Hydraulic parameters are required indicators to quantify characteristic properties in agricultural fields. This paper analyses the effects of soil hydraulic parameters on the retrieved responses of soil thermal and moisture dynamics using a synthetic inverse modelling. The goal was to provide analysis insight into the role of hydraulic parameters as tool of interpretation of soil thermal and hydrochemical properties. The heat, moisture and solute transfers are described by one-dimensional nonlinear coupled partial differential equations. The problem is solved by the spectral element method combined with the iterative modified Picard technique. The inverse analysis is explored by mean of synthetic simulations based on the iterative Levenberg-Marquardt optimization method. The reliability of the soil temperature, moisture and solute responses is highlighted for soil hydraulic parameters estimation. Moreover, the spatial variability of hydraulic parameters performed with rough representation of the simulation responses of moisture, thermal, and solute transport of the soil profile are also illustrated. The performance of the studied model is assessed based on the relative difference between the retrieved responses and true values, the root mean square error, and the coefficient of determination. The inverse results show good agreement and demonstrate excellent accuracy when compared the retrieved responses and true simulations of thermal and solute transport profiles. Several simulations reveal relevant contributions of the saturated hydraulic conductivity and moisture content, the shape parameter as well as the pore-size indicator on the special distributions of thermal and hydraulic fluxes.

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