Quantitative characterization of irregular micro-fracture network and its effect on the permeability of porous media

LI Tao,LI Qian,HU Yong,PENG Xian,FENG Xi,ZHU Zhanmei,ZHAO Zihan

Table 3 The fitted relations of tortuosity and strike factor of fracture network of fractured model, and fitted relations of permeability and connectivity coefficient of fracture network of fracture-pore model.

Fractured model Fracture-pore model Fitted relations R2 Fitted relations R2 $\tau \text{=1}\text{.682}{{\text{e}}^{-0.189A}}$ 0.948 ${{K}_{0}}\text{=0}\text{.93}{{K}_{\text{e}}}{{\text{e}}^{0.886f}}$ 0.832 $\tau \text{=}-0.233A\text{+}1.620$ 0.941 ${{K}_{0}}\text{=1}\text{.395}{{K}_{\text{e}}}(f+0.667)$ 0.795 $\tau \text{=}-0.372\ln (A)\text{+}1.408$ 0.950 ${{K}_{0}}\text{=0}\text{.465}{{K}_{\text{e}}}(\ln (f)+4)$ 0.667 $\tau \text{=0}\text{.056}{{A}^{2}}-0.422A\text{+}1.767$ 0.953 ${{K}_{0}}\text{=0}\text{.93}{{K}_{\text{e}}}({{f}^{2}}\text{+}0.5f\text{+}1)$ 0.807 $\tau \text{=1}\text{.415}{{A}^{-0.3}}$ 0.948 ${{K}_{0}}\text{=1}\text{.86}{{K}_{\text{e}}}{{f}^{0.324}}$ 0.717