Research on the adaptive regularization filtering method of reduction-to-the-pole
Reduction-to-the-pole(RTP)is a significant step in eliminating the effects of oblique magnetization on magnetic anomaly.This process can be conducted in both the wave-number(frequency domain)and the spatial domains.The RTP in the wave-number domain(frequency domain)is more efficient than in the spatial domain,but it can be unstable in low latitude areas.Thus,it is necessary to define the scope of the low latitude areas and develop stable,practical,and high-precision RTP methods.In this paper,the theoretical study shows that the maximum value of the amplitude is 2,and the corresponding magnetization inclination is±45°.Within this range of magnetization inclination,causing the instability in RTP procedure.To address this issue,an adaptive regularization filtering method of reduction-to-the-pole(ARF-RTP)is proposed based on the regularization idea.The method constructs a regularization filtering function using the amplitude of RTP factor,and with the amplitude value of 2 as the constraint,the determination value of the parameter in the method is calculated to realize the adaptive RTP of magnetic anomaly,which improves the stability and practicability of the method.Additionally,an iterative algorithm is used to improve the accuracy of the method.The proposed ARF-RTP method effectively solves the instability problem of the RTP in the low latitude areas.The accuracy,stability,and practicality of the method are verified using synthetic models and real data.The adaptive regularization filtering can not only solve the instability problem of RTP but also address instability problems in data processing,such as component transformation or magnetization direction transformation of magnetic field.The ARF-RTP method has broad application prospects.
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