first of all: dont let BP dril in your back garden...
call Harry S. Stamper. he and his team have stopped the whole asteroid on its steps to Earth, so i think, one small oil rig should be piece of pi*s for them...
i have no idea, hows that drill done, but drilling another one, to ease the pressure seems to be a good idea. also, they could pump down a lot of mud to stop it from leaking...