Query MongoDB Collection Compression Settings?
found the solution by myself.

use db.printCollectionStats()

in the output you will find the mentioned algorithm in the "wiredTiger.creationString" section.

"wiredTiger" : {
            "metadata" : {
                    "formatVersion" : 1
            },
            "creationString" : "allocation_size=4KB,app_metadata=(formatVersion=1),block_allocation=best,block_compressor=zlib,cache_resident=0,checkpoint=(WiredTigerCheckpoint.1=(addr=\"018181e4de542a6a8281e4f2e09da0808080808080e21fc0dfc0\",order=1,time=1440667794,size=8192,write_gen=2)),checkpoint_lsn=(2,25344),checksum=on,collator=,columns=,dictionary=0,format=btree,huffman_key=,huffman_value=,id=15,internal_item_max=0,internal_key_max=0,internal_key_truncate=,internal_page_max=4KB,key_format=q,key_gap=10,leaf_item_max=0,leaf_key_max=0,leaf_page_max=32KB,leaf_value_max=64MB,memory_page_max=10m,os_cache_dirty_max=0,os_cache_max=0,prefix_compression=0,prefix_compression_min=4,split_deepen_min_child=0,split_deepen_per_child=0,split_pct=90,value_format=u,version=(major=1,minor=1)",
            "type" : "file",


just look for block_compressor