Abstract
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.
Highlights
Finite element method is an effective method to solve mathematical problems [1]
Different weight functions and interpolation functions are used to form different finite element methods. e finite element method was first used in structural mechanics, and it was used in the numerical simulation of hydrodynamics with the development of computers [4]
The actual model of Jinchuan copper nickel deposit is modeled by the unstructured grid, and the finite element method is used for numerical simulation, and the results of simulation are inverted by the growth code, which shows that the inverse result of the algorithm is very good, which proves the effectiveness of the algorithm used in this paper
Summary
Finite element method is an effective method to solve mathematical problems [1]. It is based on the variational principle and the weighted residual method. E calculation of the gravity anomaly generated by the three-dimensional geological body can be transformed into the boundary value problem of the Poisson equation, so the finite element method can be used to solve the gravity anomaly field of the three-dimensional geological model, and it provides an effective new method for the calculation of the gravity anomaly generated by the abnormal body [18]. The actual model of Jinchuan copper nickel deposit is modeled by the unstructured grid, and the finite element method is used for numerical simulation, and the results of simulation are inverted by the growth code, which shows that the inverse result of the algorithm is very good, which proves the effectiveness of the algorithm used in this paper
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