Joint inversion of the magnetic anomaly due to a kimberlite pipe and its analytic signal

Diamonds and kimberlites -- Geophysical surveys for kimberlites -- Problem -- Main objectives -- Methodology -- Major concepts -- The progress of magnetic method and the historical development concerned of magnetic method survey for kimberlites -- Derivatives of the magnetic field -- Formulas of derivatives of the magnetic field -- Finite difference derivatives -- Comparison of the responses from two methods -- Inversion of the magnetic field -- Introduction of the magnetic field inversion -- The solutions -- Levenberg-marquardt method -- The convergence -- Tests for the magnetic inversion -- Inversion of the analytic signal -- Introduction of the analytic signal -- Forward modeling -- Method of inversion -- Tests -- Joint inversion of the magnetic field and its analytic signal -- Introduction of joint inversion -- The model of the joint inversion -- Forward modeling -- Fromulation of the joint inversion -- Normalization -- Weighting of the two sets of the data -- The convergence -- The technique of the joint inversion -- Application to the real data -- Conclusion and discussion