Early in the afternoon of August 5, 2010, more than 700,000 metric tons of rock suddenly caved in, blocking the central passage to the tunnels in the San José copper and gold mine in Chile’s Atacama Desert. Shaken miners close to the entrance soon made their way out, but 33 men working deep underground were trapped beneath some of the hardest rock on the planet.

A version of this article appeared in the July–August 2013 issue of Harvard Business Review.