摘要
利用参数辨识和冰厚观测研究了固定冰冰底海洋热通量,建立了冰底薄层能量平衡系统,证明了系统解的存在与唯一性.以海洋热通量为辨识参数,观测和计算冰厚差值为目标函数,建立最优辨识模型.利用有界变差函数理论分析最优辨识模型最优解的存在性,通过改进遗传算法求得最优解.根据现场观测的2006-2007年冬季中山站附近固定冰冰厚数据进行了数值模拟,通过2005-2006年数值结果检验表明所建立的冰底薄层能量平衡系统及参数辨识模型是正确有效的.
According to the energy balance equation at the ice bottom, the ice bottom energy balance system has been given, and the existence and uniqueness of the solution of the system has been proved. The oceanic heat flux is selected as identified parameter and the ice thickness deviation as the performance criterion, so that the optimal identification model has been presented. The existence of the optimal solution and the optimality conditions of the optimal identification model have been considered by using the theory of bounded variation. Based on the field campaigns in winter of 2006-2007, the time series of the oceanic heat flux has been derived. The effectiveness of the ice bottom energy balance system has been provided by the sensitivity study on the measurements in the same observation area for winter of 2005-2006.
出处
《数学的实践与认识》
北大核心
2015年第3期78-88,共11页
Mathematics in Practice and Theory
基金
辽宁省教育厅一般科研项目(L2013497)
关键词
冰
海洋热通量
参数辨识
ice
oceanic heat flux
parameter identification