[{professor:{name:"temp1",department:[{name:"pro1",review:[{paper:"paper1",status:"review",paperid:"1"}]},{name:"pro2",review:[{paper:"paper1",status:"review",paperid:"1"}]}]}}]

db.collection.update({},{$set:{"professor.department.$[d].review.$[r].status":"finish"}},{arrayFilters:[{"d.name":"pro1"},{"r.status":"review"}]})