Steve,
 
I ran across the exact same thing trying to solder a 24" x 24" Kollmorgen Mutiwire .100 thick with lots of 2oz ground planes and lots of PGA's.
 
I went out and rented (at a fairly steep price in the mid 80's) an IR thermography system and watched those puppies go through the process while I modified the parameters (one at a time, of course) and the most significant effect was observed in the wave. So, being the cavalier "damned the torpedoes" kinda guy, I tried turning on the chip wave and speeding up the conveyor a bit. Lo an' behold... it worked, and I have the video to prove it!
 
Seems "bumping" the thermal mass with the chip wave followed by the "equillibrium time" in transit to the smooth wave was enough of a boost to overcome the ground plane sink effect.
 
Using the video I finally convinced Design Engineering to evaluate some enhancements for ground plane thermal relief patterns. This would only work if you have design control over the PCB, tho.
 
Let me know if it works!
 
 
Ed Popielarski
QTA Machine
10 Mc Laren, Ste. D
Irvine, Ca. 92618
 
Ph: 949-581-6601
Fx: 949-581-2448
 
http://www.qta.net
 
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