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    Volume 29 Issue 2
    Mar.  2004
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    CUI Kai, LI Xing-si, LI Bao-yuan, 2004. HISR Method for Parameter Inversion of Solute Transport through Unsaturated Soils. Earth Science, 29(2): 247-252.
    Citation: CUI Kai, LI Xing-si, LI Bao-yuan, 2004. HISR Method for Parameter Inversion of Solute Transport through Unsaturated Soils. Earth Science, 29(2): 247-252.

    HISR Method for Parameter Inversion of Solute Transport through Unsaturated Soils

    • Received Date: 2003-09-09
    • Publish Date: 2004-03-25
    • Taken the parameter inversion of solute transport through unsaturated soils as the application background and homotopy method imported for solving the nonlinear parameter inversion problem, this paper presents a global convergence method, HISR (homotopy Itakura-Saito regularization) method. The Itakura-Saito distance between the iterative parameter value and the estimated parameter value was adopted as the trivial problem in the homotopy function based on the idea of regularization. Moreover, a continuous method is employed to modify the homotopy parameter during iteration in order to ensure the ability of the iteration and the capability of the noise resistance. Problems of parameter inversion of solute transport coupled with equilibrium and non-equilibrium effects through one-dimensional unsaturated soils are carried out as numerical examples, and the computational results clearly demonstrated the features of global convergence and stability of the HISR method. Besides, a favorable solution is obtained even though experimental quantities were contaminated heavily by noise by HISR method.

       

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