I have a series of 30m buffers along a polyline (river). Within each buffer I have a series of points each point represents a 10m x 10m cell with an elevation value known as "Elev".

I want to find the one point with the minimum elev value within each buffer and output it as a point file. In a future geoprocessing set I'll like to snap this point back to the river.

ArcGIS 10.1, arcinfo license.