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<p>The pore structure of rocks is complex and diverse, and the change in the internal pore structure serves as an important parameter for determining the rocks’ strength and permeability. In this study, the aspect ratio parameter <i>α</i> in the differential equivalent pore distribution theory is first equivalently replaced with the stress parameter. Next, the simplified theoretical model was used to obtain the response characteristics of crack pore to stress. Finally, the stress-permeability model is established based on the wave velocity inversion method with the change of porosity as the intermediate bridge. The experimental data of sandstone with different lithology are compared with the model fitting results, and it is shown that the theoretical model can effectively invert the evolution trend of permeability with stress in the elastic stage of sandstone. This method achieves the goal of dynamically predicting sandstone permeability by using conventional parameters such as wave velocity and stress. The results of this study are of great significance in the field of permeability characteristics of porous media, and will provide an accurate and convenient permeability prediction method.</p>

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Stress-Permeability Modeling of Sandstone Using Wave Velocity-Based Porosity Evolution

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Zhengdai Li,
  • Jianping Zuo,
  • Jingfeng Li,
  • Yunjiang Sun,
  • Meilu Yu,
  • Yong Zhang,
  • Baoyang Wu

摘要

The pore structure of rocks is complex and diverse, and the change in the internal pore structure serves as an important parameter for determining the rocks’ strength and permeability. In this study, the aspect ratio parameter α in the differential equivalent pore distribution theory is first equivalently replaced with the stress parameter. Next, the simplified theoretical model was used to obtain the response characteristics of crack pore to stress. Finally, the stress-permeability model is established based on the wave velocity inversion method with the change of porosity as the intermediate bridge. The experimental data of sandstone with different lithology are compared with the model fitting results, and it is shown that the theoretical model can effectively invert the evolution trend of permeability with stress in the elastic stage of sandstone. This method achieves the goal of dynamically predicting sandstone permeability by using conventional parameters such as wave velocity and stress. The results of this study are of great significance in the field of permeability characteristics of porous media, and will provide an accurate and convenient permeability prediction method.