..... There is none! The Vasari scout ship (Jikara Navigator) is suppose to be able to seek out mines and destroy them. I remember reading how flack ships (Junsurak Sentinel) are also now suppose to help in clearing these mines, this I have yet to see for the Vasari.
The issue is that Advent mines are homing, and by chance there range of seeking is exactly the same. So as soon as my scout ships get close enough to destroy the advent mines, the mines are starting to go towards my scout ship. This wouldn't be so bad if my scout ships didn't have such pathetic fire power or if flack ships would actually fire at the mines when the scout ships make them vulnerable, but I'm not noticing such actions (no, there are now hostile fighters around).
This goes without saying, I do love entrenchment and sins as a whole, but I find this rather frustrating as something that is suppose to work one way but instead doesn't. My solution to this problem is now to build mass swarms of scouts ships, send them into hostile minefield as a sacrifice, with the armada following shortly.
I have not as of yet seen how scout ships worked against stationary mines, but the advent AI scout ship didn't seem to have much problems clearing my mines. 
If anyone has any suggestions on how to clear advent mines will little to no micro management, I would love to hear it.
Also, please fix my right click button, in game it almost always thinks I'm right lcicking twice. Yes, it's the game, not my mouse. 