Some teams have already booked their place in the last eight, while spots are still up for grabs in other pools.
Both England and France are through to the quarter-finals but their clash to decide who progresses as group winners has been cancelled due to Typhoon Hagibis.
Cancelled games are registered as scoreless draws with each team awarded two points.
It means England finish top of Pool C ahead of the French.
Scotland can still book themselves a place in the knockout phase.
Gregor Townsend’s side are third in Pool A and need to beat leaders Japan on Sunday, potentially relying on bonus points.
However, their match is also at risk of being called off due to the typhoon.
If second-placed Ireland beat Samoa, such a scenario would see Scotland eliminated from the tournament as the weather-enforced two-point haul would not be enough.
A Scottish Rugby spokesperson said: “We are in regular dialogue with World Rugby at all levels to work to ensure our fixture against Japan on Sunday can be played as planned.
“Public safety is the clear priority.
“Scottish Rugby fully expects contingency plans to be put in place to enable Scotland to contest for a place in the quarter-finals on the pitch, and will be flexible to accommodate this.”
The first set of quarter-final matches will be played on Saturday, October 19.
The quarter-final phase will conclude the following day.
The full schedule is presented below, including for the semi-finals and final (all times BST).
Saturday, October 19
Quarter-final 1, 8.15am: Pool C winner vs Pool D runner-up (Oita)
Quarter-final 2, 11.15am: Pool B winner vs Pool A runner-up (Tokyo)
Sunday, October 20
Quarter-final 3, 8.15am: Pool D winner vs Pool C runner-up (Oita)
Quarter-final 4, 11.15am: Pool A winner vs Pool B runner-up (Tokyo)
Saturday, October 26
Semi-final 1, 9am: QF1 winner vs QF2 winner (Yokohama)
Sunday, October 27
Semi-final 2, 9am: QF3 winner vs QF4 winner (Yokohama)
Friday, November 1
Third-place match, 9am (Tokyo)