EFFECT OF DISCRETIZATION ON CALCULATION OF SLANT WELL PRODUCTIVITY INDEX IN NUMERICAL RESERVOIR SIMULATION

K. Fayyaz, M. Hekmatzadeh, S. Gerami
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Abstract

Slant well is a non-vertical form of wells used typically for extracting oil and gas resources that cannot be accessed through traditional vertical well drilling. Deviation in these wells results in the geometric skin factor, which has a negative value and increases the productivity index. Various analytical/semi-analytical equations estimate the geometric skin factor for the slant well for slightly compressible fluids. This study attempts to show that the productivity calculated by numerical simulation for the slant well in a single-phase (oil/gas) reservoir is sensitive to grid resolution. For this purpose, first, a slant well is defined within a local grid refinement (“LGR”) system. Afterwards, the slant skin factor is calculated for cases having different LGR resolution for a constant degree of inclination to find a reasonable LGR system. Then, the applicability of this optimum LGR for all deviation angles with comparison with analytical model is evaluated. This evaluation shows that optimum LGR is particular for each well deviation angle. Although some of the analytical/semi analytical models are developed for slightly compressible fluids, these models also are applicable for compressible fluids (i.e. dry gas). Furthermore, the calculated skin for the slant well in numerical simulation for optimum LGR is not sensitive to production rate or oil viscosity.
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离散化对油藏数值模拟斜井产能指数计算的影响
斜井是一种非直井形式的井,通常用于开采传统直井钻井无法获得的油气资源。这些井的井斜导致几何表皮系数为负值,从而提高了产能指数。对于轻度可压缩流体,各种解析/半解析方程估计斜井的几何表皮因子。本研究试图表明,通过数值模拟计算的单相(油/气)油藏斜井产能对网格分辨率非常敏感。为此,首先在局部网格细化(LGR)系统中定义斜井。然后,在倾斜程度不变的情况下,计算不同LGR分辨率情况下的倾斜表皮因子,找到合理的LGR系统。然后,通过与解析模型的比较,评价了该最优LGR对所有偏差角度的适用性。评价结果表明,对于每个井斜角度,最佳LGR是特定的。虽然有些分析/半分析模型是为轻度可压缩流体开发的,但这些模型也适用于可压缩流体(即干气体)。此外,数值模拟中计算的斜井最优LGR表皮对产量和油粘度不敏感。
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