Following freestok's great work on the WaveDrum, I tried and read the micro SD card inside my WaveDrum Mini. Here's how files are stored :

I haven't been able to figure out which format is used for loops. The first 4 bytes are always 04 DC 10 D3, but that's all I have noticed so far. I tried and renamed the extension to WAV, but it didn't work.
Importing as raw file in Audacity didn't give much since I couldn't find the appropriate settings. Leaving default values gives an awful result, yet some parts of the real loop are audible. So I guess the format could be based on WAV but some settings need to be adjusted.
I haven't tried to replace these BMN files with my own loops yet.
I can share one file, in case someone more talented feels like giving it a try. I guess sharing would be totally illegal since these loops are the property of Korg, but anyway, this is for research, isn't it ?

The other interesting file here is obviously WD2_DATA.BMN (stored as a backup in Factory/F_DATA.BIN) where I guess all sound presets are encoded. This one is quite a big challenge, though...