SuPrBuGmAn
Contributor
I was down in Florida doing the Cavern and Intro course last week. I generally dive with double tanks. All training was restricted to 1/6th of air supply. I was required to perform a valve drill on the doubles.
My TDI Intro C-card requires me to "reserve 2/3 of air supply to exit". Per my instructor TDI will allow me to dive thirds on the doubles. This differs from NSS-CDS and NACD which restict to 1/6th.
You are mistaken or your cave instructor is wrong. TDI doesn't have a doubles or single specific card, but the Intro level of their training only qualifies you for 1/6th penetration gas from a set of doubles(or 1/3rd of a single). It is exactly like NSSCDS and the NACD equivelants. Read your book, its all spelled out clearly there.
TDI Cavern and Cave Fundamentals 1998:B. Limitations for Introductory Cave Diving
1. Limited penetration distance, one-third of single cylinder(or equivelant)
The "(or equivelant)" allows for doubles, but not increased penetration.
The last day of training was at Peacock. Once I was certified the instructor and I stayed on an extra day at Peackock and did a fun dive (main line to Olsen and back) and applied thirds to gas planning.
Your instructor is allowed to dive you up a level.