深度积分算法可将滑坡沿地表滑动的三维模型化简为二维模型进行求解,通过减少控制方程未知量的个数以提升求解效率.物质点法(material point method,MPM)具有无网格法和有网格法的双重优势,模拟滑坡大变形问题时可避免网格畸变现象.采用深度积分耦合物质点法建立滑坡数值模型,给出算法实现具体流程,基于影响域改进的物质点法(influence domain material point method,IDMPM),针对两个典型无倾角底面光滑和有倾角底面不光滑滑坡算例进行基准测试.在计算精度方面,深度积分耦合物质点法模型能较好地预测远端距离、流速、深度等滑移特征参数;在计算效率方面,与常规物质点法求解格式相比,深度积分耦合物质点法模型可大幅度提高运行效率.该研究成果可为滑坡地质灾害破坏范围的分析预测、危害评估、应急抢险提供有效理论依据和时间保障.
Numerical analysis of landslides based on coupling model of material point method and depth integral
The depth integration algorithm simplifies the three-dimensional model of landslide sliding along the surface to a two-dimensional model,enhancing solving efficiency by diminishing the number of unknowns in the governing equation.Material point method(MPM)has the advantages of both grid based method and meshless method,and can avoid mesh distortion when simulating large landslide deformation.A numerical model for landslides has been developed using the depth-integral coupled material point method,with a detailed description of the algorithm's specific process provided.Utilizing the influence domain material point method(IDMPM),two benchmark tests were conducted on typical landslide scenarios:one with a non-inclined,smooth bottom,and the other with an inclined,non-smooth slope.The depth integral coupled material point method model demonstrates high accuracy in predicting key slip parameters,including remote distance,velocity,and depth.In contrast to the conventional material point method,the depth integral coupled material point method model significantly enhances operational efficiency.Furthermore,the research outcomes offer a robust theoretical foundation and timely support for analyzing and predicting the extent of damage in landslide geological disasters,conducting hazard assessments,and facilitating emergency response.
depth integralmaterial point methodlandslidelarge deformationdepth integral coupled material point method
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