Upvote:2
It is recommended that you replace a passport which is water damaged, as yours has, even though it contains a new and valid visa. Once that is accomplished, and the cancelled document is cancelled and returned to you, you can travel using both your new and the old passport which contains your valid visa. For your own reassurances, it might be wise to consult with your local US Consular officials, to determine whether the F-1 visa should be re-issued as a precaution.