A New Scheme for the Solution of Inverse Problems in Seismic Tomography

摘要

Long-term experience in construction of seismic tomographic images in different regions of the world indicates the existence of the problem of ambiguity in results. For example, velocity sections obtained on the basis of numerical solutions of the systems of linear equations are not always comparable with the data of petrology and geology. The main cause is in the unknown level of the real error in each seismic observation, which leads to a distortion in the real image. A computational scheme in the linear formulation is suggested for the first time in the practice of the solution to tomographic problems, which allows us to avoid a significant influence of errors in the observations on the inverse result. The stability of the solution is guaranteed by a new regulation method in seismic tomography. The efficiency of the developed approach is proved by its ability to restore a complex model of the fracture zone within an admissible small error. Such a very high quality was not gained by the modern methods based on the standard approach.