利用 Gumbel 的极值理论方法估算津巴布韦地震重现期的概率

Atsu, J. U., Abong, A. A.
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摘要

本研究使用 Gumbel 的极值理论方法,研究了津巴布韦不同重现期发生最大地震的概率。国家地震高级系统(ANSS)、北加州地震数据中心网站和美国加州大学伯克利分校为本研究提供了数据。所选数据包括 1901 年 1 月 1 日至 2001 年 12 月 31 日(100 年)期间在研究区域内发生的 Mb ≥ 4.0 的自然地震,震源深度为 0 至 700 千米。研究区域的坐标介于 150S - 220S 和 250E - 340E 之间。调查共使用了 81 个事件。结果显示,在大约 1 至 14 年的时间间隔内,发生震级介于 4.5 和 5.5 之间的地震的几率为 100%,而在未来 100 年内,发生 Mb = 6.0 或更高震级地震的几率为 9.5%。对于 Mb = 6.0 级及以上的地震,重现期相对较长,大约为 50 - 701 年。这表明津巴布韦发生 6.0 级以上地震的可能性很小。尽管概率较低,但由于地震预测和预报仍然是一个复杂的课题,因此不可能做出肯定的预测。
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Estimation of the Probability of Earthquakes Return Period in Zimbabwe Using Gumbel’s Extreme Value Theory Method
Using Gumbel's extreme value theory method, this study looked into the probability of the largest earthquakes for different return periods in Zimbabwe. The Advanced National Seismic System (ANSS), the Northern California Earthquake Data Centre website, and UC Berkeley in the United States provided the data used for this study. The natural earthquakes with Mb ≥ 4.0 that occurred in the study area between January 1, 1901 and December 31, 2001 (a period of 100 years) with a focal depth ranging from 0 to 700 km made up the selected data. The study area is between 150S - 220S and 250E -340E in coordinates. A total of 81 events were used in the investigation. According to the results, there is a 100% chance that earthquakes with a magnitude between 4.5 and 5.5 will occur during the time interval of approximately 1 to 14 years and a 9.5% chance that within the next 100 years, there will be an earthquake with a magnitude of Mb = 6.0 or higher. For magnitudes Mb = 6.0 and above, the return period is relatively long - roughly 50 – 701 years. This suggests that there is little chance that Zimbabwe will experience earthquakes larger than magnitude 6.0. Despite being low, it is impossible to forecast with certainty because earthquake forecasting and prediction is still a complex topic.
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