hydraulic fracture and fluid injection can cause seismic activity. the fluid is injected under certain pressure in the pit and then penetrates to rock structures that lead to other gaps, the environment has been affected and potentially causes seismic events that are registered by stations and nearby receivers. the qualitative correlation between the fluid volume injected and the seismic activity rate at different time ranges gives us the appropriate method for detecting the probability and possibility of inductive earthquakes. this diagnosis can be used in prediction of earthquakes as well as related to industry, national projects and infrastructure. in this paper the effect of hydraulic fracture on seismic activity and induced earthquake occurrence is investigated by correlation mathematical method.