On gravity response over vertical cylinder: some notes

• Autorzy: Roy Indrajit Ghosh

Identyfikatory

DOI

10.1007/s11600-023-01036-1

• Języki publikacji: EN

Abstrakty

EN

The aspects of gravity modelling with a semi-infinite vertical line of mass as an approximation to the model of semi-infinite vertical cylinder is critically reviewed. The brief outline of the derivations of gravity response due to both type of models, such as the semi-infinite vertical line of mass and vertical right circular cylinder, is given. The model of semi-infinite vertical right circular cylinder provides no closed form formula to compute gravity response on a free horizontal surface, and the ensuing formulation is comprised of elliptic integrals of the first and second kinds. On the other hand, there exists closed form formula of computing gravity response due to semi-infinite vertical line of mass that approximates closely to the semi-infinite vertical thin rod. Assessment on the limitation of replacing vertical cylinder model by vertical line of mass both by rigorous theoretical discourse and numerical tests is made. It is shown via numerical experiment that if the radius of cross section of the vertical right circular cylinder is one-tenth of its depth of burial, then the approximation of line of mass model would provide reasonably accurate results in the order of 10^-4.

Słowa kluczowe

EN

vertical cylinder; thin rod; gravity

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2023
• Tom: Vol. 71, no. 6
• Strony: 2663--2673
• Opis fizyczny: Bibliogr. 34 poz., rys., tab.

Twórcy

autor

Roy Indrajit Ghosh

• Spaceage Geoconsulting, 5 Bick Place, Banks, ACT, 2906, Australia

• https://orcid.org/0000-0002-4766-2664

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).