Abstract
In this paper, Spherical Cap Harmonic Analysis (SCHA) method was applied to model the geomagnetic field over Vietnam and adjacent area between 15°S and 25°N latitude and 90°E and 130°E in longitude by using magnetic data recorded on CHAMP and Swarm satellites. The characteristic parameters of the method were set at the maximum index Kint = 8 for internal fields, the spherical cap half-angle θ0 = 20°. The regional geomagnetic field over Vietnam and adjacent areas are modelled for the two epochs (2007.0 and 2015.0). Comparison between the SCHA regional geomagnetic field intensity and its time variation with those from IGRF was carried out. The geomagnetic field intensity \( (E_{F}^{SCHA} ) \) from SCHA model varies between −90 and 98 nT for epoch 2007.0 and between −139 and 143 nT for epoch 2015.0; however, the trends of their time variations are the same over Vietnam. The RMS between the magnetic components from SCHA model and ground observations are in the same order. The amplitude of time variation of total field intensity from SCHA model is about tens nT greater than from IGRF over Vietnam.
Highlights
-
The SCHA has been used for modeling the magnetic field in Vietnam and adjacent area at the epochs 2007.0 and 2015.0 from CHAMP and Swarm data.
-
The regional geomagnetic field intensity \( {\text{E}}_{\text{F}}^{\text{SCHA}} \) varies between −90 and 98 nT for epoch 2007.0 and between −139 and 143 nT for epoch 2015.0, which consists of a crustal field and a party of the core field.
-
The time variation of the regional total magnetic field intensity in the period 2007–2015 from the SCHA method has the amplitude larger than the one from IGRF of about 10 nT in the territory of Vietnam.
References
An Z C 2003 Spherical cap harmonic model of the Chinese geomagnetic reference field for 1936; Chinese J. Geophys. 46(5) 624–627.
De Santis A, Battelli A O and Kerridge D J 1990 Spherical cap harmonic analysis applied to regional field modelling for Italy; J. Geomag. Geoelectr. 42 1019–1036.
De Santis A, Torta J M and Lowes F J 1999 Spherical cap harmonics revisited and their relationship ordinary spherical harmonics; Phys. Chem. Earth (A) 24 935–941.
Di C Z, Gu Z W, Bernardo M S, Chen B, Carina G L, Zhang Y, Xin C Z and Gao Z T 2011 The study of magnetic field models for Philippines and its neighboring regions; Chinese J. Geophys. 54 508–515.
Duka B 1998 Comparison of different methods of analysis of satellite geomagnetic anomalies over Italy; Ann. Geofis. 41 49–61.
Feng Y, Sun H, Jiang Y, Jiang Y, Liu B J, Jiang Y, Liu Z W, Ye M C, Wang H S and Li X M 2016 Spherical cap harmonic analysis of regional magnetic anomalies based on CHAMP satellite data; Appl. Geophys. 13(3) 561–569, https://doi.org/10.1007/s11770-016-0567-8.
Gu Z, Zhan Z, Gao J, Han W, An Z, Yao T and Chen B 2006 Geomagnetic survey and geomagnetic model research in China; Earth planet. Space 58 741–750.
Haines G V 1985a Spherical cap harmonic analysis; J. Geophys. Res. 90 2583– 2592.
Haines G V 1985b Spherical cap harmonic analysis of Geomagnetic Secular Variation over Canada 1960–1983; J. Geophys. Res. 90 12,563–12,574.
Haines G V and Newitt L R 1997 The Canadian geomagnetic reference field 1995; J. Geomag. Geoelectr. 49 317–336.
Korte M and Haak V 2000 Modelling European repeat station and survey data by SCHA in search of time-varying anomalies; Phys. Earth Planet. Inter. 122 205–220.
Korte M and Holme R 2003 Regularization of spherical cap harmonics; Geophys. J. Int. 153 253–262.
Kotzé P B and Barraclough D R 1997 Modelling and analysis of POGS data over Southern Africa by spherical cap harmonic analysis; J. Geomag. Geoelectr. 49 441–452.
Kotzé P B 2001 Spherical cap modelling of Oersted magnetic field vectors over Southern Africa; Earth Planet. Space 53 357–361.
Newitt L R and Haines G V 1989 A Canadian geomagnetic reference field for epoch 1987.5; J. Geomag. Geoelectr. 41(2) 249–260.
Langel R A and Estes R H 1985 Large-scale near-Earth magnetic fields from external sources and the corresponding induced internal field; J. Geophys. Res. 90 2487–2494.
Rotanova R M and Odintsov S D 1999 Model of the MAGSAT Magnetic Anomaly Spherical Cap Harmonic Analysis; Phys. Chem. Earth (A) 24 455–459.
Qamili E, De Santis A, Cianchini G, Duka B, Gaya-Piqué L R, Dominici G and Hyka N 2010 Two geomagnetic regional models for Albania and south-east Italy from 1990 to 2010 with prediction to 2012 and comparison with IGRF-11; Earth Planet. Space 62 833–841.
Qiu Y, Wang Z, Jiang W, Zhang B, Li F and Guo F 2017 Combining CHAMP and Swarm satellite data to invert the lithospheric magnetic field in the Tibetan Plateau; Sensors (Basel) 17(2) pii: E238, https://doi.org/10.3390/s170202387.
Thébault E, Schott J J, Mandea M and Hoffbeck J P 2004 A new proposal for spherical cap harmonic modelling; Geophys. J. Int. 159 83–103, https://doi.org/10.1111/j.1365-246X.2004.02361.x.
Thébault E and Gaya-Pique L 2008 Applied comparisons between SCHA and R-SCHA regional modelling techniques; Geochem. Geophys. Geosyst. 9(7), https://doi.org/10.1029/2008GC001953.
Thébault E, Vigneron P, Maus S, Chulliat A, Sirol O and Hulot G 2013 Swarm SCARF dedicated lithospheric field inversion chain; Earth Planet 65 1257–1270.
Thébault E, Finlay C C, Beggan C D, Alken P, Aubert J, Barrois O, Bertrand F, Bondar T, Boness A, Brocco L, Canet E, Chambodut A, Chulliat A, Coïsson P, Civet F, Du A, Fournier A, Fratter I, Gillet N, Hamilton B, Hamoudi M, Hulot G, Jager T, Korte M, Kuang W, Lalanne X, Langlais B, Léger J, Lesur V, Lowes F J, Macmillan S, Mandea M, Manoj C, Maus S, Olsen N, Petrov V, Ridley V, Rother M, Sabaka T J, Saturnino D, Schachtschneider R, Sirol O, Tangborn A, Thomson A, Tøffner-Clausen L, Vigneron P, Wardinski L and Zvereva T 2015 International geomagnetic reference field: The 12th generation; Earth Planet. Space, https://doi.org/10.1186/s40623-015-0228-9, 67–79.
Torta J M, Garcia A M and De Santis A 1993 Geomagnetic reference field for Spain at 1990; J. Geomag. Geoelectr. 45 573–588.
Torta J M, De Santis A and von Frese R R B 2002 A model of the secular change of the geomagnetic field for Antarctica; Tectonophys. 347 179–187.
Tozzi, De Santis A and Luis-Ricardo Gaya-Piqué 2013 Antarctic geomagnetic reference model updated to 2010 and provisionally to 2012; Tectonophys. 585 13–25.
Verbanac G 2007 On regional modelling of the main geomagnetic field; Geofizika 24 1–27.
Verbanac G, Korte G M and Mandea M 2009 Four decades of European geomagnetic secular variation and acceleration; Ann. Geophys. 52 487–503.
Vervelidou F, Thébault E and Korte M 2018 A high resolution lithospheric magnetic field model over southern Africa based on a joint inversion of CHAMP, Swarm, WDMAM and ground magnetic field data; Solid Earth 9 897–910.
Acknowledgements
We acknowledge the operational support of the CHAMP mission by the German Aerospace Center (DLR). We would like to thank ESA for providing prompt access to the Swarm data. This research was supported by the Vietnam Academy of Science and Technology (VAST05.01/18-19).
Author information
Authors and Affiliations
Contributions
Dr. Thanh, main author, carried out the calculations, wrote the manuscript. Dr. Minh gave the idea for the content of paper. Dr. Christine and Prof. Doumbia provided satellite data, improved the manuscript. Prof. Chau and Ms. Dung helped the computations. All authors discussed the results and contributed to the final manuscript.
Corresponding author
Additional information
Communicated by Arkoprovo Biswas
Rights and permissions
About this article
Cite this article
Thanh, L.T., Minh, L.H., Doumbia, V. et al. A spherical cap model of the geomagnetic field over southeast Asia from CHAMP and Swarm satellite observations. J Earth Syst Sci 130, 13 (2021). https://doi.org/10.1007/s12040-020-01507-9
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12040-020-01507-9