Assimilating transient groundwater flow data via a localized ensemble Kalman filter to calibrate a heterogeneous conductivity field
Assimilating transient groundwater flow data via a localized ensemble Kalman filter to calibrate a heterogeneous conductivity field
复制标题
通过局部集成卡尔曼滤波器同化瞬态地下水流数据来校准异质电导率场
DOI：
10.1007/s00477-011-0534-0
复制
发表时间：
2012-03
影响因子：
4.2
通讯作者：
Yang, Jinzhong
中科院分区：
文献类型：
--
作者：
Tong, Juxiu;Hu, Bill X.;Yang, Jinzhong
本文提出了一种局部集合卡尔曼滤波（EnKF）方法来同化瞬变流数据，以校正非均匀电导率场。为了更新研究域中某个点的电导率值，而不是同化研究域中的所有测量值，仅将该点周围区域中的有限测量数据用于局部化EnKF方法中的电导率更新。针对非局部化数据同化方法中存在的滤波发散问题，提出了局部化EnKF方法。在一个综合的二维情况下，所开发的方法应用于校准的非均质电导率场同化瞬态水头数据。比较了有无局部化EnKF的资料同化模拟结果。研究结果表明，局部EnKF能有效地更新导水率场，而EnKF不能。协方差膨胀和局部化可以有效地解决滤波发散问题。与无局部化的EnKF方法相比，局部化的EnKF方法需要更小的系综尺寸来实现稳定的结果。局域化EnKF方法的模拟结果对电导率相关长度比局域化半径敏感得多。本文提出的局部化EnKF方法为改进EnKF方法在电导率标定中的应用提供了一种途径。
A localized ensemble Kalman filter (EnKF) method is developed to assimilate transient flow data to calibrate a heterogeneous conductivity field. To update conductivity value at a point in a study domain, instead of assimilating all the measurements in the study domain, only limited measurement data in an area around the point are used for the conductivity updating in the localized EnKF method. The localized EnKF is proposed to solve the problems of the filter divergence usually existing in a data assimilation method without localization. The developed method is applied, in a synthetical two dimensional case, to calibrate a heterogeneous conductivity field by assimilating transient hydraulic head data. The simulations by the data assimilation with and without localized EnKF are compared. The study results indicate that the hydraulic conductivity field can be updated efficiently by the localized EnKF, while it cannot be by the EnKF. The covariance inflation and localization are found to solve the problem of the filter divergence efficiently. In comparison with the EnKF method without localization, the localized EnKF method needs smaller ensemble size to achieve stabilized results. The simulation results by the localized EnKF method are much more sensitive to conductivity correlation length than to the localization radius. The developed localized EnKF method provides an approach to improve EnKF method in conductivity calibration.
登录
查看更多内容
DOI：
10.1111/j.1365-2966.2007.12552.x
发表时间：
2006-12
影响因子：
4.8
作者：
J. daÂngela;T. Shanks;S. Croom;P. Weilbacher;Robert J. Brunner;W. Couch;L. Miller;A. D. Myers-A.-D.-M
通讯作者：
J. daÂngela;T. Shanks;S. Croom;P. Weilbacher;Robert J. Brunner;W. Couch;L. Miller;A. D. Myers-A.-D.-M
影响因子：
6.4
作者：
H. Franssen;W. Kinzelbach
通讯作者：
H. Franssen;W. Kinzelbach
影响因子：
3.2
作者：
T. Yabe;R. Tanaka;T. Nakamura;F. Xiao
通讯作者：
T. Yabe;R. Tanaka;T. Nakamura;F. Xiao
影响因子：
25.2
作者：
Chidong Zhang
通讯作者：
Chidong Zhang
DOI：
10.1017/cbo9780511535642
发表时间：
2008-05
期刊：
--
影响因子：
--
作者：
D. Oliver;A. Reynolds;Ning Liu
通讯作者：
D. Oliver;A. Reynolds;Ning Liu