• Corpus ID: 119719264

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}
}
  • 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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References

SHOWING 1-10 OF 43 REFERENCES
Modeling of deposits by spheroids
The forward gravity problem is solved with the use of the subdivision of each body of a deposit into a set of adjoining vertical bars, and in the inverse problem each body of a deposit is modeled by…
The simultaneous solution of the inverse problem of gravimetry and magnetics by means of non-linear programming
Summary. This paper deals with the inverse gravity and magnetic problem solution in the course of a search for the form of the disturbing body. The problem is reduced to the plane through the…
Non-smooth gravity problem with total variation penalization functional
Summary This work deals with reconstruction of non-smooth solutions of the inverse gravimetric problem. This inverse problem is very ill-posed, its solution is non-unique and unstable. The stable…
Inversion of gravity data with isostatic constraints
We have developed a simple iterative gravity-inversion approach to map the basement and Moho surfaces of a rift basin simultaneously. Gravity anomalies in rift basins commonly consist of interfering…
Numerical aspects of a spline-based multiresolution recovery of the harmonic mass density out of gravity functionals
We show the numerical applicability of a multiresolution method based on harmonic splines on the 3-dimensional ball which allows the regularized recovery of the harmonic part of the Earth's mass…
Moho depth and sediment thickness estimation beneath the Red Sea derived from satellite and terrestrial gravity data
ABSTRACTWe sought to map the depth and density contrast of the Mohorovicic discontinuity (Moho) across the Red Sea area and to model sedimentary thickness from gravity data. The gravity data that are…
The structural geology of the High Central Zagros revisited (Iran)
The main purpose of this study in the High Central Zagros area near the townships of Lordegan and Yasuj was to investigate the nature of the High Zagros Fault (HZF) and the structural styles in the…
Evaluating the utility of gravity gradient tensor components
Gravity gradiometry offers multiple single components and possible combinations of components to be used in interpretation. Knowledge of the information content of components and their combinations…
The Physics of Medical Imaging
TLDR
The mathematics of image formation and image processing: The concept of object and image The relationship between object and images The general image processing problem Discrete Fourier representation and the models for imaging systems The general theory of image restoration.
Extragalactic astronomy
Galaxies and the Universe.(Stars and Stellar Systems: Compendium of Astronomy and Astrophysics, Vol. 9.) Edited By A. Sandage, M. Sandage and Jerome Kristian. Pp. xxii+818. (University of Chicago:…
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