NDLI: A new physical foundation for anomalous gravity

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Studia Geophysica et Geodaetica : Volume 50, Issue 1, January 2006

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A new physical foundation for anomalous gravity

Content Provider	Springer Nature Link
Author	Vajda, P. Vaníček, P. Meurers, B.
Copyright Year	2006
Abstract	The rigorous relation between the sought subsurface anomalous density distribution and the gravity anomaly, the gravity disturbance, and the geoidal height is newly reviewed. The emphasis is put on the proper treatment of the respective effects of topographical masses. The aim is to prove, that the rigorous formulation of the above mentioned relations calls for using such topographical corrections that adopt the reference ellipsoid as the lower boundary of the topography, and a reference topographical density. We base our derivations on a reference topographical density that is chosen to be globally constant. Such topographical corrections are then referred to as “No Ellipsoidal Topography of Constant Density” corrections, abbreviated as “NETC” corrections, as they differ from the commonly used Bouguer topographical corrections. We derive the NETC corrections to the disturbing potential, the gravity disturbance, the gravity anomaly, and the geoidal height. Equations are derived, that link the anomalous density, via Newton integrals with specific kernels, with the NETC gravity disturbance, the NETC gravity anomaly, and the NETC geoidal height. Prescriptions for compiling the NETC gravity disturbance, anomaly, and geoidal height from observable data are derived. It is proved, that the NETC gravity disturbance is rigorously equal to the gravitational effect (attraction) of the anomalous density distribution inside the entire earth. That is the fundamental point of the paper. The spherical complete Bouguer anomaly (SCBA) widely used in geophysical studies is then compared with the NETC gravity disturbance. The SCBA is also demonstrated to be a hybrid quantity, neither an anomaly, nor a disturbance. The systematic deviation between the SCBA and the NETC gravity disturbance is shown to be the most general form of the so called geophysical indirect effect (GIE), which is defined as the departure of the SCBA from the attraction of anomalous earth’s masses. The GIE is computed for the area of the Eastern Alps.
Starting Page	189
Ending Page	216
Page Count	28
File Format	PDF
ISSN	00393169
Journal	Studia Geophysica et Geodaetica
Volume Number	50
Issue Number	2
e-ISSN	15731626
Language	English
Publisher	Kluwer Academic Publishers-Consultants Bureau
Publisher Date	2006-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	gravimetric inverse problem geophysical indirect effect disturbance topographical correction NETC space Structural Geology Geophysics/Geodesy Meteorology/Climatology
Content Type	Text
Resource Type	Article
Subject	Geochemistry and Petrology Geophysics

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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