A global oil glut has tanked prices and cut profits—so why won’t Shell give up on the north? ... geologists believe that beneath Burger J—70 miles offshore and 800 miles from the Anchorage command center—lie up to 15 billion barrels of oil. An additional 11 billion barrels are thought to be buried due east under the Beaufort Sea. All told, Arctic waters cover about 13 percent of the world’s undiscovered petroleum, or enough to supply the U.S. for more than a decade, according to government estimates. ... Surprise lurks in the Chukchi, whose frigid waters north of the Bering Strait span from Alaska to Siberia. Logistical and legal obstacles have repeatedly delayed the Arctic initiative, on which Shell is spending more than $1 billion a year—more than $7 billion so far and counting. The single well in the Chukchi Shell aims to excavate this summer could be the most expensive on earth, and it hasn’t yielded its first barrel of crude. ... Shell’s Scenarios group, an in-house think tank that management points to as an emblem of its open-mindedness, has done extensive work undergirding the company’s support for government policies encouraging development of renewable energy sources, she says. But the Scenarios research also justifies aggressive exploration for more crude. With the global population rising from 7 billion to more than 9 billion by 2050 and total energy demand nearly doubling ... Most of the world’s “easy oil” has already been pumped or nationalized by resource-rich governments, Pickard says, leaving independent producers such as Shell no choice but to pursue “extreme oil” in dicey places.