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Drilling engineering formulas and calculations Chapter 2 105
Output(s)
q o : Pump Output (bbl/stroke)
Formula(s)
2
q ¼ 0:000162 d l
o r s
Reference: Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition,
Gulf Professional Publishing, Page: 8.
2.71 Duplex pump output by using liner and rod diameters
Input(s)
d l : Liner Diameter (in.)
d r : Rod Diameter (in.)
l s : Stroke Length (in.)
Output(s)
q o :Pump Output (bbl/stroke)
Formula(s)
2
2
q ¼ 0:000162 l 2 d l d r
s
o
Reference: Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition,
Gulf Professional Publishing, Page: 9.
2.72 Dynamically coupled linear flow—Formation invasion
Input(s)
x f : Transient Invasion Front (in.)
x f, o : Initial Displacement, i.e., Spurt (in.)
L: Lineal Core Length (in.)
p m : Constant Mud Pressure (psi)
p r : Constant Reservoir Pressure (psi)
Ø eff : Effective Rock Porosity (fraction)
Ø c : Mudcake Porosity (fraction)
k 1 : Mudcake Permeability to Filtrate (mD)
k 2 : Rock Permeability to Filtrate (mD)
k 3 : Rock Permeability to "Oil" (mD)
m f : Mud Filtrate Viscosity (cP)
m o : Viscosity of "Oil" or Formation Fluid (cP)
f s : Mud Solid Fraction (fraction)
Output(s)
x f (t): Minimum Number of Jobs to Survive in a Minimum Chance Scenario (dimensionless)
