I guess it depends on your idea of "successful" as I really don't think someone being forced to stay in a marriage because of the culture they live in, as being a success. Just like if a woman in the western world doesn't leave their husband (so they stay married) for fear of physical abuse, I don't call that a successful marriage either.
Where did I say "forced" - a very small percentage of arranged marriages are "forced."
Reasons why there are less divorces in arranged marriages are usually because both parties don't have high unrealistic expectations of each other that people can get when they start dating, only to find out the treatment changes after they get married or to avoid abuse like you suggested.
And just like women in arranged marriages think twice about leaving because of the cultural taboo that they will be considered "divorce" many women in non-arranged marriages don't leave either but because they are worried about whether they will be OK financially.
However you look at it there's no evidence to say that non-arranged marriages are happier or more succesful. The numbers actually suggest arranged marriages are more succesful, but I can look at the cultural influences on that as well.