位场向下延拓的有限高通算子迭代法

Limited high-pass operator iteration method for potential-field downward continuation

为了提高位场向下延拓的稳定性与计算精度,提出有限高通算子迭代法。分析该方法的收敛性,给出了确定最佳迭代次数的差值互相关系数法。模型实验表明,该方法具有较高的计算精度与稳定性,差值互相关系数法可为最佳迭代次数的选取提供依据。实际应用中,有限高通算子迭代方法可有效突出隐伏矿体的异常特征,具有较好的应用效果。该研究不同于前人研究,文中设计的向下延拓近似算子具备有限的高通特性,借助波数域迭代模式补偿被压制的低频等有用信息,可为向下延拓迭代法提供新的研究思路。

This paper proposes a limited high-pass operator iteration method designed to improve the stability and accuracy of downward continuation of potential field,presents an analysis of the convergence characteristics of this method,and describes the difference correlation method for determining the optimal number of iterations.The model tests show that the method exhibits a higher computational accuracy and stability and the difference correlation method could provide the optimal number of iterations;and in practical applications,the method could effectively highlight the anomalies of concealed ore bodies,with a better application effect.The new downward continuation approximation operator with limited high-pass characteristics,which could compensate useful information such as suppressed low frequencies,using the wavenumber domain iteration mode,could provide a new avenue for the downward continuation iteration method.