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Trains are at a standstill on the Cumbrian Coast line while safety checks are carried out on the track.
Train operator Northern Rail says delays are expected along the length of the line between Carlisle and Barrow until around 1pm.
There are major delays to trains arriving and departing Carlisle station due to signalling problems between Glasgow and Lockerbie.
Virgin trains say they have requested coaches to replace services.
Rail services between Carlisle and Lockerbie are delayed, because of a fault with the signalling system between Carstairs and Lockerbie.
The fault is thought to have been caused by the bad weather sweeping through the region.
Disruption is expected to continue until around 12pm.
People travelling south of Cumbria by train are facing delays of up to an hour.
It's due to a train fault between Lancaster and Preston, and southbound services are expected to be affected until around 12pm.
Replacement buses are conveying passengers between Preston and Lancaster in both directions until further notice.
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Network Rail are warning that services across the UK will be affected, including trains through Cumbria and the south of Scotland.Read the full story ›
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All rail routes North of Carlisle are now open for normal service.
The routes were initially closed due to damage to a viaduct north of Carlisle station and were not expected to reopen until 2 January.
For more information, visit National Rail website.