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油藏油水两相流低阶模型算法

贾欣鑫 王雷 张浩 孙小玲 段利亚 王鑫

贾欣鑫, 王雷, 张浩, 孙小玲, 段利亚, 王鑫. 油藏油水两相流低阶模型算法[J]. 应用数学和力学, 2021, 42(9): 891-899. doi: 10.21656/1000-0887.410235
引用本文: 贾欣鑫, 王雷, 张浩, 孙小玲, 段利亚, 王鑫. 油藏油水两相流低阶模型算法[J]. 应用数学和力学, 2021, 42(9): 891-899. doi: 10.21656/1000-0887.410235
JIA Xinxin, WANG Lei, ZHANG Hao, SUN Xiaoling, DUAN Liya, WANG Xin. A Low-Order Model Method for 2-Phase Oil Reservoir Simulation[J]. Applied Mathematics and Mechanics, 2021, 42(9): 891-899. doi: 10.21656/1000-0887.410235
Citation: JIA Xinxin, WANG Lei, ZHANG Hao, SUN Xiaoling, DUAN Liya, WANG Xin. A Low-Order Model Method for 2-Phase Oil Reservoir Simulation[J]. Applied Mathematics and Mechanics, 2021, 42(9): 891-899. doi: 10.21656/1000-0887.410235

油藏油水两相流低阶模型算法

doi: 10.21656/1000-0887.410235
基金项目: 

国家自然科学基金(61702308

51504146)

山东省重大科技创新工程(2018YFJH0705)

详细信息
    作者简介:

    贾欣鑫(1983—),男,副研究员,博士(通讯作者. E-mail: jiaxx@qlu.edu.cn).

    通讯作者:

    贾欣鑫(1983—),男,副研究员,博士(通讯作者. E-mail: jiaxx@qlu.edu.cn).

  • 中图分类号: TK121

A Low-Order Model Method for 2-Phase Oil Reservoir Simulation

Funds: 

The National Natural Science Foundation of China(61702308

51504146)

  • 摘要: 目前,油藏数值模拟主要采用的方法如有限元方法、有限容积法等在油藏数值计算时均需要较长的计算时间,很大程度上限制了油藏注采的实时预测与快速动态模拟.该文以一种高效的数据处理方法(最佳正交分解(POD)方法)为基础,对油藏油、水两相流抽取特征函数,并对油藏两相流模型进行Galerkin投影得到新的低阶计算模型.数值计算表明,POD方法所得到的特征向量能量具有最优的特征,能以较少的特征向量捕捉到数学模型中较大的“能量”,因此能最大限度地描述油藏的特征(压力、饱和度),对油藏偏微分方程模型起到较好的降阶作用.结论表明,低阶模型的计算结果与隐压显饱(IMPES)所得计算结果吻合较好,且能节省更多的计算时间,因此能较好地在油藏注采数值模拟中进行历史拟合与仿真计算.
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出版历程
  • 收稿日期:  2020-08-11
  • 修回日期:  2021-03-08
  • 网络出版日期:  2021-09-29

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