Wyo. Stat. § 41-12-206
Any person, entity, or state shall have the right to acquire necessary property rights in another state by purchase or through the exercise of the power of eminent domain for the construction, operation and maintenance of storage reservoirs and of appurtenant works, canals, and conduits required for the enjoyment of the privileges granted by W.S. 41-12-205 and 41-12-207(a); provided, however, that the grantees of such rights shall pay to the political subdivisions of the state in which such works are located, each and every year during which such rights are enjoyed for such purposes, a sum of money equivalent to the average annual amount of taxes assessed against the lands and improvements thereon during the ten (10) years preceding the use of such lands in reimbursement for the loss of taxes to said political subdivisions of the state.
W.S. 41-12-206