The notices cover geophysical work by the survey vessel Kobi Ruegg in the two countries' exclusive economic zones, with Cyprus's window running from 2 to 15 November.
Police say the Limassol-bound tunnel closes daily from 8am to 7pm on 9-13 November, then the Paphos-bound tunnel on 16-20 November, with traffic running both ways through the open tunnel.
Paphos District Court ordered a 22-year-old and a 28-year-old held for six days. A 74-year-old man told police a driver tried to hit him with a car and that two people then threw chairs at him.