Remove beards on mussels, and scrub shells with a brush. Discard opened, cracked, or heavy mussels (they're filled with sand). Set aside remaining mussels.
Combine water and next 7 ingredients in a large saucepan; bring to a boil. Reduce heat, and simmer 2 to 3 minutes. Add mussels; bring to a boil. Cover and cook 3 to 4 minutes or until shells open. Remove and discard bay leaf and any unopened mussels. Remove from heat; stir in green onions. Ladle mixture evenly into individual serving bowls.