Geophysical Journal | 2004 volume 26 1

Transformation of similarity and integral equations of gravity and magnetic fields

© Stavrev P.Y.

Transformations of similarity for gravity and magnetic fields in affine spaces are under consideration together with plotted on their base finite - differential and differential similar transformations with regulated ratios between the sources of original field and its transformed varieties. Integral equations have been deduced for differential similar transformations of gravity and magnetic fields. Operator of these transformations involves a field element and its gradient components into parametric linear relation. Geometric and physical meaning of these transformations have been elucidated. They can be useful for solving inverse problems for one-, three-component and gradientometric data.

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