The stability of an inner dump slope was investigated under the effect of coal pillar support considering the development position of dumping. Based on the instability mechanism and load distribution characteristics of the supporting coal pillar, the three-dimensional mechanical effects of the supporting coal pillar are characterized. Using the two-dimensional equivalent principle and the residual thrust method, the stability of the inner dump slope was analyzed under the effect of pillar support at different dump development positions. The quantitative effects of various factors on the inner dump slope stability were revealed, and the coal pillar shape parameters were optimized through numerical simulations. The results indicate that the slope stability coefficient is linearly related to the top width and height of the coal pillar, slope angle, and base inclination angle, and has an exponential relation with the coal pillar strike length and slope height increment. There are quadratic and absolute value relations with the coal pillar outer and the inner bottom angle, respectively. The top width of the coal pillar in the inner dump of Shengli East No.2 open-pit coal mine should be at a level of + 824 m, and the optimal top width and height are 15 and 36.7 m, respectively. The instability mechanism of the supporting and retaining coal pillar obtained by numerical simulations and the stability of the inner dump are in good agreement with the theoretical analysis. Our results provide a theoretical basis for the design, treatment, and safe implementation of similar open-pit mine slope engineering.

考虑倾倒发展位置，研究了煤柱支护作用下内倾倒边坡的稳定性。基于支撑煤柱的失稳机理和载荷分布特征，表征了支撑煤柱的三维力学效应。采用二维等效原理和残余推力法，分析了内倾倒边坡在不同倾倒开发位置柱支撑作用下的稳定性。通过数值模拟，揭示了各种因素对内倾倒边坡稳定性的定量影响，并对煤柱形状参数进行了优化。结果表明，边坡稳定性系数与煤柱顶宽、顶高、坡角、和底倾角，与煤柱走向长度和坡高增量呈指数关系。煤柱外底角和内底角分别存在二次和绝对值关系。胜利东二号露天煤矿内堆煤柱顶宽应为+824 m，最佳顶宽和顶高分别为15和36.7 m。数值模拟得到的支挡煤柱失稳机理与内卸土场稳定性与理论分析吻合较好。我们的研究结果为类似露天矿边坡工程的设计、处理和安全实施提供了理论依据。且与煤柱走向长度和坡高增量呈指数关系。煤柱外底角和内底角分别存在二次和绝对值关系。胜利东二号露天煤矿内堆煤柱顶宽应为+824 m，最佳顶宽和顶高分别为15和36.7 m。数值模拟得到的支挡煤柱失稳机理与内卸土场稳定性与理论分析吻合较好。我们的研究结果为类似露天矿边坡工程的设计、处理和安全实施提供了理论依据。且与煤柱走向长度和坡高增量呈指数关系。煤柱外底角和内底角分别存在二次和绝对值关系。胜利东二号露天煤矿内堆煤柱顶宽应为+824 m，最佳顶宽和顶高分别为15和36.7 m。数值模拟得到的支挡煤柱失稳机理与内卸土场稳定性与理论分析吻合较好。我们的研究结果为类似露天矿边坡工程的设计、处理和安全实施提供了理论依据。煤柱外底角和内底角分别存在二次和绝对值关系。胜利东二号露天煤矿内堆煤柱顶宽应为+824 m，最佳顶宽和顶高分别为15和36.7 m。数值模拟得到的支挡煤柱失稳机理与内卸土场稳定性与理论分析吻合较好。我们的研究结果为类似露天矿边坡工程的设计、处理和安全实施提供了理论依据。煤柱外底角和内底角分别存在二次和绝对值关系。胜利东二号露天煤矿内堆煤柱顶宽应为+824 m，最佳顶宽和顶高分别为15和36.7 m。数值模拟得到的支挡煤柱失稳机理与内卸土场稳定性与理论分析吻合较好。我们的研究结果为类似露天矿边坡工程的设计、处理和安全实施提供了理论依据。数值模拟得到的支挡煤柱失稳机理与内卸土场稳定性与理论分析吻合较好。我们的研究结果为类似露天矿边坡工程的设计、处理和安全实施提供了理论依据。数值模拟得到的支挡煤柱失稳机理与内卸土场稳定性与理论分析吻合较好。我们的研究结果为类似露天矿边坡工程的设计、处理和安全实施提供了理论依据。