Auditing database administrator actions with SQL Server 2014 Standard
If you only need to track database access, maybe collecting schema stability locks with extended events is enough. 

I blogged this idea last week for a totally different reason  (tracking unused objects) but the script can be adapted to fit your needs. You can find it here. 

Basically, it reads an extended events session using the streaming api and then saves summary information in a table at regular intervals. In your case you need the individual events and probably the sql text as well. It really depends what you're trying to achieve. Maybe a simple and plain file target is enough.