3‐D inversion of induced polarization data in wavelet domain

Abstract

We develop an algorithm of constrained inversion of IP data for recovering 3D chargeability in the wavelet domain. The inversion is regularized directly by using a scale dependent objective function, while positivity is achieved through conditions imposed on the multiresolution representation of the chargeability so that nearly positive solutions are obtained. Accomplishing the inversion entirely in the wavelet domain leads to an algorithm more efficient than those in the space domain. We illustrate the algorithm using a synthetic 3-D data set here and will also demonstrate its practical application to large field data sets.