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Caption : fig. s1 cumulative displacement ratio of heptane changing with time in irregular nanopore model at 25 ℃ and 5.6 mpa. 

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Caption : fig. s2 cumulative displacement ratio of heptane changing with time in irregular nanopore model at 25 ℃ and 6.2 mpa.

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Caption : fig. s3 visualization of co2 immiscible displacement in the regular nanopore model. (a) images captured at different stages of mass transport for co2 and pentane/dodecane in the nanoporous medium at 25 ℃ and 5.2 mpa. (b) time-dependent variation in gray value of fluid at two fixed positions, a1 and a2, marked in (a). (c) time-dependent variation in gray value of fluid at two fixed positions, b1 and b2, marked in (a).

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Caption : fig. s4 co2 immiscible displaces pentane-dodecane in irregular nanopore model at 25 ℃ and 5 mpa (6.6x speed). 

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Caption : fig. s5 co2 miscible displaces pentane-dodecane in irregular nanopore model at 25 ℃ and 6.2 mpa (2x speed).

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Caption : fig. s6 co2 immiscible displaces pentane-dodecane in multiscale model at 45 ℃ and 7.4 mpa (60x speed).

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Caption : fig. s7 co2 miscible displaces pentane-dodecane in multiscale model at 45 ℃ and 9.6 mpa (10x speed).

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Caption : fig. s8 flowchart of nanoscale co2-hydrocarbon mmp calculation.

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Caption : fig. s9 interfacial tension between co2 and heptane at various pressure and 65 ℃.

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Caption : fig. s10 calculated co2-heptane mmp at 100 nm and various temperatures.

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Caption : fig. s11 effect of nano-confinement on co2-pentane/dodecane mmp at various pore radii and 45 ℃. (a) deviation of nanoscale co2-pentane/dodecane mmp from bulk value at various pore radii. (b) adsorption ratio of various molecules and effective pore radius reduction at different pore radii. (c) changes in ift and capillary force with varying pore radii at 6 mpa and 45 ℃. (d) phase density variation across different pore radii at 6 mpa and 45 ℃. 

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Caption : fig. s12 effect of different confinements on co2-pentane/dodecane mmp at various pore radii and 45 ℃. (a) calculated co2-pentane/dodecane mmp with considering different nano-confinement effects at various pore radii and 45 ℃. (b) contribution of nano-confinement effects to co2-pentane/dodecane mmp deviation at different pore radii and 45 ℃. (c) phase density of co2-pentane/dodecane system with different pore radii and 45 ℃ and 6 mpa.