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Gravity Potential Series Expansion for Homogeneous Polyhedra
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 70th EAGE Conference and Exhibition incorporating SPE EUROPEC 2008, Jun 2008, cp-40-00495
- ISBN: 978-90-73781-53-5
Abstract
Series expansion methods in gravity anomaly calculations provide a convenient representation of the local anomaly that do not require the complexity of a full anomaly computation at every evaluation point within a region of interest around the expansion point. We give one approach to obtaining such an expansion, appropriate when the causative body is a homogeneous polyhedral target. We make use of the known gravi-magnetic anomaly formulae for such targets, to obtain computationally stabilised coefficients of the series exansion around an interest point. We develop the formulae for the gravity potential as a the series expansion, and show that the method can have efficiency advantages over gridded interpolation as a means of expressing the local variation in potential.