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Fractional Flow Curve Formulas and Calculator

Civil Engineering Design and Engineering
Fluids Engineering and Design

Fractional Flow Curve Formulas and Calculator

A fractional flow curve (f_w versus S_w) is used to describe the immiscible fluid displacement process, S_w (prevailing water saturation)

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Eq. 1 (Simplified form of fractional flow equation)
f_w = 1 / [ 1 + ( µ_w · k_ro ) / ( k_rw · µ_o ) ]

Where:

µ_w = Water Viscosity (cP)
k_rw = Relative Permeability to Water (dimensionless)
k_ro = Relative Permeability to Oil or alternative Fluid (dimensionless)
µ_o = Oil Viscosity (cP)
f_w = Fraction of Total Flowing Stream Composed of Water (dimensionless)

cP = centipose

Source:

Reference: Craig Jr. F. F., 2004, the Reservoir Engineering Aspects of Waterflooding, Vol. 3. Richardson, Texas: Monograph Series, SPE, Page: 112.

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