A model for shale gas flow in a fractal dual-porosity rock is built and well validated with experimental data. Results indicate that (1) the gas transport in shale natural fractures gradually becomes a higher priority in the dual-porosity rock with the increase of fracture porosity; (2) the ratio of minimum fracture aperture to a fracture aperture and the fractal dimension of fracture together contribute to the fracture aperture distribution. More fractures with larger aperture exist in shale rock with larger minimum fracture aperture, which benefits gas apparent permeability; (3) a natural fracture-dominant region enlarges with decreasing fractal dimension of fracture aperture and increasing minimum fracture aperture, and this is beneficial to the improvement of the gas apparent permeability.

中文翻译：

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分形结构的双孔隙页岩气输运模型

建立了分形双孔隙岩石中页岩气流动的模型，并用实验数据进行了很好的验证。结果表明：（1）随着孔隙度的增加，页岩天然裂缝中的天然气运移逐渐成为双孔隙岩石中的优先事项。（2）最小裂隙孔与裂隙孔的比率以及裂隙的分形维数一起有助于裂隙孔的分布。页岩中最小裂隙孔径较大的裂隙较多，这有利于气体表观渗透率。（3）随着裂缝孔径分形维数的减小和最小裂缝孔径的增大，自然裂缝占主导地位的区域增大，有利于提高气体表观渗透率。