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Article(id=1241768040409399320, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1241768035548205179, articleNumber=null, orderNo=null, doi=10.3969/j.issn.0253-6099.2024.01.005, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1692720000000, receivedDateStr=2023-08-23, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1773990171767, onlineDateStr=2026-03-20, pubDate=1706716800000, pubDateStr=2024-02-01, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1773990171767, onlineIssueDateStr=2026-03-20, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1773990171767, creator=13701087609, updateTime=1773990171767, updator=13701087609, issue=Issue{id=1241768035548205179, tenantId=1146029695717560320, journalId=1235980550691926019, year='2024', volume='44', issue='1', pageStart='1', pageEnd='178', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1773990170609, creator=13701087609, updateTime=1773993209826, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1241780783011140021, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1241768035548205179, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1241780783015334326, tenantId=1146029695717560320, journalId=1235980550691926019, issueId=1241768035548205179, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=21, endPage=24, ext={EN=ArticleExt(id=1241768040946270246, articleId=1241768040409399320, tenantId=1146029695717560320, journalId=1235980550691926019, language=EN, title=Dynamic Response of Slope with Fault Under Blast Vibration, columnId=1236276106018484431, journalTitle=Mining and Metallurgical Engineering, columnName=MINING, runingTitle=null, highlight=null, articleAbstract=

The stability of slope with fault under the impact of blast-induced seismic wave was analyzed by using simulation to study the dynamic response of slope with different fault thickness under the impact of explosive vibration. The results show that there exists elevation amplification effect when blast-induced seismic wave propagates along slope surface and fault area. The thicker the fault, the faster the attenuation of blast-induced seismic wave. As the fault becomes thicker, the displacement of slope under the action of blast-induced vibration gradually increases, and the overall deformation resistance becomes smaller. Under the action of blast vibration, the fault with different thickness obviously brings different influence to slope stability. With the fault thickness of 2-8 m, the slope stability decreases continuously and rapidly, and tends to be stable as the fault thickness exceeds 8 m.

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依据施加爆破地震波后含断层边坡稳定性模拟计算结果，研究了爆破振动作用下不同断层厚度边坡的动力响应变化规律。结果表明，爆破地震波在边坡坡表及断层区域传播时存在高程放大效应；断层厚度越大，爆破地震波衰减越快；随着断层厚度增加，边坡在爆破振动作用下产生的位移逐渐增大，整体抵抗变形能力变小；爆破振动作用下不同断层厚度对边坡稳定性影响差异明显，断层厚度2～8 m时边坡稳定性呈持续快速降低趋势，断层厚度超过8 m后边坡稳定性趋于平稳。

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夏祥生（1983—），男，云南昭通人，工程师，主要从事矿山管理工作。E-mail：
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李屹（1976—），男，重庆巴南人，高级工程师，主要从事矿山采矿设计及工程爆破研究。E-mail：

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李屹（1976—），男，重庆巴南人，高级工程师，主要从事矿山采矿设计及工程爆破研究。E-mail：

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李屹（1976—），男，重庆巴南人，高级工程师，主要从事矿山采矿设计及工程爆破研究。E-mail：

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岩层类别剪切模量/GPa体积模量/GPa抗拉强度/MPa凝聚力/MPa内摩擦角/（°）密度/（kg·m-3）
伟晶辉长岩2.085.57.6813.6462 300
F5断层122.410.2728.31 700
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边坡岩体力学参数

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岩层类别剪切模量/GPa体积模量/GPa抗拉强度/MPa凝聚力/MPa内摩擦角/（°）密度/（kg·m-3）
伟晶辉长岩2.085.57.6813.6462 300
F5断层122.410.2728.31 700
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断层厚度/m安全系数
22.53
42.07
61.68
81.43
101.35
121.32
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不同断层厚度下边坡安全系数

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断层厚度/m安全系数
22.53
42.07
61.68
81.43
101.35
121.32
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爆破振动作用下含断层边坡动力响应分析
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李屹 1 , 夏祥生 2 , 徐继业 1 , 张良兵 1 , 黄永辉 3 , 李源源 4, 5 , 张智宇 4, 5
矿冶工程杂志 | 采矿 2024,44(1): 21-24
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矿冶工程杂志 | 采矿 2024, 44(1): 21-24
爆破振动作用下含断层边坡动力响应分析
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李屹1 , 夏祥生2 , 徐继业1, 张良兵1, 黄永辉3, 李源源4, 5, 张智宇4, 5
作者信息
  • 1.攀钢集团矿业有限公司设计研究院，四川　攀枝花　617000
  • 2.攀钢集团攀枝花新白马矿业有限责任公司，四川　攀枝花　617000
  • 3.昆明理工大学　电力工程学院，云南　昆明　650093
  • 4.昆明理工大学　国土资源工程学院，云南　昆明　650093
  • 5.云南省中-德蓝色矿山与特殊地下空间开发利用重点实验室，云南　昆明　650093

    • 李屹（1976—），男，重庆巴南人，高级工程师，主要从事矿山采矿设计及工程爆破研究。E-mail：

通讯作者:

夏祥生（1983—），男，云南昭通人，工程师，主要从事矿山管理工作。E-mail：
Dynamic Response of Slope with Fault Under Blast Vibration
Yi LI1 , Xiangsheng XIA2 , Jiye XU1, Liangbing ZHANG1, Yonghui HUANG3, Yuanyuan LI4, 5, Zhiyu ZHANG4, 5
Affiliations
  • 1.Design and Research Institute of Mining Co Ltd, Panzhihua Iron and Steel Group, Panzhihua 617000, Sichuan, China
  • 2.Panzhihua New Baima Mining Co Ltd, Panzhihua 617000, Sichuan, China
  • 3.Faculty of Electric Power Engineering, Kunming University of Science and Technology, Kunming 650093, Yunnan, China
  • 4.Faculty of Land Resources Engineering, Kunming University of Science and Technology, Kunming 650093, Yunnan, China
  • 5.Yunnan Key Laboratory of Sino-German Blue Mining and Utilization of Special Underground Space, Kunming 650093, Yunnan, China
出版时间: 2024-02-01 doi: 10.3969/j.issn.0253-6099.2024.01.005
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依据施加爆破地震波后含断层边坡稳定性模拟计算结果，研究了爆破振动作用下不同断层厚度边坡的动力响应变化规律。结果表明，爆破地震波在边坡坡表及断层区域传播时存在高程放大效应；断层厚度越大，爆破地震波衰减越快；随着断层厚度增加，边坡在爆破振动作用下产生的位移逐渐增大，整体抵抗变形能力变小；爆破振动作用下不同断层厚度对边坡稳定性影响差异明显，断层厚度2～8 m时边坡稳定性呈持续快速降低趋势，断层厚度超过8 m后边坡稳定性趋于平稳。

爆破地震波  /  动力响应  /  边坡  /  断层厚度  /  边坡稳定性  /  爆破振动

The stability of slope with fault under the impact of blast-induced seismic wave was analyzed by using simulation to study the dynamic response of slope with different fault thickness under the impact of explosive vibration. The results show that there exists elevation amplification effect when blast-induced seismic wave propagates along slope surface and fault area. The thicker the fault, the faster the attenuation of blast-induced seismic wave. As the fault becomes thicker, the displacement of slope under the action of blast-induced vibration gradually increases, and the overall deformation resistance becomes smaller. Under the action of blast vibration, the fault with different thickness obviously brings different influence to slope stability. With the fault thickness of 2-8 m, the slope stability decreases continuously and rapidly, and tends to be stable as the fault thickness exceeds 8 m.

blast-induced seismic wave  /  dynamic response  /  slope  /  fault thickness  /  slope stability  /  blast vibration
李屹, 夏祥生, 徐继业, 张良兵, 黄永辉, 李源源, 张智宇. 爆破振动作用下含断层边坡动力响应分析. 矿冶工程杂志, 2024 , 44 (1) : 21 -24 . DOI: 10.3969/j.issn.0253-6099.2024.01.005
Yi LI, Xiangsheng XIA, Jiye XU, Liangbing ZHANG, Yonghui HUANG, Yuanyuan LI, Zhiyu ZHANG. Dynamic Response of Slope with Fault Under Blast Vibration[J]. Mining and Metallurgical Engineering, 2024 , 44 (1) : 21 -24 . DOI: 10.3969/j.issn.0253-6099.2024.01.005
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露天开采时爆破地震波作用下边坡岩体的稳定性是矿山安全生产需要重点关注的问题[1]。断层作为一种地质构造现象，在自然沉积的岩层中普遍存在。含不同类型结构面的边坡比普通边坡更普遍，且发生失稳事故更频繁[2]。采场爆破对含地质构造的边坡稳定性影响不容忽视。虽然近年来学者们在边坡爆破振动和断层软弱层对边坡稳定性影响方面进行了大量研究[3-8]，但对不同工况边坡在爆破振动作用下的动态响应方面的研究较少[9]。本文基于攀枝花白马铁矿及及坪采场含断层地质构造的边坡开展研究，采用数值模拟方法，建立边坡数值分析模型，模拟不同断层厚度工况下高陡边坡爆破振动响应，分析含不同厚度断层的高陡边坡在爆破地震波作用下的动力响应。
1　工程背景
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四川攀枝花白马铁矿及及坪采场断层发育，断层由北向南呈现出间距大致相等的斜梯状。以F5断层为例，断层径向长400～5 000 m，倾角40°～85°，断层厚度1～40 m。该区域断层呈现径向发展特征，含矿岩体被分为呈台阶状的多个部分，极大破坏了白马岩体和含矿地层的完整连续性。该矿区断层厚度在不同区域差异较大，高陡边坡因存在F5断层而受采区爆破影响较为严重，故对不同断层厚度工况下边坡的爆破动力响应分析尤为重要。边坡现状如图1所示。
2　边坡动力响应分析
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2.1　模型建立
为了研究不同断层厚度工况边坡在爆破振动作用下的响应规律，通过FLAC3D对白马铁矿及及坪北采场东帮边坡开展爆破振动作用下边坡动力响应研究。首先根据矿山地质报告绘制出边坡剖面图（见图2），数值模拟计算时选取具有代表性的北采场东帮边坡2035平台，确定边坡模型尺寸为水平长度沿x轴65 m，垂直高度沿z轴35 m，基岩为伟晶辉长岩。采用FLAC3D建模辅助软件Rhino7.0建立边坡模型，共划分单元体15 673个，在模型中对不同岩层进行组别划分，其中组1为F5断层、组2为基岩（伟晶辉长岩）。
2.2　岩体力学参数
采用软件内置的摩尔-库伦本构模型[10]进行数值模拟，其中岩体剪切模量、体积模量、抗拉强度等参数引自该矿山采场的地质报告，具体岩体力学参数见表1。
2.3　输入波形及边界条件设置
确定爆破振动荷载是研究爆破振动荷载下边坡动力响应的一大难题。以往的数值模拟研究一般选用等效三角形荷载[11]，然而简化的等效三角形荷载在数值模拟加载时与实际工况存在较大误差。为避免此误差，在数值模拟动力计算时，输入的波形为现场实测的代表性水平径向振动波。然而现场实测的爆破振动波频率较大，严重影响动力计算时长和精度，为此，在动力计算之前对爆破振动波进行了滤波和基线矫正处理[12-13]，输入的爆破振动加速度时程曲线见图3。
为了更好地通过FLAC3D模拟现场效果，将南、北、东、西4个侧面均设置为自由场边界条件来减少边界爆破地震波传播过程中发生反射[13]。
2.4　监测点设置
为了进一步研究含不同厚度断层边坡在爆破振动作用下的动力响应规律，数值模拟时在模型坡面、断层区域内、边坡内分别布置A、R、P共3列监测点，监测点具体设置情况如图4所示。为了便于辨别不同区域响应，把断层上部区域统称为上覆层，断层区域统称为断层，断层以下区域统称为下覆层。
2.5　不同断层厚度对边坡爆破振动响应分析
2.5.1　加速度放大系数
为了更直观地表示爆破地震波作用下边坡各监测点的响应规律，将边坡任一监测点的加速度响应峰值与输入点加速度峰值之比定义为加速度放大系数（PGA），根据现场实测的爆破振动数据，将其加载在边坡模型监测点上，研究爆破振动作用下断层厚度对加速度放大系数的影响，结果见图5。从图5可见，边坡断层厚度较薄时，伴随着高程持续增大，PGA持续增加，边坡坡顶部位PGA达到最大值，存在显著的高程放大效应；随着断层厚度增加，上覆层沿坡表方向及沿断层方向的PGA均增加，下覆层各监测点PGA减小，边坡在坡表的加速度峰值位置从坡顶转移至坡肩，呈现出明显的地形效应。从下覆层各监测点PGA可以得出，断层对边坡的动力响应影响主要表现为断层对振动波的阻隔作用，断层厚度越大，阻隔效果越明显。
综上分析可得，含厚断层的边坡比薄断层边坡对爆破地震波加速度放大效应更明显，断层厚度对加速度放大效应有显著影响，断层厚度越厚，放大效应越明显，断层对爆破地震波的反射与折射放大了边坡的动力响应。
2.5.2　位移及剪切应变增量响应
断层厚度2～12 m时，爆破地震波加载后边坡位移响应云图见图6。从图6可以看出，随着断层厚度增加，岩体位移变化区域有扩大的趋势，边坡在爆破地震波作用下变形程度不断增加，且最大水平位移发生在软弱层与边坡上覆层之间的区域，说明断层的存在对该区域的影响十分明显，实际爆破生产中需要重点监测该区域。
为了更加清晰地描述爆破振动作用下含断层岩质边坡断层厚度与位移响应峰值及剪切应变增量峰值的关系，绘制了不同工况下边坡最大水平位移变化及剪切应变增量，结果见图7。由图7可以看出，施加爆破荷载后含不同厚度断层边坡最大位移从0.000 157 m增加到0.001 92 m，最大剪切应变增量值从0.000 096 m增加到0.001 4 m；相同条件下，边坡位移值及剪切应变增量值随着夹层厚度增加而增大。随着断层厚度增大，上覆层位移大于下覆层位移，上覆层位移不断增大，层间错动程度越发剧烈。这是爆破地震波传播至断层时受阻，地震波能量在此释放导致上覆层产生滑移。
分别对最大位移y1、最大剪切应变增量y2与断层厚度x进行拟合，具体拟合关系式为：
从拟合结果来看，边坡最大位移值、最大剪切应变增量值与夹层厚度具有相关性。
3　边坡稳定性分析
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拟静力法能直接计算出边坡坡体的稳定系数，是目前评价边坡动力稳定性的常用方法。通过拟静力法计算边坡动力稳定性变化情况，结果见表2。
由表2可以看出，在爆破振动作用下，断层厚度2～8 m范围内，边坡安全系数变化比较明显，断层厚度8～12 m时边坡安全系数变化趋缓。说明断层厚度增加，边坡稳定性系数降低，断层厚度越大，边坡整体稳定性越低；断层厚度达到一定数值时，随着边坡厚度增加，边坡整体稳定性逐渐趋于定值。总的来说，在薄断层工况下，边坡稳定性受断层厚度影响较大；在厚断层工况下，断层厚度变化对边坡整体稳定性影响不大。
4　结论
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1）在爆破地震波作用下不同断层厚度边坡均呈现明显的边坡高程放大效应。断层厚度对边坡上覆层和断层区域质点的高程放大效应有明显影响，即断层厚度越大，边坡高程放大效应越明显。
2）含厚断层边坡同一下覆层点位的监测点加速度放大系数均小于薄断层，即断层厚度的增加加速了爆破地震波传播过程中的衰减速度；在爆破振动作用下，上覆层区域和断层连接处是含断层边坡岩体的主要破坏区域；随着断层厚度增加，边坡在爆破地震波作用后产生的永久位移逐渐增大，边坡岩体产生剪切应变的区域逐渐变大。
3）爆破振动作用下不同厚度断层对边坡动力稳定性影响存在明显差异。断层厚度2～8 m时，随着断层厚度增加，边坡稳定性持续快速降低；断层厚度超过8 m后，继续增加断层厚度，边坡安全系数变化逐渐趋于平稳。
基金
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  • 国家自然科学基金(52064025)
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doi: 10.3969/j.issn.0253-6099.2024.01.005
  • 接收时间：2023-08-23
  • 首发时间：2026-03-20
  • 出版时间：2024-02-01
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  • 收稿日期：2023-08-23
基金
国家自然科学基金(52064025)
作者信息
    1.攀钢集团矿业有限公司设计研究院，四川　攀枝花　617000
    2.攀钢集团攀枝花新白马矿业有限责任公司，四川　攀枝花　617000
    3.昆明理工大学　电力工程学院，云南　昆明　650093
    4.昆明理工大学　国土资源工程学院，云南　昆明　650093
    5.云南省中-德蓝色矿山与特殊地下空间开发利用重点实验室，云南　昆明　650093

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夏祥生（1983—），男，云南昭通人，工程师，主要从事矿山管理工作。E-mail：
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