Calculation of geoid–quasigeoid separation using the solution of Laplace’s equation by finite difference method—examples from Iran

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• 作者：Mahmoud Mehramuz ; Hossein Zomorrodian ; Sajad Sharifi
• 关键词：Geoid–quasigeoid separation ; Finite difference method ; Laplace equation ; Normal height ; Orthometric height
• 刊名：Arabian Journal of Geosciences
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：8
• 期：3
• 页码：1513-1520
• 全文大小：6,027 KB
• 参考文献：1. Featherstone, WE, Kirby, JF (1998) Estimation of the separation between the geoid and the quasigeoid over Australia. Geomatics Res Aust 68: pp. 79-90
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  5. Mehramuz, M, Zomorrodian, H, Ardalan, AA (2011) On geophysical application of the separation between the geoid and quasi-geoid case study: four regions in Iran. Aust J Basic Appl Sci 5: pp. 127-135
  6. Prutkin, I, Klees, R (2008) On the non-uniqueness of local quasi-geoids computed from terrestrial gravity anomalies. J Geod 82: pp. 147-156 CrossRef
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• 刊物类别：Earth and Environmental Science
• 出版者：Springer Berlin Heidelberg
• ISSN：1866-7538

文摘

Determining precise separation between geoid and quasigeoid is of great importance in physical geodesy. Different methods are used in order to obtain this quantity at any point on the earth surface. In this paper, the geoid–quasigeoid separation is determined at the internal points of three regions including Alborz, Kavir plain, and Khuzestan in Iran. To do so, the known boundary separation values in the three mentioned regions are used and the Laplace equation is solved by finite difference method. Comparison of the separation values obtained from finite difference method and the separation values obtained from normal and orthometric heights in the three studied regions showed that the finite difference method is properly capable of determining the geoid–quasigeoid separation. Moreover, the results obtained from this method in coastal and flat regions are more valid than those in mountainous regions with ragged topography.