A mature elk can eat 20 pounds of food per day. Multiply that by herd size. If the herd has ten animals they need to eat 200 pounds a day. As they eat the available food in one area, they need to move to find more food.
If there is no pressure, elk often move in repeatable pattern that recurs every three to four weeks which allows time for the food sources to regenerate. I know someone on the west side who had elk on her property, and she said they came by every 17 days. Could be.
Add pressure and the elk will move away from the pressure - steeper/deeper country, private land, etc. They can easily move five or more miles in a day to a different location for food or shelter.
The chances of finding elk in the same spot during hunting season that they were before the season is generally pretty small.