Multiscale Apparent Permeability Model of Shale Nanopores Based on Fractal Theory
作者： Qiang Wang , Yongquan Hu , Jinzhou Zhao , Lan Ren , Chaoneng Zhao
DOI: 10.3390/EN12173381
关键词:
摘要: Based on fractal geometry theory, the Hagen–Poiseuille law, and Langmuir adsorption this paper established a mathematical model of gas flow in nano-pores shale, deduced new shale apparent permeability model. This considers such mechanisms as pore size distribution, tortuosity, slippage effect, Knudsen diffusion, surface extension matrix. is closely related to structure parameters can better reflect distribution characteristics shale. The correctness verified by comparison with classical experimental data. Finally, influences pressure, temperature, integral shape dimension tortuous permeability, slip flow, diffusion transport mechanism capacity are analyzed, behaviors rules multi-scale pores revealed. proposed conducive more profound clear understanding nanopores.
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