A dual porosity formulations coupled geomechanics to two-phase fluid Flow in fractured reservoirs are developed and a Petrov-Galerkin finite element method is utilized. Formulations for saturation, with a time variable only, is incorporated with the displacement and pore pressures, which are fully coupled and solved simutaneously. A linear shape function is used for the pressures and saturation, and a quadratic one for displacement to avoid numerical oscillation. A consistent weighting function similar to the linear shape function is used for all interpolated variables. Solutions for pore pressures, stresses, and saturations near a wellbore and a hydraulic fracture in the dual porosity system simulating a fractured reservoir and in different phases are presented

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