Dogs can easily breech invisible fences. It merely takes desire. We have three dogs in my neighborhood who laugh at their invisible fences daily. Just so you know. We had huge fights with our neighbors when we brought home our Chessie three years ago. We wanted a cattle ranch=type fence , which is virtually invisible, but the neighbors said no, "get an invisible e-fence". We didn't want this. In our mind, our problem was not so much our 10 week old puppy escaping, but the other dogs coming over to visit and inpregnating her. Luckily the winter came, and we were very vigilant. The spring came. Our puppy grew to 50+lbs. We hired a trainer. She was placed on an "E-Collar Technologies" 855-326-5527 collar and we kept an eye on her when she was outside. I would recommend that you do the same. It will take about 4 months of keeping a keen eye and then less and less. Now, she has the roam of the neighborhood, and stays within 5 acres of our home which is our open space. Since that time, two of the HOA dickheads who refused us a cattle fence got lab puppies of their own and placed e-fences. Those dogs are in my yard on a daily basis, but Hazel continuously keeps them in line.
This is the type fence I wanted, with a solid bottom 8".

My yard:

Hazel with Sheldon...she loves to play like this with the neighbors dogs, too
“How does it feel to be the greatest guitarist in the world? I don’t know, go ask Rory Gallagher”. — Jimi Hendrix
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