A mixed probabilistic-deterministic approach to interpretation of gravity, magnetic, and electric prospecting data

Балк, П. И.; Dolgal, A. S.; Michurin, A. V.

doi:10.1134/s1028334x11060018

Cited by 4 publications

(1 citation statement)

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“…The solution that provides the minimum mathematical expectation of its error can be taken as the best one. In (Balk, 2010;Balk et al, 2011), this approach was implemented in the case of weak and rather realistic assumptions concerning the noise con tained in gravity measurements. However, this method also has its weak points; in any case, it does not solve the problems mentioned in the introduction that are associated with locating the geological bodies in the medium.…”

Section: The Sources Of Drawbacksmentioning

confidence: 99%

Inverse problems of gravimetry as retrieval of reliable information under uncertainty

Балк

Dolgal

2012

Izv., Phys. Solid Earth

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The guaranteed approach to the solution of inverse problems of gravimetry, which is fundamen tally different from the common solution, is presented. Instead of providing single (optimum) estimates of the model parameters, whose quality is, generally, random, the interpretation in the suggested approach yields that volume of reliable information on disturbing objects, which is contained in the field measure ments, together with the a priori constraints. The method of solving the inverse problem of gravimetry is developed within this approach, where, in contrast to the conventional approach, both the geometrical parameters of the geological bodies and the densities of their composing rocks are treated as unknowns. The generalized assembly algorithm suggested by V.N. Strakhov is proposed as a basic working tool to implement this approach. The results of testing this algorithm and the guaranteed approach itself on the model and prac tical examples are discussed.

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Section: The Sources Of Drawbacksmentioning

confidence: 99%