注水开发油田产量递减类型及其求解的数学逐次逼近法

从数学和渗流力学概念对注水开发油田产量递减类型和判别求解方法进行了研究，提出产量递减类型应为指数递减和双曲线递减两种类型；双曲线递减的递减指数ｎ的变化范围应为０＜ｎ＜∞；递减类型判别和递减参数求解方法可以根据最小二乘法原理，采用数学逐次逼近法直接求解产量随时间递减的关系式．通过对双河油田各油组平均单井产量递减状况、油藏数值模拟和油藏工程方法预测的产量递减的类型判别和递减参数的求解，证明理论正确、求解迅速、精确度高．

Decreasing Type of the Output of Oil Field Opened by Pouring Water and the Successive Approximation Method of Its Solution

In this paper, we study the decreasing types of the output of oil field opened by pouring water and the successive approximation method of its solution in mathematics and seepage flowing mechanics. Then, we get that the decreasing types of the output may be exponential decrease and hyperbolic decrease and the exponent of hyperbolic decrease is defined in (0,∞). Using least square method, we can get the decreasing types and the solving process of the decreasing parameter. By successive approximation method, ...