Correct spelling for the English word "perfrication" is [pˌɜːfɹɪkˈe͡ɪʃən], [pˌɜːfɹɪkˈeɪʃən], [p_ˌɜː_f_ɹ_ɪ_k_ˈeɪ_ʃ_ə_n] (IPA phonetic alphabet).
Thorough rubbing.
A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.
There is no record of the word "perfrication" in any standard dictionary or etymological source. It appears to be a rare or possibly non-existent word. Therefore, no specific information about its etymology can be provided. It is possible that it may be a made-up or misspelled word.