利用莫洛佐夫差异原理对电位场数据的垂直导数进行正则处理

IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS
Saulo Pomponet Oliveira, Luan Thanh Pham, Roman Pašteka
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引用次数: 0

摘要

通过提霍诺夫正则化,可以稳定地计算势场方法的垂直导数,但这一过程需要适当选择正则化参数。为此,我们引入了一种基于莫罗佐夫差异原理的标准,使用平滑数据的垂直导数给出的初步近似值。平滑化可以通过物理或数学低通滤波器进行。计算滤波数据只是为了估算正则化参数;一旦找到参数,我们就会在频域内根据原始数据(而不是平滑数据)评估正则化垂直导数。我们通过对噪声干扰合成数据以及重力场和磁场数据的实验验证,正则化垂直导数的平滑度与滤波数据的平滑度大致相同,但真正的异常更容易从噪声中区分出来,异常的形状也得到了更好的保留。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Regularization of vertical derivatives of potential field data using Morozov's discrepancy principle

The calculation of the vertical derivatives of potential field methods can be carried out in a stable manner by Tikhonov regularization, but this procedure requires the appropriate selection of a regularization parameter. For this purpose, we introduce a criterion based on Morozov's discrepancy principle that uses a preliminary approximation given by the vertical derivative of the smoothed data. The smoothing may be performed by a physical or a mathematically based low-pass filter. The filtered data are computed only for estimating the regularization parameter; once it is found, we evaluate the regularized vertical derivative from the original data (not from the smoothed one) in the frequency domain. We verified from experiments with noise-corrupted synthetic data, as well as gravity and magnetic field data, that the regularized vertical derivative has about the same smoothness as the one obtained from filtered data, but true anomalies are more easily distinguished from noise and the shapes of the anomalies are better preserved.

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来源期刊
Geophysical Prospecting
Geophysical Prospecting 地学-地球化学与地球物理
CiteScore
4.90
自引率
11.50%
发文量
118
审稿时长
4.5 months
期刊介绍: Geophysical Prospecting publishes the best in primary research on the science of geophysics as it applies to the exploration, evaluation and extraction of earth resources. Drawing heavily on contributions from researchers in the oil and mineral exploration industries, the journal has a very practical slant. Although the journal provides a valuable forum for communication among workers in these fields, it is also ideally suited to researchers in academic geophysics.
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