Three-dimensional inversion without blocks |
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Authors: | A Tarantola A Nercessian |
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Institution: | Laboratoire de Sismologie (LEGSP LA 195 CNRS), Institut de Physique du Globe de Paris, Universite Pierre et Marie Curie, 4, place Jussieu, Tour 14, 75230 Paris Cedex 05, France |
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Abstract: | Summary. We propose a method for solving non-linear inverse problems in the case where the unknown is a function of the spatial coordinates and the data set is discrete and finite. The method is based on a generalized leastsquares criterion, it is defined directly for non-linear problems (without previous linearization of the forward problem), and in the particular linear case it gives the same results (although slightly more general) than the Backus & Gilbert approach. As an example, we apply the method to the three-dimensional seismic velocity inverse problem, using as data the arrival times of seismic waves. The following paper (Nercessian et al .) shows some esults obtained using the present method. |
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