A method of performing a fracture operation at a wellsite is disclosed for a wellsite positioned about a subterranean formation having a wellbore therethrough and a fracture network therein. The fracture network includes natural fractures. The method involves generating wellsite parameters of the wellsite comprising seismic measurements, generating smooth fracture parameters of a smooth fracture by solving governing equations based on the wellsite parameters, and generating ledged fracture parameters of a ledged fracture by identifying ledge locations and generating ledged fracture parameters of a ledged fracture at the ledge locations by solving the governing equations based on the wellsite parameters for the ledge locations.