Nonlinear Inversion in Three-Dimesional Cross-Well Induction Logging using Full-211 Vectorial Multi-Frequency Data

摘要

A method for reconstructing the electrical conductivity from the cross-well211u001einduction logging measurements is presented. This work extends the method 211u001epreviously developed for the electrode logging (static) case to the more 211u001ecomplicated induction logging (below 100 kHz) case using full-vectorial multi-211u001efrequency data. The target is assumed to be located in an object domain D 211u001eembedded in an unbounded homogeneous domain with conductivity. To reconstruct the 211u001econductivity of this object domain D from a knowledge of the secondary field, we 211u001eassume that the object is illuminated successively by a number of divers point 211u001emagnetic dipoles directed in the logging direction at the borehole axes, and at 211u001edifferent frequencies with time factor exp.