No person shall plug and/or abandon a gas or oil well without first obtaining a permit therefor from the Mayor, the fee for which shall be as set forth in Chapter 208 of the Administration Code (the General Fee Schedule). Upon granting such permit, the Mayor shall mark notice of such fact upon the map provided at the time of the original permit application. Such plugging and/or abandonment of a gas or oil well shall be in accordance with the laws of the State. Such plugging and/or abandonment shall be done under the supervision of a representative of the State Division of Oil and Gas.