基于通量边界条件的一维溶质运移模型源项系数反演  

Source coefficient inversion of one-dimensional solute transport model based on flux boundary condition

作　　者：王静[1] 李功胜[1] 娄和忠[1] 

机构地区：[1]山东理工大学应用数学研究所,山东淄博255091

出　　处：《山东理工大学学报（自然科学版）》2012年第3期46-49,共4页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(10926194;11071148)

摘　　要：利用正则参数随迭代次数变化的最佳摄动量算法对一维溶质运移模型中基于通量边界的源项系数进行了数值反演.讨论了预估迭代次数,入流端的定通量输入浓度,反演空间以及数据随机扰动对该算法的影响.数值结果表明该算法对此类反问题是有效的.Numerical inversion of a source coefficient in one-dimensional solute transport model is dealed with based on flux boundary. The time-dependent source function is numerically deter- mined by utilizing the optimal perturbation algorithm with a new choice of the regularization pa- rameter depending on iteration times. Impacts of the pre-estimated number of iteration, the flux input concentration at the inflow, the inversion space and the data random noises on the inversion algorithm are discussed. The computational inversion results show that the inversion algorithm is efficient at least for the inverse problem here.

关 键 词：最佳摄动量算法 一维溶质运移 参数反演 通量边界 数值模拟 

分 类 号：O175.29[理学—数学]