Calculation of gravity due to a vertical cylinder using a spherical harmonic series and numerical integration
Sung-Ho Na 1 3 Hyoungrea Rim 2 3 4 Young-Hong Shin 2 Mutaek Lim 2 Yeong-Sue Park 2 31 Space Geodetic Observation Center, NGII, Sejong 339-821, Korea.
2 Korea Institute of Geoscience and Mineral Resources, Daejeon 305-350, Korea.
3 Geophysical Exploration, Korea University of Science and Technology, Daejeon 305-350, Korea.
4 Corresponding author. Email: rhr@kigam.re.kr
Exploration Geophysics 46(4) 381-386 https://doi.org/10.1071/EG14123
Submitted: 12 December 2014 Accepted: 12 December 2014 Published: 30 January 2015
Abstract
We developed a spherical harmonic series that represents the gravitational potential and its gravity field due to a buried right vertical cylinder. This series can be used at far- and intermediate-regions, and is fast and accurate, using only a few terms. We compared the values of the fields acquired by this new spherical harmonic series, with ones computed by direct numerical integrations, using a fine-mesh structure for a vertical cylinder. Results of the calculations are shown and performances of the two different methods are compared. Faithfulness of the spherical harmonic series is tested with an inversion example.
Key words: gravity, gravity potential, numerical integration, spherical harmonics, vertical cylinder.
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