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  • 标题:A FULL-NEWTON ALGORITHM FOR PARAMETER ESTIMATION IN
  • 本地全文:下载
  • 作者:Luis Guarracino ; Elena M. Fernández Berdaguer ; Juan E. Santos
  • 期刊名称:Mecánica Computacional
  • 印刷版ISSN:2591-3522
  • 出版年度:2006
  • 卷号:XXV
  • 期号:14
  • 页码:1259-1268
  • 出版社:CIMEC-INTEC-CONICET-UNL
  • 摘要:An iterative algorithm based on a full-Newton method for the estimation of the saturated hydraulic
    conductivity k in the unsaturated zone from drainage experiments is presented. The groundwater
    ow is assumed to be described by Richards equation and the well-known van Genuchten constitutive
    model. The cost functional used for the parameter optimization is dened as the L2-error between the
    calculated pressure head values and the observed data at discrete points in the soil prole during the
    drainage process. The derivative of pressure head with respect to the parameter k is obtained as the
    solution of a differential equation with appropriate boundary and initial conditions. A Galerkin nite
    element procedure is used to obtain approximated solutions of the two differential problems involved in
    each iteration: the direct problem and the derivative of the functional. The algorithm was implemented
    in one-dimensional domains and used to estimate k in layered soil using synthetically generated data.
    Numerical examples show that the proposed algorithm yields very good estimations of the saturated
    hydraulic conductivity and becomes a promising method for in situ estimation of this parameter.
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