(a) A lessee may relinquish his lease to the state at any time by recording the relinquishment in each county in which all or part of the leased area is located.
(b) Within 90 days after the execution of the relinquishment, the recorded relinquishment or a certified copy of the recorded relinquishment together with a filing fee set by the commissioner in an amount not less than $5 shall be filed in the land office.
(c) After the lessee relinquishes the area, he is relieved of any further obligations to the state, but the relinquishment does not release the lessee from any obligations or liabilities previously accrued in favor of the state.