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基于“混合耦合理论”的双重孔隙介质HMD模型及应用

A hydro-mechanical-damage model of the dual-porosity media based on the mixture coupling theory

  • 摘要: 在开采扰动下, 富水矿山采空区围岩孔隙结构和渗透性往往发生较大的改变, 从而诱发导水裂隙带的产生, 甚至导致突水灾害。导水裂隙带的形成不仅具有很强的不可预见性, 往往还需要考虑开采过程中裂隙围岩的应力、渗流等多物理场的耦合作用, 因此对于相关模型的建立依然是一个挑战。为了探究采动过程中应力、渗流以及损伤耦合下的裂隙带形成规律, 首先将包含大量孔隙、裂隙的富水围岩简化为双重孔隙介质, 即介质由多孔基质与裂隙重叠而成。然后基于新兴的混合耦合理论, 采用非平衡热力学的方法, 建立考虑应力−渗流−损伤耦合(Hydro-Mechanical-Damage Coupling)的双重孔隙介质的热力学一致本构模型。同时, 推导出应力−渗流−损伤(HMD)耦合条件下应力、孔隙度和裂隙体积分数的动态演化方程。最后, 将推导出的耦合模型应用于实际工程情境, 利用有限元软件对围岩孔隙水压力、应力、竖向位移以及损伤的演化规律进行数值模拟分析, 并揭示出富水矿山采动过程中导水裂隙带可能形成的位置, 为工程实践提供一定的参考。

     

    Abstract: The pore structure and permeability of surrounding rock in water-rich mine often undergo significant changes under mining disturbances, which can induce the formation of water-conducting fracture zones and even lead to water inrush disasters. The formation of water-conducting fracture zones is not only highly unpredictable, but also involves the coupling effect of stress and seepage in the fractured surrounding rock during the mining process, which makes the model development challenging. To study the formation law of the fracture zones under the coupling effect of stress and seepage during the mining process, the surrounding rock containing a large number of pores and fractures is simplified as the dual-porosity medium, which is formed by the overlapping of porous matrix and fractures. Then, based on the Mixture Coupling Theory, a thermodynamically consistent constitutive model, namely the HMD (hydro-mechanical-damage) constitutive model, is established with non-equilibrium thermodynamic methods that considers the coupling of stress, seepage and damage. Meanwhile, the dynamic evolution equations of stress, porosity and fracture volume fraction under HMD coupling conditions are derived. Finally, the derived coupling equations are applied to practical engineering scenarios, and the evolution laws of pore water pressure, stress, vertical displacement and damage of the surrounding rock are numerically simulated and analyzed with finite element method software. The possible locations of water-conducting fracture zones during the mining process of the water-rich mine are also identified.

     

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