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煤层底板富水承压溶洞突水力学模型构建及突水判据研究

Construction of mechanical model of water inrush from water-rich confined karst cave in coal seam floor and study on criterion

  • 摘要: 西南地区是我国南方重要的煤炭生产基地,由于喀斯特地貌分布广泛,岩溶发育强烈,该地区主采的二叠系煤层底板茅口组灰岩中常见充水性溶洞,煤矿开采过程中一旦遇到隐伏富水承压溶洞,在采动和承压水双重作用下,极易导致煤层底板隔水岩体失稳破坏产生突水灾害,对煤矿的安全开采造成严重威胁。为研究煤层底板富水承压溶洞突水灾害发生时的地质控制因素及隔水岩体失稳破坏的力学行为,有效保障煤矿安全开采,基于西南岩溶地区溶洞的形态特点、隔水岩体的受力特征,将溶洞顶板简化为圆形断面,将溶洞与煤层之间的隔水岩体简化为由无数积分薄圆板构成的圆锥台体,建立了煤层底板富水承压溶洞突水力学模型。运用突变理论中的尖点突变模型对力学模型进行解析,结合弹性力学理论,得出了系统变形失稳的标准势函数表达式,进而研究了系统的临界稳定状态,推导了煤层底板富水承压溶洞突水的力学判据。研究表明:隔水岩体失稳破坏进而引发富水承压溶洞突水的地质因素主要由隔水岩体的厚度、弹性模量、泊松比及溶洞的尺寸和水压等控制,且当隔水岩体厚度、弹性模量和泊松比越小,溶洞尺寸和水压越大时,越容易发生突水灾害。研究成果可以为煤层底板溶洞突水现象的解释和防治提供科学依据。

     

    Abstract: Important coal production bases in the southern part of the country are mainly located in Southwest China,where the karst landforms are widely distributed and the karst are strongly developed. And there are also many water-rich karst caves in the limestone of Maokou Formation in coal seam floor,which are main mining strata in this area. Once the water-rich karst caves are encountered in the process of coal mining,the water resisting rock of coal seam floor is prone to instability and failure under the dual pressure of mining and confined water,resulting in water inrush disaster,which poses a serious threat to the safety of coal mining. In order to study the geological controlling factors and the mechanical behavior of instability and failure of water resisting rock when the water inrush disasters of water-rich karst caves in coal seam floor occur,and to effectively guarantee the safety of coal mining,the karst cave roof was simplified as a circular section,and the water resisting rock between the karst cave and the coal seam was simplified as a conical platform model composed of countless integral thin circular plates based on the morphological characteristics of karst cave and stress characteristics of water resisting rock in Southwest China. And then a mechanical model of water inrush from water-rich karst cave in coal seam floor was constructed. The cusp catastrophe model in catastrophe theory was used to analyze the mechanical model,and the standard potential function expression of system deformation and instability was obtained based on the theory of elasticity. The critical stable state of the system was obtained,and the mechanical criterion of water inrush from water rich and confined karst cave in coal seam floor was deduced. The study showed that the instability and breaking of the water resisting rock which cause the water inrush disasters of water-rich karst cave in coal seam floor was mainly controlled by geological factors such as the thickness,the elastic modulus,the Poisson′s ratio of the rock layer,the size and the water pressure of the karst cave. And the smaller the thickness,elastic modulus and Poisson′s ratio of the water resisting rock,the larger the karst cave size and the greater the karst water pressure,the more likely the water inrush disasters would happen. Achievements can provide a scientific basis for the explanation and prevention of water inrush from karst caves in coal seam floor. 

     

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