Gravimetrical Measurements revealing particularities of the gravitational field, play an important role in a research after oil thanks to their capacity to reduce the cost of reconnaissance work. Graphic generalization of the field is given by gravimetrical maps of the field anomalies, drawn out with the corresponding software on the basis of one or other version of interpolation formula. Mathematical models of the trend forming regional reference-surface, can extend the capabilities of graphic generalization of measurements. With these models and corresponding contour maps, the local particularities of the gravitational field reveal themselves more clearly. The use of models in the manner of truncated decompositions in Fourier series on spherical surfaces is offered for practical geophysical tasks. An algorithm of adaptive statistical modelling which allows optimum mathematical models to be built is considered. In the last section we describe the developed software that allows us to build the statistical potential field models. The corresponding field maps of residual anomalies are described.
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