Initially, companies were closing facilities in Corpus Christi, but the latest closings were on the Houston ship channel.
How long the shutdowns will last wasn't clear Sunday US time.
Craig Pirrong, professor of finance and director of the Global Energy Management Institute at Bauer College of Business at the University of Houston, said in an email that it was "too early to tell re oil and gas. Gulf operations shut down, and they won't be able to assess until they go back. Refineries should be OK as long as they have power."
He said that "with most people and companies hunkered down, it's hard to get a comprehensive picture."
Petrochemical refineries were also closing, which will likely dent the economy over the next week. Chevron planned to shut down its Cedar Bayou facility through Sept. 6 because of the storm, according to PetroChem Wire.
"You're knocking out a significant portion of production with one event," said Kathy Hall, executive editor of PetroChem Wire. "A lot of these plants are very complex."
She added that "you can do this in a 24-hour period, but you don't want to wait for the storm to hit the plant."
Harvey was also putting a damper on shale oil and shale gas drilling in the Eagle Ford shale play, a strip of lucrative wells at the northern edge of the storm. About 75 exploration rigs that had been drilling there last week have been idled, too.
Shell spokeswoman Kimberly Windon, working from home in a Houston neighborhood damaged by tornadoes, said Sunday afternoon that the company had closed its offices and was shutting down the sprawling Deer Park refinery and chemical plant, which is along the Houston ship channel. About 2,500 ships are loaded or offloaded there every year. About 1,500 Shell employees and about 1,200 contractors work there.
ExxonMobil said it was shutting down the Baytown complex, one of the nation's largest oil and petrochemical refineries. The complex, on the Houston ship channel 25 miles east of Houston, employs about 7,000 people. Shutting it down takes about a day.
Valero, the nation's largest oil refiner, closed its Corpus Christi and Three Rivers refineries. The company was also helping employees from the hard-hit Rockport area, putting many of them in hotels.
Flint Hills, a Koch brothers company with refineries in and near Corpus Christi, had closed its facilities earlier. "We are in the process of assessing the condition of our Corpus Christi refineries following Hurricane Harvey," spokesman Jake Reint said in an email. "Based on what we've observed so far, the two refineries appear to have not sustained any major damage."
It remains unclear how markets will react Monday. Crude oil prices could remain stable. Cuts in output offshore in the Gulf of Mexico and onshore in the Eagle Ford shale play that would reduce supplies have been outweighed by the idling of refineries.
But gasoline prices, which rose last week, could jump further.