Looking at the official FIA sporting regulations document listed on the FIA site, there's not a specific set of procedures for the scenario that you are painting.
But if this scenario were to happen, it would be at the discretion of the race director on the day to either keep the practice/race going, or Abort/Red Flag the session.
The logical option would be to follow the same procedures to restarting a wet-weather session.
Here are some steps that may be taken as per the Sporting regulations document:
4.4.6 Should it become necessary to stop any practice session because the circuit is blocked by an
accident or because weather or other conditions make it dangerous to continue, the clerk of the
course will order red flags to be shown at all marshal posts and the abort lights to be shown at the
When the signal is given to stop all cars must immediately reduce speed and proceed slowly back
to the pit lane. In order to ensure that drivers reduce speed sufficiently, from the time at which
the “RED FLAG” message appears on the official messaging system until the time that each car
crosses the first safety car line when entering the pit lane, drivers must stay above the minimum
time set by the FIA ECU at least once in each marshalling sector (a marshalling sector is defined as
the section of track between each of the FIA light panels).
All cars abandoned on the track will be removed to a safe place.
At the end of each practice session no driver may cross the Line more than once.
I also think that section 4.8.14 (c) of the sporting regulations may also apply during the restarts, but it's too long for this post, so I've added a link to the 2022 sporting regulations below.
2022 FORMULA 1 SPORTING REGULATIONS