| Citation: | Yao Luo, Changli Yao. Forward Modeling of Gravity, Gravity Gradients, and Magnetic Anomalies due to Complex Bodies. Journal of Earth Science, 2007, 18(3): 280-286.
|
On the basis of the results of improved analytical expression of computation of gravity anomalies due to a homogeneous polyhedral body composed of polygonal facets, and applying the forward theory with the coordinate transformation of vectors and tensors, we deduced both the analytical expressions for gravity gradient tensors and for magnetic anomalies of a polygon, and obtained new analytical expressions for computing vertical gradients of gravity anomalies and vertical component of magnetic anomalies caused by a polyhedral body. And also we developed explicitly the complete unified expressions for the calculation of gravity anomalies, gravity gradient, and magnetic anomalies due to the homogeneous polyhedron. Furthermore, we deduced new analytical expressions for computing vertical gradients of gravity anomalies due to a finite rectangular prism by applying the newly obtained expressions for gravity gradient tensors due to a polyhedral target body. Comparison with forward calculation of models shows the correctness of these new expressions. It will reduce forward calculation time of gravity-magnetic anomalies and improve computational efficiency by applying our unified expressions for joint forward modeling of gravity-magnetic anomalies due to homogeneous polyhedral bodies.
| Barnett, C. T., 1976. Theoretical Modeling of the Magnetic and Gravitational Fields of an Arbitrarily Shaped Three-Dimensional Body. Geophysics, 41(6): 1353–1364 doi: 10.1190/1.1440685 |
| He, C. L., Zhong, B. S., 1988. A High Accuracy Forward Method for Gravity Anomaly of Complex Body. Computing Techniques for Geophysical and Geochemical Exploration, 10(2): 121–128 (in Chinese with English Abstract) |
| Hou, Z. C., Liu, K. J., 1990. The Formulas and Procedures for Gravimagnetic Anomalies and Its Gradients. Geological Publishing House, Beijing (in Chinese) |
| Li, X., Chouteau, M., 1998. Three-Dimensional Gravity Modeling in All Space. Surveys in Geophysics, 19(4): 339–368 doi: 10.1023/A:1006554408567 |
| Okabe, M., 1979. Analytical Expressions for Gravity Anomalies due to Homogeneous Polyhedral Bodies and Translations into Magnetic Anomalies. Geophysics, 44(4): 730–741 doi: 10.1190/1.1440973 |
| Pohánka, V., 1988. Optimum Expression for Computation of the Gravity Field of Homogeneous Polyhedral Body. Geophysical Prospecting, 36: 733–751 doi: 10.1111/j.1365-2478.1988.tb02190.x |
| Tian, Q. N., Wu, W. L., Guan, Z. N., 2001. Interaction Inversion for 3D Gravity and Magnetic Anomalous Bodies with Arbitrary Shape. Computing Techniques for Geophysical and Geochemical Exploration, 23(2): 125–129 (in Chinese with English Abstract) |
| Wang, B. H., Lin, S. B., Deng, Y. Q., 1980. Magnetic Fields of Uniformly Magnetized Polyhedra. Chinese J. Geophys., 23(4): 415–426 (in Chinese with English Abstract) |
| Yao, C. L., Guan, Z. N., 1997. Computation of Magnetic Gradients due to Three-Dimensional Bodies. Science in China (Ser. D), 40(3): 293–299 doi: 10.1007/BF02877538 |
Figures(4) / Tables(1)
Copyright © 2013-2020 Journal of Earth Science 鄂ICP备15021562号-2
Tel: +86-27-67885075 Fax: +86-27-67885075 E-mail: xbb@cug.edu.cn
Address: Editorial Office of Journal, China University of Geosciences, Yujiashan, Wuhan, Hubei 430074, P. R. China
Supported by:
Beijing Renhe Information Technology Co. Ltd
E-mail:
info@rhhz.net
DownLoad:
