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Transition zone diagnosis in finite fractured reservoirs. (English) Zbl 1439.86011

Summary: A major part of world hydrocarbon resources is located in fractured reservoirs. The identification of fractured reservoir parameters is essential for their optimal production. The Warren-Root model is one of the most fundamental models for fluid flow in fractured reservoirs. The simplified assumption of the Warren-Root model is not applicable for a finite reservoir, and transition zone cannot be detected in finite fractured reservoirs. In this study, the significance of the fractured reservoir boundary effect in the Warren-Root equation is investigated. Also, the numerical solutions of the Warren-Root model are proposed for all types of boundary conditions. Results show that in some cases, it is impossible to diagnose the transition zone in fractured reservoirs from dimensionless curves due to the transition zone and boundary effect interference. This interference is specifically observed in finite fractured reservoirs and it is a function of the interprosity parameter (\( \lambda \)) and reservoir dimensionless radius (\(\mathrm{r_{De}}\)). This functionality is presented and discussed in the cases of constant production rate and constant pressure production conditions. The proposed equations are applicable to all types of boundary conditions.

MSC:

86-10 Mathematical modeling or simulation for problems pertaining to geophysics
86A05 Hydrology, hydrography, oceanography
76S05 Flows in porous media; filtration; seepage

Software:

Algorithm 368
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Full Text: DOI

References:

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