Fractional Order Creep-seepage Model And The Application Of Solid Filling Mining

Solid close pack mining technology, an important part of coal green miningtechnology, could effectively solve environmental problems caused by the large-scaleexploitation of coal resources. Study of solid close pack mining technology providestheoretical basis for development and implementation of dense pack miningtechnology.Also, it provides reference for surface deformation predication of the"three under" pressure coal. In this paper, the integrated use of theoretical analysis,numerical simulation and other research methods, the law on fully mechanizedtiem-space effect of solid dense pack the law was systematically analyzed.Based on the classic rock creep theory, the constitutive equations and commoncreep parameters of the fractional-order creep model are derived by using fractionalderivative, laplace transform and series-parallel connection law for creep combinationmodel, combined with non-dimensional method. On basis of the establishment offractional-order creep model, the three common creep models are studied respectivelyby numerical simulation combining with the creep experimental data of filling body.The Burgers model is taken as the creep constitutive model for filling body aftercomparison, and combined with the stress balance equation, the effective stressprinciple and the Darcy’s law in the traditional classical mechanics, thefractional-order seepage-creep coupling mathematical model for filling body isproposed. The overlying rock creep laws of the two creep coupled model under theeffect of different pore water pressures are systematically studied. Moreover, acomparative analysis of the time effect of the maximum displacement and the groundsurface subsidence is conducted.