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Approximation of gravitational calculation based on analytical models

    Ashraf A. A. Beshr   Affiliation
    ; Fawzi H. Zarzoura Affiliation

Abstract

Gravity meters can be used to measure all effects that make up the Earth’s gravity field. Many of these effects are caused by known sources such as the Earth’s rotation, distance from the Earth’s center, topographic relief, and tidal variation. Physical fields are the main component of many centuries of the paradigm of all of Earth Sciences. The changing gravitational field is very important subject of research in the scientific aspect and practical. This paper applies two analytical models to simplify the gravitation calculation, which are sphere and cone models. Examples and finite element applications for the two models are studied also and discussed. The results of this study reveal that the possibility of using the proposed method with using presented analytical, finite element and numerical models to estimate the better determination of the characteristics of the local gravity of natural and man-made objects of sizes up to several tens of kilometers.

Keyword : gravitational field, finite element, abnormal masses, direct and inverse problems, gravity

How to Cite
Beshr, A. A. A., & Zarzoura, F. H. (2022). Approximation of gravitational calculation based on analytical models. Geodesy and Cartography, 48(3), 124–133. https://doi.org/10.3846/gac.2022.14854
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Oct 4, 2022
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References

Al-Garni, M. (2011). Inversion of residual gravity anomalies using neural network. Arabian Journal of Geosciences, 6(5), 1509–1516. https://doi.org/10.1007/s12517-011-0452-y

Battaglia, M., & Hill, D. P. (2009). Analytical modeling of gravity changes and crustal deformation at volcanoes: The Long Valley caldera, California, case study. Tectonophysics, 471(1–2), 45–72. https://doi.org/10.1016/j.tecto.2008.09.040

Charco, M., Luzón, F., Fernández, J., & Tiampo, K. F. (2007). Topography and self-gravitation interaction in elastic-gravitational modeling. Geochemistry, Geophysics, Geosystems, 8(1). https://doi.org/10.1029/2006GC001412

Hilst, R. (2004). Essentials of geophysics. Courses: earth-atmospheric-and-planetary-sciences. http://ocw.mit.edu/courses/earth-atmospheric-and-planetary-sciences/12-201-essentials-of-geophysics-fall-2004/

Hofmann, B., & Moritz, H. (2006). Physical geodesy (2 ed.). Springer.

Mazurov, B. T. (2007). Model of system of supervision over vertical movements of a terrestrial surface and changes of a gravitational field around an active volcano. A Geodesy and Air Photography, 3, 93–102.

Mazurov, B. T., Pankrushin, V. K., & Seredovich, V. A. (2004a). Mathematical modeling and identification of the is intense-deformed condition of geodynamic systems in aspect of the forecast of natural and technogenic accidents. The Bulletin of the Siberian State Geodetic Academy, 9, 30–35.

Mazurov, B., Seredovich, V., & Pankrushin, V. (2004b). Mathematical modeling and identification of the stressed-deformed state of geodynamic systems by spatio-temporal series of combined geodetic and geophysical observations in the light of prediction of natural and technogenic catastrophes. In FIG Working Week 2004, Athens, Greece.

Mazurov, B. T., & Pankrushin, V. K. (2006, March 29–31). Models parameter adaptation of geodynamic objects and observation systems with a kalman-bucy filter. In Fifth International Symposium “Turkish-German Joint Geodetic Days”, Berlin, Germany.

Shandarin, S., & Sathyaprakash, B. (1996). Modeling gravitation clustering without computing gravitation force. Astrophysical Journal Letters, 467, L25–L28. https://doi.org/10.1086/310186

Stepanova, I. E., Shchepetilov, A. V., Salnikov, A. M., Mikhai­lov, P. S., Pogorelov, V. V., Batov, A. V., & Timofeeva, V. A. (2021). Application of a combined approach based on analytical approximations and construction of gravity field integral curves for the interpretation of marine and airborne gravimetric data. Seismic Instruments, 57, 614–624. https://doi.org/10.3103/S074792392105008X

Yin, Z., & Sneeuw, N. (2021). Modeling the gravitational field by using CFD techniques. Journal of Geodesy, 95, 68. https://doi.org/10.1007/s00190-021-01504-w