组合隔水层非线性失稳特征研究

Nonlinear unstable characteristic of composed water-resisting strata

在矿山压力和含水层水压的综合影响下,煤层底板隔水层将面临非线性失稳的危险.应用尖点突变理论研究组合隔水层失稳的非线性特征.将组合隔水层视为组合岩梁,建立其失稳的突变模型,探讨组合隔水层失稳的非线性规律,获得了组合隔水层失稳的充要条件.分析了矿山压力、水压和巷道跨度对组合隔水层失稳的影响规律,结果表明,随着矿山压力、水压和巷道跨度的增大,组合隔水层越容易失稳.研究结果对于底板突水的防治具有一定的指导意义.

The water-resisting strata in coal seam floor will face the risk of the nonlinear instability affected by ground pressure and water pressure. The nonlinear characteristic of unstable composed water-resisting strata is studied with cusp catastrophe theory. The composed water-resisting strata can be regarded as a composed rock beam. The cusp catastrophe model of the unstable composed rock beam is established. Through the model, the nonlinear characteristic of unstable composed water-resisting strata is discussed, also the necessary and suffi- cient conditions are obtained. Lastly, the effect laws of ground pressure, water pressure and tunnel span on the instability of composed water-resisting strata are analyzed. The results show that with the growing of ground pressure, water pressure and tunnel span, the instability of composed water-resisting strata will be easier. It has a certain guiding significance for the prevention of floor water invasion.