Murtagh is suffering from a stress fracture in his right foot and, therefore, has been ruled out of the tournament, the ICC said in a release.
The 29-year-old Sorensen has played eight ODIs for Ireland in which he has scored 97 runs and taken 12 wickets. Sorensen's last ODI appearance in Ireland colours was against Scotland in Dublin in September 2014.
Any injury or illness-based replacement requires a written submission to the Event Technical Committee along with a diagnosis from a medical practitioner as to the extent of the injury or illness.
The members of the Event Technical Committee of the ICC Cricket World Cup 2015 are Geoff Allardice (ICC General Manager - Cricket, Chairman), Campbell Jamieson (ICC General Manager - Commercial), John Harnden (Chief Executive, CWC 2015 LOC), Gavin Larsen (Cricket Operations Manager, New Zealand), Russel Arnold and Sanjay Manjrekar (independent nominees).
Ireland is in Pool B along with defending champion India, former winners Pakistan and West Indies, African rivals South Africa and Zimbabwe, and qualifier United Arab Emirates (UAE). Ireland will play its opening match against the West Indies at Saxton Oval in Nelson on February 16.
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