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首页> 外文期刊>Journal of Computational Physics >Decoupled overlapping grids for the numerical modeling of oil wells
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Decoupled overlapping grids for the numerical modeling of oil wells

机译:解耦的重叠网格用于油井的数值模拟

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摘要

Accurate computation of time-dependent well bore pressure is important in well test analysis - a branch of petroleum engineering where reservoir properties are estimated by comparing measured pressure responses at an oil well to results from a mathematical model. Similar methods are also used in groundwater engineering. In this paper we present the new approach of decoupled overlapping grids for accurately computing time-dependent pressure at the oil well. Our method is implemented in two stages: a global stage with a simple point or line source well approximation, and a local post-process stage with the well modeled correctly as an internal boundary. We investigate the accuracy of our method for a representative 2D problem in both homogeneous and heterogeneous isotropic domains, and compare our results with the widely used Peaceman well index solution (in the homogeneous case), and the approximate solution on locally refined grids. We also present a theoretical analysis that explains the observed O(h2) behavior of the error in our method for the homogeneous case.
机译:随时间变化的井筒压力的准确计算在试井分析中很重要-石油工程学的一个分支机构,通过将油井中测得的压力响应与数学模型的结果进行比较来估算储层的性质。在地下水工程中也使用了类似的方法。在本文中,我们提出了一种解耦重叠网格的新方法,用于精确计算油井中随时间变化的压力。我们的方法分两个阶段实施:具有简单点或线源井近似的全局阶段,以及以井为正确边界建模的局部后处理阶段。我们研究了均质和异质各向同性域中代表二维问题的方法的准确性,并将我们的结果与广泛使用的Peaceman井指数解(在均质情况下)以及局部精炼网格上的近似解进行了比较。我们还提出了理论分析,解释了在均质情况下我们的方法中观察到的误差的O(h2)行为。

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