LIU Zhong-xian, SUN Wen-zhe, HUANG Zhen-en, et al. Dynamic response simulation of near-fault slopes based on the coupled IBEM–DEM approach[J]. 2025, 46(12): 3944-3957+3972.
DOI:
LIU Zhong-xian, SUN Wen-zhe, HUANG Zhen-en, et al. Dynamic response simulation of near-fault slopes based on the coupled IBEM–DEM approach[J]. 2025, 46(12): 3944-3957+3972.DOI: 10.16285/j.rsm.2025.0875.
Dynamic response simulation of near-fault slopes based on the coupled IBEM–DEM approach
为揭示近断层地震动作用下岩质边坡的动态响应规律与灾变机制,提出了一种间接边界元法(indirect boundary element method,简称IBEM)与离散元法(discrete element method,简称DEM)耦合的时域分析体系,建立了考虑岩土体非连续变形特征的近断层−边坡系统非线性动力响应模拟方法。首先基于IBEM构建半无限域千米级近断层地震波场高精度数值模型;其次,结合格林函数理论与IBEM求解波场,推导DEM计算域边界等效地震荷载的显式表达,进而实现IBEM-DEM耦合系统的跨尺度能量传递;最终通过DEM求解米级岩质边坡的非线性动力响应,实现了从千米级断层到米级边坡的多尺度非线性地震动模拟方法体系。数值模拟与动态监测结果表明:IBEM-DEM耦合算法可精准表征近场地震波传播的频散特性与能量衰减规律;近断层地震荷载作用下,软弱夹层首先发生渐进式剪切破坏,其强度劣化导致贯通性破裂面的形成,并引致滑体沿剪切面加速失稳,产生显著位移与速度响应,最终在坡脚形成典型碎屑堆积体;滑体表层速度显著高于底层,表层平均速度达到底层平均速度的3.6倍,其中滑体表层X向和Z向的速度分量峰值分别达到4.98 m/s和5.92 m/s,呈现出明显的趋表效应;滑体监测点从初始坡面位置到最终堆积体位置的X向和Z向最大位移分别可达41 m和35 m,时程表现出典型阶跃式增长特征,反映出滑体在动能与势能交替转换中的突跃式滑移行为。IBEM-DEM耦合方法构建了从岩体破裂到滑坡成灾的全过程演化序列,为近断层地震动诱发滑坡的动力灾变分析提供了创新性分析方法体系,并为复杂地质条件下滑坡机制的识别及地震灾害的防控提供了理论依据与技术支持。
Abstract
We develop a time-domain analysis framework that couples the indirect boundary element method (IBEM) with the discrete element method (DEM) to investigate the dynamic response patterns and failure mechanisms of rock slopes subjected to near-fault ground motions. This framework enables a nonlinear dynamic simulation approach for near-fault slope systems
capturing the discontinuous deformation characteristics of rock and soil masses. Firstly
we construct a high-precision numerical model of the kilometer-scale
semi-infinite near-fault seismic wavefield using IBEM. Subsequently
based on Green’s function theory and the IBEM solution of the wavefield
we derive an explicit formulation of the equivalent seismic loads on the boundaries of the DEM computational domain. This enables cross-scale energy transfer within the IBEM-DEM coupled system. Finally
the DEM resolves the nonlinear dynamic response of meter-scale rock slopes
yielding a multi-scale nonlinear seismic simulation framework that spans from kilometer-scale faults to meter-scale slopes. Numerical simulations combined with dynamic monitoring results demonstrate that the IBEM-DEM coupling algorithm can accurately capture the dispersion characteristics and energy attenuation patterns of near-field seismic wave propagation. Under near-fault seismic loading
progressive shear failure first occurs within weak interlayers
leading to strength degradation
the formation of through-going rupture surfaces
and subsequent accelerated instability of the sliding mass along the shear plane. This process induces significant displacement and velocity responses
ultimately forming a typical debris accumulation at the slope toe. The surface velocity of the sliding mass is markedly greater than that at the base
with the mean surface velocity reaching 3.6 times that of the base
and peak X- and Z-direction velocity components of 4.98 m/s and 5.92 m/s
respectively
exhibiting a pronounced surface-acceleration effect. The monitoring points of the sliding mass exhibit maximum displacements of up to 41 m in the X-direction and 35 m in the Z-direction from the initial slope surface to the final accumulation position
with the displacement-time history showing a distinct step-like growth pattern
indicative of abrupt sliding behavior during the alternating transformation of kinetic and potential energy. The IBEM-DEM coupled method developed in this study reconstructs the full evolutionary sequence from rock mass rupture to landslide formation
providing an innovative analytical framework for the dynamic failure analysis of landslides induced by near-fault ground motions
as well as theoretical and technical support for identifying landslide mechanisms and mitigating seismic hazards in complex geological settings.