The report focuses on the impact of sea level rises on the Dawlish to Teignmouth line which connects Cornwall and Devon to the rest of the UK.
The line was closed for two months in 2014 after it was destroyed by storms.
Network Rail said the study would be "key" to long-term developments.
The report, published in the Journal of Transport Geography, said that 10% of journeys on the line, which was rebuilt and reopened in April 2014, could be affected by 2040.
The report said adverse weather disrupted the line about 10 days per year, but according to sea-level predictions that could rise to almost 40 by 2040 and up to 120 by 2100.
Academics from Plymouth University, the University of Leeds and the University of York identified a link between sea-level change and rail incidents over the last 150 years.
The academics said there could be similar implications for other vulnerable stretches of railway throughout Wales, south-east England, the Cumbrian coast and Scotland.
Dr David Dawson, from the University of Leeds, said the long-term future of the line was "really worrying".
The report predicts diverting routes could potentially cost billions of pounds.
Network Rail said it hoped to develop "long-term interventions" to "secure the future" of the line.
The Department for Transport said it had invested Â£31m into improving the resilience of the route and was "exploring the potential for longer-term improvements in the area".
In January, the prime minister backed a new Okehampton railway route as the "most resilient" alternative to the vulnerable Dawlish line.

The Taylors will, we are assured, make "quite an entrance" when they arrive in Albert Square this summer, giving the resident Walfordians "a rude awakening".
EastEnders executive producer Sean O'Connor describes them as "noisy and brash" who "lack cash" but "have love and warmth in spades".
The announcement has split opinion among fans on the soap's Facebook page, with some worried they are a stereotypical white working-class family and/or a pale imitation of the Millers.
Others have said there should be more ethnic minority families instead, or have questioned whether they would be able to afford to live in the East End these days.
But some are looking forward to what O'Connor described as their "explosive" impact on Walford life.
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Climate change could disrupt up to a third of rail services travelling to and from the South West within the next 100 years, a study suggests.
[NEXT_CONCEPT]
Two real-life brothers, an actress who has played TWO previous roles in EastEnders, a bloke from Benidorm and a bearded dragon called Rooney - this is the new "not-to-be-messed-with" EastEnders family.