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油藏开发过程的最优控制模型及其离散化方法
引用本文:冯恩民,路军. 油藏开发过程的最优控制模型及其离散化方法[J]. 大连理工大学学报, 1988, 0(3)
作者姓名:冯恩民  路军
作者单位:大连理工大学应用数学系(冯恩民),大连理工大学应用数学系(路军)
摘    要:以某块油藏原油总产量最大为目标函数,以油藏压力、饱和度等满足的微分方程 组为主要约束条件,以各水井的注液量(时间的函数)为优化的控制函数,建立了反 映油藏开发生产实际过程的最优控制模型。为构造可实现的优化方法,导出了解此类 最优控制问题的离散化方法,并对离散化模型的可解性作了简单论证。

关 键 词:油田开发  最佳控制  数值模拟  数学规划/渗流微分方程

The Optimal Control Models and the Discrete Method in Process of Exploiting 0il Deposit
Feng Enmin,Lu Jun. The Optimal Control Models and the Discrete Method in Process of Exploiting 0il Deposit[J]. Journal of Dalian University of Technology, 1988, 0(3)
Authors:Feng Enmin  Lu Jun
Affiliation:Dept. of Applied Math. of DUT
Abstract:Regarding the largest output of some oil deposit as object function and regarding system of differential equations consisting in pressure and saturation level of oil deposit as main restricted conditions, as well as regarding injected quantum of all water wells (time function) as optimal control function, the optimal control model is constructed, which can reflect actual process of exploiting oil deposit. In order to construct optimal algorithm which can come true, authors deduce the discrete method to solve this class of optimal control problems, and also prove the solvability of discrete models.
Keywords:oil-field development  optimal control  numberical simulation  mathematical programming/differential equations of percolation
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