On 3D Electromagnetic Inverse Problems in the Case of Arbitrary Relief

P147 ON 3D ELECTROMAGNETIC INVERSE PROBLEMS IN THE CASE OF ARBITRARY RELIEF P.S. MARTYSHKO and A.L. RUBLEV Institute of Geophysics Amundsen Str. 100 620016 Ekaterinburg Russia Introduction 1 Inversion of electromagnetic (EM) data in geophysical prospecting involves solution of a nonlinear-operator equation of the first kind (with an implicit ill-conditioned operator). The numerical solution of such equations requires considerable expenditures of computer time. For the theoretical inverse problem (TIP) the author was able to obtain explicit equations for the electrical and magnetic fields to develop effective algorithms for solving these equations and construct examples of equivalent regions. A TIP is