The equations to calculate the thickness averaged or pseudo-relative permeabilities across the section for edge waterdrive, where the nth layer out of a total of N has flooded with water are given below :

 

 

 

Where for waterdrive in an inclined reservoir, if the displacement is in the more gravity stable updip direction, then the equation for the fractional flow of water is as follows :

 

 

Welge's equation, expressed in hydrocarbon pore volumes, is provided below :

 

 

where.

 

 

The expression to calculate surface watercut from the reservoir fractional flow value is provided below;

 

 

 

Catering for the Presence of Edge Water in VE Waterdrive

 

Dake proposed the following modification of the standard Welge equation to account for edge water in a dipping reservoir undergoing vertical equilibrium displacement.

 

 

 

 

 

 

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