In this work, a new gas transport model for shale reservoirs is constructed by embedding randomly distributed roughened tree-like bifurcation networks into the matrix porous medium. We constructed apparent permeability models for different shale gas flow mechanisms based on fractal theory, taking into account the effects of relative roughness and surface diffusion. The effects of bifurcation structure parameters as well as shale gas parameters on different apparent permeabilities are systematically analyzed. It is found that the permeability generally shows a decreasing trend with the increase in pore pressure, but the effect on viscous flow is inconsiderable. In addition, larger porosity, fractal dimension and bifurcation levels lead to increased permeability of different mechanisms. Whereas, the increase in the bifurcation levels implies a greater flow resistance, resulting in a decreased permeability. In addition, The relative roughness hinders the development of total permeability but favors surface diffusion permeability. Moreover, larger length ratios and diameter ratios are beneficial to the shale gas flow.

在这项工作中，通过将随机分布的粗糙树状分叉网络嵌入基质多孔介质中，构建了一种新的页岩储层气体输运模型。基于分形理论，考虑相对粗糙度和表面扩散的影响，构建了不同页岩气流动机制的表观渗透率模型。系统分析了分岔构造参数以及页岩气参数对不同视渗透率的影响。研究发现，随着孔隙压力的增加，渗透率普遍呈现下降趋势，但对粘性流的影响不大。此外，较大的孔隙度、分形维数和分叉水平导致不同机制的渗透率增加。然而，分叉水平的增加意味着更大的流动阻力，导致渗透性降低。此外，相对粗糙度阻碍了总渗透率的发展，但有利于表面扩散渗透率。此外，较大的长度比和直径比有利于页岩气的流动。