To estimate natural fracture properties based on production from hydraulically fractured wells, a computer system receives hydrocarbon reservoir production information associated with a naturally fractured hydrocarbon reservoir with entrapped hydrocarbons in which a wellbore has been formed to produce the hydrocarbons. The information includes a wellbore pressure measured over production time. From the wellbore pressure, the computer system determines a time rate of change of the wellbore pressure over the production time. From a plot of a logarithmic time rate of change of the wellbore pressure over logarithmic production time, the computer system identifies multiple plot sections, each representing a respective flow regime of a flow of the hydrocarbons from the reservoir. For each plot section, the computer system determines a corresponding time rate of change of the wellbore pressure intersect value and a reservoir parameter for each corresponding time rate of change of the wellbore pressure intersect value determined for each plot section.