Well, sorta kinda. Look at the Sedan crater, which was a test for nuclear mining (which we don't do, for many many many good reasons). It's a very clear crater.

The problem is, that works great the first time, because the gigantic nuclear blast throws out all the material and scatters it over a wide area. The second time, said area includes your first crater. The third time, it includes your first two craters, etc etc.

But most of the stuff will scatter itself over an area that's dozens of kilometers, with parts of it drifting for hundreds if not thousands of kilometers. And ALL of that stuff is radioactive for at least weeks, and to a lesser degree years.