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DatoValore
TitleA new data abimilation technique based on EnKF and Brownian bridges in the context of Richards' equation
KeywordsData assimilationEnsemble Kalman filterMethod of linesRichards' equationUnsaturated water flow
Year2015
TypeContributo in volume
AuthorsBerardi M.(a,b) ; Andrisani A. (b); Lopez L. (c); Vurro M.(a)
Text358533 2015 Scopus 2 s2.0 84961252968 Data assimilation Ensemble Kalman filter Method of lines Richards equation Unsaturated water flow A new data abimilation technique based on EnKF and Brownian bridges in the context of Richards equation Berardi M. a,b ; Andrisani A. b ; Lopez L. c ; Vurro M. a a Istituto di Ricerca Sulle Acque Consiglio Nazionale Delle Ricerche, Italy; b Dipartimento di Fisica, Universit Degli Studi di Bari, Italy; c Dipartimento di Matematica, Universit Degli Studi di Bari, Italy A new data abimilation technique is presented, based on the ensemble Kalman filter EnKF , and makes particularly sense whenever few observations in time are available, and a stiff evolutionary equation such as the Richards equation is integrated forward in time. Because of the Monte Carlo nature of EnKF, a cheap numerical method would be conve nient to integrate the Richards equation, thus a lot of observations are desiderable in order to frequently correct the numerical solution. Nevertheleb, abuming to have few observations in time, a grid of fictitious observations is settled just by interpolating the available observations. The measurement error covariance matrix abociated to these fictitious observations is estimated abuming that these errors evolve in time as Brownian bridges, with diffusion coefficients depending on the goodneb To fit of the polinomial curves with respect to the observed data. Published version http //www.scopus.com/inward/record.url eid=2 s2.0 84961252968 partnerID=q2rCbXpz Saggio Contributo in volume marco.berardi BERARDI MARCO michele.vurro VURRO MICHELE