Magnetization vector inversion equations and 2D forward and inversed model study
磁化强度矢量反演方程及二维模型正反演研究

We derive magnetization vector tomography imaging equations and compare them with the magnetization scalar tomoqraphy imaging equations. The derived equations are applicable to 3D and 2D magnetization vector inversion problems, to vertical component magnetic data or total magnitude of magnetic data. In the inversion process, an improved Gauss Sadel interative method with a weight coefficient determined according prism's berried depth is introduced. 2D model forward and inversed studies show that when the model consists two layers, each has 51 prisms, the inversed vertical and horizontal magnetization component with the zero magnetization initial model are consistent well with the model's parameters, except the edge effect near the boundary. When the model consists five layers, each has 51 prisms, the inversed vertical and horizontal magnetization components can be obtained with a homogeneous initial magnetization model instead of the zero initial magnetization one, and the boundary effect all so exists instead. But we can not get detail fine magnetization structures from the inversion results. These problems should to further studied in the future.