Latest media statement from Emirates reports an eight hour network delay.
But because so many passengers flying to/from Dubai will be in transit there will be cases where the delays are far greater.
There are reports coming in that some Emirates flights, which have departed from overseas points for Dubai, are having to return to their departure point.
The two cases I have seen are flight EK54 (an A380) which departed Munich (for Dubai) but had to return to Munich. And EK377 (also an A380) which left Bangkok, only to return.