Fractal study on spontaneous imbibition characteristics of the non-Newtonian fracturing fluids in porous media with rough surfaces

To explore the spontaneous imbibition characteristics of non-Newtonian fluid in tight reservoirs, the fractal model of spontaneous imbibition of non-Newtonian fluid in porous media with rough surface is established in the article. The function expressions of imbibition height and imbibition mass in the process of imbibition in rough porous media are derived. Through sensitivity analysis, it is found that the increase in roughness and tortuosity makes the imbibition height decrease. In addition, the increase of tortuosity fractal dimension and porosity makes the imbibition mass increase, while the increase of power law index and roughness makes the imbibition resistance increase, so the imbibition quality decreases. In addition, this paper verifies the rationality and correctness of the model by comparing it with the experimental data and other existing models.