Nano-indentation test to determine mechanical properties of reservoir rock can be implemented as multi-stage or single-stage tests. An experimental nano-indentation test (multi-stage or single-stage) is performed on a solid sample. A numerical nano-indentation test (multi-stage or single-stage) is performed on a numerical model of the solid sample. One or more experimental force-displacement curves obtained in response to performing the experimental nano-indentation test and one or more numerical force-displacement curves obtained in response to performing the numerical test are compared. Multiple mechanical properties of the solid sample are determined based on a result of the comparing.