通过数据量扩展提高岩石声发射 b 值估算稳健性的新方法

IF 1.8 4区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS
Daolong Chen, Xiling Liu
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引用次数: 0

摘要

古腾堡-里克特(G-R)关系中的斜率 b 是描述从小规模声发射(AE)到大规模天然地震的大小分布特征的重要参数。通过 b 值的时空变化分析岩石破坏和地震灾害时,稳定而准确的 b 值估算至关重要。在此,我们详细分析了数据量对 b 值估计的影响,并在最大似然推导的基础上提出了一种新的数据量扩展方法,以获得准确的 b 值估计。然后,通过合成 AE 数据验证了新方法的有效性,发现数据量扩展后 b 值估计的标准误差或频率-振幅分布的对数线性特征更小,理论 b 值与估计 b 值之间的所有差异均远小于 0.1。同时,我们还在专门设计的实验室岩石 AE 试验中采用了新提出的 b 值估算方法,并通过各种岩石内部结构特征与其破裂源尺寸分布之间的关系讨论了该方法的适用性。结果表明,数据量扩展后估算出的 b 值能更好地表征变形下岩石样本的潜在震源尺寸分布。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Novel Method for Improving the Robustness of Rock Acoustic Emission b Value Estimation through Data Volume Expansion
The slope b in Gutenberg–Richter (G–R) relationship is an essential parameter to describe the size distribution characteristics from small-scale acoustic emission (AE) to large-scale natural earthquake. Stable and accurate b value estimation is vital when analyzing rock damage and seismic hazards through the spatial and temporal variations of b values. Here, we perform a detailed analysis of the effect of data volume on b value estimation and proposed a new data volume expansion method to obtain accurate b value estimation based on maximum likelihood derivation. Then, the effectiveness of the newly proposed method is verified through synthetic AE data and found that the standard errors of b value estimation or log-linear characteristics of frequency–amplitude distributions after data volume expansion are smaller, and all differences between the theoretical and estimated b values are far less than 0.1. Meanwhile, we also adopt the newly proposed method for b value estimation in a specially designed laboratory rock AE test and discussed the applicability of the method through the relationship between internal structural characteristics of various rocks and their rupture source size distribution. The results indicate that the estimated b value after data volume expansion can better characterize the underlying source size distribution of rock samples under deformation.
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来源期刊
Lithosphere
Lithosphere GEOCHEMISTRY & GEOPHYSICS-GEOLOGY
CiteScore
3.80
自引率
16.70%
发文量
284
审稿时长
>12 weeks
期刊介绍: The open access journal will have an expanded scope covering research in all areas of earth, planetary, and environmental sciences, providing a unique publishing choice for authors in the geoscience community.
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