Page 225 - Formulas and Calculations for Petroleum Engineering

218 Formulas and calculations for petroleum engineering

υ: Poisson (dimensionless)
P f : Fracture Pressure (psi)
S c : Least Principle Stress (psi)
E: Young Modulus (psi)
ΔP: Pressure Gradient (psi)

Output(s)
3
Q: Flow Rate (ft /s)

Formula(s)

13
0 1

0
2
ð
L 1 υ Þ P S
π ΔP f c
B C
Q ¼ @ @ A
8 μ E A
Reference: Mark D. Zoback., Reservoir Geomechanics, Cambridge University Express, UK, Page: 142.
4.32 Formation fluid compressibility (acidizing)
Input(s)
1
K o , K w , K g : Isothermal coefficient of Compressibility of Reservoir Oil. Water and Gas (psi )
S o , S w , S g : Oil, Water and Gas Saturation Fractions (dimensionless)

Output(s)

K fl : Fracture Conductivity (mD in.)

Formula(s)

K ¼ S K Þ + S K Þ + S K g
ð
ð
g
w
w
o
o
fl
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: 56.
4.33 Fracture area of a hydraulically fractured formation
Input(s)
3
q i : Injection Rate (m /min)
W: Fracture Thickness (ft)
t: Injection Time (min)
p
ffiffiffiffiffiffiffiffiffi
C: Fracture Liquid Coefficient m= min)

Output(s)
2
A(t): Fracture Area in time “t” (m )