Constant flow, rate solutions are presented for a fractured reservoir with transient interporosity flow in a convolution form, considering the associated with fractures and associates with matrix.

New solutions are presented for two cases, where there is no primary flow through the microfractures and where the compressive and distensive strength process has created an interconnected system of microfractures. In both cases there is an interaction between matrix, microfractures, and fracture systems.

The numerical inversion was carried out with Stehfest's algorithm. In addition, approximate analytical solution for short and long dimensionless time are obtained, and are compared with the solution obtained by numerical inversion providing satisfactory results. The values of the numerical inversion were used to generate the "type curve", presented in terms of the dimensionless groups obtained from the approximate analytical solution.

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