Fridge Logic: Often tends to crop up when things deemed unnecessary to the flow of the story are ignored by the writers. For example, it is never explained where a fifteen year-old boy who had slept with dozens of hookers was getting the money for the high-priced call girls he was seeking out.
It's implied his family is at least well off. He proably has a trust fund or something, like every other teenage suspect on SVU.
Also, Ariel is a genderless character in Shakespeare's The Tempest, who has been played by both men and women.
Elliot Stabler frequently bends or outright breaks the law to torture suspects (who more often than not turn out to be innocent and are often killed as a result of this), but for some reason the only thing that's brought up to internal affairs is the fact that he sometimes wishes rapists would die.
Fridge Brilliance: Cragen's Limited Advancement Opportunities (he's been at the same rank for almost 25 years) makes a lot more sense if you recall that, at the end of the first season of the mothership, he helped send the guy who had gotten him all his previous promotions to prison for corruption.