Total has flown in 10-20 specialist engineers to tackle the leak and enlisted the services of Wild Well Control, which was heavily involved in the BP's Deepwater Horizon oil spill in the Gulf of Mexico in 2010.
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Scotland Yard said the male youths will appear in custody at Westminster Magistrates' Court on Saturday.
Windy this weekend with gales across northwestern parts of the UK. Rain spreading southeast.
Greater Manchester Police said "inquiries are ongoing to fully understand the circumstances of the incident."