Desperate oil workers and criminals are also stripping the oil company of vital equipment, vehicles, pumps and copper wiring, carrying off whatever they can to make money. The double drain — of people and hardware — is further crippling a company that has been teetering for years yet remains the country's most important source of income.

The timing could not be worse for Venezuela's increasingly authoritarian president, Nicolás Maduro, who was re-elected last month in a vote that has been widely condemned by leaders across the hemisphere. Prominent opposition politicians were either barred from competing in the election, imprisoned or in exile.