The algorithm of constructing smooth velocity models suitable for ray tracing by inversion of given data with minimization of the Sobolev norm composed of the second derivatives of velocity is applied to the 1-D P-wave velocity model of the Dobra Voda locality. The data available for the Dobra Voda locality are strongly heterogeneous, and the application of the smoothing algorithm to the 1-D model requires proper selection of the amount of smoothing and appropriate parameterization of the model. Numerical tests performed for individual vertical profiles indicate that the data do not allow to apply the smoothing algorithm with uniform smoothing to the 3-D velocity model of the locality.
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