油田维护费的bang－bang投入律

Bang-Bang Role of Maintenance Cost Investment in the Oil Fields

中后期油田的产量递减是必然规律．为了取得更大的社会效益与经济效益，油田维护费的投入是必要的．提出了一种油田维护费的微分方程模型，以及作为拉格朗日问题的目标函数．根据庞特里亚金极大值原理，导出了油田维护费的最优投入规律．研究表明了油田维护费的投入应该遵循ｂａｎｇ－ｂａｎｇ控制规律，而不应该采用迄今被使用的递增方式．

Maintenance cost investment is necessaty for obtaining higher social and economic efficiency during the middle and later period of oil field development'This paper studied the investment role of maintenance cost by utilizing the optimal control theory.The results show that the investment of maintenace cost should follow the bang-bang role instead of the successive increase role which has been being used up to now.The paper has provided a theoretical basis for the decision makeos of the oil fields.