How could a tube run from an underground cave to an orbiting satellite?
It’s just a show, you should really just relax. The concept was introduced to allow more interaction between Deep 13 and the SOL. For the record, the umbilicus/con/port was supposed to be 227 miles long. The writers at BBI once calculated that for an object to travel from Deep 13 to the SOL in 10 seconds, it would be traveling at 82,000 miles per hour!