D0L:10.13374.issn1001-053x.2013.06.001 第35卷第6期 北京科技大学学报 Vol.35 No.6 2013年6月 Journal of University of Science and Technology Beijing Jun.2013 微地震震源地震波能量的计算方法 王进强1,2)凶，胡乃联12)，姜福兴1,2)，吕文生12)，曲效成12) 1)北京科技大学金属矿山高效开采与安全教育部重点实验室，北京1000832)北京科技大学土木与环境工程学院，北京100083 ☒通信作者，E-mail:wangjq0@ustb.edu.cn 摘要由工程爆破中普遍采用的质点峰值振动速度与炸药量和震源距关系的经验公式推导出质点峰值振动速度与震 源能量和震源距关系的经验公式，并作为微震地震波能量衰减公式.在公式中引入地震波能量特征系数K1描述震源能 量与震源峰值振动速度之间的比例关系，并认为K1主要与震源场地介质特征有关，而与犀破参数无关.通过校验炮数 据的回归分析获取监测区域能量特征系数K1·采用能量衰减模型，以微震事件各测点的峰值振动速度、震源距及K1为 己知量，以震源能量及衰减系数为回归参数进行回归计算，直接反演出震源能量.本文方法为震源能量计算提供了新的 思路和方法 关键词采矿：爆破：地震波：监测：衰减：回归分析 分类号TD324:P315.3 Calculation method for the seismic wave energy of microseismic hypocenters WANG Jin-giang12),HU Nai-lian 1.2),JIANG Fu-ring 12),LU Wen-sheng 1.2),QU Xiao-cheng12) 1)Key Laboratory of High-efficient Mining and Safety of Metal Mines(Ministry of Education),University of Science and Technology Beijing.Beijing 100083,China 2)School of Civil and Environmental Engineering,University of Science and Technology Beijing,Beijing 100083,China Corresponding author,E-mail:wangjq@ustb.edu.cn ABSTRACT An empirical formula to describe the relation of particle vibration velocity to explosive's quantity and distance from the explosion center is used in the blasting engineering field.Based on this formula,a new empirical equation to characterize the relation of particle vibration velocity to hypocenter energy and distance to the hypocenter is presented in this article,which is considered as the attenuation formula of seismic wave energy.In the new equation,the coefficient of seismic wave energy,K1,is introduced to describe the relationship between hypocenter energy and particle vibration velocity.It is thought that Ki has strong relationship with the locale medium characteristic of the hypocenter, nothing to do with the blasting parameters.According to the energy data of check points,Ki is calculated by regression analysis.By using the energy attenuation model,taking particle vibration velocity,distance to the hypocenter and Ki of each microseismic incident as the known parameters,hypocenter energy and attenuation coefficient as the regression parameters,the hypocenter energy can be obtained by inverse calculation.This method provides a new idea to calculate the hypocenter energy. KEY WORDS mining;blasting;seismic waves;monitoring;attenuation;regression analysis 微震监测技术以其实时、远程、动态和三维的弹性能大小的物理量是震源“时空强”三参数之一， 特点)，在刊矿山动力灾害监测预警工作中日益发挥准确计算震源能量是进行岩体破裂场分析及岩体动 重要作用2-到.震源能量作为描述岩体破裂所释放力灾害预警的基础，所以震源能量计算具有重要 收稿日期：2012-03-24 基金项目：国家重点基础研究发展计划资助项目(2010CB226803):国家自然科学基金资助项目(51104011：51274020)第 35 卷 第 6 期 北 京 科 技 大 学 学 报 Vol. 35 No. 6 2013 年 6 月 Journal of University of Science and Technology Beijing Jun. 2013 微地震震源地震波能量的计算方法 王进强1,2) ，胡乃联1,2)，姜福兴1,2)，吕文生1,2)，曲效成1,2) 1) 北京科技大学金属矿山高效开采与安全教育部重点实验室，北京 100083 2) 北京科技大学土木与环境工程学院，北京 100083 通信作者，E-mail: wangjq@ustb.edu.cn 摘 要 由工程爆破中普遍采用的质点峰值振动速度与炸药量和震源距关系的经验公式推导出质点峰值振动速度与震 源能量和震源距关系的经验公式，并作为微震地震波能量衰减公式. 在公式中引入地震波能量特征系数 K1 描述震源能 量与震源峰值振动速度之间的比例关系，并认为 K1 主要与震源场地介质特征有关，而与爆破参数无关. 通过校验炮数 据的回归分析获取监测区域能量特征系数 K1. 采用能量衰减模型，以微震事件各测点的峰值振动速度、震源距及 K1 为 已知量，以震源能量及衰减系数为回归参数进行回归计算，直接反演出震源能量. 本文方法为震源能量计算提供了新的 思路和方法. 关键词 采矿；爆破；地震波；监测；衰减；回归分析 分类号 TD324; P315.3 Calculation method for the seismic wave energy of microseismic hypocenters WANG Jin-qiang 1,2) , HU Nai-lian 1,2), JIANG Fu-xing 1,2), LU Wen-sheng ¨ 1,2), QU Xiao-cheng 1,2) 1) Key Laboratory of High-efficient Mining and Safety of Metal Mines (Ministry of Education), University of Science and Technology Beijing, Beijing 100083, China 2) School of Civil and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China Corresponding author, E-mail: wangjq@ustb.edu.cn ABSTRACT An empirical formula to describe the relation of particle vibration velocity to explosive’s quantity and distance from the explosion center is used in the blasting engineering field. Based on this formula, a new empirical equation to characterize the relation of particle vibration velocity to hypocenter energy and distance to the hypocenter is presented in this article, which is considered as the attenuation formula of seismic wave energy. In the new equation, the coefficient of seismic wave energy, K1, is introduced to describe the relationship between hypocenter energy and particle vibration velocity. It is thought that K1 has strong relationship with the locale medium characteristic of the hypocenter, nothing to do with the blasting parameters. According to the energy data of check points, K1 is calculated by regression analysis. By using the energy attenuation model, taking particle vibration velocity, distance to the hypocenter and K1 of each microseismic incident as the known parameters, hypocenter energy and attenuation coefficient as the regression parameters, the hypocenter energy can be obtained by inverse calculation. This method provides a new idea to calculate the hypocenter energy. KEY WORDS mining; blasting; seismic waves; monitoring; attenuation; regression analysis 微震监测技术以其实时、远程、动态和三维的 特点 [1]，在矿山动力灾害监测预警工作中日益发挥 重要作用 [2−3] . 震源能量作为描述岩体破裂所释放 弹性能大小的物理量是震源 “时空强” 三参数之一， 准确计算震源能量是进行岩体破裂场分析及岩体动 力灾害预警的基础，所以震源能量计算具有重要 收稿日期：2012–03–24 基金项目：国家重点基础研究发展计划资助项目 (2010CB226803)；国家自然科学基金资助项目 (51104011; 51274020) DOI:10.13374/j.issn1001-053x.2013.06.001