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王学滨, 杜 轩, 薛承宇, 陈双印, 廖裴彬, 余保健.三维连续-非连续并行计算方法及其在岩爆过程模拟中的应用水资源与水工程学报[J].,2024,35(1):177-185
三维连续-非连续并行计算方法及其在岩爆过程模拟中的应用
Three-dimensional continuum-discontinuum parallel computing method and its application to rockburst process
  
DOI:10.11705/j.issn.1672-643X.2024.01.21
中文关键词:  岩爆  GPU并行计算  三维连续-非连续方法  V形坑  静水压力  侧压系数  洞室
英文关键词:rockburst  GPU-parallelized computing  three-dimensinal continuum-discontinuum method  V-shaped notch  hydrostatic pressure  lateral pressure coefficient  cavern
基金项目:国家自然科学基金项目(52074142)
作者单位
王学滨1,2, 杜 轩2, 薛承宇2, 陈双印2, 廖裴彬2, 余保健2 (1 辽宁工程技术大学 计算力学研究所 辽宁 阜新 123000 2.辽宁工程技术大学 力学与工程学院 辽宁 阜新 123000) 
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中文摘要:
      随着深部岩石工程的发展,岩爆变得越发严重。在岩爆的数值模拟方面,连续方法和非连续方法均具有一定的局限性。兼具二者优势的连续-非连续方法更具优势,且正在快速发展。基于CUDA对自主开发的三维拉格朗日元与离散元耦合连续-非连续方法进行了GPU并行加速。为了探索岩爆的机理和过程,模拟了不同静水压力、侧压系数和单元数目(最多达100×104)条件下圆形洞室围岩V形坑的演化规律和单元弹射现象。考察了洞室围岩中裂纹的定量演化规律。研究表明:当静水压力较大时,基于芬纳公式的支护设计偏于不安全。由于V形坑的位置发生改变,V形坑的平均最大深度随着静水压力的增加先缓慢增加后快速增加。关于洞室围岩V形坑的模拟结果能与有关的实验结果、数值结果和现场观测结果吻合。上述研究很好地体现了岩爆并行计算较串行计算和商业软件计算的优势。
英文摘要:
      With the development of the deep rock engineering, rockbursts are becoming more and more frequent. Regarding to the numerical simulation of rockbursts, both continuouum and discontinuum methods have certain limitations; whereas the continuum-discontinuum methods that combine advantages of both are more favorable and developing rapidly. In this study, a self-developed three-dimensional continuum-discontinuum method combining the Lagrangian element method and the discrete element method was developed into the parallelized acceleration version by GPU based on CUDA. To investigate mechanisms and processes of rockbursts, evolution of V-shaped notches and the element ejection phenomenon of the circular cavern surrounding rock under different hydrostatic pressures, lateral pressure coefficients and numbers of elements (maximum 1.0×106 ) were studied, and the evolution of the number of crack segments in the cavern surrounding rock was investigated. Results show that the support design based on the Fenner formula is unsafe for high hydrostatic pressures. Due to the changes in the positions of the V-shaped notches, the average maximum depth of the V-shaped notches increases slowly and then rapidly with the increase of the hydrostatic pressure. The simulation results of V-shaped notches in the cavern surrounding rock are in a good agreement with relevant experimental results, numerical results and field observations. The present GPU-parallelized computing shows more advantages for modeling of rockbursts than serial computing and commercial software computing.
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