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Gravity potential series expansion for homogeneous polyhedra


Reference:

Holstein, H., Anastasiades, C. and Willis, C., 2008. Gravity potential series expansion for homogeneous polyhedra. In: 70th European Association of Geoscientists & Engineers (EAGE) Conference & Exhibition, 2008-06-09 - 2008-06-12, Rome.

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Abstract

The aim is to develop a computationally efficient local representation of the gravity potential of a causative polyhedral body of homogeneous density. To achieve this objective we make use of the gravi-magnetic anomaly formulae for homogeneous polyhdra to express the exact expansion coefficients in a stabilised computational form. 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.

Details

Item Type Conference or Workshop Items (Paper)
CreatorsHolstein, H., Anastasiades, C. and Willis, C.
Related URLs
URLURL Type
http://www.eage.org/events/index.php?eventid=57&Opendivs=s3Organisation
DepartmentsFaculty of Science > Computer Science
RefereedYes
StatusPublished
ID Code26868

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