Systems, methods, and computer-readable media are provided for modeling a fractured medium. The method includes generating, using a processor, a grid for the fractured medium, the fractured medium defining a first fracture and a second fracture, with the first fracture and the second fracture each represented by fracture cells in the grid. The method also includes determining a location where the first and second fractures intersect, the location being at least partially represented by an intersection cell of the fracture cells of the grid. The method further includes redistributing areas of the intersection cell and at least one other fracture cell, such that a size of the intersection cell is increased.