I discussed a master's thesis at the College of Engineering at the University of Basrah (kinetic and thermal analysis of vertical perforated wells)

It dealt with the research presented by the student Haider Sami Muhammad

Study of three cases in vertical wellbore with or without drilling, vertical borehole punched with porous media and vertical wellbore without porosity and with convection

The effect of well bore diameter, hole density, length, hole diameter and permeability surrounding the well bore at different flow rates and mass velocities on pressure drop, average wall shear stress and productivity index was studied. In a three-dimensional turbulent flow model with the use of the appropriate turbulent flow model

The thesis aims to analyze the pressure drop, productivity index, and heat loss in vertical wells, where the pressure drop is one of the important factors affecting the productivity index.

The thesis concluded that the pressure drop increases with the increase in the length, density and diameter of the holes. Also, the phase angle of 60 degrees with helical distribution is the least pressure drop than the other 24 perforating phase angles for all holes angle and with different density.