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 2-D P and S-wave velocity model called P1I. The P and S-wave velocity data available for the model construction are quite smooth, and thus construction of a smooth one-block model called P1 is possible. Because the model is constructed for reflection studies, and the data for smooth interfaces are available, we construct the model P1I composed of several smooth velocity blocks separated by smooth interfaces. We then calculate synthetic seismograms in the constructed model, which simulate a reflection measurement in the modelled locality.
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