正则化方法在无线电波层析中的应用

董一飞; 张致付

doi:10.15953/j.1004-4140.2016.25.03.05

正则化方法在无线电波层析中的应用

董一飞^1,2, ,,
张致付²

1. 国土资源部海底矿产资源重点实验室, 广州海洋地质调查局, 广州 510760;
2. 中国地质大学(北京), 北京 100083

基金项目:

海西(平潭-湄洲湾)海岸带综合地质调查(GZH201400211)

国家自然科学基金(40804024)

详细信息

通讯作者:
董一飞(1987—),男,中国地质大学(北京)硕士毕业,广州海洋地质调查局环境工程与地质工程研究所助理工程师,主要从事海洋物探、海洋地质、无线电波层析等方面的研究,E-mail:yfdong1987@163.com

中图分类号: O242;P631
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出版历程
- 收稿日期: 2016-01-29
- 网络出版日期: 2022-12-01
- 发布日期: 2016-06-24

Application of Regularization Method in Radio Wave Tomography

DONG Yi-fei^1,2, ,,
ZHANG Zhi-fu²

1. MLR Key Laboratory of Marine Mineral Resources, Guangzhou Marine Geological Survey, Guangzhou 510760, China;
2. China University of Geosciences (Beijing), Beijing 100083, China

摘要

摘要: 无线电波透视法是常用的工作面地质构造探测方法之一,目前普遍使用的SIRT方法层析分辨率不高。本文采用约束正则化方法,推导Tikhonov正则化和全变差正则化的最小化问题表达式,讨论影响层析结果的主要因素,对典型理论模型进行了层析成像实验。结果表明:正则化方法具有比SIRT方法更好的分辨率;射线条数越多、噪声水平越低,层析分辨率越高;Tikhonov正则化在正则参数增大时层析结果更光滑,减小时则更贴近异常,全变差正则化与其相反。最后对实际坑透数据进行层析,识别出的异常构造基本吻合已知疑似构造位置,从而说明正则化方法在无线电波透视应用中的可行性。
- 无线电波透视法 /
- 层析成像 /
- Tikhonov正则化 /
- 全变差正则化
Abstract: Radio-wave penetration method is one of the most popular methods for geological detection. Based on Simultaneous Algebraic Reconstruction Technique(SIRT) method, the attenuation coefficients of coal seam are reconstructed. But the inversion resolution for SIRT tomography method is reduced by the poor geometry and low SNR data acquired in mine tunnel. In our study, the Tikhonov and Total Variation(TV) regularization methods for minimization problem are derived to inverse the attenuation coefficients and the influence factors of inversion results are discussed to account for effect on model solutions.Conclusionsare reached from inversion experiment for theoretical models and field data. Regularization methods have better inversion resolution than SIRT method. More fold and higher SNR are important factors to obtain high resolution result. For Tikhonov regularization method, increasing regularization parameter makes the inversion result smoother, while decreasing parameter causes the result closer to the geological anomalies. TV regularization method has opposite property. The inversion result for field data well conform to the known geological anomalies, which shows the feasibility and reliability of the two regularization methods for practical application.
- radio-wave penetration method /
- tomography /
- Tikhonov regularization method /
- total variation regularization method

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