Ocean Alert has been in port at Beirut for a day or so, reportedly due to weather. It is now back at an area a couple miles west of Damour doing a very tightly spaced pattern in water a little over 100 feet deep.
Live Ships Map - AIS - Vessel Traffic and Positions.
Ocean Alert has been stopped at 33.7441N 035.4084E for the past few hours after doing a very dense path of scans of this area over the past 24 hours. The depth is about 135 feet. Perhaps they now have divers down in this location. It is six or seven miles east of where the FDR & CVR boxes are thought to be located in 4,200 feet of water. Odyssey explorer has deep diving ROV's that are capable of examining and recovering objects from very deep water.
Also, Odyssey Explorer is now approaching Gibraltar which leaves about 2,200 nm to Beirut. It is making a little over eight knots. It will arrive mid February. Position updates will be seen here (when it passes AIS receivers):
Daily Vessel's Itineraries - AIS Marine Traffic.