寒区湖泊冰下溶解氧质量浓度模型相关参数的优化辨识  

Parameter identification for dissolved oxygen mass concentration model under ice of cold lake

作　　者：白乙拉[1] 庄玉苹 李银杰[1] 常娥[1] 

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《辽宁师范大学学报（自然科学版）》2016年第2期151-155,共5页Journal of Liaoning Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(41376186;11371071)

摘　　要：根据Golosov给出的淡水湖泊冰下溶解氧质量浓度一维抛物型偏微分方程模型和芬兰Valkea-kotinen湖No.1站位2011年1—3月冰下不同深度的溶解氧质量浓度、水温等现场实测数据,利用分布参数系统参数辨识方法,优化辨识出该湖泊冰下溶解氧一维模型中总溶解氧消耗率的一个改进表达形式,并用辨识得到的总溶解氧消耗率的表达形式,数值模拟该湖泊No.2站位冰下溶解氧质量浓度的变化情况.数值模拟结果与实测数据吻合良好,表明辨识结果是有效的、准确的,能对其他寒区淡水湖泊冰下溶解氧问题数值模拟研究提供参考依据.According to a one-dimensional parabolic partial differential equation model of dissolved ox- ygen concentration in the Golosov＇s literature and the observed data of the dissolved oxygen concen- tration,water temperature of different depths under the ice in the No. 1 position of the Finland＇s Valkea-kotinen lake from January to March in 2011 ,we optimize and identify an improved expression form of total dissolved oxygen consumption rate in a one-dimensional model under ice of cold lake by using parameter identification method of the distributed parameter system. Using expression form of total dissolved oxygen consumption rate, we simulate the changes of dissolved oxygen concentration under the ice in the No. 2 position. Numerical simulation results are consistent with the measured da- ta. The results show that the identified model is efficient and accurate, which can provide reference of other studies about the numerical simulation of dissolved oxygen under ice.

关 键 词：寒区湖泊 分布参数系统 溶解氧 优化辨识 

分 类 号：O232[理学—运筹学与控制论] O29[理学—数学]