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| Models | Synopsis | Pros and cons |
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| Javadpour [1] | Consider slippage effect and Knudsen diffusion, based on Maxwell theory | Simple, only suitable for straight pipes, ideal gas, without considering adsorption and desorption |
| Civan [15] | Second-order slip model, consider slippage effect | Higher-order slip flow, contains empirical parameters |
| Darabi et al. [16] | Based on the hypothesis of slippage effect, Maxwell’s theory is adopted, considering the surface roughness and Knudsen diffusion in porous media | Consider the tortuosity and surface roughness of porous media, ideal gas, without considering adsorption and desorption |
| Akkutlu et al. [12] | Based on matrix-fracture dual media model, the matrix contains organic and inorganic matter, considering surface diffusion and adsorption | Dual media system; complex numerical model |
| Shabro et al. [24] | Construct porous structure based on finite difference numerical model and geometric parameters | Characterization of spatial structure of porous media, complex numerical models, ignoring adsorption |
| Mehmani et al. [25] | Apply Javadpour’s model to pore network model | Characterization of spatial structure of porous media, complex numerical models, ideal gases, ignoring adsorption |
| Chen et al. [26] | Based on SEM to construct the pore structure, considering Knudsen diffusion and slippage effects | Characterization of spatial structure of porous media, complex numerical models, ignoring adsorption, and containing empirical parameters |
| Wu et al. [17] | Consider influence of real gas properties and stress on permeability and pore size | Consider complex structure of pore network and the dynamic change of pore size under stress and desorption shrinkage; fail to consider the complex spatial structure |
| Zhang et al. [19] | Divide flow patterns based on Knudsen number, consider multiple migration mechanisms | Considering multiple transport mechanisms of microscale fluids, failing to consider complex spatial structures |
| Mi et al. [18] | Considering matrix porous media and natural fractures, the series-parallel model is used for coupling permeability | Considering microscale gas slippage effect, diffusion effect, and natural fracture flow characteristics, failing to consider complex spatial structure |
| Sheng et al. [20] | Based on molecular collision theory, considering the influence of adsorption layer migration on slip coefficient of free gas | Analytical methods are used to realize the combination of multiple migration mechanisms, complex pore structure features and pore size dynamic changes, fail to consider complex spatial structures |
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