hydraulic fracturing models

2d and 3d hydraulic fracturing models solver.

The scripts is aiming to represent the growth of a fracture to its final shape at a specific time. 2D models i.e KGD and PKN which most of the early hydraulic fractures were designed by applying one of these models were analyzed, compared and their equations solved. Moreover a P3D model is modified to give true 3D results. By assuming elliptical growth of the fracture and not the circular growth, a more realistic results generated.