Friendly:
Something doesn’t make sense about your description of your scope of work. LNG, by nature and process, is a SATURATED fluid. It does not exist in the process or in storage as a sub-cooled fluid. That means the lowest pressure it exhibits in its vapor space within the confinements of a vessel is its own saturated vapor pressure. Why would you have need for “maintaining the pressurize” (Sic)? The tendency – because the process is not adiabatic and therefore undergoes heat leaks – is for the storage pressure to increase rather than decrease. Of course, if there is considerable liquid draw off, there can be a pressure decline. For that effect, you either recirculate a portion of the pump out or separately vaporize a portion and return to tank. If the pump out is meant for pipeline gas sales, then a portion of that pump out is regulated back to the tank as a vapor. LNG carriers have been designed to used ambient vaporizers to create make up vapor space gas as their tanks are pumped out. Is that what you mean?
The designer and fabricator of the LNG tank is the one who determines the maximum LNG level in the tank. No one else should determine that.
Your idea of the “time required for the gaseous natural gas from the LNG vaporiser to pressurise the LNG tank to the required pressure during the topping up process” is all mixed up. Your tank vapor pressure will INCREASE during the “topping up process”, not decrease. So, why should you be concerned about a vaporizer to pressurize the tank during this time? At the cryogenic temperature you are operating at (-260 oF), only two things will cause your tank pressure to decrease: a venting of the tank or a very rapid liquid pump out. I’ve already explained what is done during the liquid pump out.