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Q_t=a/((b+t^p)~q)类型递减曲线研究 被引量:9

STUDIES OF A NEW MOULD DECLING CURVE Q_t=α/(b+t_p)q
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摘要 总结并提出了一种Qt=α/(b+tp)q新类型的递减曲线。其特性研究表明,p=1、q=1的新型曲线为(L)曲线,即Arps递减指数n=1的调和递减曲线。p=2、q=1的新型曲线为胡允栋(H)曲线,与Arps指数递减很接近,因而有较大实用价值。p=3、q=1,p=2、q=2,p=2、q=3的新型曲线为N1、N2、N3曲线,因可以计算当Arps递减指数n<0时的最大可采储量NRmax而有一定使用价值。Arps递减曲线参数求解方法对比表明,Np-t系统的二元重复线性回归法准确度最高;Qt—t、Np─Qt系统的一元重复线性回归法准确度稍次,在递减趋势很明显、实际点子多时,必须使用它们。而递减趋势不很明显、实际点子少时,应该采用指数递减计算。 A new decline curve, Qt=α/(b+tp)q, is proposed. Studies of its special property indicate that: ① The new decline curve at p=1 and q=1 is actually the harmonic decline at Arps decline index n=1; ② The new decline curve at p=2 and q=1 is Hu Yundong decline curve, it is a sindlar to Arps exponential decline curve, so it has quite great practical value; ③ The new decline curve at p=3 and q=1, p=2 and q=2, p=2 and q=3 are called N1,N2,N3 curves, which can be used to calculate maximum recoverable reserves NRmax at Arps decline curve index n<0, so they have cendn useful value. The comparison between solving method of Arps decline curve parameters shows that accuray of the binare replication linear regression method of Np-t system is the highest, and one-variable replication linear regression method of Qt-t and Np-Qt systems is next, which are used when the trend of decline is very clear and there are many actual points in calculation, while Arps exponential decline should be used when the trend of decline is not very clear and there are few actual points in calculation.
作者 俞启泰
出处 《新疆石油地质》 CAS CSCD 1999年第5期408-413,共6页 Xinjiang Petroleum Geology
关键词 类型 递减 回归分析 水驱 曲线 采油 油矿 Type Decline Characteristics Linear Regression analysis Water drive Curve
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