重磁线性反演的正则化方法

重磁线性反演最后都要归结于解数据方程。由于重磁数据方程是奇异方程,通常大多数解方程组的方法都失效。因此,本文采用了正则化方法,通过模型试验,证明了该方法具有解奇异方程和压制高频干扰的功能。为了保证反演结果的可靠,本文提出了一套比较可行的处理资料过程。最后,反演计算了山西太原盆地的莫霍面和居里等温而,其结果与已有的地质、地球物理资料相吻合。

THE REGULARIZATION METHOD OF THE MAGNET AND GRAVITY LINEAR INVERSION

The gravitational and magnetic linear inversion should be finally ended in the solution data equations. Since the data equation of the gravitational magnet is a singular one. In general, most of the solution equations are out of effect. Therefore, in this paper the author puts forward the regularization method for solving the magnetic and gravitational data equations. With the help of calculation modles, the writer proved that the method is of the function of the solving the singular equations and overcoming the disturbance from high frequency. In order to ensure the stability of the inversion results, the writer puts forward a set of practicable treatment processes. Finally, he calculates the Curie Isotherm and the Moho interface in the Tai Yuan Basin of province Shanxi by using this method. Both of the results conincide with the known geological and geophysical data.