD 5.000 in
Drill pipe ID 4.000 in
Mud weight 11 ppg
Plastic viscosity 5 cp
Yield point 5 lb/100 ft 2
Mud flow rate 300 gpm
Pressure drop at mud motor 200 psi
Flow rate exponent 1.75 m
Solution Casing Pipe Hole Pipe
q
v = 2 2 3.25 ft/s 3.31
o i
2:448ðd − d Þ
2.38 in 2.35
d e = 0:816ðd o − d i Þ
μ = μp + 6:66τ y d e 29.44 cp 28.60
v
a
N Re = 928ρ vd e 2,683 2,719
f
μ
a
(
ε 5:0452
f = −4 log − log 0.0137 0.0137
3:7065 N Re
1:1098 −2
ε + 7:149 0:8981
2:8257 N Re
f ρ v 2
dp f = f arcsin θ 0.026 psi/ft 0.027
dL 25:8d

p f = dp f L 181 psi 73
dL
n
1,259 psi
Δp d = ∑ p fi
i = 1

p p = ðm + 1Þ Δp d 3,461 psi
p p = m + 2 Δp d π
2 2,360 psi
(Continued )