首页|考虑非均匀断层位移和断层面位置不确定性的穿越走滑断裂带隧道力学响应半解析解

考虑非均匀断层位移和断层面位置不确定性的穿越走滑断裂带隧道力学响应半解析解

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隧道在走滑断层错动下表现出严重的结构性破坏。以往的跨断层隧道分析模型中通常假设断层位移是均匀的,断层面位置是固定的。然而,根据震后调查,断层位移表现出非均匀性,并且断层面的位置是不确定的。因此,本文首先建立了一系列的改进控制方程,用以分析走滑断层错动下的隧道力学响应。所提出的半解析解控制方程中考虑了非均匀断层位移和断层面位置不确定性等关键因素,显著的提高了计算模型的适用范围和计算精度。相较于以往的分析模型,计算误差最大从57。1%缩小至1。1%。随后,通过与3D有限元数值模型计算结果对比,验证了所提出的半解析解,两种方法的结果表现出高度的定性和定量一致性,误差最大仅为9。9%。最后,基于所提出的半解析解展开了参数分析,探讨了错动量、断裂带宽度、断裂带强度、上盘与下盘最大错动量比例和断层面位置等因素对于走滑断层错动下隧道响应的影响。研究发现隧道内力值随着错动量和断裂带强度的增加而增加,但断裂带宽度增加会降低峰值内力。比如,断层宽度为10 m时的峰值弯矩、剪力和轴力相较于50 m时,提高了约46。9%、102。4%和28。7%。此外,峰值内力的位置会受到上盘与下盘最大错动量比例和断层面位置的影响,但峰值剪力和轴力始终出现在断层面位置。当错动量全部由下盘承担,即上盘与下盘最大错动量比例为0:1时,隧道会出现最大的峰值内力。错动量比例为0:1时的峰值弯矩、剪力和轴力约为0。5:0。5时的123。8%、148。6%和111。1%。
Semi-analytical solution for mechanical analysis of tunnels crossing strike-slip fault zone considering nonuniform fault displacement and uncertain fault plane position
The tunnel subjected to strike-slip fault dislocation exhibits severe and catastrophic damage.The existing analysis models frequently assume uniform fault displacement and fixed fault plane position.In contrast,post-earthquake observations indicate that the displacement near the fault zone is typically nonuniform,and the fault plane position is uncertain.In this study,we first established a series of improved governing equations to analyze the mechanical response of tunnels under strike-slip fault dislocation.The proposed methodology incorporated key factors such as nonuniform fault displacement and uncertain fault plane position into the governing equations,thereby significantly enhancing the applicability range and accuracy of the model.In contrast to previous analytical models,the maximum computational error has decreased from 57.1%to 1.1%.Subsequently,we conducted a rigorous validation of the proposed methodology by undertaking a comparative analysis with a 3D finite element numerical model,and the results from both approaches exhibited a high degree of qualitative and quantitative agreement with a maximum error of 9.9%.Finally,the proposed methodology was utilized to perform a parametric analysis to explore the effects of various parameters,such as fault displacement,fault zone width,fault zone strength,the ratio of maximum fault displacement of the hanging wall to the footwall,and fault plane position,on the response of tunnels subjected to strike-slip fault dislocation.The findings indicate a progressive increase in the peak internal forces of the tunnel with the rise in fault displacement and fault zone strength.Conversely,an augmentation in fault zone width is found to contribute to a decrease in the peak internal forces.For example,for a fault zone width of 10 m,the peak values of bending moment,shear force,and axial force are approximately 46.9%,102.4%,and 28.7%higher,respectively,compared to those observed for a fault zone width of 50 m.Furthermore,the position of the peak internal forces is influenced by variations in the ratio of maximum fault displacement of the hanging wall to footwall and the fault plane location,while the peak values of shear force and axial force always align with the fault plane.The maximum peak internal forces are observed when the footwall exclusively bears the entirety of the fault displacement,corresponding to a ratio of 0:1.The peak values of bending moment,shear force,and axial force for the ratio of 0:1 amount to approximately 123.8%,148.6%,and 111.1%of those for the ratio of 0.5:0.5,respectively.

strike-slip faulttunnel engineeringsemi-analytical solutionfault zone widthnonuniform fault displacementuncertain fault plane position

杨恒洪、王明年、于丽、张霄

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School of Civil Engineering,Southwest Jiaotong University,Chengdu 610036,China

State Key Laboratory of Intelligent Geotechnics and Tunnelling,Southwest Jiaotong University,Chengdu 610036,China

走滑断层 隧道工程 半解析解 断裂带宽度 非均匀断层位移 断层面位置不确定性

National Natural Science Foundation of ChinaNational Natural Science Foundation of China

5237841152208404

2024

中南大学学报(英文版)
中南大学

中南大学学报(英文版)

CSTPCDEI
影响因子:0.47
ISSN:2095-2899
年,卷(期):2024.31(6)