Abstract

In this paper, a hydro-thermo-mechanical coupling model based on the smoothed particle hydrodynamics with total Lagrangian formula (HTM-TLF-SPH) is proposed to simulate the crack propagation and instability process of fractured rock mass. TLF-SPH uses the Lagrangian kernel approximation, that is, the kernel function and its gradient need only be calculated once in the initial configuration, which is much more efficient than the smoothed particle hydrodynamics (SPH) based on the Euler kernel approximation. In TLF-SPH, particles interact with each other through virtual link, and the crack propagation path of rock mass is tracked dynamically by capturing the fracture of virtual link. Firstly, the accuracy and robustness of the HTM-TLF-SPH coupling model are verified by a reference example of drilling cold shock, and the simulation results agree well with the analytical solutions. Then, the crack propagation law of surrounding rock and the evolution characteristics of physical fields (displacement, seepage and temperature fields) after excavation and unloading of deep roadway under the coupling condition of hydro-thermo-mechanical are investigated. In addition, the seepage and heat transfer processes of the surrounding rock of Daqiang coal mine under different coupling conditions are successfully simulated. Meanwhile, the effect of the boundary water pressure difference on the temperature and seepage fields under the hydro-thermal coupling condition is quantitatively analyzed.

中文翻译：

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基于TLF-SPH的裂隙岩体裂纹扩展水热力耦合模型

摘要

本文提出一种基于全拉格朗日公式的光滑粒子流体动力学的水热力耦合模型（HTM-TLF-SPH）来模拟裂隙岩体的裂纹扩展和失稳过程。TLF-SPH采用拉格朗日核近似，即核函数及其梯度在初始配置时只需要计算一次，比基于欧拉核近似的平滑粒子流体动力学（SPH）效率高得多。TLF-SPH中，颗粒之间通过虚拟链接相互作用，通过捕获虚拟链接的断裂来动态跟踪岩体的裂纹扩展路径。首先，通过钻井冷冲击参考算例验证了HTM-TLF-SPH耦合模型的准确性和鲁棒性，仿真结果与解析解吻合较好。然后，研究水-热-力耦合条件下深部巷道开挖卸荷后围岩裂纹扩展规律及物理场（位移、渗流、温度场）演化特征。此外，成功模拟了大强煤矿围岩在不同耦合条件下的渗流与传热过程。同时定量分析了水热耦合条件下边界水压差对温度场和渗流场的影响。