Does blockchain inherently require more mining power as time goes on, or is this only the case with cryptocurrency to incentivize miners to process the blocks?

I am asking because I hear a lot about using blockchain technology to facilitate a decentralized ledger for companies/international trade/etc, but I am confused as to how this would work if, as time goes on, it requires an increasing large amount of resources for the user base to continue the chain.

Submitted December 30, 2015 at 12:57AM by WayyyCleverer http://bit.ly/1OiWjzz