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Inversion of potential field data

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Abstract

The problem of inversion of potential field data is a challenging one because of the difficulty in obtaining a unique solution. This paper identifies various types of nonuniqueness and argues that it is neither possible nor necessary to remove all categories of nonuniqueness. Some types of nonuniqueness are due to human limitations and choice and these would always persist.

Listing all the solutions, imposing additional constraints on the acceptable solutions, a priori idealization, use of a priori or supplementary information, characterizing what is common to all the solutions, obtaining extremal solutions, seeking a distribution of all possible solutions, etc. are various responses in the face of nonuniqueness. It is shown that merely the form of nonuniqueness is changed by all these techniques. Some algorithms, which should be used to obtain the global minimum of the objective function are discussed.

The conceptual commonality underlying seemingly different approaches and the possibility of nonunique interpretations of the same numerical results due to different axiomatic contexts are both elucidated.

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  1. National Geophysical Research Institute, 500 007, Hyderabad, India

    P. S. Moharir (Visiting Scientist)

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Moharir, P.S. Inversion of potential field data. Proc. Indian Acad. Sci. (Earth Planet Sci.) 99, 473–514 (1990). https://doi.org/10.1007/BF02840314

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