Oregon Revised Statutes Public Lands § 274.937

(1) Whenever an individual, in accordance with ORS 274.920, creates new lands upon submersible or submerged lands owned by the state, such individual has the right to purchase the new lands as provided in this section. The individual shall pay to the Department of State Lands for the new lands the value of the state-owned submersible or submerged lands upon which the new lands were created immediately prior to the creation of the new lands thereon and a reasonable portion of the private benefit realized from the creation of the new lands as an addition to the adjoining or opposite upland in front of which the new lands were created. The individual shall also pay to the department for the new lands the administrative costs incurred by the department with respect to the new lands. If the individual fails to make payment for the new lands as provided in this subsection within six months after the date of the notice by the department, the department may dispose of the new lands as provided in ORS 274.915.

(2) If an individual and the department cannot agree on the sum to be paid for new lands under subsection (1) of this section, the sum to be paid shall be determined by three appraisers, one appointed by the individual, one appointed by the department and the third appointed by the first two. The determination of the appraisers shall be final. The cost of the third appraiser shall be borne equally by the individual and the department.