In this article we briefly describe algorithms for linear analytical approximations of geophysical potential fields and geological boundary, as well as we present examples of using approximation approach to resolve real-world problems. The approximation functions are sourcewise representable and trigonometric functions, wavelets. The following problems are considered: the 3D-interpolation of gravity field value; transform (including the recalculation of the field onto horizontal plane and the construction of geologically orientated regional background); the estimation of petroleum reserves; calculating of gravity terrain corrections; the decimation of digital elevation model grid.

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