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Don't forget that 270kph is the top speed in HS1 tunnels north of Ebbsfleet. Thats faster than 160kph used in the Channel Tunnel.
If you were to dig a cutting a 100m deep without putting in two huge and vastly expensive retaining walls first to hold up the sides during the excavations, to get a safe slope on the cutting sides while you work the cutting would be about a quarter of a mile across. That means moving about 34,000 tons of earth for each metre run of the cutting.
HS2 originally boasted 'futureproof' design for speeds of up to 250 mph. I don't know if that's still the case or whether it's been watered down. Given that the Channel Tunnel has a limit of about 100 mph for safety and operational reasons, any bits of HS2 that are in tunnels are likely to have a speed limit considerably less than the overall governing line speed. So the more of HS2 that's in tunnels, the longer the overall journey times.
it costs about £1.50 for each cubic metre on large projects. You would never dig a cutting 100m deep. where is the world have you seen one of that size. 30m deep is about the max. safe batter would be 1 in 1.5 to 2. you can work out the quantities from that