累计储量模型的非线性最小二乘估计  

A Least Square Nonlinear Estimation of Cumulative Reserves Model

作　　者：李玉金[1] 

机构地区：[1]中国石油辽河油田公司勘探开发研究院,辽宁盘锦124010

出　　处：《中外能源》2009年第8期59-61,共3页Sino-Global Energy

摘　　要：确定累计储量模型中的待定参数需要求解一个三维数值优化问题,常规算法难以给出合适的迭代初始值,并且迭代过程容易收敛于局部极小点。将三维优化问题转换成一元非线性方程的求解,给出了该一元方程的解区间搜索算法和二分法求解算法。实际算例表明,本文算法不仅计算过程稳定、计算速度快,而且计算误差小。本文算法可应用于石油地质储量、油田产量预测等一系列实际问题。It is needed to solve a problem of 3-D numerical optimization when identifying the parameters waiting to be determined in a cumulative reserves model ,in which it is difficult to give a suitable initial iteration value by any conventional algorithm ,and an iteration process is easily convergent at a local minimum. This 3-D numerical optimization can be transformed into solving a univariate nonlinea equation,and a seeking algorithm in solution interval and a dichotomizing solution algorithm are introduced for the type of univariate nonlinea equation.The application examples have shown that this method is stable in calculation process,rapid in calculation speed and minimal in calculation error.Therefore,the method can be applied to several practical problems such as predicting oil in place and oilfield production.

关 键 词：LOGISTIC Compertz 参数估计 二分法 储量模型 

分 类 号：TE155[石油与天然气工程—油气勘探]