Shale oil reservoir is a typical unconventional oil and gas resource that plays an essential role in the international energy supply market. Due to the complex pore structure and crude oil composition of shale oil reservoirs， the flow of crude oil in organic-rich shales has a certain complexity，and its flow behavior still needs to be further studied. Based on the stochastic simulation method， the flow characteristics of fluid in mixed-wet nanopores were considered， and an apparent oil permeability （AOP） model of shale oil reservoirs was established in this paper. The results show that the AOP of shale oil reservoirs is directly related to the molecular structure of alkanes， and its influence decreases with the increase of pore radius. The organic matter can improve the flow capacity of crude oil when the boundary slip length is large，and its AOP is about ten times the absolute permeability.At the same time， the pore radius reduction and wetting reversal effect triggered by adsorbed organic matter significantly impact the flow capacity of alkane molecules，and these effects cannot be ignored. The AOP model of shale oil reservoirs considering mixed-wet nanopores established in this paper helps understand the fluid flow mechanism of shale oil reservoirs and can provide theoretical support for productivity evaluation，dynamic analysis，and production system optimization of shale oil reservoirs.