Journals / Harita Dergisi / 2007 / Cilt: 73 - Sayı: 18 (özel sayı)

Modified Stokes' kernel versus window technique: Comparison of optimum combination of gravity field wavelengths in geoid computation

Pages
102–107
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The window technique gives, however, fairly better results than the Stokes' un-modified kernel technique.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Different approaches for combining the gravity field wavelengths in geoid computations have been investigated during the last two decades.
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Key Findings & Data:The window technique has been suggested to get rid of the double consideration of the topographic-isostatic masses within the data window in the framework of the remove-restore technique.
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Conclusion & Impact:The window technique gives, however, fairly better results than the Stokes' un-modified kernel technique.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Different approaches for combining the gravity field wavelengths in geoid computations have been investigated during the last two decades. The window technique has been suggested to get rid of the double consideration of the topographic-isostatic masses within the data window in the framework of the remove-restore technique. The modified Stokes' kernel has been suggested to possibly combine the local data signals with the global geopotential models. Both techniques have been used in computing a gravimetric geoid for Austria. A wide comparison between modified Stokes' kernel and window techniques has been carried out within this investigation in the framework of the geoid computation. The results proved that the reduced gravity anomalies using the window technique are the smoothest, un-biased and have the smallest range. The modified Stokes kernel technique gives the best fit to the GPS/levelling derived geoid. The window technique gives, however, fairly better results than the Stokes' un-modified kernel technique.

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Cite This Article

ABD-ELMOTAAL, H. A., KUEHTREIBER, N. (2022). Modified Stokes' kernel versus window technique: Comparison of optimum combination of gravity field wavelengths in geoid computation. Harita Dergisi, Cilt: 73 - Sayı: 18 (özel sayı), 102–107. https://ajindex.com/articles/533971

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References (14)

  1. Abd-Elmotaal, H., and Kühtreiber, N. (2003) Geoid Determination Using Adapted Reference Field, Seismic Moho Depths and Variable Density Contrast, Journal of Geodesy, 77, 77-85.
  2. Featherstone, W. (49'99) A Comparison of Gravimetric Geoid Models over Western Australia, Computed using Modified Forms of StokesS Integral, Journal of the Royal Society of.Western Australia, 82, 137-145.
  3. Featherstone, W. (2003) Software for Computing Five Existing Types of Deterministically Modified Integration Kernel for Gravimetric Geoid Determination, Computers & Geosciences, 29, 183-193.
  4. Gesch, D.B., and Larson, K.S. (1996) Techniques for Development of Global 1-Kilometer Digital Elevation Models, In: Pec-ora Thirteen, Human Interactions with the Environment - Perspectives from Space, Sioux Falls, South Dakota, August 20-22, 1996.
  5. Heiskanen, W.A., and Moritz, H. (1967)
  6. Physical Geodesy. Freeman, San Francisco. Huang, I, Vam'cek, P., and Novâk, R (2000) An Alternative Algorithm to FFT for the Numerical Evaluation of Stokes's Integral, Stadia geoph. etgeod., 44, 374-380.
  7. Kühtreiber, N., and Abd-Elmotaal, H. (2001) Gravimetric Geoid Computation for Austria Using Seismic Moho Data, In Sideris, M., edt. (2001)
  8. Gravity, Geoid and Geodynamics 2000, International Association of Geodesy Symposia, Banff, Canada, July31 -August4, 2000,123, 311-316.
  9. Meissl, R (1971) A Study of Covariance Functions Related to the Earth's Disturbing Potential, Department of Geodetic Science, The Ohio State University, Columbus, Ohio, 151. Novâk, P., Vam'cek, P., Veronneau, M., Holmes, S., and Featherstone, W. (2001) On the Accuracy of the Modified Stokes's Integration in High-Frequency Gravimetric Geoid Determination, Journal of Geodesy, 74, 644-654.
  10. Sideris, M.G. and Li, Y.C. (1993) Gravity Field Convolutions Without Windowing and Edge-Effects, Bulletin Geodesique, 67, 107-118.
  11. Silva, M.A., Blitzkow, D., and Lobianco, M.C.B. (2002) A Case Study of Different Modified Kernel Applications in Quasi-Geoid Determination, Proceedings of the 3 Meeting of the International Gravity and Geoid Commission, Thessaloniki, Greece, August 26-30, 2002, 138-143.
  12. Sjöberg, L.E. (2003a) A Computational Scheme to Model the Geoid by the Modified Stokes Formula Without Gravity Reductions, Journal of Geodesy, 77,423-432.
  13. Sjöberg, L.E. (2003b) A General Model for Modifying Stokes Formula and its Least-Squares Solution, Journal of Geodesy, 77, 459-464.
  14. Sjöberg, L.E. (2004) A Spherical Harmonic Representation of the Ellipsoidal Correc