In addition to the privilege and license tax, before commencing the drilling of an oil or gas well or stratigraphic test well or core hole, a person shall secure from the board a drilling permit and shall pay to the board therefor the following amounts:
(1) for each well whose estimated depth is 3,500 feet or less, $25;
(2) from 3,501 feet to 7,000 feet, $75;
(3) 7,000 feet and deeper, $150.