Multiple Document Upsert in Mongoose

Hello here is my problem,

var poolSchema = mongoose.Schema({
        "topic_id": {
            type: Number,
            default: null,
            required: true
        },
        "document_id": {
            type: String,
            default: null,
            required: true
        },
        "project":{
            type:String,
            default: false,
            required: true
        },
        "createddate":{
            type:Date,
            default : Date.now
        }
    }, { collection: "sorguHavuzu" }); 

i have an array of pool documents which each item has different field values such below :

var poolItems = [
                   {document_id :"FBIS3-50136" ,topic_id :"301" , project :"A1"},
                   {document_id :"LA040190-0178" ,topic_id :"302" , project :"A1"},
                   {document_id :"FT934-5418" ,topic_id :"303" , project :"A1"},
                   {document_id :"LA071090-0047" ,topic_id :"304" , project :"A1"}]

Here is my scheme :

I would like to upsert the items in the array by document_id field. So here is my update operation.

var query = {"document_id" : { $in:["FBIS3-50136","LA040190-0178","FT934-5418","LA071090-0047"]}};
Pools.collection.update(query, { $push : { "$ROOT" :  poolItems }  }, { upsert: true, multi : true}, callback);

Error: The dollar ($) prefixed field \'$ROOT\' in \'$ROOT\' is not valid for storage.

But on every attempt, i got different errors, is there a way to upsert items with mongoose update operation ? Thanks