Lemniscate representation for inversion of gravity and magnetic data through nonlocal optimization |
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| Authors: | P S Moharir V M Maru S Srinivas |
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| Institution: | (1) National Geophysical Research Institute, Uppal Road, 500 007 Hyderabad, India |
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| Abstract: | A method of representing surfaces and volumes by a set of geometric points and a small set of auxiliary parameters, based
on generalization of Bernoulli’s notion of lemniscates is introduced. It provides for easy generation and modification of
surfaces and volumes, which could be connected, disjoint or even with very irregular boundaries. This allows solving geophysical
inversion problems, without constraining the anomalous volumes to some ideal or simple forms. This is illustrated by the example
of joint inversion of gravity and magnetic data sets attributable to two-dimensional anomalous bodies. A nonlocal optimization
algorithm calledsegmented Hamming scan is used for inversion. Comparison with nonlinear least-squares algorithm shows the advantages of the chosen approach. The
concepts ofdesideratal andprocedural detours are illustrated. |
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| Keywords: | Lemniscates Hamming scan joint inversion desideratal detour |
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