Seepage properties of porous media such as flow resistance, permeability, starting pressure gradient, gas flow and diffusion, and imbibitions have been received steady attention for decades in the area of pore-fractured porous media (PFPM) such as oil/water/gas reservoirs, hot dry rocks etc. The pore-fractured porous media, which consist of irregular pores in matrix with embedded fracture networks, widely exist in oil/water/gas reservoirs and hot dry rocks. Fractures in PFPM usually form networks and serve fluid (such as oil/water/gas) pathways, while oil/water/gas are usually stored in irregular pores around the fractured networks. Such pore-fractured porous media are often called dual-porosity media. Study of seepage properties in such media has been a challengeable and hot topic because microstructures of pores and fractures are extremely complicated. Usually, it is very difficult to find the seepage properties in the media analytically based on Euclidean geometry. Fortunately, available observations showed that the microstructures of naturally formed pores and fractures have the fractal characteristics, and the fractal geometry theory has been shown to be powerful in determination of seepage properties of the media. This paper attempts to summarize some progresses in applying the fractal geometry theory for pore-fractured porous media to analyze seepage properties in the media. Finally, some comments are made with respect to the theoretical developments and applications in this area in the future.
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