基于灰色系统理论和稳健估计的人工源电磁数据处理（英文）

发布时间：2018-07-10 15:41

本文选题：人工源电磁法 + 灰色系统理论　；参考：《Applied Geophysics》2017年04期

【摘要】：针对强干扰导致人工源频率域电磁法测量结果出现偏倚的问题,研究将灰色系统理论和稳健M-估计综合用于数据处理的新方法。由于灰色系统理论对数据分布类型及数量依赖程度低,本文通过灰色建模求解测量数据的标准差,结合阈值法识别、剔除异常值。采用稳健M-估计估算测量结果,以压制异常值影响,提高处理结果的精度。最后将保留数据的M-估计值视为真实值。为验证所述方法处理效果,仿真生成含噪信号,剔除其有效频率频谱数据中的异常值,处理结果可高度逼近理论值,其最大相对误差为3.6676%,最小仅为0.0251%。然后对野外实测数据进行处理,并通过均方根误差、电位差频谱数据和视电阻率曲线形态对处理效果进行评价。研究结果表明:本文方法可以在保留可信数据的同时有效剔除异常值,均方根误差大幅下降,为人工源电磁法资料后续处理解释提供可靠的数据。
[Abstract]:In view of the bias of the measured results of frequency domain electromagnetic method in artificial source caused by strong interference, a new method for data processing based on grey system theory and robust M- estimation is studied. Because the grey system theory has a low degree of dependence on the distribution type and quantity of data, the standard deviation of measured data is solved by grey modeling, and the abnormal value is eliminated by combining with the threshold method. Robust M- estimation is used to estimate the measurement results in order to suppress the influence of outliers and improve the accuracy of the processing results. Finally, the M-estimate of reserved data is regarded as the true value. In order to verify the processing effect of the method, the noisy signal is generated by simulation, and the outliers in the effective frequency spectrum data are eliminated. The processing results can approach the theoretical value highly, the maximum relative error is 3.667676, and the minimum is only 0.0251. Then the field measured data are processed, and the processing effect is evaluated by root mean square error, potential difference spectrum data and apparent resistivity curve shape. The results show that the proposed method can effectively eliminate the outliers while preserving the trusted data, and the root mean square error (RMS) is greatly reduced, which provides reliable data for the subsequent interpretation of the artificial source electromagnetic data.
【作者单位】：中南大学地球科学与信息物理学院;中南大学有色金属成矿预测与地质环境监测教育部重点实验室;
【基金】：supported by the National Natural Science Foundation of China(No.41227803) the State High-Tech Development Plan of China(No.2014AA06A602) the Fundamental Research Funds for the Central Universities of Central South University(No.2017557)
【分类号】：P631.325

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