分级加载条件下煤样蠕变特性及蠕变模型研究

    STUDY ON CREEP CHARACTERISTICS OF COAL SAMPLES AND CREEP MODEL UNDER STEP LOADING

    • 摘要: 长期处于富水状态下的防水煤柱在蠕变作用的影响下,造成弹性核区减小,煤体内部裂隙不断扩展、贯通,最终引发涌水灾害。研究煤柱的蠕变特性及建立蠕变模型是解决该类问题的关键。基于此,选取澄合东部矿区天然煤样和饱水煤样进行常规三轴压缩和三轴蠕变试验。试验结果表明:当煤体处于稳定蠕变阶段时,在恒定围压下随着轴向应力的提升,蠕变应变与瞬时应变的比值呈递减趋势;每级荷载下饱水煤样的瞬时应变、蠕变应变均大于天然煤样,蠕变应变约为天然煤样的1~2倍;在相同加载等级下,随着围压的提高,蠕变应变增幅不断降低,尤其在3 MPa围压下蠕变增幅下降明显,最小增幅仅为5.7%;1 MPa围压下,天然煤样的瞬时弹性模量是饱水煤样的1.2倍,围压3 MPa时天然煤样的瞬时弹性模量是饱水煤样的2.93倍,天然煤样的2.41倍。通过对煤样蠕变特性的分析,建立起一个新的五元件非线性黏弹塑性蠕变本构模型,利用最小二乘法原理对蠕变本构模型参数进行非线性拟合。拟合结果表明,煤样三轴蠕变试验曲线与模型拟合曲线吻合较好,平均拟合度达到0.975,验证了新模型的适用性。拟合所得到的蠕变模型参数,可为今后防水煤柱宽度留设参数选择提供数据储备。

       

      Abstract: Waterpro of coal pillars under long-term saturation are susceptible to creep-induced reduction of the elastic core,internal crack propagation,and eventual water inrush disasters. Investigating the creep behavior of coal pillars and establishing a suitable creep model are therefore essential. This study used natural and water-saturated coal samples from the eastern Chenghe mining area to conduct conventional triaxial compression and triaxial creep tests. The results show that during stable creep,the ratio of creep strain to instantaneous strain decreases with increasing axial stress under constant confining pressure. Saturated coal samples exhibited larger instantaneous and creep strains than natural samples at each loading level,with creep strains approximately one to two times greater. As confining pressure increased,the increment in creep strain progressively diminished,especially at 3 MPa,where the increase was only 5.7%. At 1 MPa confining pressure,the instantaneous elastic modulus of natural coal samples was 1.2 times that of saturated samples; at 3 MPa,it was nearly three times greater—specifically,2.93 times that of saturated samples and 2.41 times that of natural samples. Based on the observed creep characteristics,a new five-element nonlinear visco-elasto-plastic creep constitutive model was developed. Model parameters were fitted using nonlinear least-squares regression,showing a strong correlation between the experimental creep curves and model predictions(average fitting coefficient of 0.975),which validates the model's applicability. The parameters derived from this creep model provide important data for future determination of waterproof coal pillar width.

       

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