Abstract: This paper presents a mathematical model of the operation optimization problem of large-scale water injection systems which minimize total electric power consumption of the system under the condition that practical water injection systems for every well dynamically and accurately follows the designed one.This operation optimization problem mathematically is a complex nonlinear integer programming with many equality and inequality constraints, and it is difficult to be solved by the conventional method,this paper gives a solution based on decomposition and coordination method of the large-scale system theory and the universal model and the universal solution of the subsystems.The results above are programmed a software package by C language.This method has been proved to effectively save total electric power consumption of water injection systems under the condition that practical water injection systems dynamically and accurately follows the designed one in the practice of oil field application.

Key words: water injection, optimization, large-scale systems, mathematical models

摘要： 提出了油田大型注水系统优化运行的数学模型,即在保证注水系统动态地精确实现配注方案的条件下,使注水系统能耗达到最小。文中给出这个优化问题的严格数学模型,这是一个带有等式和不等式约束的含有整数规划部分的非线性优化的复杂问题,常规方法不能解决这个问题。给出了求解这个优化问题的一种大系统分解协调原理和计算步骤,并且给出了子系统优化的通用模型和通用计算方法。上述理论和方法已经用C语言编成软件。油田应用实践证明,这种方法能在保证注水系统动态精确地跟踪配注量的条件下有效节省注水能耗。

关键词: 注水, 优化, 大系统, 数学模型, 油田