From my standpoint of looking at job situations, usually the trouble is not an even on going thing. Usually it is spring of the year and sometimes after a rainy few days. Then, in excavating we see saturated ground, several feet high in the area. Actual water table, usually called "perched" may be to the top of that saturated ground. From experience, if we left the hole open, the water may stabilize in a few hours, or in more cohesive soils it may take days.
From a home owner's perspective (I am one), any water is no good and I don't want it. So, I then take efforts to prevent that happening again. That has been done on two houses I owned and also has occurred where clients have the problem. No one wants to wait it out.
If you want to get scientific, I would have to takeseveral test borings, leave observation wells in several places, run soil gradation tests and permeability tests on representative samples in the lab. Then I would prepare a flow net diagram to explain the water tables and the flow of that "ground" water, even if it is perched. Such a study could be done, but I have only done it for examining the flow situation of water seepage at sanitary landfills and earth dams. The expense for such as study would be many times the cost of digging out the failed system and doing it correctly. We can make a judgement on site by looking at what is available and be close enough. However, then what do we do? Usually I recommend replacing a failed system. Also, I have added the ground surface waterproofing thing where that may appear useful. Sometimes that is all that is needed. On one of my houses (and several jobs) only the ground surface waterproofing was needed. If you have not searched for that in previous threads, I can go through that here. I probablyshould keep a copy on file for these occasions.