越南莱洲地区地震活动性的分形和谱分析

IF 3.6 2区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Fractal and Fractional Pub Date : 2023-10-25 DOI:10.3390/fractalfract7110776
Luciano Telesca, Anh Tuan Thai, Dinh Trong Cao, Dinh Trieu Cao, Quoc Van Dinh, Xuan Bach Mai
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引用次数: 0

摘要

本文分析了2015 - 2021年越南莱洲水库地区仪器地震活动的时间动态。频率-震级分布的古腾堡-里希特分析表明,震级大于或等于0.6的地震事件的地震目录是完整的。将Allan因子的分形方法应用于地震发生次数序列,分形指数α≈0.55表明地震序列具有时间聚类特征,聚类程度较大。震间次的整体变异系数为1.9,证实了地震时间分布的时间聚类性。基于相关图的周期图是一种估计短序列功率谱的鲁棒方法,其应用揭示了水库平均水位月变化的三个主要周期,其显著性水平为p<0.01(10个月、1年和2年);地震次数的两个主要周期,其显著性水平为p<0.01(6个月和2年)。利用经验分解方法(EMD)将月地震计数分解为内禀模态函数(IMFs),确定了两个周期为10个月和2年的内禀模态函数在1%水平上显著,一个周期为1年的内禀模态函数在5%水平上显著。这两个国际波动指数所确定的旋回与水位所检测到的旋回是一致的,从严格的统计角度来看,在黎洲地区发生的地震过程可能是由水库的装卸操作旋回触发的。
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Fractal and Spectral Analysis of Seismicity in the Lai Chau Area (Vietnam)
The time dynamics of the instrumental seismicity recorded in the area of the Lai Chau reservoir (Vietnam) between 2015 and 2021 were analyzed in this study. The Gutenberg–Richter analysis of the frequency–magnitude distribution has revealed that the seismic catalog is complete for events with magnitudes larger or equal to 0.6. The fractal method of the Allan Factor applied to the series of the occurrence times suggests that the seismic series is characterized by time-clustering behavior with rather large degrees of clustering, as indicated by the value of the fractal exponent α≈0.55. The time-clustering of the time distribution of the earthquakes is also confirmed by a global coefficient of variation value of 1.9 for the interevent times. The application of the correlogram-based periodogram, which is a robust method used to estimate the power spectrum of short series, has revealed three main cycles with a significance level of p<0.01 (of 10 months, 1 year, and 2 years) in the monthly variation of the mean water level of the reservoir, and two main periodicities with a significance level of p<0.01 (at 6 months and 2 years) in the monthly number of earthquakes. By decomposing the monthly earthquake counts into intrinsic mode functions (IMFs) using the empirical decomposition method (EMD), we identified two IMFs characterized by cycles of 10 months and 2 years, significant at the 1% level, and one cycle of 1 year, significant at the 5% level. The cycles identified in these two IMFs are consistent with those detected in the water level, showing that, in a rigorously statistical manner, the seismic process occurring in the Lai Chau area might be triggered by the loading–unloading operational cycles of the reservoir.
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来源期刊
Fractal and Fractional
Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.60
自引率
18.50%
发文量
632
审稿时长
11 weeks
期刊介绍: Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.
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