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陷落柱概化模式及突水力學判據

Generalized modes and academic criterions of water inrush from paleo-sinkholes

  • 摘要: 按照與采面或者巷道的位置關系,將陷落柱突水模式分為頂底部突水模式和側壁突水模式2種模式,以及薄板理論子模式、剪切破壞理論子模式、厚壁筒突水子模式和壓裂突水子模式等4種子模式.薄板理論子模式適用于筒蓋關鍵層完整且厚度較小的情況,突水判據為極限彎矩;剪切破壞理論子模式應用條件為筒蓋關鍵層厚度較大,突水判據為二次拋物線方程;厚壁圓筒破壞的彈性極限壓力因屈服經驗準則不同而有所差異,但均與巖層強度成正比;壓裂突水子模式描述的是地下水通過壓裂與其他固有構造導通而發生突水,臨界破裂壓力可以借鑒水壓裂的計算公式.由突水案例的分析計算表明,突水模式及突水判據簡單易行,切合實際,且有足夠的準確性.

     

    Abstract: According to locational relations between a paleo-sinkhole and a working face or tunnel, the modes of paleo-sinkhole-caused water inrush (hereinafter referred to as water inrush from paleo-sinkholes) are divided into the mode of water inrush from roof/floor and the mode from rib as well as four sub-modes, including the thin plate sub-mode of water inrush, the shear failure sub-mode, the thick wall cylinder submode and the hydro-fracture sub-mode. The thin plate sub-mode is applicable to the circumstance where the key layer of cylinder cover is complete and has small thickness, and its criterion of water inrush is the limit bending moment. The shear failure sub-mode is applicable to the circumstance where the key layer of cylinder cover has big thickness, and its criterion of water inrush is a quadratic parabola equation. In the thick wall cylinder water inrush mode, the elastic limit pressures that may lead to failure of the thick wall cylinder are different as the different yield empirical rules, but all are in direct proportion with the strength of rock stratum. The hydro-fracture sub-mode of water inrush describes the type of water inrush that occurs due to the interconnection between underground water and other inherent structures through hydro-fracture when the paleo-sinkhole is far from the working face or tunnel. The critical hydro-fracture pressure may be calculated by reference to the formula used for calculating hydro-fracture. It is indicated by an actual example that the water inrush modes and their criteria are simple and feasible, conform to the realities and have sufficient accuracy.

     

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