Is Friday prayer and Eid prayer obligatory for workers in an oil field far from the nearest populated area, who alternate their stay between the field and their distant homes, given the presence of a large mosque in the field and their fear of missing congregational prayers or openly declaring the impermissibility of Friday prayer?

Friday prayer is obligatory in cities and villages, but not for travelers or Bedouins. Oil fields in the desert have two scenarios: 1. If the workers' residences are newly built, with a large number of workers and a mosque, then they take the ruling of villages, and Friday prayer becomes obligatory there. 2. If the residences are temporary and not inhabited by a large number of people, then they do not take the description of a village and have the ruling of Bedouins, so Friday prayer is not established there.

Eid prayer is a confirmed Sunnah (definition) and not obligatory, and it is performed in the same place where Friday prayer is performed.