The Research And Application Of Tikhonov Regularization Used In Gravity Three Dimensional Inversion

Generally geophysical prospecting method refers to the use of gravity exploration, magnetic prospecting, electrical prospecting, seismic exploration,and other methods based on the different physical properties and used in geology, mining and prospecting method in engineering.Gravity exploration is one of the most important exploration methods in geophysical prospecting method.In this paper, we use Tikhonov regularization algorithm, by making equations to solve the problem of 3D inversion of gravity.The matrix A is constant matrix, representation the unit model impact on the measurement point parameters^X matrix representationunitmodel of residual gravity values; b matrix representation the observed value.In order to solve this equation, first we need to get matrix A by using the method of singular value decomposition (SVD) to decompose matrix A. And then through a general check grade validation (GCV) method or artificial selection of regularization parameter ?, and join operations.Finally get matrix x.In order to solve the skin effect, the general methods is limiting the operation results,and processing the results beyond and out of the scope, such as multiplied by a parameter satisfy its scope,or the depth weighted longitudinal restraint, highlights the results of the target depth.In this paper,we do not use these methods above, by space constraint target body scope or the introduction of the engineering verification of prior condition, to calculate the distribution characteristics of the targetbody.In this article, we based on the research of the simple model, implement and verify the feasibility of inversion algorithm. At the same time, through constant increase constraints, verified the point of view that constraint condition can optimize the inversion results.Then,by increasing the complexity of the model, the applicability of the inversion algorithm was verified. In the end, through processing and researching the measured data, then compare the actual data, the inversion algorithm effectiveness is verified in the practical of data processing.Through 3D inversion, we can get the distribution of gravitational potential field. It is helpful for us to have a more intuitive understanding for not visible region, provide guidance for the exploration and construction later.