Dealing with large log files
If the database is truly static in nature, putting it into read-only mode would prevent log growth.  The queries that are causing the growth would fail however, so this might not actually be what you are looking for.

Put the database into simple recovery mode.  That way the transaction logs will be routinely truncated.  When in full mode, your logs will continue to grow until they are backed up.

USE [master]
GO
ALTER DATABASE [YourDatabase] SET RECOVERY SIMPLE WITH ROLLBACK IMMEDIATE
GO