Page 234 - Formulas and Calculations for Petroleum Engineering

Production engineering formulas and calculations Chapter 4 227

Output(s)

MPRL: Minimum Polished Rod Load (lb)

Formula(s)

MPRL ¼ C d

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

4.54 Peclet number for fluid loss (acidizing)

Input(s)
w: Average Fracture Width (ft)
v : Average Fluid Loss Velocity (ft/min)
N
∞
2
D e : Effective Diffusivity (ft /min)
Output(s)
N Pe *: Peclet Number (dimensionless)

Formula(s)

w v
N ¼ N
Pe ∞
2D
e
Reference: Williams, B. B., Gidley, J. L., & Schechter, R. S. (1979). Acidizing fundamentals. Henry L. Doherty Memorial
Fund of AIME, Society of Petroleum Engineers of AIME, Page: 62.

4.55 Perforation friction factor
Input(s)

q t : Total Flow Rate (bbl/min)
n: Number of Perforations (dimensionless)
d: Casing Entrance-Hole Diameter (in.)
C d : Discharge Coefficient (dimensionless)
2
ρ o : Oil Density (lbf/in. )

Output(s)
p f : Perforation Friction (Differential Pressure across Perforations) (psi)

Formula(s)

0:2369q ρ
2
p ¼ t 2 o
f
2 4
n d C d
Reference: Bell, W. T., Sukup, R. A., & Tariq, S. M. (1995). Perforating. Henry L. Doherty Memorial Fund of AIME, Society
of Petroleum Engineers, Page: 79.