scholarly journals Numerical Simulation of Gravity Anomaly Based on the Unstructured Element Grid and Finite Element Method

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Chenyang Xu ◽  
Zhijun Huo ◽  
Gaetano Giunta

Finite element method is an important method to solve mathematical problems in engineering. Many mathematical equations are difficult to solve, but it becomes very simple after using the finite element method. In this paper, the finite element method is applied to the calculation of gravity anomaly. First, the variational equation of gravity anomaly calculation is established, and then the gravity anomaly value ten times the distance away from the anomaly body is used as the boundary condition. By comparing the gravity anomaly obtained by solving the stiffness matrix with the analytical solution, it can be found that the method in this paper has high accuracy. Finally, the model of Jinchuan copper nickel deposit is used for calculation, and the calculated gravity anomaly field is inverted with Growth3D. It can be found that the inversion result is very close to the model, which verifies the effectiveness of the algorithm in this paper.

Geophysics ◽  
1971 ◽  
Vol 36 (1) ◽  
pp. 132-155 ◽  
Author(s):  
J. H. Coggon

Application of the finite element method to the solution of physical problems is based on minimization of energy; in the present case electromagnetic energy is minimized. Representation of a volume of space by a number of finite elements and description of field or potential distribution by a finite set of unknown values make it possible to replace the energy variational equation by matrix equations. It is shown that a solution for secondary rather than total field quantities can be obtained directly. Such a procedure has several advantages. Approximations are involved in using non‐infinitesimal elements and finite meshes of elements. It is usually necessary to pay more attention to mesh size than texture (element size). Examples of induced polarization anomalies over two‐dimensional models illustrate effects of topography and of a highly conducting layer above bodies of polarizable material. Computed electromagnetic anomalies of two‐dimensional structures, with line source excitation, include the effects of adjacent conductors and magnetic conductors set in a less conductive half‐space.


Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.


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