| Citation: | Dongming Hong, Changli Yao, Yuanman Zheng, Wei Guo, Yao Luo. Computation of Magnetic Anomalies and Gradients for Spatial Arbitrary Posture Regular Body. Journal of Earth Science, 2009, 20(6): 995-1002. doi: 10.1007/s12583-009-0085-1
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In the interaction computation for 3D gravity and magnetic anomalies due to arbitrarily shaped homogenous magnetized polyhedron model composed of triangular facets, there are many difficult points, such as mass computing, absence of a mature computer technique in 3D geological body modeling, inconvenient human-computer interaction, hard program coding, etc.. Based on the formulae of the magnetic field due to horizontal regular bodies, and by applying forward theory with the three-dimensional Cartesian coordinate system transformation, the forward problems of magnetic anomalies and gradient tensors for arbitrary slantwise regular bodies were solved. It is shown that the magnetic calculating expressions of the arbitrary posture regular body are corrected by comparing results with the homogeneous polyhedral body model outcome data. Furthermore, in the same condition, the former significantly reduced forward time. Applying a new forward method of regular body expressions in arbitrary posture, developed software for interaction computation between the 3D geological body model and magnetic field has advantages of fast calculation speed, easy manipulation, etc..
| 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 |
| Cooper, G. R. J., 1997. Forward Modeling of Magnetic Data. Computers & Geosciences, 23(10): 1125–1129 |
| Gong, J. Y., Cheng, P. G., Wang, Y. D., 2004. Three-Dimensional Modeling and Application in Geological Exploration Engineering. Computers & Geosciences, 30: 391–404 |
| Guan, Z. N., 2005. Geomagnetic Field and Magnetic Exploration. Geological Publishing House, Beijing (in Chinese) |
| Hou, Z. C., Liu, K. J., 1990. The Formulas and Procedures for Gravimagnetic Anomaly and Derivatives. Geological Publishing House, Beijing (in Chinese) |
| Luo, Y., Yao, C. L., 2007a. Theoretical Study on Cuboid Magnetic Field and its Gradient Expression without Analytic Singular Point. Oil Geophysical Prospecting, 42(6): 714–715 (in Chinese with English Abstract) |
| Luo, Y., Yao, C. L., 2007b. Forward Modeling of Gravity, Gravity Gradients, and Magnetic Anomalies due to Complex Bodies. Journal of China University of Geosciences, 18(3): 280–286 doi: 10.1016/S1002-0705(08)60008-4 |
| Magali, I. B., Oliver, K., Bernd, H., et al., 2008. A Geoscience Perspective on Immersive 3D Gridded Data Visualization. Computers & Geosciences, 34(9): 1056–1072 |
| Mark, J., 2001. Three-Dimensional Geological Modeling of Potential-Field Data. Computers & Geosciences, 27: 455–465 |
| 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 |
| Shuey, R. T., Pasquale, A. S., 1973. End Corrections in Magnetic Profile Interpretation. Geophysics, 38(3): 507–512 doi: 10.1190/1.1440356 |
| Tian, Q. N., Wu, W. L., Guan, Z. N., 2001. Interaction Inversion for 3D Gravity and Magnetic Anomalous Bodies with Arbitrary Shaped. 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 Journal Geophysics, 23(4): 415–426 (in Chinese with English Abstract) |
| Weerachai, S., Egbert, G., Lenbury, Y., et al., 2005. Three-Dimensional Magnetotelluric Inversion: Data-Space Method. Physics of the Earth and Planetary Interiors, 150(1): 3–14 |
| Yang, Y. S., Liu, T. Y., Li, Y. Y., 2006. 3D Visualized Inversion on the Gravimagnetic Field of Arbitrarily Shaped Bodies Using Numberical Intergration Method. Geology and Prospecting, 42(5): 79–83 (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 |
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