Voronoi Polygons have been used in mining to estimate the reserves of valuable materials, minerals or other resources. Exploratory drillholes are used as the set of points in the Voronoi polygons
Interesting idea, but I don't see why they'd then construct a huge set of roads to connect every vertex. Or why they'd drill that many drillholes in less than a square km.
http://en.wikipedia.org/wiki/Voronoi_diagram