Page 33 - Formulas and Calculations for Petroleum Engineering

26 Formulas and calculations for petroleum engineering

1.56 Hagen Poiseuille equation

Input(s)
P o : Input Pressure (psi)
P L : Output Pressure (psi)
R: Radius (ft)
w: Mass rate of Flow (lb/s)
r: Density (ppg)
L: Length (ft)

Output(s)
m: Viscosity (cP)

Formula(s)

4
ð P P Þ p R Þ r
ð
o
L
m ¼
8 w L
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 2, Page: 51.
1.57 Hagoort and Hoogstra gas flow in tight reservoirs

Input(s)
G: Transmissibility between Compartments (dimensionless)
P 1 : Pressure of Compartment 1 (psi)
P 2 : Pressure of Compartment 2 (psi)
m gavg : Average Viscosity (cP)
B gavg : Average Gas Formation Factor (MSCF/STB)

Output(s)

Q: Gas Flow (MSCF/d)

Formula(s)

2 2
G P P 2
1
Q ¼
B
1
2 P m gavg gavg
Reference: Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3,
Page: 236.
1.58 Hammerlindl method for gas in place

Input(s)

G app : Apparent Gas in Place (SCF)
R: Ratio of the effective Total System Compressibility to gas Compressibility (dimensionless)

Output(s)
G: Gas in Place (SCF)