My application erroneously registered one objectid like this.

"_id": {
		"$id": "5303cb0951dbc6cc0f000000"
}

When replicaset workers try to apply the changes on others members I received this message:

Wed Feb 19 14:26:32.395 [repl writer worker 1] ERROR: writer worker caught exception: invalid operator: $id on: { ts: Timestamp 1392830792000|1, h: 1650460182289490216, v: 2, op: "d", ns: "database.collection", b: true, o: { _id: { $id: "5303cb0951dbc6cc0f000000" } } }

To solve this problem I stopped the replicaset, and drop the oplog (i can't drop this entry) and restart the replicaset with a full sync.