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基于元胞自动机的房式煤柱稳定性研究

Reasoning research on stability of room coal pillar based on cellular automata

  • 摘要: 西部矿区浅埋煤层遗留大面积房式采空区,煤柱作为采空区内唯一的承载系统,其稳定性决定了整个采空区的稳定性,从而影响着下组煤层的安全开采。为了研究浅埋房式采空区煤柱破坏失稳演化规律,采用元胞自动机理论建立了浅埋房式采空区煤柱8Moore元胞自动机模型,并结合围压对煤岩单元储能极限的影响将煤柱元胞分为4个等级,以此定义了煤柱二维元胞模型储能极限分布规律,从各元胞间能量传递的角度分析了房式煤柱破坏失稳的演化规律;以石圪台煤矿3-1-1号煤层房式采空区煤柱为工程背景,通过数值模拟及现场揭露试验对提出的理论模型进行验证。研究结果表明:①煤柱的破坏失稳有2种演化模式,Ⅰ型演化模式下煤柱的弹性核区特征近似呈矩形,而Ⅱ型演化模式下煤柱的弹性核区近似呈四周凸起的多边形。②Ⅱ型演化模式中由于“等效元胞”的存在,其整体元胞储能极限高于Ⅰ型演化模式,在同样演化规则及外部施加相同广义能量的条件下,Ⅱ型演化模式的稳定性相对较好。③数值模拟结果表明,石圪台煤矿3-1-1号煤层房式采空区煤柱破坏演化规律与元胞模型Ⅱ型演化特征一致,计算平衡后的弹性核区形态特征也呈四周凸起的多边形。④现场揭露试验表明煤柱水平截面弹性核区形态特征与Ⅱ型演化结果一致,验证了房式煤柱元胞演化模型的正确性。

     

    Abstract: The large area of room mining goaf remains in the shallow coal seam of the western mining area. As the only bearing system in the gob, the stability of coal pillars determines the stability of the entire gob, thereby affecting the safe mining of the lower coal seams. In order to study the evolution law of the failure and the instability of coal pillar in shallow-buried gob, the 8 Moore cell-automata model of coal pillar in shallow-buried gob was established by using the theory of cellular automata theory. Combining with the influence of confining pressure on the energy storage limit of coal and rock units,the coal-pillar cell was divided into four levels, which defines the distribution law of energy storage limit of the two-dimensional cellular model of coal pillar and analyzes the evolution law of the failure and instability of room-type coal pillars from the perspective of energy transfer between cells. The proposed theoretical model was validated by numerical simulation results of coal pillars in the coal seam type gob of No.3-1-1 of Shigetai Coal Mine and field studies.The results show that: ①There are two evolution modes for the failure and instability of coal pillars. In the I-type evolution mode, the feature of elastic core region of the coal pillar is approximately rectangular, while the elastic core area of the coal pillar is approximately a convex polygonin the type II evolution mode. ②Due to the existence of the "equivalent cell" in the typeⅡevolution model, the energy storage limit of the whole cell is higher than that of the I-type evolution mode. Under the same evolution rule and the same generalized energy applied externally, the stability of the Ⅱ-type evolution mode is relatively better. ③The numerical simulation results show that the coal pillar failure evolution law of the No.3-1-1 coal seam gob in Shijietai Coal Mine is consistent with the evolution characteristics of theⅡ-type evolution mode, and the elastic core area after the calculation balance is also convex. ④The field studies show that the morphological features of the elastic core region of the horizontal section of the coal pillar are consistent with the result of Ⅱ-type evolution mode, which verifies the correctness of the evolution model of the room coal pillar.

     

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