This study presents a parametric study to evaluate the performance of the vertical and horizontal wellbores with and without fractures and frac-and-packs, and multi-lateral horizontal wells with various laterals and branches for different carbonate reservoir characteristics. Series of three phase and three dimensional mathematical models are prepared to simulate the naturally fractured carbonate reservoir performance under various scenarios. A novel approach is utilized to effectively simulate the performance of the hydraulic fractures by considering the induced fractures as a boundary condition for the reservoir system.

Potential stimulation and completion techniques are compared by three measures: Effective normalized cumulative hydrocarbon production, volume fraction of the influenced reservoir domain, and normalized damage ratio. Performance and economical analyses are carried out, indicating that the completion methods covering more reservoir volume and effectively connecting the natural fractures to the wellbore yield a higher efficiency. It is demonstrated that the effectiveness of all the stimulation techniques strongly depends on the angle by which the natural fractures are intersected throughout the reservoir, and the normalized damage ratio caused by the completion and stimulation technique. The economical analysis and evaluation help determine the best completion and stimulation technique.

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