T he structure of the formation at Field X which is a limestone formation, has a number of indications regarding the presence of natural fractures in the rock formation. The existence of the fracture is carried out further analysis to determine whether the natural fracture is appropriate in the context of productivity. Increasing the value of productivity from formations can be obtained through natural fracture factors that are essential in supporting the factors that exist in the rock matrix. With the meaning of a matrix system and fractures not overlapping or obstructing each other. The natural fracture lines depicted in the Field X model formation will show the system and orientation direction of natural fractures that exist in the Field X. Fracture intensity is a parameter that is very closely related to the quality of natural fracture in a formation. Of course, regardless of other factors such as porosity, permeability and sigma, which are important properties in fractures. It is hoped that the model form of the distribution of natural fractures in Field X will be able to show the characteristics of the natural fracture reservoirs in the Field X formation and also the existence of natural fracture modeling can be a reference in terms of exploration and exploitation to be able to develop further Field X so that productivity increases and runs optimally in order to minimize negative impacts that can occur both in terms of material as well as from the field of technical aspects.