Page 214 - Formulas and Calculations for Petroleum Engineering

Production engineering formulas and calculations Chapter 4 207

Formula(s)

C C
lsi msf
m ¼ VðÞ C
ms i msi
C
lsf
C W
lsi f
V ¼ VðÞ W
w i i
C
lsf
C V
lsi i
V ¼
f
C
lsf
Reference: Bridges, K. L. (2000). Completion and Workover Fluids (Vol. 19). Society of Petroleum Engineers, Page: 56.
4.6 Annulus pressure loss due to friction during hydraulic fracturing (laminar flow)

Input(s)
v: Average Velocity (ft/s)
L: Pipe Length (ft)
d 0 : Inner Diameter of the Outer Pipe (in.)
d 1 : Outer Diameter of the Inner Pipe (in.)
μ p : Plastic Viscosity (cP)
2
τ y : Yield Point of the Liquid (lb/100ft )

Output(s)

ΔP f : Pressure Loss in the wellbore due to Frictions during Hydraulic Fracturing (psi)

Formula(s)

μ Lv τ L
y
p
ΔP ¼ 2 +
f
1000 d dð Þ 200 d dð 0 i Þ
0 i
Reference: Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publiching Co., Page: 31.

4.7 Annulus pressure loss due to friction during hydraulic fracturing (turbulence flow)

Input(s)
ρ: Liquid Density (lb/gal)
v: Average Velocity (ft/s)
f: Fanning Friction Factor (dimensionless)
L: Pipe Length (ft)
d 0 : Inner Diameter of the Outer Pipe (in.)
d 1 : Outer Diameter of the Inner Pipe (in.)

Output(s)

ΔP f : Pressure Loss in the wellbore Sourced by Frictions during Hydraulic Fracturing (psi)