EDIT (04/23/21): This achievement has been patched, so the easy unlock is no more.
Ok, so as of right now, apparently this one is glitched and you can get this one by entering the level on NG+ and just running out of water, as attested to by Kevas048. However, I'm assuming that this may be patched at some point. If that happens, here's how to get it "legit," so to speak.
A few things that you need to know to get this one.
1. If you get right up next to a turret, it will tilt up and be unable to hit you (usually). So there's basically a safe zone for each turret. This is especially useful in the top right room and with the final turret.
2. The hitbox for the turrets' detonation buttons is bigger than it looks, which is helpful in the top left room. (Or perhaps when you Thunder, the size of the explosion is so big that you don't need to be directly on the button to detonate the turret. Six of one, half dozen of the other.)
3. Turrets can destroy each other. I found this extremely helpful in the top right room.
4. You don't have to destroy all the turrets for this achievement. I popped it only destroying 10/12.
You shouldn't need assistance for the bottom two rooms. I'll go through each of the three top rooms.
Top left room:
Charge on in and before the first turret can get off a second volley, zap just below the button. By zapping just below the button, you'll stay protected from the left turret. Hit the left turret and the bottom right turret. The next part is a little tricky. Draw fire from the bottom turret without triggering the top one. Quick go zap the bottom turret then pull back. After the top one fires again, charge in and get next to it so you can take your time zapping it. You don't have to destroy the last one, but doing so is more reliable than just running in for the switch. Plus, that last turret is a PITA, and it doesn't deserve to live.
Top right room:
Ok, so in the right room, you can get in and out without destroying any turrets, but you'll draw fire from all 4, and in my experience trying it that way, you'll end up with about a 25% success rate even with a lot of practice. I finally figured out that the easiest way to get this room is to destroy the bottom two turrets. After the first shot from the bottom left turret, get right up next to that turret's left side. It will tilt up and won't hit you, while the bottom right turret will take it out for you. Avoid the bottom right turret's next shot and zap it. Then go up to the switch (don't stop moving until the top right turret's shot misses you), then just go back down and out.
My best advice here is just don't stop moving. Get the oil, and starting from the top right canister, link all four canisters with oil moving clockwise. Then between shots, snuggle up to the middle turret so it can't hit you, and take your time surrounding it with boom juice. After some fireworks, the achievement will unlock.
Here's a video guide: