Sobolev Scalar Products in the Construction of Velocity Models

O-24 SOBOLOV SCALAR PRODUCTS IN THE CONSTRUCTION OF VELOCITY MODELS Summary 1 P. BULANT and l. KLIMES Charles University Department of Geophysics Ke Karlovu 3 121 16 Praha 2 Czech Republic The minimization of the Sobolev norm during linearized inversion of given data enables to control the model parameters unresolved by the data being fitted. Even if a reasonably looking model can be obtained without minimizing the Sobolev norm it may be too rough for some computational methods. We may construct models optimally smooth for given computational methods by minimizing the corresponding Sobolev norm during the inversion. Probably the smoothest