New analytical functions for a skin and storage effect - An insight to decouple fracture half-length and square-root of permeability

The approximate early time solution obtained is identical to the solution obtained when the fracture is assumed to have a quadrilateral geometry. But it has two additional parameters. A detailed sensitivity analysis showed that fracture thickness does not have a significant impact on the producing characteristics. The approximate late-time solution has a production history identical to that observed from field production data. The approximate late-time solution also has a slope of two on a log-log plot of rate verses time; this has not been report before in the literature. A comparison of the approximate late-time solution to traditional linear fracture solutions with skin and storage effect lead to the development of new skin and fracture storage functions. The significance of this result is that the new skin and fracture storage functions suggest that they can be used to decouple the product of fracture half-length and the square-root of permeability from early-time production data.