The rate at which you gain new links to your website is known as link velocity. Now the question is that how much link velocity is considered as fair (natural) , to start with in initial days and after few days?
I think start it slowly few links per day.... 10 links I think is enough....Because acquiring links fast per day is bad....Google notice those acquiring more links...
see this one http://www.digeratimarketing.co.uk/2007/04/19/dominating-serps-with-better-link-velocity/