The water of underground streams, channels, artesian basins, reservoirs or lakes, having reasonably ascertainable boundaries, is declared to belong to the public and is subject to appropriation for beneficial use. By reason of the varying amounts and time such water is used and the relatively small amounts of water consumed in the watering of livestock; in irrigation of not to exceed one acre of noncommercial trees, lawn or garden; in household or other domestic use; and in prospecting, mining or construction of public works, highways and roads or drilling operations designed to discover or develop the natural resources of the state, application for any such use shall be governed by the provisions of Sections 72-12-1.1 through 72-12-1.3 N.M. Stat. Ann..