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A Generalized Deep Learning-Based Ensemble Smoother for Data Assimilation of Hydrological Systems
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  • Jiangjiang Zhang,
  • Junliang Jin,
  • Lei Yao,
  • Kun Zhou,
  • Jianyun Zhang
Jiangjiang Zhang
Hohai University
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Junliang Jin
Hohai University

Corresponding Author:[email protected]

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Lei Yao
Hohai University
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Kun Zhou
Hohai University
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Jianyun Zhang
Nanjing Hydraulic Research Institute
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Abstract

To reduce simulation uncertainty and improve process understanding of hydrological systems, integrating models with observations through data assimilation techniques is paramount. Among these, the ensemble smoother (ES) stands out for its ease of implementation and high computational efficiency. When tackling problems involving non-linear processes and non-Gaussian distributions, leveraging deep learning (DL) within ES, termed the ES(DL) method, proves superior to the Kalman-based counterpart. However, the original ES(DL) method is constrained by the traditional paradigm that builds a mapping from the innovation vector (i.e., the difference between observations and model predictions) to the update vector (i.e., the difference between posterior and prior state/parameters). In this study, we introduce a generalized form of ES(DL), where the traditional ES(DL) approach becomes its special case. We explore the optimal implementation of ES(DL) through surface and subsurface scenarios, spanning various dimensions (low to high) and parameter distributions (Gaussian to non-Gaussian). Notably, certain implementations of ES(DL), which diverge significantly from the traditional approach, can yield similar or even better outcomes, especially under the non-Gaussian condition. While this study’s focus lies on the smoothing approach for parameter estimation, the proposed formulation can be extended to filtering problems, facilitating model state updates.
09 Jul 2024Submitted to ESS Open Archive
12 Jul 2024Published in ESS Open Archive