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A multilevel preconditioner and its shared memory implementation for a new generation reservoir simulator

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分类：TP316[自动化与计算机技术—计算机软件与理论;自动化与计算机技术—计算机科学与技术] TE319[石油与天然气工程—油气田开发工程]
作者机构：[1]State Key Laboratory of Enhanced Oil Recovery, Beijing 100083, China, [2]Research Institute of Petroleum Exploration and Development, PetroChina, Beijing 100083, China, [3]Department of Mathematics, Penn State University, Univerisity Park, USA, [4]School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, China, [5]Academy of Mathematics and System Sciences, Beijing 100190 China
相关基金：The authors would like to thank RIPED, PetroChina, for providing data for the numerical tests and support through PetroChina New-generation Reservoir Simulation Software （2011A-1010）, the Program of Research on Continental Sedimentary Oil Reservoir Simulation （z121100004912001） founded by Beijing Municipal Science ＆ Technology Commission and PetroChina Joint Research Funding12HT1050002654. Feng is partially supported by the NSFC Grant 11201398, and Hunan Provincial Natural Science Foundation of China Grant 14JJ2063 and Specialized Research Fund for the Doctoral Program of Higher Education of China Grant 20124301110003. Zhang is partially supported by the Dean＇s Startup Fund, Academy of Mathematics and System Sciences and the State High Tech Development Plan of China （863 Program） 2012AA01A309. Shu is partially supported by NSFC Grant 91130002 and Program for Changjiang Scholars and Innovative Research Team in University of China Grant IRT1179 and by the Scientific Research Fund of the Hunan Provincial Education Department of China Grant 12A 138.

作者： Wu Shuhong[1,2], Xu Jinchao[3], Feng Chunsheng[4], Zhang Chen-Song[5], Li Qiaoyun[2], Shu Shi[4], Wang Baohua[2], Li Xiaobo[2], Li Hua[2]

关键词：油藏模拟器, 预处理器, 共享内存, 多层次, 计算机硬件, 精细油藏描述, 相互作用, 并行实现, Multilevel, preconditioner, shared memory, large-scale linear system, reservoir simulation

中文摘要：

由于在在计算机硬件，软件，和算法的进展之间的相互影响，我们现在在大规模水库模拟的一个新时代，它集中于精确流动描述，好水库描述，有效非线性 / 线性的解答者，和平行实现。在这份报纸，我们在 multicore 计算机上在一个新产生的模拟器和它的实现讨论 multilevel preconditioner。这 preconditioner 依靠 subspace 修正的方法解决在水库模拟从充分含蓄的方法产生的大规模线性系统。我们由把它用于百万房间的基准问题调查建议方法的平行效率和坚韧性。

英文摘要：

As a result of the interplay between advances in computer hardware, software, and algorithm, we are now in a new era of large-scale reservoir simulation, which focuses on accurate flow description, fine reservoir characterization, efficient nonlinear/linear solvers, and parallel implementation. In this paper, we discuss a multilevel preconditioner in a new-generation simulator and its implementation on multicore computers. This preconditioner relies on the method of subspace corrections to solve large-scale linear systems arising from fully implicit methods in reservoir simulations. We investigate the parallel efficiency and robustness of the proposed method by applying it to million-cell benchmark problems.

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