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认为拟合油气井产量递减规律的指数递减和调和递减是双曲递减的特例。但双曲递减曲线表达式无法变换成线性形式,常用方法(试凑法,曲线移位法,典型曲线分析法)既费时,又难以达到较高的拟合精度。对于实际油气井或油气藏产量递减分析来说,如果确定了递减阶段的初始产量、初始递减率和递减指数,就唯一地确定了其双曲递减曲线表达式。提出采用最优化理论优化求解这3项参数的计算方法,编制了应用程序。用该方法拟合某气井递减阶段的生产数据,拟合值的最大相对误差约为0.331%,平均相对误差约为0.039%。用该方法求解产量递减曲线参数,不受人为因素干扰,计算速度快,对指数递减、调和递减和双曲递减曲线都能精确地拟合。表1参2(陈志宏摘)
It is a special case of hyperbolic declining that the exponential decay and diminishing diminution of the law of diminishing the production of oil and gas wells are considered. However, the hyperbolic regression curve expression can not be transformed into a linear form. Common methods (trial and error, curve shift, and typical curve analysis) are time consuming and difficult to achieve high fitting accuracy. For the production decline analysis of actual wells or reservoirs, the hyperbolic regression curve expression is uniquely determined if the initial production, the initial decline rate and the decreasing index of the decreasing stage are determined. Put forward the optimal method to optimize the calculation of these three parameters of the calculation method, the preparation of the application. Using this method to fit the production data of a decreasing phase of a gas well, the maximum relative error of fitted value is about 0.331% and the average relative error is about 0.039%. Using this method to solve the parameters of yield decline curve, it is not disturbed by human factors, and the calculation speed is fast. It can accurately fit the exponential decrease, the decrease of harmonic and the curve of hyperbolic decline. Table 1 reference 2 (Chen Zhihong pick)