In reality, you would have a few things going on.
(1) Withdrawing gas will reduce the pressure.
(2) Adding LNG (liquid) will increase the pressure.
(3) Adding LNG (gas) will increase the pressure.
(4) All the time, there is thermal interaction with the environment... heat ingress and heat loss.
I suspect that if you model heat transfer to the environment, you'll find that taking gas off the top of your tank will drop the pressure, cause more LNG to vaporise, which will lower the temperature. The lower-than environment temperature means that heat will come in from the environment (through the tank wall), warm up the tank, causing vaporisation of some of the contents, restoring the pressure in the tank.
Have I missed anything significant?
So, you could counter the loss of pressure through points 2, 3 or 4 above.
For what you want to do, I think you are looking at a combination of points 3 and 4, since you are unloading. Regasified gas seems sensible.
Edited by Steve McGahey, 28 January 2010 - 06:51 AM.