广义翁氏模型求解方法研究与应用

Research and application of solution method for generalized Weng model

广义翁氏模型是石油产量预测的基础模型,准确求解模型的参数显得尤为重要。借助高等数学的知识,对陈元千的线性试差法进行了研究与改进。此外,借助最优化的理论,提出了应用Gauss-Newton法进行模型求解的思路。在此基础上,编制了相应的程序,并对实际油田产量进行了拟合。结果表明:改进的线性试差法计算简便但是精度稍低;而GaussNewton法精度更高,但是需要进行多次迭代、计算量大。

The generalized Weng model is a base model of oil production prediction. It is particularly important to accurately solve model parameters. With the help of higher mathematics, Chen Yuanqian’s linear try and error method was researched and im？proved. Furthermore, with the optimization theory, the idea to solve the model by Gauss-Newton method was proposed. On this ba？sis, the corresponding program was made and actual oilfield production was fitted. The results show that the calculation of improved linear try and error method is simple but has lower accuracy. Gauss-Newton method has higher accuracy, however, it needs multi？ple iterations and huge calculation.