Asked last week whether the leaks were tied to the spray-on concrete, the authority’s chairman, Thomas F. Prendergast, said an investigation by an independent engineer would examine the issue.

“It is essential that we let the world know that conditions like that are unacceptable for a project of that significance and that importance to the City of New York,” Mr. Prendergast told the board last Wednesday.

For now, the leaks continue at the Hudson Yards subway station. Yonkers Contracting will pay $3 million for a different subcontractor to make what the authority hopes will be permanent repairs, the agency said.

At the same time, the authority is facing a lawsuit from a subway rider who said she and her mother fell down an escalator at the station last month after moving to avoid water dripping from above. Meng He, 29, who lives near the station, said the women felt drops hitting their heads as they rode the escalator up to the ticket-booth area. Her mother shifted her body to the side, letting go of the handrail and falling back into her daughter, Ms. He said.

“I tried to push her back up, but there was too much momentum, and we went tumbling down,” she said.

Ms. He says she injured her right foot and ankle and has had to use crutches. Her lawyer, Robert W. Georges, notified the authority that she planned to sue, claiming it should have fixed the hazardous conditions at the station.

At the authority’s board meeting last week, Michael Horodniceanu, the president of capital construction at the agency, said officials had known about the leaks since 2012. Officials thought the leaks were fixed, he said, but they kept reappearing. Despite the problems, Mr. Horodniceanu said the station was safe.