Page 252 - Formulas and Calculations for Petroleum Engineering

Production engineering formulas and calculations Chapter 4 245

Formula(s)

PPRL ¼ C D

Reference: Boyun, G., William, C., & Ali Ghalambor, G. (2007). Petroleum Production Engineering: A Computer-Assisted
Approach, Page: 18/269.

4.90 Suspension property of static fluids (completion and workover fluids)

Input(s)
d: Particle Diameter (μm)
3
ρ p : Density of Solid Particle (g/cm )
3
ρ f : Density of Fluid (g/cm )
2
g: Acceleration Owing to Gravity (ft/s )
μ: Fluid Viscosity (cP)

Output(s)
v: Particle Settling Velocity (in/s)

Formula(s)

d 2 ρ ρ g
p f
v ¼ 6
μ ðÞ 4:5 10
Reference: Bridges, K. L. (2000). Completion and Workover Fluids (Vol. 19). Society of Petroleum Engineers, Page: 49.

4.91 Tangential annular flow of a power law fluid

Input(s)
m: Power Law Constant (dimensionless)
n: Power Law Constant 2 (dimensionless)
Ω: Colission Integral (dimensionless)
κ: Dilational Viscocity (cP)
R: Radius (ft)
L: Length (ft)

Output(s)
2 2
T z : Torque Exerted (lb ft /s )

Formula(s)

n
0 0 1 1
2

2 B B n C C
T ¼ 2 π m Ω ð κ*RÞ L B B C C
z
2 A A
@
@
1 κ n
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 8, Page: 244.