As a kind of geomagnetic data processing, downward continuation of potential field plays an important role in geologic interpretation and geomagnetic localization. The inherent instability of larger distance downward continuation restricts its practical applications. In this paper, we report a kind of one-step compensation downward continuation method free of iteration using the equivalent wave number domain continuation operator, which will speed downward continuation compared to iterative compensation, and prove theoretically the convergence of the downward continuation filtering factor about one-step immune-iterative compensation. The frequency responses of the low-pass filter factor are also discussed by different damping factors, iterative numbers and continuation depths. The regularity analysis of one-step compensation method is also discussed. We use the theoretical model of magnetic bodies and real data to test experimentally the immune-iterative compensation algorithm based on the equivalent wave number domain continuation factor, respectively. The results all show high accuracy and good stability of the one-step compensation downward continuation algorithm. The performances of downward continuation including three kinds of algorithms are demonstrated by three parameters, and comparisons prove the reported algorithm has less calculated error than the generalized inverse method, and less elapsed time than the iterative compensation method.

中文翻译：

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波数域中无迭代的一步补偿向下连续方法

作为一种地磁数据处理，势场的向​​下延续在地质解释和地磁定位中起着重要作用。大距离向下连续的固有不稳定性限制了其实际应用。在本文中，我们报告了一种使用等效波数域连续算子的无迭代单步补偿向下连续方法，与迭代补偿相比，该方法将加快向下连续速度，并从理论上证明向下连续滤波因子收敛一步式免疫迭代补偿。还通过不同的阻尼系数，迭代次数和连续深度来讨论低通滤波器系数的频率响应。还讨论了一步补偿法的规律性分析。我们分别使用磁体理论模型和实际数据分别对基于等效波数域连续因子的免疫迭代补偿算法进行实验测试。结果均表明，单步补偿向下连续算法具有较高的精度和稳定性。通过三个参数证明了包括三种算法在内的向下连续性的性能，并进行了比较，证明所报告的算法与广义逆方法相比具有更少的计算误差，比迭代补偿方法具有更少的经过时间。我们分别使用磁性体和真实数据的理论模型分别对基于等效波数域连续因子的免疫迭代补偿算法进行实验测试。结果均表明，单步补偿向下连续算法具有较高的精度和稳定性。通过三个参数证明了包括三种算法在内的向下连续性的性能，并进行了比较，证明所报告的算法与广义逆方法相比具有更少的计算误差，比迭代补偿方法具有更少的经过时间。我们分别使用磁性体和真实数据的理论模型分别对基于等效波数域连续因子的免疫迭代补偿算法进行实验测试。结果均表明，单步补偿向下连续算法具有较高的精度和稳定性。通过三个参数说明了包括三种算法在内的向下连续性的性能，并进行了比较，证明了所报告的算法与广义逆方法相比具有更少的计算误差，比迭代补偿方法具有更少的经过时间。