Advanced Assisted History Matching of a Large Mature Oil Field Based on a Huge Number of Grid-Block Level Parameters and Saturation Functions

H. Almuallim, L. Ganzer, H. Uematsu, S. Bellah, V. Vîrlan
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Abstract

Constructing reservoir models that are consistent with geophysical and geological static data is well understood. A persisting challenge is to condition such models to the available production dynamic data through the process of history-matching. A new algorithm is utilized to identify influencing grid-block properties based on analytical sensitivity calculations. The derived sensitivities allow efficient modification of grid-block properties and saturation functions to improve the history-match. This innovative approach preserves the geological model features, because changes are done at the grid-block level and are only as small as needed to achieve a good match. Usually, the number of parameters is so immense that engineers have to either restrict their attention to a small subset of the parameters (and likely missing crucial ones), or unnecessarily pay extremely high simulation costs. In this paper, we employ a new assisted history-matching technique that computes the parameter sensitivities analytically and for each grid-block. Here, the derivatives of the mismatch with respect to each parameter are rigorously computed based on the black-oil simulator's fluid flow equations. Hence, a single simulation run followed by a derivatives calculation session is sufficient to detect how each parameter affects the mismatch, and consequently, to decide how (or whether) to change each parameter to improve the match. This technique was successfully applied to history-match a mature oil field in the Middle East. Two sets of parameters are modified: The permeability in 3 directions per grid block, and relative permeability curves for about 50 saturation regions. The goal was to match water-cut for individual wells. With this analytical technique, excellent improvement in the match was achieved after only a dozen simulation runs and within a couple of days. Because the modifications are at the grid block level and minimal (only as and where needed), the technique preserves the original geological features of the model to a great extent. Eliminating the need of manual local modifications (e.g. box multipliers) is an important advantage of the method. The relative permeability curves have been tweaked successfully for numerous saturation regions using Corey model parameters. The ability to adjust many curves successfully using just a few simulation runs represents a significant advancement in the field of assisted history-matching.
基于大量网格块水平参数和饱和度函数的大型成熟油田先进辅助历史拟合
建立与地球物理和地质静态数据一致的储层模型是很好的理解。一个持续存在的挑战是通过历史匹配过程使这些模型适应可用的生产动态数据。提出了一种基于解析灵敏度计算的网格块特性识别新算法。推导出的灵敏度允许有效地修改网格块属性和饱和度函数,以改善历史匹配。这种创新的方法保留了地质模型的特征,因为更改是在网格块级别进行的,并且只需尽可能小的更改即可实现良好的匹配。通常情况下,参数的数量是如此巨大,以至于工程师不得不将他们的注意力限制在参数的一小部分(很可能会遗漏关键的参数),或者不必要地付出极高的模拟成本。在本文中,我们采用了一种新的辅助历史匹配技术,对每个网格块的参数灵敏度进行分析计算。在这里,根据黑油模拟器的流体流动方程,严格计算了失配对每个参数的导数。因此,在导数计算会话之后运行一次模拟就足以检测每个参数如何影响不匹配,从而决定如何(或是否)更改每个参数以改善匹配。该技术已成功应用于中东某成熟油田的历史拟合。修改了两组参数:每个网格块3个方向的渗透率和约50个饱和区域的相对渗透率曲线。目标是匹配单口井的含水率。利用这种分析技术,仅在十几次模拟运行后,在几天内就实现了出色的比赛改进。由于修改是在网格块级别并且最小(仅在需要的地方),因此该技术在很大程度上保留了模型的原始地质特征。该方法的一个重要优点是消除了手工局部修改的需要(例如盒乘法器)。利用Corey模型参数成功地调整了许多饱和区域的相对渗透率曲线。只需几次模拟运行就能成功调整许多曲线,这是辅助历史匹配领域的重大进步。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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