US oil's new 'Big Three' form million barrel club By: CNBC.com News July 27, 2014 at 09:00 AM EDT The Bakken, Eagle Ford and Permian Basin are generating more than a million barrels of oil per day each, a third of total U.S. daily oil production. Read More >> Related Stocks: Chevron Corp ConocoPhillips Exxon Mobil Occidental Petroleum West Texas Resources Inc