Those with long memories will recall a series of double engine failures on takeoff on BOACs VC10s in the 1970s, caused by debris from one failing engine entering the (very) adjacent one. All survived. Various flight profiles were tried out and later taught in the simulator to deal with such an event. Acceleration and clean-up at the expense of all else is the key. It says much for the Captain of the first one that he worked it all out as he went along.