Drilling and completion account for a significant portion of development of oil and gas fields. Since the introduction of rotary drilling, the method of drilling of deep petroleum wells has not drastically changed. With the advanced laser capabilities of the 21st century it seems necessary to fully inveitigate the possibility of Laser drilling or Laser-assisted drilling methods. This paper describes a set of experiments on different carbonate rock samples that were irradiated by different types of thermal setups, namely C02 laser and Plasma torch. The results are then compared to a numerical model that was developed using a Mathematica code. Copyright 2014, Society of Petroleum Engineers.