It counts on what's happening at the time, the oil head and derricks would be wiped out, most likely blown away completely near the epicenter (see the tower that was at the epicenter of Operation: Trinity) and just blown away the further out one goes and some near the edges of the blast being left as twisted wrecks. The fields themselves would either begin to vent off throwing black clouds into the sky (see the results of the Iraqi Army falling back out of Kuwait) or be blown out by the very blast before it even starts. Its also possible that oil will leak to the surface afterword's forming lakes of oil, oil that could be ignited forming great lakes of burning fuel. Radiation would linger which would make putting out the fires an impossibility. In the end time would put out the fires as ready fuel burns out but anything downwind will be covered in layers of soot and radiation for pretty much forever.
That's my guess.
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