Potential-field sounding using Euler's homogeneity equation and Zidarov bubbling



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Potential-field (gravity) data are transformed into a physical-property (density) distribution in a lower half-space, constrained solely by assumed upper bounds on physical-property contrast and data error. A two-step process is involved. The data are first transformed to an equivalent set of line (2-D case) or point (3-D case) sources, using Euler's homogeneity equation evaluated iteratively on the largest residual data value. Then, mass is converted to a volume-density product, constrained to an upper density bound, by 'bubbling,' which exploits circular or radial expansion to redistribute density without changing the associated gravity field. The method can be developed for gravity or magnetic data in two or three dimensions. The results can provide a beginning for interpretation of potential-field data where few independent constraints exist, or more likely, can be used to develop models and confirm or extend interpretation of other geophysical data sets.
Publication type Article
Publication Subtype Journal Article
Title Potential-field sounding using Euler's homogeneity equation and Zidarov bubbling
Series title Geophysics
Volume 59
Issue 6
Year Published 1994
Language English
Publisher Publ by Soc of Exploration Geophysicists
Publisher location Tulsa, OK, United States
Larger Work Type Article
Larger Work Subtype Journal Article
Larger Work Title Geophysics
First page 902
Last page 908
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