Page 230 - Formulas and Calculations for Petroleum Engineering

Production engineering formulas and calculations Chapter 4 223

4.43 Hydraulic horse power for a hydraulic fracturing operation

Input(s)
P inj : Injection Pressure (psi)
q t : Injection Rate (bbl/day)

Output(s)
H h : Hydraulic Horse Power (hp)

Formula(s)

H ¼ 0:0245 P q
h inj t

Reference: Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 24.

4.44 Ideal fracture conductivity created by acid reaction (acidizing)

Input(s)
h: Fracture Height (ft)
3
i: Injection rate (ft /min)
t: Time (min)
xL: Acid Penetration Distance (ft)
3
3
X: Acid Dissolving Power (ft /ft )
Ø: Porosity (per cent)
Output(s)

w a : Opened Channel of (Dissolved) Width (ft)

Formula(s)

X i t
w ¼
a
2 xL h 1 ØÞ
ð
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: 49.

4.45 Incremental density in any wellbore interval (completion and workover fluids)
Input(s)

g p : Pressure Gradient (psi/ft)
ΔD: Depth Interval (ft)
B: Pressure Compressibility Coefficient (lbm/gal/1000 psi)
1
A: Thermal Expansion Coefficient (°F )
g T : Temperature Gradient (°F/ft)

Output(s)

Δρ i : Incremental Wellbore Fluid Density Change (lbm/bbl)