byju,
Your methods of cooling will vary depending on your requirements.
so work those out first.
How much power is being released as heat in your cables? - I2R calculation
Max temp you want to avoid?
Ambient air temperature?
Any other air entry / exit points on your 350m?
Space for any air trunking?
space available at the end for ventilation?
Does the space need to be suitable for personnel for regular access or only occasionally?
At depths of >1m the ground temperature is fairly constant so there is some heat loss into the ground. how much depends on the type of ground, so you need to know that as well - wet ground is better.
You may well need some sort of chilled water AHU and cooling system if you've got 50 cables. I can't see an air driven scheme over 350m being enough air to avoid a high temperature increase at the exhaust end. But then you need to pump out condensate.
Remember - More details = better answers
Also: If you get a response it's polite to respond to it.