• Corpus ID: 119719264

Use of spheroidal models in gravitational tomography

  title={Use of spheroidal models in gravitational tomography},
  author={Valery Sizikov},
  journal={arXiv: Numerical Analysis},
  • V. Sizikov
  • Published 18 August 2015
  • Geology, Mathematics
  • arXiv: Numerical Analysis
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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