Unlocking Ensemble History Matching Potential with Parallelism and Careful Data Management

G. Fighera, Ernesto Della Rossa, P. Anastasi, Mohammed Amr Aly, T. Diamanti
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Abstract

Improvements in reservoir simulation computational time thanks to GPU-based simulators and the increasing computational power of modern HPC systems, are paving the way for a massive employment of Ensemble History Matching (EHM) techniques which are intrinsically parallel. Here we present the results of a comparative study between a newly developed EHM tool that aims at leveraging the GPU parallelism, and a commercial third-party EHM software as a benchmark. Both are tested on a real case. The reservoir chosen for the comparison has a production history of 3 years with 15 wells between oil producers, and water and gas injectors. The EHM algorithm used is the Ensemble Smoother with Multiple Data Assimilations (ESMDA) and both tools have access to the same computational resources. The EHM problem was stated in the same way for both tools. The objective function considers well oil productions, water cuts, bottom-hole pressures, and gas-oil-ratios. Porosity and horizontal permeability are used as 3D grid parameters in the update algorithm, along with nine scalar parameters for anisotropy ratios, Corey exponents, and fault transmissibility multipliers. Both the presented tool and the benchmark obtained a satisfactory history match quality. The benchmark tool took around 11.2 hours to complete, while the proposed tool took only 1.5 hours. The two tools performed similar updates on the scalar parameters with only minor discrepancies. Updates on the 3D grid properties instead show significant local differences. The updated ensemble for the benchmark reached extreme values for porosity and permeability which are also distributed in a heterogeneous way. These distributions are quite unlikely in some model regions given the initial geological characterization of the reservoir. The updated ensemble for the presented tool did not reach extreme values in neither porosity nor permeability. The resulting property distributions are not so far off from the ones of the initial ensemble, therefore we can conclude that we were able to successfully update the ensemble while persevering the geological characterization of the reservoir. Analysis suggests that this discrepancy is due to the different way by which our EHM code consider inactive cells in the grid update calculations compared to the benchmark highlighting the fact that statistics including inactive cells should be carefully managed to correctly preserve the geological distribution represented in the initial ensemble. The presented EHM tool was developed from scratch to be fully parallel and to leverage on the abundantly available computational resources. Moreover, the ESMDA implementation was tweaked to improve the reservoir update by carefully managing inactive cells. A comparison against a benchmark showed that the proposed EHM tool achieved similar history match quality while improving the computation time and the geological realism of the updated ensemble.
利用并行性和谨慎的数据管理解锁集成历史匹配潜力
由于基于gpu的模拟器和现代高性能计算系统不断增强的计算能力,油藏模拟计算时间的改进为大规模采用本质上并行的集成历史匹配(EHM)技术铺平了道路。在这里,我们展示了一项新开发的EHM工具(旨在利用GPU并行性)和一个商业第三方EHM软件作为基准之间的比较研究结果。两者都在一个真实的案例中进行了测试。选择用于比较的储层有3年的生产历史,有15口井,包括采油者和注水井和注气井。使用的EHM算法是具有多数据同化的集成平滑器(ESMDA),这两个工具都可以访问相同的计算资源。对于这两种工具,EHM问题的表述方式相同。目标函数考虑了油井产量、含水率、井底压力和油气比。在更新算法中,孔隙度和水平渗透率被用作三维网格参数,各向异性比、Corey指数和断层透射率乘子的9个标量参数也被用作三维网格参数。所提出的工具和基准都获得了令人满意的历史匹配质量。基准测试工具花了大约11.2个小时来完成,而提议的工具只花了1.5个小时。这两个工具对标量参数执行类似的更新,只有很小的差异。3D网格属性的更新反而显示出显著的局部差异。更新后的基准集合达到了孔隙度和渗透率的极值,这些极值也以非均质方式分布。考虑到储层的初始地质特征,这些分布在一些模型区域是不太可能的。该工具的更新组合在孔隙度和渗透率方面都没有达到极端值。所得的性质分布与初始集合的性质分布相差不大,因此我们可以得出结论,我们能够在保持储层地质特征的同时成功地更新集合。分析表明,这种差异是由于我们的EHM代码在网格更新计算中考虑非活动单元的方式与基准测试不同,这突出了一个事实,即包括非活动单元的统计数据应该被仔细管理,以正确地保留初始集合中所代表的地质分布。提出的EHM工具是从头开始开发的,以实现完全并行,并利用大量可用的计算资源。此外,还对ESMDA的实现进行了调整,通过仔细管理非活动单元来改进储层更新。与基准的比较表明,所提出的EHM工具在提高计算时间和更新后集合的地质真实感的同时,取得了相似的历史匹配质量。
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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