Characterizing Curvilinear Features Using the Localized Normal-Score Ensemble Kalman Filter

The localized normal-score ensemble Kalman filter is shown to work for the characterization of non-multi-Gaussian distributed hydraulic conductivities by assimilating state observation data. The influence of type of flow regime, number of observation piezometers, and the prior model structure are ev...

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Main Authors: Haiyan Zhou, Liangping Li, J. Jaime Gómez-Hernández
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/805707
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author Haiyan Zhou
Liangping Li
J. Jaime Gómez-Hernández
author_facet Haiyan Zhou
Liangping Li
J. Jaime Gómez-Hernández
author_sort Haiyan Zhou
collection DOAJ
description The localized normal-score ensemble Kalman filter is shown to work for the characterization of non-multi-Gaussian distributed hydraulic conductivities by assimilating state observation data. The influence of type of flow regime, number of observation piezometers, and the prior model structure are evaluated in a synthetic aquifer. Steady-state observation data are not sufficient to identify the conductivity channels. Transient-state data are necessary for a good characterization of the hydraulic conductivity curvilinear patterns. Such characterization is very good with a dense network of observation data, and it deteriorates as the number of observation piezometers decreases. It is also remarkable that, even when the prior model structure is wrong, the localized normal-score ensemble Kalman filter can produce acceptable results for a sufficiently dense observation network.
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institution Kabale University
issn 1085-3375
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publishDate 2012-01-01
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series Abstract and Applied Analysis
spelling doaj-art-d3514d103103433f8908cc4a27e279f52025-02-03T06:44:19ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/805707805707Characterizing Curvilinear Features Using the Localized Normal-Score Ensemble Kalman FilterHaiyan Zhou0Liangping Li1J. Jaime Gómez-Hernández2Grupo de Hidrogeologia, Departamento de Ingeniería Hidráulica y Medio Ambiente, Universitat Politècnica de València, Camino de Vera, s/n, 46022 Valencia, SpainGrupo de Hidrogeologia, Departamento de Ingeniería Hidráulica y Medio Ambiente, Universitat Politècnica de València, Camino de Vera, s/n, 46022 Valencia, SpainGrupo de Hidrogeologia, Departamento de Ingeniería Hidráulica y Medio Ambiente, Universitat Politècnica de València, Camino de Vera, s/n, 46022 Valencia, SpainThe localized normal-score ensemble Kalman filter is shown to work for the characterization of non-multi-Gaussian distributed hydraulic conductivities by assimilating state observation data. The influence of type of flow regime, number of observation piezometers, and the prior model structure are evaluated in a synthetic aquifer. Steady-state observation data are not sufficient to identify the conductivity channels. Transient-state data are necessary for a good characterization of the hydraulic conductivity curvilinear patterns. Such characterization is very good with a dense network of observation data, and it deteriorates as the number of observation piezometers decreases. It is also remarkable that, even when the prior model structure is wrong, the localized normal-score ensemble Kalman filter can produce acceptable results for a sufficiently dense observation network.http://dx.doi.org/10.1155/2012/805707
spellingShingle Haiyan Zhou
Liangping Li
J. Jaime Gómez-Hernández
Characterizing Curvilinear Features Using the Localized Normal-Score Ensemble Kalman Filter
Abstract and Applied Analysis
title Characterizing Curvilinear Features Using the Localized Normal-Score Ensemble Kalman Filter
title_full Characterizing Curvilinear Features Using the Localized Normal-Score Ensemble Kalman Filter
title_fullStr Characterizing Curvilinear Features Using the Localized Normal-Score Ensemble Kalman Filter
title_full_unstemmed Characterizing Curvilinear Features Using the Localized Normal-Score Ensemble Kalman Filter
title_short Characterizing Curvilinear Features Using the Localized Normal-Score Ensemble Kalman Filter
title_sort characterizing curvilinear features using the localized normal score ensemble kalman filter
url http://dx.doi.org/10.1155/2012/805707
work_keys_str_mv AT haiyanzhou characterizingcurvilinearfeaturesusingthelocalizednormalscoreensemblekalmanfilter
AT liangpingli characterizingcurvilinearfeaturesusingthelocalizednormalscoreensemblekalmanfilter
AT jjaimegomezhernandez characterizingcurvilinearfeaturesusingthelocalizednormalscoreensemblekalmanfilter