The Research Of Downward Continuation Of Regularization Methods For Gravitational Field Based On The Depth Change

Downward continuation treatment can realize decomposition level anomalies, abnormal, qualitative estimate shallow depth of field source and shape, etc. Gravity field downward continuation of the problem is in part to the value of space, the space in the field outside. According toА.Н.Тихонов,В.Я..Арсенинdistinguished principle of Well-posed problem between Ill-posed problem.,this is a typical ill-posed problem. In the study of regularization ill-posed problems based on the general solution, focuses on regularization Fourier coefficient method of peace, combining An Yulin and Guan Zhining proposed a higher-frequency interference regularization stability factor,this article makes a modify, the original filtering factor low-pass filter to bandpass filter. In other words, it is not just to strengthen the information of low frequency, on the other hand there must be retained for high frequency information. In the process of calculating the regularization parameter alpha this article has introducied one-dimensional gold segmentation algorithm. This measures has improved regularization parameters for the operation efficiency. While this article has used regularization method to calculate beta to overcome the method is used before all by experience,just using the same measurement data of different parameters of the defect. Then this article deduced used to different depth under the scope of bandpass filters for target equation, realizing the downward continuation of regularization methods for gravitational field based on the depth change. Finally, through the model and actual data's calculation and analysis, this article has verified the correctness and practicability of this method.