I can't stop myself now. Oh dear, oh dear.
1500 gallons/hour is 1.84 Litres/sec
Velocity is about 3.5 m/s
I must confess I don't have charts for beer, only water. I'm using my trusty IOP Plumbing Engineering Services Design Guide.
But you won't be using a small pipe, as frictional resistance is going to be huge.
If you used a 50mm (2") copper/steel pipe, the frictional resistance would be 0.02m per metre run of pipe. Tiny you say? Aha, but run that for around 3,000m? You have a pressure drop of 60m, i.e. 6 bar. So you'd need a seriously chunky pump.
Therefore I'd suggest using at least a 76mm (3") pipe, which gives a frictional resistance of 0.004m/m - and a pressure drop of 1.2 bar. I'd have thought that pumping beer too hard might not be good for it, so you might even consider a 4" pipe. After all, the cost comes in digging the trench, the actual pipe is quite a small proportion of that.
To add a further complication, plastic pipe has thicker walls. You might choose to use multi-layer pipe for this job, in which case you tend to go up one pipesize.
Just to be silly, if you used 1" pipe, the frictional resistance at 1.8 L/sec is 0.5m/m. So the pressure drop over 2 miles would be 150 bar.
Bruges has got some steep hills. So it may be that you can just run the pipe downhill. It's certainly a steep walk from the town centre to the station.
I wonder what the risk is of the locals tapping into the pipe enroute?