Abstract An elastic model of thin plate with three edges fixed and one simply supported was established as the mechanical model of high and thick strata of hard magmatic rock at working front 10416 in Yangliu coal mine,A flexural function and an analytic expression of stresses for the hard and thick strata were derived with Rayleigh-Ritz method. A formula of fracture span was obtained;and then a method of calculating the length of drawing pace of fracturing according to fracture morphology of overburden was proposed. The analysis of monitored results of microseism,supporting pressures and surface subsidence revealed the fracture process and the dynamic response of high and thick strata of hard rocks. The point of maximum deflection prior to fracturing of strata is at the location of and ,where a is suspension length along the strike of hard-thick strata;b is suspension length along the tendency of hard-thick strata. Fracture first happened along the dip clamper edge if a<1.049b,along the strike clamper edge otherwise. The initial form of fracturing is “O-X” shaped,which is symmetrically along the strike but asymmetrically along the tend. Microseismicity intensified during the process of fracturing and movement of strata leading to the strong microseismicities activities to be generated and the supporting pressure and surface subsidence significantly be increased. Fracturing of high and thick strata of hard rocks causes strong dynamic response which can be analyzed and predicted by theoretical calculation and microseismic monitoring.
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Received: 11 October 2013
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