I just installed the current Scrivener beta on Ubuntu 14.04 final beta (64 bit). Since I had to fiddle around a little bit before I got it running I thought I could save someone else a couple of Google searches:
The downloadable deb file can be installed with dpkg or the Software Center (Just ignore the warning about the malformed deb file), but when I tried running Scrivener I got an error about a missing library libgstapp-0.10.so.0 . It used to be that you could fix this kind of problems by installing ia32-libs, but starting with 13.10 this has changed. I was successful with
sudo dpkg --add-architecture i386
sudo apt-get install libgstreamer-plugins-base0.10-0:i386
This worked for me and I hope it saves someone else some work. The usual disclaimer: if you try this and this breaks your installation, you get my deepest sympathy. You also get to keep all the pieces, but nothing else.