Delete missing Archive mailbox database

I have an SBS2011 server with Exchange 2010.  I created an Archive mailbox database to test but deleted the VHD that the file was on (no backup).  I now get perminant Exchange index errors but as the file is missing and the database shows as unmounted the Remove process does not work.  The existance of the mailbox is a problem as when I recently added a new VHD it selected the same volume letter which caused Exchange to stop sending and receiving mail.
Does anyone know how to force the removal so that I can create a new Archive mailbox?