A fast inversion method for magnetic components

Vector geomagnetic survey technique can obtain simultaneously the magnitude and direction information of the geomagnetic field, which can effectively reduce the multiplicity of solutions on the inversion, contribute to the quantitative interpretation of the magnetic body, so as to improves the detection resolution and positioning accuracy of the ore. The development of magnetic component inversion is restricted by factors such as the estimation accuracy of the direction of magnetization, the calculation efficiency of the objective function. According to the analytic solution formula of the magnetic component, three kernel matrices can be constructed to calculate the magnetic components Bx, By, and Bz by using the magnetization intensity, which can not only avoid the prior estimation of the direction of the magnetization, but also the constructed kernel matrix is a blocky toeplitz matrix with the help of the special blocking method of the equivalent geometric architecture. And because of the structureal properties of the blocky toeplitz matrix, the computational of the kernel matrix and magnetization intensity is simplified and the huge storage consumption is reduced.Finally, the regularization method is used to invert the solution. A theoretical model is used to verify the utility and reliability of the method.The result shows that compared with the traditional method, the computational time of the proposed method is reduced greatly, and the inversion results are consistent with the input model.