## 留言板

 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.
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.

• 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.
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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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