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An upscaling approach using adaptive multi-resolution upgridding and automated relative permeability adjustment

机译:使用自适应多分辨率向上网格划分和自动相对渗透率调整的扩展方法

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The upscaling process of a high-resolution geostatistical reservoir model to a dynamic simulation grid model plays an important role in a reservoir study. Several upscaling methods have been proposed in order to create balance between the result accuracy and computation speed. Usually, a high-resolution grid model is upscaled according to the heterogeneities assuming single phase flow. However, during injection processes, the relative permeability adjustment is required. The so-called pseudo-relative permeability curves are accepted, if their corresponding coarse model is a good representation of the fine-grid model. In this study, an upscaling method based on discrete wavelet transform (WT) is developed for single-phase upscaling based on the multi-resolution analysis (MRA) concepts. Afterwards, an automated optimization method is used in which evolutionary genetic algorithm is applied to estimate the pseudo-relative permeability curves described with B-spline formulation. In this regard, the formulation of B-spline is modified in order to describe the relative permeability curves. The proposed procedure is evaluated in the gas injection case study from the SPE 10th comparative solution project's data set which provides a benchmark for upscaling problems [1]. The comparisons of the wavelet-based upscaled model to the high-resolution model and uniformly coarsened model show considerable speedup relative to the fine-grid model and better accuracy relative to the uniformly coarsened model. In addition, the run time of the wavelet-based coarsened model is comparable with the run time of the uniformly upscaled model. The optimized coarse models increase the speed of simulation up to 90% while presenting similar results as fine-grid models. Besides, using two different production/injection scenarios, the superiority of WT upscaling plus relative permeability adjustment over uniform upscaling and relative permeability adjustment is presented. This study demonstrates the proposed upscaling workflow as an effective tool for a reservoir simulation study to reduce the required computational time.
机译:从高分辨率地统计油藏模型到动态模拟网格模型的升级过程在油藏研究中起着重要作用。为了在结果精度和计算速度之间取得平衡,已经提出了几种放大方法。通常,高分辨率网格模型是根据假设单相流的非均质性进行放大的。但是,在注入过程中,需要进行相对渗透率调整。如果它们的相应粗略模型可以很好地表示精细网格模型,则可以接受所谓的伪相对渗透率曲线。在这项研究中,基于多分辨率分析(MRA)概念,针对单相放大,提出了一种基于离散小波变换(WT)的放大方法。之后,使用一种自动优化方法,其中使用进化遗传算法来估计用B样条公式描述的伪相对渗透率曲线。在这方面,修改B样条的公式以描述相对渗透率曲线。 SPE第十比较解决方案项目的数据集在注气案例研究中对提出的程序进行了评估,该数据集为扩展问题提供了基准[1]。基于小波的放大模型与高分辨率模型和均匀粗化模型的比较表明,相对于细网格模型,加速明显提高,相对于均匀粗化模型,精度更高。此外,基于小波的粗化模型的运行时间可与均匀放大模型的运行时间相媲美。经过优化的粗略模型将模拟速度提高了90%,同时呈现出与细网格模型相似的结果。此外,使用两种不同的生产/注入方案,提出了WT扩建加相对渗透率调整优于均匀扩建和相对渗透率调整的优势。这项研究证明了拟议的扩大规模工作流程是进行油藏模拟研究以减少所需计算时间的有效工具。

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