Does secret marriage (Nikah 'urfi) still exist in Arabic countries,especially in Saudi Arabia? How that works?

It is similar to the Nikah ceremony. An urfi marriage is a marriage without an official contract. Couples repeat the words, "We got married" and pledge commitment before God. Usually a paper, stating that the two are married, is written and two witnesses sign it. Most Islamic countries do not recognize 'Urfi marriages. Neither partner can get a 'legal' divorce since the government does recognize the legality of the marriage in the first place