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THE CALCULATION OF GRAVITY ANOMALY OF THE THREE DIMENSIONAL SPHERE-CORONAL MODEL BASED ON THE TRIANGLE ELEMENT METHOD |
GAO Li-kun1, JIANG Fu-yu2, MENG Ling-shun2 |
1. State Key Laboratory of Mineral Deposits Research, Department of Earth Sciences ,Nanjing University, Nanjing 210093, China ; 2. Department of Earth Science and Engineering, College of Civil Engineering, Hohai University, Nanjing 210098, China;3. College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China |
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Abstract This paper puts forward the triangle element method for calculating gravity anomaly of three-dimensional sphere-coronal model by using the divergence theorem. In this study, the volume integration was changed into surface integral, a series of triangles were used to fit the surface, and then the Green’s formula was adopted to change surface integral into line integral. At the same time, a reasonable calculation program was given. The surface gravity anomalies of homogeneous and non-homogeneous density sphere-coronal models were calculated and, as a result, the planar anomaly maps of the two models were drawn. An error analysis has proved the effectiveness and reliability of this method.
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Published: 10 April 2009
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