Delhi airport has three terminals, of which T1 is used by low fare carriers for domestic operations and terminal-3 (T3) by full service carriers, foreign airlines and LCCs' worldwide operations.
IndiGo wants a quashing of directions set out in Delhi Airport's letters asking it to shift "part" of its flights.
The Gurgaon-based airline also said that it has raised the issue of birds and wildlife endangering the safety of the passengers as well as the flight operations, with the Visakhapatnam airport authorities.
On the issue of shifting of operations by airlines from T1 to T2, Civil Aviation Secretary R N Choubey said the ministry is still working out a common ground.
IndiGo has refused to partly shift operations saying it wants to handle all domestic passengers either at T2 or T1.
The writ is likely to come up for hearing on Wednesday, IndiGo said.
Two days after the incident, the airline on Monday claimed that the mishap happened due to a crack in the floor at the airport, drawing retort from the Airports Authority of India (AAI) which said that the incident happened because of "gross negligence of IndiGo staff". "IndiGo has gone to court and no stay has been given (so far)", he told reporters here. The airlines also issued pictures of the fix work at the tarmac.
Delhi Airport spokesman confirmed the move but declined comments as the matter is sub judice.