Page 261 - Formulas and Calculations for Petroleum Engineering

254 Formulas and calculations for petroleum engineering

4.110 Wellbore 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: Inner Diameter of Pipe (in.)

Output(s)

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

Formula(s)

f L ρ v 2
ΔP ¼
f
25:80 d
Reference: Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 31.

4.111 Wellbore storage

Input(s)
ΔV m : Change in the Volume of Fluid in the Wellbore (bbl)
ΔP: Change in Pressure (psi)

Output(s)
C: Wellbore Storage Coefficient (bbl/psi)

Formula(s)

ΔV m
C ¼
ΔP

Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 1,
Page: 49.

4.112 Wellbore storage due to fluid level
Input(s)
2
A a : Annulus Cross Sectional Area (ft )
3
ρ: Wellbore Fluid Density (lb/ft )

Output(s)

C FL : Wellbore Storage Coefficient (bbl/psi)