There are at least three bands with this name.
1. This three-man band from Illnois released one album in August 2008, called As Midgard Weeps. It's an experimental Black Metal album with various influences, mainly from Post-Punk and Ambient.
2. This Australian Black/Death Metal band released one untitled demo in 2005.
3. Somnolence is a cello-driven black metal/crust/"anarcho chamber-thrash" band from Oakland, California.
http://somnolenceoakland.bandcamp.com/ .