Statistical and clustering analysis of microseismicity from a Saskatchewan potash mine

IF 1.3 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Frontiers in Applied Mathematics and Statistics Pub Date : 2023-03-30 DOI:10.3389/fams.2023.1126952
M. Sedghizadeh, M. Van den Berghe, R. Shcherbakov
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Abstract

Microseismicity is expected in potash mining due to the associated rock-mass response. This phenomenon is known, but not fully understood. To assess the safety and efficiency of mining operations, producers must quantitatively discern between normal and abnormal seismic activity. In this work, statistical aspects and clustering of microseismicity from a Saskatchewan, Canada, potash mine are analyzed and quantified. Specifically, the frequency-magnitude statistics display a rich behavior that deviates from the standard Gutenberg-Richter scaling for small magnitudes. To model the magnitude distribution, we consider two additional models, i.e., the tapered Pareto distribution and a mixture of the tapered Pareto and Pareto distributions to fit the bi-modal catalog data. To study the clustering aspects of the observed microseismicity, the nearest-neighbor distance (NND) method is applied. This allowed the identification of potential cluster characteristics in time, space, and magnitude domains. The implemented modeling approaches and obtained results will be used to further advance strategies and protocols for the safe and efficient operation of potash mines.
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萨斯喀彻温省钾矿微震活动的统计与聚类分析
由于相关的岩体响应,预计钾肥开采中会出现微地震。这种现象是已知的,但尚未完全了解。为了评估采矿作业的安全性和效率,生产商必须定量区分正常和异常地震活动。在这项工作中,对加拿大萨斯喀彻温省钾盐矿微震的统计方面和聚类进行了分析和量化。具体而言,频率-震级统计数据显示了丰富的行为,偏离了小震级的标准古腾堡-里希特标度。为了对幅度分布进行建模,我们考虑了两个额外的模型,即锥形Pareto分布和锥形Pareto和Pareto分布的混合,以拟合双模目录数据。为了研究观测到的微震的聚类方面,应用了最近邻距离(NND)方法。这允许在时间、空间和幅度域中识别潜在的集群特征。所实施的建模方法和获得的结果将用于进一步推进钾盐矿安全高效运营的战略和协议。
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来源期刊
Frontiers in Applied Mathematics and Statistics
Frontiers in Applied Mathematics and Statistics Mathematics-Statistics and Probability
CiteScore
1.90
自引率
7.10%
发文量
117
审稿时长
14 weeks
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