Numerical simulation method is used in this work to solve the problem of transient and pseudosteady-state flow of fluid in a rectangular reservoir with impermeable boundaries. Development and validation of the numerical solution for various well-fracture configurations are the main objectives of this research. The specific case of horizontal well intersected by multiple transverse fractures is the focus of the investigation. The solutions for different operating conditions, constant rate and constant pressure, are represented in the form of transient ? peudosteady-state productivity indices. The numerical simulator is validated by comparing results to known analytical solution for radial flow, existing models of productivity for vertical well intersected by vertical fracture, and also with published tables of shape factors.Numerical simulation is a powerful tool to predict well performance. The complexities of well-fracture configurations can be modeled in a truly 3-dimensional system and the pressure and productivity responses for all of the flow regimes can be computed efficiently, enabling optimization of the well-fracture system.
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