This paper derives a novel analytical model for stress dependent permeability of argillaceous porous media (APM) considering clay swelling using fractal theory. The model shows that the stress dependent permeability is a function of effective stress, clay content, clay expansion coefficient, initial irreducible water saturation and rock lithology. It is validated by the available test data from experimental studies and is shown to perform well. The presented model is then invoked to study the effects of relevant parameters on normalized permeability and irreducible water saturation. Under a given effective stress, the normalized permeability decreases with increasing clay content or increasing clay complete expansion coefficient. This work provides a comprehensive study on stress-dependent permeability in APM considering clay swelling, which is beneficial to analyzing the effect of clay content on permeability behavior of APM under stress dependence and clay swelling. In addition, the proposed model serves as a foundation for estimating physical parameters by inverse modeling.

本文利用分形理论推导了考虑粘土膨胀的泥质多孔介质（APM）应力相关渗透率的新型分析模型。该模型表明，应力相关的渗透率是有效应力，粘土含量，粘土膨胀系数，初始不可还原水饱和度和岩性的函数。它通过实验研究的可用测试数据进行了验证，并显示出良好的性能。然后调用提出的模型来研究相关参数对归一化渗透率和不可还原水饱和度的影响。在给定有效应力下，归一化渗透率随黏土含量增加或黏土完全膨胀系数增加而减小。这项工作提供了对考虑粘土膨胀的APM中应力相关渗透率的综合研究，这有利于分析在应力依赖性和黏土膨胀作用下黏土含量对APM渗透性能的影响。另外，所提出的模型为通过逆建模估计物理参数奠定了基础。