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基于弹塑性土体本构模型的自动放顶煤流动过程SPH模拟研究

SPH simulation study of automatic top coal caving flow process based on elastoplastic soil constitutive model

  • 摘要: 放顶煤开采技术是开采厚煤层或特厚煤层的有效方法,数值模拟是研究垮落和放煤过程的常用手段。然而,目前基于离散元的数值模型在参数确定性方面存在局限,影响了计算精度和计算效率。因此,采用一种新型无网格方法,即光滑粒子方法(SPH),建立了基于弹塑性本构关系的放煤模型。利用SPH法在模拟大变形问题中的优势,结合非黏聚土体本构模型与Drucker-Prager屈服准则,对比分析不同材料参数(摩擦角、密度等)对煤矸界面演化的影响,同时模拟了散体顶煤及矸石的放出流动行为,通过实验验证了模型在模拟煤矸界面演化和颗粒流动方面的适用性,分析了不同放煤方式(中位、低位放煤)移架过程中顶煤放出流动规律。结果表明:非黏聚模型可有效模拟散体颗粒的流动行为,滑坡模拟结果与实验吻合较好;改进后的SPH算法解决了数值噪声问题,引入应力光滑技术得到了“双峰”应力分布规律;较小的摩擦角对应的锥形煤矸界面在放出过程中下移程度更大,矸石密度对煤矸分界面没有产生显著影响,矸石厚度增加导致放煤量相应增加;不同放煤方式下顶煤垮落流动规律与速度分布的煤矸演化机理结果一致,低位放煤的顶煤含矸率约28.86%,比中位放煤低约16.89%,且有继续优化的空间;所构建的SPH模型仅需设置5个材料参数,均可通过标准岩土剪切试验获得,数值模型的确定性更好。

     

    Abstract: The top-coal caving technique is an effective method for extracting thick or ultra-thick coal seams, with numerical simulations commonly employed to study the caving and coal release processes. However, current discrete element-based numerical models are limited in terms of parameter determination, which affects computational accuracy and efficiency. Therefore, a novel mesh-free method, namely the Smoothed Particle Hydrodynamics (SPH), was adopted to develop a coal release model based on an elasto-plastic constitutive relationship. By leveraging the SPH method’s advantages in large deformation simulations and integrating a non-cohesive soil constitutive model with the Drucker-Prager yield criterion, the effects of various material parameters (e.g., friction angle, density) on the evolution of the coal-gangue interface was compared and analyzed. Additionally, the release and flow behavior of fragmented top-coal and gangue was simulated, and the model’s applicability in simulating coal-gangue interface evolution and particle flow was experimentally validated. Different coal release methods (mid-level and low-level caving) were analyzed to investigate the flow patterns of top-coal during support advancement. The results indicate that the non-cohesive model effectively simulates granular particle flow behavior, with the landslide simulation results aligning well with experimental data. The improved SPH algorithm addresses numerical noise issues, and the application of stress smoothing techniques reveals a “double-peak” stress distribution pattern. A smaller friction angle correlates with a greater downward displacement of the conical coal-gangue interface during release, while gangue density has no significant impact on the coal-gangue interface. Increased gangue thickness leads to a corresponding increase in coal release. The flow and velocity distribution patterns of top-coal under different caving methods align with the coal-gangue evolution mechanism, with low-level caving yielding a gangue content in top-coal of approximately 28.86%, around 16.89% lower than that of mid-level caving, indicating potential for further optimization. The SPH model developed requires only five material parameters, all of which can be obtained through standard geotechnical shear tests, enhancing the determinacy of the numerical model.

     

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