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预测水驱油藏中油、水流动问题的快速方法

孙宪航 徐明海 巩亮 贾欣鑫 周辉

孙宪航, 徐明海, 巩亮, 贾欣鑫, 周辉. 预测水驱油藏中油、水流动问题的快速方法[J]. 应用数学和力学, 2015, 36(12): 1228-1237. doi: 10.3879/j.issn.1000-0887.2015.12.002
引用本文: 孙宪航, 徐明海, 巩亮, 贾欣鑫, 周辉. 预测水驱油藏中油、水流动问题的快速方法[J]. 应用数学和力学, 2015, 36(12): 1228-1237. doi: 10.3879/j.issn.1000-0887.2015.12.002
SUN Xian-hang, XU Ming-hai, GONG Liang, JIA Xin-xin, ZHOU Hui. A Fast POD-Based Method for Predicting Oil and Water Flow in Water-Drive Reservoir[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1228-1237. doi: 10.3879/j.issn.1000-0887.2015.12.002
Citation: SUN Xian-hang, XU Ming-hai, GONG Liang, JIA Xin-xin, ZHOU Hui. A Fast POD-Based Method for Predicting Oil and Water Flow in Water-Drive Reservoir[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1228-1237. doi: 10.3879/j.issn.1000-0887.2015.12.002

预测水驱油藏中油、水流动问题的快速方法

doi: 10.3879/j.issn.1000-0887.2015.12.002
基金项目: 国家自然科学基金(51276199);国家科技重大专项(2011ZX05017_004_HZ01)
详细信息
    作者简介:

    孙宪航(1987—),男,江苏连云港人,博士生(通讯作者. E-mail: sxh19871124@163.com).

  • 中图分类号: TE319

A Fast POD-Based Method for Predicting Oil and Water Flow in Water-Drive Reservoir

Funds: The National Natural Science Foundation of China(51276199); The National Science and Technology Major Project of China(2011ZX05017_004_HZ01)
  • 摘要: 以最佳正交分解(POD)技术为基础提出了一种快速预测油藏中油、水流动问题的方法.采用POD技术建立了水驱油藏中油、水两相流动的低阶模型.通过油藏数值模拟方法获得二维水驱油藏模型在时间0~500 d内的压力和含水饱和度的100个样本, 并从样本中提取出一组压力和含水饱和度的POD基函数.当注采参数不断变化后,采用已求得的POD基函数结合低阶模型对新的物理场进行预测.研究结果表明:POD方法能够快速、准确地预测出水驱油藏的压力和含水饱和度场,文中算例给出压力和含水饱和度场的预测误差分别不超过1.2%与1.5%,且计算速度比直接进行油藏数值模拟快50倍以上.
  • [1] Brouwer D R, Jansen J D. Dynamic optimization of water flooding with smart wells using optimal control theory[J].SPE Journal,2004,9(4): 391-402.
    [2] 张凯, 李阳, 姚军, 刘均荣, 闫霞. 油藏生产优化理论研究[J]. 石油学报, 2010,31(1): 78-82.(ZHANG Kai, LI Yang, YAO Jun, LIU Jun-rong, YAN Xia. Theoretical research on production optimization of oil reservoirs[J].Acta Petrolei Sinica,2010,31(1): 78-82.(in Chinese))
    [3] ZHU Yan, XIE Jin-zhuang, YANG Wei-hua, HOU Lian-hua. Method for improving history matching precision of reservoir numerical simulation[J].Petroleum Exploration and Development,2008,35(2): 225-229.
    [4] Marcé R, Moreno-Ostos E, García-Barcina J M, Armengol J. Tailoring dam structures to water quality predictions in new reservoir projects: assisting decision-making using numerical modeling[J].Journal of Environmental Management,2010,91(6): 1255-1267.
    [5] Berkooz G, Holmes P, Lumley J L. The proper orthogonal decomposition in the analysis of turbulent flows[J].Annual Review of Fluid Mechanics,1993,25(1): 539-575.
    [6] Singh S J, Chatterjee A. Galerkin projections and finite elements for fractional order derivatives[J].Nonlinear Dynamics,2006,45(1/2): 183-206.
    [7] Matre O P, Mathelin L. Equation-free model reduction for complex dynamical systems[J].International Journal for Numerical Methods in Fluids,2010,63(2): 163-184.
    [8] di Mare F, Knappstein R. Statistical analysis of the flow characteristics and cyclic variability using proper orthogonal decomposition of highly resolved LES in internal combustion engines[J].Computers & Fluids,2014,105: 101-112.
    [9] Weller J, Lombardi E, Bergmann M, Iollo A. Numerical methods for low-order modeling of fluid flows based on POD[J].International Journal for Numerical Methods in Fluids,2010,63(2): 249-268.
    [10] 腾飞, 罗振东. 非饱和土壤水流问题的降阶外推仿真模型[J]. 应用数学和力学, 2014,35(2): 148-161.(TENG Fei, LUO Zhen-dong. A reduced-order and extrapolation simulation model for unsaturated soil water flow equation[J].Applied Mathematics and Mechanics,2014,35(2):148-161.(in Chinese))
    [11] 丁鹏, 陶文铨. 求解对流换热反问题的低阶模型[J]. 西安交通大学学报, 2009,43(3): 14-16.(DING Peng, TAO Wen-quan. Reduced order model based algorithm for inverse convection heat transfer problem[J].Journal of Xi’an Jiaotong University,2009,43(3): 14-16.(in Chinese))
    [12] Van Doren J F M, Markovinovi? R, Jansen J D. Reduced-order optimal control of water flooding using proper orthogonal decomposition[J].Computational Geosciences,2006,10(1): 137-158.
    [13] Ly H V, Tran H T. Modeling and control of physical processes using proper orthogonal decomposition[J].Mathematical and Computer Modelling,2001,33(1): 223-236.
    [14] Sirovich L. Turbulence and the dynamics of coherent structures: I—coherent structures; II—symmetries and transformations; III—dynamics and scaling[J].Quarterly of Applied Mathematics,1987,45(1): 561-571.
    [15] 李淑霞, 谷建伟. 油藏数值模拟基础[M]. 山东: 中国石油大学出版社, 2008: 178-179.(LI Shu-xia, GU Jian-wei.Basis of Numerical Reservoir Simulation [M]. Shandong: China University of Petroleum Press, 2008: 178-179.(in Chinese))
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出版历程
  • 收稿日期:  2015-06-11
  • 修回日期:  2015-09-30
  • 刊出日期:  2015-12-15

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