Efficiency of Using a Proxy Model for Modeling of Reservoir Pressure

E. Yudin, N. Markov, V. Kotezhekov, Svetlana O. Kraeva, A. Makhnov, N. Trubnikov, L. Gorbushin
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Abstract

The presented paper is devoted to the development and testing of a computational tool for assessment of the reservoir pressure and prompt generation of the pressure maps of collectors. The tool is based on a proxy model that allows to solve the two-dimensional diffusion equation for unsteady liquid filtration using the boundary element method. To expand the applicability of the proxy model, an algorithm for automated parameter adaptation was developed. This algorithm allows to exclude knowingly unreliable data or low-quality data from modeling. This is achieved due to analyzing the correlation between the injection, production and bottom-hole pressures for the entire well stock over the history of the reservoir development. In addition, this paper describes an approach to modeling two-phase oil and gas filtration based on the use of pseudofunctions. This approach considers the influence of gas on the oil filtration process. The use of pseudofunctions allows us to linearize the diffusion equation for two-phase filtration and to solve it using the boundary element method in the same manner as for the case of oil filtration without gas. To demonstrate the results of the proxy model validation, examples of its use for generating the pore pressure maps for two real collectors are given. The average values of the reservoir pressure at the wells calculated using the proxy model are compared with the results of the corresponding well tests and with the traditional isobar maps. The analysis showed that the average deviation of the proxy model from the real reservoir pressures is less than 10%.
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用代理模型模拟油藏压力的有效性
本文致力于开发和测试一种计算工具,用于评估储层压力和及时生成集热器压力图。该工具基于代理模型,该模型允许使用边界元方法求解非定常液体过滤的二维扩散方程。为了扩大代理模型的适用性,提出了一种自动参数自适应算法。该算法允许从建模中排除故意不可靠的数据或低质量的数据。这是通过分析整个油藏开发历史中注入、生产和井底压力之间的相关性而实现的。此外,本文还介绍了一种基于伪函数的两相油气过滤建模方法。该方法考虑了气体对油过滤过程的影响。伪函数的使用使我们能够线性化两相过滤的扩散方程,并以与无气油过滤相同的方式使用边界元方法来求解它。为了证明代理模型验证的结果,给出了其用于生成两个实际收集器的孔隙压力图的示例。将代理模型计算的各井平均压力与相应试井结果和传统等压线图进行了比较。分析表明,该模型与实际储层压力的平均偏差小于10%。
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