Tranceparancies Question......

Okay, got a dosey of a question here.......
I've got this long chainlink fence. Now to make it, I put in planes, UV Mapped one side with the chainlink.png file that I have. then created a duplicate plane facing 180 out on the other side. Tah-dah! Chain Link fence that you can see through!, but not walk through.
Okay, now here is the problem. When I get up close, I can see through the fence, and of course see the chainlink. Yet when I back away, the fence starts to act like a X-Ray window, allowing you to see through the ground on the other side!
I've racked my brain over this, and I'm not sure what would cause that. I'm starting to think I'll have to do away with the chain link and create a different kind of fence. I tried some barbwire, but that made it even worse! Even close up, when you look through the fence, you can see straight through the ground!
Any suggestions?
PS. The ground is a grid plane.
I've got this long chainlink fence. Now to make it, I put in planes, UV Mapped one side with the chainlink.png file that I have. then created a duplicate plane facing 180 out on the other side. Tah-dah! Chain Link fence that you can see through!, but not walk through.
Okay, now here is the problem. When I get up close, I can see through the fence, and of course see the chainlink. Yet when I back away, the fence starts to act like a X-Ray window, allowing you to see through the ground on the other side!
I've racked my brain over this, and I'm not sure what would cause that. I'm starting to think I'll have to do away with the chain link and create a different kind of fence. I tried some barbwire, but that made it even worse! Even close up, when you look through the fence, you can see straight through the ground!
Any suggestions?
PS. The ground is a grid plane.