ice field vs ice rink

ice field

noun
  • A large expanse of floating ice (several miles long). 

  • A network of interconnected glaciers or ice streams having a common source. 

ice rink

noun
  • A specially frozen surface of water on which people skate or play ice hockey; the building that houses such a surface. 

How often have the words ice field and ice rink occurred in a corpus of books? (source: Google Ngram Viewer )