Several works have tried to address hydraulic fracturing treatments using a unified theory approach based on the dimensionless productivity index concept. The observations and recommendations from these works are based on numerical simulation, resulting from single phase liquid and simplifications such as steady state or pseudo steady state conditions. However, the behavior in the reservoir is not a simplified one and the assumptions made previously by other authors limit the application of the technique.

In this paper we present the correct and rigorous mathematical solution of the dimensionless productivity index. The application of a General Expression for Dimensionless Productivity in Bounded Reservoirs is presented and applied to multiwell systems

Field examples and results are presented, where production analysis suggested changes and optimization of fracturing fluids, breakers, job sizes, designs, types and mass of proppant, etc. Guidelines for performance optimization and practical standards are obtained from field production results and are also presented.

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