Seeing as how you can probably place your portals anywhere, my guess is that it's not a VIS thing at all, but some render-to-texture type stuff. This way, there is no need to alter BSP/walls/geometry in realtime.
Notice in the video how when you place the first portal, you can't see through it until you place the second. The second acts like a camera that shows what the first one sees, and probably the other way around once you get the second placed.
It's probably no different than realtime video screens/cameras that you've seen in many different games, except you can now walk through them.
Shoot, Prey probably does it the same exact way.