In NIST standard (NIST SP800-57), the bulk data encryption key and other key material that is used frequently have a short lifetime. As quoted from (Sec. 5.3.6, point 6.b.):
The originator-usage period recommended for the encryption of large volumes of data over a short period of time (e.g., for link encryption) is on the order of a day or a week. An encryption key used to encrypt smaller volumes of data might have an originator-usage period of up to two years.
Also, more generically, in Sec. 5.3.1. Factors Affecting Crypto periods, it stated in fifth entry:
The volume of data flow or the number of transactions;
I do understand that, intuitively, the more a key is used for an operation, the more "information" about that key in this operation is revealed. But I can't figure out a more concrete rationale behind it. Since such consideration is for rather generic (does not seems to be based on the property of a specific key type). I wonder if there is any generic / theoretical framework describing how using a key reduces the "reliability" of its secrecy?