A few clarifications are in order here methinks.
In an underground mine, it is common practise, indeed a requirement, to use a "dry line" (i.e. you are not allowed to fill the pipe with fuel and then open a valve at the bottom for delivery). You must keep the transfer pipe empty except during the immediate transfer. This is for safety and environmental (risk of spill) reasons.
In essence what we have is a batch tank (Tank A) on surface (say 2000 litres). There is an outlet on the bottom of the tank, with a valve. Below this is a 1.5" dia. pipe that drains to the underground tank (Tank B) located far below the surface of the earth. We open the valve at the bottom of Tank A and the fuel starts to flow down the 1.5" dia. pipe. It is not pumped, it is gravity flow.
The underground tank that jreng1 is referring to is not an UST (Underground Storage Tank). It is an AST (Aboveground Storage Tank) installed several thousand feet below surface, located in an open cavern in hard rock (read granite or dolomite...not soil). The tank will be vented to the local ambient atmosphere. Yes the local ambient atmospheric pressure at depth will be higher than on surface (say 18 psi versus 15 psi), but it shouldn't be significant. A vent pipe back to surface is out of the question, and indeed is not installed on other similar installations. The diesel fuel storage area underground will be ventilated, with the fumes being directed to a nearby Return Air Raise (i.e. ultimately exhausted via a big "rock chimney" some 18-feet in diameter to surface).
Standards and codes have been consulted (what little there is that is applicable - NFPA 30, NFPA 122, CSA standards - in Canada, etc.), but there is nothing that describes the "science" part of these things, only the health and safety aspects which are obviously important, but do not answer the questions.
Putting to one side the diesel fuel and the regulations, codes, and standards, there remains the basic physics of the system: a liquid free flowing down a pipe. You do flow calculations based on Bernoulli's equation and you come up with some anticipated flow rate (in fact the fluid reaches a "terminal velocity" based on the falling fluid being impeded by friction in the pipe). However, the equation ASSUMES a full pipe (i.e. filled with the liquid). The question remains: is this a valid assumption? Does the air get pushed down the pipe into the tank and out the vent? Or does the air bubble back up through the liquid, and out through the vent in the upper tank?
The has come up because of what some other mines with similar systems report, namely that when the valve is opened, the line "bubbles and gurgles" and drains slowly, then after a period of several minutes the flow picks up and it drains much more rapidly. We are trying to establish the science/physics of what is going on.
This seems like an elementary problem at first glance, but oddly enough, calculations, discussions, research, consulting of fluids texts, etc. have not produced answers.
We have contacted Chemical Engineering magazine to locate the article katmar describes (Thanks!) and we're trying to "get back" our copy of the Chemical Engineer's Handbook (having had it pilfered from our library).
Hope I didn't bore you all with these details, just trying to outline the background for the simple question asked by my colleague.
Cheers,
CanuckMiner