How long does it typically take for a payment processor or aggregator to settle funds into my account?

Depending on the payment processor, this can be any where from as little as 3 days to 15 days. Most direct acquirers average 7 days, i.e. they will release funds into your bank account on a weekly basis. Other 3rd party payment processors do so on a fortnightly basis. Either way, 15 days is pretty much the accepted limit these das. No one wants to wait more than 15 days to get their money.