Using Kalman filtering to improve and quantify the uncertainty of numerical groundwater simulations: 1. The role of system noise and its calibration

FC Van Geer, CBM Te Stroet… - Water Resources …, 1991 - Wiley Online Library
… with the wellknown operational MODFLOW model code [McDonald and Harbaugh, 1984].
We … This paper aims at encouraging the use of Kalman filtering in geohydrologica! modeling. …

Real‐time groundwater flow modeling with the ensemble Kalman filter: Joint estimation of states and parameters and the filter inbreeding problem

HJ Hendricks Franssen… - Water resources …, 2008 - Wiley Online Library
… where i refers to a stochastic realization (i = 1, …, P), M to a simulation model (in our case
a groundwater flow model), x is the state vector from the previous time step (superscript −) or …

Calibration framework for a Kalman filter applied to a groundwater model

JP Drécourt, H Madsen, D Rosbjerg - Advances in water resources, 2006 - Elsevier
… State space representation of a groundwater model The groundwater model used in this
study is a two-dimensional Darcy flow finite difference scheme representing the saturated zone. …

Data assimilation in groundwater modelling: ensemble Kalman filter versus ensemble smoothers

L Li, R Puzel, A Davis - Hydrological processes, 2018 - Wiley Online Library
Groundwater modelling calls for an effective and robust data integrating method to fill the
gap between the model and observation data. The ensemble Kalman filter (EnKF), a real-time …

Using Kalman filtering to improve and quantify the uncertainty of numerical groundwater simulations: 2. Application to monitoring network design

Z Yangxiao, CBM Te Stroet… - Water resources …, 1991 - Wiley Online Library
… Once the model is calibrated, the measurement strategy Ck is the only variable for … Kalman
filtering combined with groundwater flow modeling in the analysis and design of groundwater

Identification of groundwater contamination sources using a statistical algorithm based on an improved Kalman filter and simulation optimization

J Li, W Lu, H Wang, Y Fan - Hydrogeology Journal, 2019 - search.proquest.com
Kalman filter and ensemble smoother to update groundwaterKalman filter in the inverse
identification of groundwater … ) used Kalman filters to identify the locations of groundwater

Kalman filtering in groundwater flow modelling: problems and prospects

U Eigbe, MB Beck, HS Wheater, F Hirano - Stochastic Hydrology and …, 1998 - Springer
… And therein lies part of the reason for the but modest interest there has been in applying
Kalman filtering to groundwater systems, as reviewed critically in this paper. Filtering theory may …

Comparison of Ensemble Kalman Filter groundwater-data assimilation methods based on stochastic moment equations and Monte Carlo simulation

M Panzeri, M Riva, A Guadagnini… - Advances in Water …, 2014 - Elsevier
groundwater flow toward a well pumping water from a randomly heterogeneous confined
aquifer … Section 2 casts the Kalman Filter updating algorithm for groundwater data assimilation …

Ensemble Kalman filtering versus sequential self-calibration for inverse modelling of dynamic groundwater flow systems

HJH Franssen, W Kinzelbach - Journal of hydrology, 2009 - Elsevier
Kalman Filtering (EnKF) is promoted for the off-line calibration of transient groundwater
flow … experiments: (1) the prediction of groundwater flow in a different flow situation (without …

Groundwater parameter estimation using the ensemble Kalman filter with localization

T Nan, J Wu - Hydrogeology Journal, 2011 - search.proquest.com
filter length in groundwater modeling is still necessary as a result of the unique characteristics
of the aquifer … influence the EnKF used in groundwater modeling and how the localization …