臺灣地區分簇主震及其最大餘震之統計分析

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/95304

Title:	臺灣地區分簇主震及其最大餘震之統計分析
Authors:	劉怡禎;Liu, Yi-Jhen
Contributors:	統計研究所
Keywords:	指數分配;伽瑪分配;韋伯分配;聯合機率密度函數;相關性分析;關聯結構;Exponential distribution;Gamma distribution;Weibull distribution;Joint probability density function;Correlation analysis;Copula
Date:	2024-07-23
Issue Date:	2024-10-09 16:38:35 (UTC+8)
Publisher:	國立中央大學
Abstract:	強烈的地震經常給人類帶來重大的損失與災難，而在之後出現的大餘震可能進一步弱化已經受損的建築結構。為降低主震後的救災風險，即時評估餘震，特別是最大餘震的風險是一項至關重要的研究。本文的資料來源為臺灣中央氣象署的地震與地球物理資料管理系統之完整地震目錄(https://gdms.cwa.gov.tw/catalogDownload.php)。研究中的地震為發生在臺灣地區(東經118°至126°，北緯20°至26°)於1994年至2023年間，規模在3.0以上、震源深度在70公里以內的所有淺層地震。首先利用經驗公式進行分簇研究，選出規模超過5.0的主震，然後找出對應的最大規模餘震。本文探索主震規模的分配，以及主震間隔時間的分配。此外根據關聯結構建立最大餘震與其主震的規模差距、時間差距和距離差距的聯合分布。最後建立未來主震可能的規模及時間，以及當主震發生後，對應最大規模餘震的可能規模、時間及震央之預測方法，並且加以統計評估之。;Strong earthquakes usually bring up significant losses and disasters to humanbeing, and large aftershocks occurred shortly after the major earthquake may further weaken the damaged structures. To carry out a rescue safely, it is crucial to assess the real-time risk of large aftershocks. In this study, we obtain the earthquake catalog from the Taiwan Seismological and Geophysical Data Management System (GDMS，https://gdms.cwa.gov.tw/ \noindent catalogDownload.php). Of particular interest are earthquakes with magnitude of 3.0 or higher and hypocentral depth within 70 kilometers that occurred between 1994 and 2023 in the Taiwan region (from 118°E to 126°E, 20°N to 26°N). An empiried rule-based declustering method is applied to find main shocks with magnitude 5.0 or greater, and hence the associated largest aftershocks. The distribution of the magnitude of mainshocks, and that of the inter-occurrence time between successive main shocks are investigated. Moreover, the copula-based joint distribution of the differences in magnitude, time, and distance between the mainshock and the associated largest aftershock is studied. Finally, we conducted and evaluated different methods for forecasting the possible magnitude and time of the next mainshock, as well as after the current main shock, the possible magnitude, time, and epicenter of the largest aftershock.
Appears in Collections:	[Graduate Institute of Statistics] Electronic Thesis & Dissertation

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