# Use of spheroidal models in gravitational tomography

@article{Sizikov2015UseOS, title={Use of spheroidal models in gravitational tomography}, author={Valery Sizikov}, journal={arXiv: Numerical Analysis}, year={2015} }

The direct gravimetry problem is solved using the subdivision of each body of a deposit into a set of vertical adjoining bars, and in the inverse problem each body of a deposit is modeled by a uniform ellipsoid of revolution (spheroid). Well-known formulas for z-component of gravitational intensity of a spheroid are transformed to a convenient form. Parameters of a spheroid are determined by minimizing the Tikhonov smoothing functional using constraints on the parameters. This makes the ill…

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