Downward continuation is known as one of the crucial steps in interpreting gravity or magnetic data. As the continuation depth and the influence of noise increases, the results of downward continuation become unstable. Based on the computation of the Chebyshev-Padé approximation function obtained by the Tikhonov regularization, this paper proposes a new regularized method intended for the downward continuation of potential fields. The Chebyshev-Padé approximation function is applied to calculate the continuation factor. In this study, the cross-correlation method is adopted to calculate the cut-off wavenumber, while the regularized low-pass filter is designed to calculate the downward continuation of the potential field. In order to validate this method, numerical simulation is conducted. We calculate the root mean square error of the theoretical data on the target plane and the data of downward continuation, as obtained using the improved regularization operator method, the Chebyshev-Padé approximation function method, the regularized Chebyshev-Padé approximation function method, and the method proposed in this paper, based on which a comparison is conducted. According to the simulation and experimental results, the effects of the continuation depth can be reduced significantly by the proposed method. Besides, the method demonstrates strong resistance to noise.

向下连续是众所周知的解释重力或磁数据的关键步骤之一。随着延续深度和噪声影响的增加，向下延续的结果变得不稳定。基于通过Tikhonov正则化获得的Chebyshev-Padé逼近函数的计算，本文提出了一种新的正则化方法，用于势场的向下延续。使用Chebyshev-Padé逼近函数来计算连续因子。在这项研究中，采用互相关方法来计算截止波数，而设计正则化低通滤波器来计算势场的向下连续性。为了验证该方法，进行了数值模拟。我们使用改进的正则化算子方法，Chebyshev-Padé逼近函数方法，正则化Chebyshev-Padé逼近函数方法以及改进的正则化算子方法获得的目标平面上理论数据和向下连续数据的均方根误差本文提出的方法，在此基础上进行比较。根据仿真和实验结果，所提出的方法可以显着降低连续深度的影响。此外，该方法显示出强的抗噪声性。以及本文提出的方法，在此基础上进行比较。根据仿真和实验结果，所提出的方法可以显着降低连续深度的影响。此外，该方法显示出强的抗噪声性。以及本文提出的方法，在此基础上进行比较。根据仿真和实验结果，所提出的方法可以显着降低延续深度的影响。此外，该方法显示出强的抗噪声性。