Fractional derivative permeability modeling approach to the influence of temperature on granite
AN Lu1，ZHOU Hongwei2，3，YANG Shuai1，SUN Xiaotong1，WANG Lei1，CHE Jun1
(1. School of Mechanics and Civil Engineering，China University of Mining and Technology(Beijing)，Beijing 100083，China；
2. School of Energy and Mining Engineering，China University of Mining and Technology(Beijing)，Beijing 100083，China；
3. State Key Laboratory of Coal Resources and Safe Mining，China University of Mining and Technology，
Beijing 100083，China)
Abstract：Decay heat generates from the cave of high-level radioactive waste disposal repository，which results in temperature climbing among the surrounding rock. Therefore，the influence of temperature in permeability of surrounding rock plays an important role in evaluating nuclide migration. In this context，the paper represents an evolution of Beishan granite permeability with an experiment of triaxial compression test in vary temperature，in an effort to obtain the evolution of permeability in the process of complete stress-strain curve. The permeability dependent curve of liquid ?p-t is fitting precisely by virtue of pressure drop attenuation model，which introduce the Mittag-Leffler function into the model of the traditional exponential permeability via the fractional derivative approach. By adhibitting fracture connectivity parameter C，the relation between fracture connectivity C and fractional order ? is established to reflect the density of original rock sample and the connectivity degree of the fracture network under triaxial compression. In the perspective of permeability model in fractional derivative，the influence of temperature on rock characteristic parameters is discussed，drawing a conclusion on the influence mechanism of temperature on the permeability evolution. Ultimately，the quantitative expression of the permeability of Beishan granite with respect to temperature is given.
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2019, Vol. 38 
