Is it me or have most people here missed the point? All the talk of military intervention is pointless, it won't come to that. That's not to say non-military means won't be potentially highly damaging to British interests though.
If the Argentinians decide not to give a permit to any oil exploration ship and impound any ship without a permit, the oil is worthless in the ground. We can't just send the navy in, how would that look to the international community?
This is a battle for the diplomats, not the armed forces.