Woods shot a 1-under 71 in the second round and is at 8-under 136, one stroke ahead of Damien McGrane, who shot 3-under 69 on Friday and is at 7-under overall.
Stiff winds gusting to 30 mph blew up sandstorms throughout the day.
"It was a tough day all around," Woods said. "It's just the way it is. You have to be committed. You have to be patient. You can make a great swing, do everything right, get a gust and look like an idiot."
Woods played the first round without a bogey but didn't get past the first hole Friday before dropping a shot. He made that back on the par 5 third hole and used five pars and a birdie at No. 7 -- dropping a 25-foot putt -- to be 1-under at the turn.
Woods also bogeyed Nos.12 and 15 but closed fast with birdies at 16 and 18 for his 71.