Authors :
L. M Razafindranaivo
Volume/Issue :
Volume 10 - 2025, Issue 4 - April
Google Scholar :
https://tinyurl.com/4swctzc2
Scribd :
https://tinyurl.com/y9yjeb48
DOI :
https://doi.org/10.38124/ijisrt/25apr495
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Abstract :
This Article Provides A Detailed Description of The Regional Modeling Formalism Within A Rectangular
Domain. This Approach Called Regional Rectangular Harmonic Analysis (R-RHA), Could Be Particularly Useful For
Utilizing, For The First Time, Data From Malagasy Repeat Stations That Have Been Reoccupied Since 1983. Existing
Regional Modeling Techniques Are Not Well Suited For Madagascar, As They Typically Require A Large Amount Of
Data To Be Applied Correctly. However, Madagascar Has Only 25 Repeat Stations In Total, And Not All Of Them Are
Reoccupied During A Magnetic Survey. The Results Obtained Using The Optimal Parameters Of The Rectangular Model
Confirm Its Validity For Madagascar. Its Reliability Remains Limited To Areas Covered By Measurements. Even Though
The Dataset Is Not Extensive, At Least One Measurement Is Required At Each Of The Following Stations : Antsiranana,
Mahajanga, Toamasina, Toliary, And Taolagnaro. The Lack Of Data From Any Of These Regions Would Prevent The
Proper Development Of Magnetic Maps Of Madagascar Using This Formalism.
Keywords :
Regional Modeling, Magnetic Field, Repeat Stations, Rectangular Domain, Madagascar.
References :
- Alldredge, L. R., 1981 : Rectangular Harmonic Analysis applied to the geomagnetic Field, Journal of Geophysical Research, vol. 86, NO. B4, 3021-3026.
- De Santis, A., Kerridge, D. & Barraclough, D., 1989 : A Spherical Cap Harmonic model of the crustal magnetic anomaly field in Europe observed by Magsat, Geomagnetism and Paleomagnetism, 261, 1-17.
- Haines, G. V., 1985 : Spherical Cap Harmonic Analysis, Journal of Geophysical Research, 2583-2592.
- Haines, G. V., 1990 : Regional magnetic field modelling: à review, Journal of Geomagnetism and Geoelectricity, 42, 1001-1018.
- Hwang, C. & Chen, S., 1997 : Fully normalized Spherical Cap Harmonics: application to the analysis of sea-level data from TOPEX/POSEIDON and ERS-1, Geophysical Journal International, 129, 450-460.
- Korte, M. & Haak, V., 2000 : Modeling European magnetic repeat station and survey data by SCHA in search of time-varying anomalies, Physics of the Earth and Planetary Interiors, 122, 205-220.
- Sabaka, T. J., N. Olsen, and M.E. Purucker, 2004 : Extending comprehensive models of the Earth’s magnetic field with Ørsted and CHAMP data, Geophysical Journal International, 159, 521 – 547.
- Thébault, E., 2003 : Modélisation régionale du champ magnétique terrestre, Thèse de Doctorat, Université Louis Pasteur–
This Article Provides A Detailed Description of The Regional Modeling Formalism Within A Rectangular
Domain. This Approach Called Regional Rectangular Harmonic Analysis (R-RHA), Could Be Particularly Useful For
Utilizing, For The First Time, Data From Malagasy Repeat Stations That Have Been Reoccupied Since 1983. Existing
Regional Modeling Techniques Are Not Well Suited For Madagascar, As They Typically Require A Large Amount Of
Data To Be Applied Correctly. However, Madagascar Has Only 25 Repeat Stations In Total, And Not All Of Them Are
Reoccupied During A Magnetic Survey. The Results Obtained Using The Optimal Parameters Of The Rectangular Model
Confirm Its Validity For Madagascar. Its Reliability Remains Limited To Areas Covered By Measurements. Even Though
The Dataset Is Not Extensive, At Least One Measurement Is Required At Each Of The Following Stations : Antsiranana,
Mahajanga, Toamasina, Toliary, And Taolagnaro. The Lack Of Data From Any Of These Regions Would Prevent The
Proper Development Of Magnetic Maps Of Madagascar Using This Formalism.
Keywords :
Regional Modeling, Magnetic Field, Repeat Stations, Rectangular Domain, Madagascar.
