A method of obtaining solutions with only positive dipole moments on inversion of satellite magnetic anomalies

Physics

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Scientific paper

A method has been developed to obtain solutions with positive magnetization on inversion of satellite magnetic anomalies. Starting with an initial guess of positive values, the dipole moments are updated through an iterative process under the condition that the calculated fields reproduce the observed anomalies in the sense of least squares. Application of the method is illustrated through inversions of scalar and vector anomalies over the Indian region and adjoining areas where the reduction-to-pole procedure is likely to give an unstable solution particularly near the equator, because of the parallelism of the geographic and geomagnetic meridian. The use of a magnetic annihilator function to obtain positive moments seems justified because the estimates in the present method broadly differ from the conventional solution in terms of a shift of the mean level. The formulation given here is significant in the sense that it directly gives solutions with positive magnetization and the results remain stable even in low latitude regions.

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