METHOD FOR TOMOGRAPHIC INVERSION BY MATRIX TRANSFORMATION

摘要

Method for reducing instability and increasing computational efficiency in tomographic inversion for velocity model building. A system of tomographic equations is developed for a uniform grid. A non-uniform parameterization is found for which a linear mapping exists between the space of the uniform gri d and the space of the non-uniform grid. The matrix that relates velocity to t he tomographic data in the non-uniform representation is then given by the matr ix product of the corresponding matrix in the uniform grid representation and t he mapping matrix. Inversion can then be performed for the non-uniform parameterization on a smaller, more stable matrix.