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Research Note: A unifying framework for the widely used stabilization of potential field inverse problems
Author(s) -
Vatankhah Saeed,
Renaut Rosemary Anne,
Liu Shuang
Publication year - 2020
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/1365-2478.12926
Subject(s) - weighting , inversion (geology) , potential field , field (mathematics) , inverse problem , geology , inverse , geophysics , computer science , mathematics , physics , mathematical analysis , geomorphology , geometry , pure mathematics , structural basin , acoustics
We present a brief review of the widely used and well‐known stabilizers in the inversion of potential field data. These include stabilizers that use L 2 , L 1 and L 0 norms of the model parameters and the gradients of the model parameters. These stabilizers may all be realized in a common setting using two general forms with different weighting functions. Moreover, we show that this unifying framework encompasses the use of additional stabilizations which are not common for potential field inversion.