APPLIED GEOPHYSICS
 
        首页  |  版权声明  |  期刊介绍  |  编 委 会  |  收录情况  |  期刊订阅  |  下载中心  |  联系我们  |  English
应用地球物理  2016, Vol. 13 Issue (1): 59-68    DOI: 10.1007/s11770-016-0533-5
论文 最新目录 | 下期目录 | 过刊浏览 | 高级检索 Previous Articles  |  Next Articles  
基于三维Taylor多项式和曲面Spline模型的区域磁异常场研究
冯彦1,2,蒋勇1,姜乙1,李正1,蒋瑾1,刘中微1,叶美晨1,王弘晟1,李秀明1
1. 南京信息工程大学数学与统计学院,南京 210044
2. 中国科学院空间天气国家重点实验室,北京 100080
Regional magnetic anomaly fields: 3D Taylor polynomial and surface spline models
Feng Yan1,2, Jiang Yong1, Jiang Yi1, Li Zheng1, Jiang Jin1, Liu Zhong-Wei1, Ye Mei-Chen1, Wang Hong-Sheng1, and Li Xiu-Ming1
1. The College of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, China.
2. Sate Key Laboratory of Space Weather, Chinese Academy of Sciences, Beijing 100080, China.
 全文: PDF (1099 KB)   HTML ( KB)   输出: BibTeX | EndNote (RIS)      背景资料
摘要 使用三维Taylor多项式模型,结合曲面Spline模型以及1960.0、1970.0、1980.0、1990.0和2000.0年的实测三要素数据以研究中国大陆地区的地磁异常场。为了获取较为真实可靠的磁异常场,从实测数据中移除了主磁场和电离层磁场和磁层磁场的感应场部分。将两种模型所得到的磁异常与基于实测点和Kriging插值法得到的磁异常相比较。通过将所有测点归算至2000.0年以研究磁异常的整体分布情况。结果显示无论分布还是强度,基于曲面Spline模型和基于Kriging插值法的总强度F的磁异常基本相似。对于整体分布而言,地磁要素X、Y、Z和F的磁异常分布都以负值为主。基于三维模型的磁异常显示随着经度的增加,要素X的强度由-100增加到0nT左右,要素Y的强度从400降低到20nT左右,大陆东部地区基本为负值。要素Z和F的强度变化非常相似,大部分地区都为-50nT左右,西藏西部有一更强的负异常区域。曲面Spline模型可以更好地反映磁异常细节,而实测点的分布不均会产生一些较大的磁异常。考虑了高度因素的三维模型可进行更好的模拟,其与Kriging方法所建的磁异常分布较为一致。
服务
把本文推荐给朋友
加入我的书架
加入引用管理器
E-mail Alert
RSS
作者相关文章
冯彦
蒋勇
姜乙
李正
蒋瑾
刘中微
叶美晨
王弘晟
李秀明
关键词磁异常场   三维Taylor多项式   曲面Spline   CM4     
Abstract: We used data from 1960.0, 1970.0, 1980.0, 1990.0, and 2000.0 to study the geomagnetic anomaly field over the Chinese mainland by using the three-dimensional Taylor polynomial (3DTP) and the surface spline (SS) models. To obtain the pure anomaly field, the main field and the induced field of the ionospheric and magnetospheric fields were removed from measured data. We also compared the SS model anomalies and the data obtained with Kriging interpolation (KI). The geomagnetic anomaly distribution over the mainland was analyzed based on the SS and 3DTP models by transferring all points from 1960.0−1990.0 to 2000.0. The results suggest that the total intensity F anomalies estimated based on the SS and KI for each year are basically consistent in distribution and intensity. The anomalous distributions in the X-, Y-, and Z-direction and F are mainly negative. The 3DTP model anomalies suggest that the intensity in the X-direction increases from −100 nT to 0 nT with longitude, whereas the intensity in the Y-direction decreases from 400 nT to 20 nT with longitude and over the eastern mainland is almost negative. The intensity in the Z-direction and F are very similar and in most areas it is about −50nT and higher in western Tibet. The SS model anomalies overall reflect the actual distribution of the magnetic field anomalies; however, because of the uneven distribution of measurements, it yields several big anomalies. Owing to the added altitude term, the 3DTP model offers higher precision and is consistent with KI.
Key wordsMagnetic anomaly field   three-dimensional Taylor polynomial   surface spline   CM4   
收稿日期: 2014-12-12;
基金资助:

本研究由国家自然科学基金(编号:41404053)、公益性行业(气象)科研专项(编号:GYHY201306073)、江苏省自然科学基金(编号:BK20140994)、江苏省高校自然科学研究基金(编号:14KJB170012)和南京信息工程大学大学生创新创业训练计划项目(编号:201510300178)联合资助。

引用本文:   
冯彦,蒋勇,姜乙等. 基于三维Taylor多项式和曲面Spline模型的区域磁异常场研究[J]. 应用地球物理, 2016, 13(1): 59-68.
Feng Yan,Jiang Yong,Jiang Yi et al. Regional magnetic anomaly fields: 3D Taylor polynomial and surface spline models[J]. APPLIED GEOPHYSICS, 2016, 13(1): 59-68.
 
[1] An, Z. C., 1992a, Calculation and analysis of the gradient of the total geomagnetic intensity: Geophysical & Geochemical Exploration (in Chinese), 16(5), 365−369.
[2] An, Z. C., 1992b, Calculations and analyses of the horizontal gradient of the geomagnetic field: Advance in Earth Science (in Chinese), 7(1), 39−43.
[3] An, Z. C., 2000, Studies on geomagnetic field models of Qinghai-Xizang plateau: Chinese Journal of Geophysics (in Chinese), 43(3), 339−345.
[4] An, Z. C., 2003, Spherical cap harmonic analysis of the geomagnetic residual field in China for 1950−1990: Chinese Journal of Geophysics (in Chinese), 46(6), 767−771.
[5] Feng, Y., 2011, Simulation of Lithospheric Magnetic Field over Chinese Mainland: Doctoral Dissertation. Nanjing Agricultural University, Nanjing.
[6] Feng, Y., An, Z., Sun, H., and Mao, F., 2010a, Analysis of variation in geomagnetic field of Chinese mainland based on comprehensive model CM4: Acta Physica Sinsca (in Chinese), 59(12), 8941−8953.
[7] Feng, Y., An, Z., Sun, H., and Mao, F., 2010b, A study on model of geomagnetic normal field of China region: Advance in Earth Science (in Chinese), 25(7), 723−729.
[8] Gao, J., An, Z., Gu, Z., Han, W., Zhan, Z., and Yao, T., 2005, Selections of the geomagnetic normal field and calculations of the geomagnetic anomalous field: Chinese Journal of Geophysics (in Chinese), 48(1), 56−62.
[9] Gao, J., An, Z., Gu, Z., Han, W., Zhan, Z., and Yao, T., 2006, Distributions of the geomagnetic field and its secular variations expressed by the surface Spline method in China (a part) for 1900−1936. Chinese Journal of Geophysics (in Chinese), 49(2), 398−407.
[10] Gu, Z., An, Z., Gao, J., Zhan, Z., Yao, T., Han, W., and Chen, B., 2006a, Computation and analysis of the geomagnetic field model in China and its adjacent area for 2003: Acta Seismologica Sinica, 19(2), 145−154.
[11] Gu, Z., An, Z., Gao, J., Han, W., and Zhan, Z., 2004, Spherical cap harmonic analysis of the geomagnetic field in the Beijing-Tianjin-Hebei region: Chinese Journal of Geophysics (in Chinese), 47(6), 1003−1008.
[12] Gu, Z., Chen, B., Gao, J., Xin, C., Yuan, J., and Di, C., 2009, Research of geomagnetic spatial-temporal variation in China by NOC method: Chinese Journal of Geophysics (in Chinese), 52(10), 2602−2612.
[13] Gu, Z., Zhan, Z., Gao, J., Han, W., An, Z., Yao, T., and Chen, B., 2006b, Geomagnetic survey and geomagnetic model research in China: Earth Planets Space, 58(6), 741−750.
[14] Langel, R., Estes, R., and Mead G. D., 1982, Some new methods in geomagnetic field modeling a pplied to the 1960-1980 epoch: Journal of Geomagnetism and Geoelectricity, 34(6), 327−349.
[15] Langel, R. A., Sabaka, T. J., Baldwin, R. T., and Conrad, J. A., 1996, The near Earth magnetic field from magnetospheric and quiet-day ionospheric sources and how it is modeled: Physics of the Earth and Planetary Interiors, 98(3−4) 235−267.
[16] Liu, S. J., Zhou, X. G., Sun, H., and An, Z., 2011, The three dimension Taylor polynomial method for the calculation of regional geomagnetic: Process in Geophys. (in Chinese), 26(4), 1165−1174.
[17] Maus, S., 2010, An ellipsoidal harmonic representation of Earth’s lithospheric magnetic field to degree and order 720, Geochemistry Geophysics Geosystems, 11(6), Q06015.
[18] Maus, S., Yin, F., Luhr, H., Manoj, C., Rother, M., Rauberg, J., Michaelis, I., Stolle, C., and Muller, R. D., 2008, Resolution of direction of oceanic magnetic lineations by the sixth-generation lithospheric magnetic field model from CHAMP satellite magnetic measurements: Geochemistry Geophysics Geosystems, 9(7), 488−498.
[19] Maus, S., Luhr, H., Rother, M., Hemant, K., Balasis, G., Ritter, P., and Stolle, C., 2007, Fifth-generation lithospheric magnetic field model from CHAMP satellite measurements: Geochemistry Geophysics Geosystems, 8(5), 622−634.
[20] Olsen, N., 1993, The solar cycle variability of lunar and solar daily geomagnetic variations: Ann. Geophys., 11(4), 254−262.
[21] Sabaka, T. J., Olsen, N., and Langel, R. A., 2002, A comprehensive model of the quiet-time, near-Earth magnetic field: phase 3: Geophys. J. Int., 151(1), 32−68.
[22] Sabaka, T. J., Olsen, N., and Purucker, M. E., 2004, Extending comprehensive models of the Earth’s magnetic field with Ørsted and CHAMP data: Geophys. J. Int., 159(2), 521−547.
[23] Tschu, K., and Xu, W., 1985, A nested geomagnetic model of China and neighbouring region, Chinese Journal of Geophysics (in Chinese), 28(2), 133−141.
[24] Wang, Y., An, Z., Golovkov, V. P., Rotatnova, N. M., and Kharitonov, A. L., 1999, Theoretical analysis of geomagnetic field over east Asia and rectangular harmonic model: Chinese Journal of Geophysics (in Chinese), 42(5), 640−647.
[25] Xu, W., Xia, G., An, Z., Chen, G., Zhang, F., Wang, Y., Tian, Y., Wei, Z., Ma, S., and Chen, H., 2003, Magnetic survey and ChinaGRF 2000: Earth, Planets and Space, 55(4), 215−217.
[1] 冯彦,蒋勇,姜乙,刘宝嘉,蒋谨,刘中微,叶美晨,王弘晟,李秀明. 基于CHAMP卫星的区域卫星磁异常球冠谐分析[J]. 应用地球物理, 2016, 13(3): 561-569.
[2] 冯彦, 孙涵, 蒋勇. 基于数据拟合的区域地磁场建模研究[J]. 应用地球物理, 2015, 12(3): 303-316.
版权所有 © 2011 应用地球物理
技术支持 北京玛格泰克科技发展有限公司