Basically, a patent is always deliberately written to be as obtuse and nonspecific as possible, so it can't be copied easily. So its no surprise the exact volumes aren't included. Since you've been assigned to evaluate the "greenness"of a process, you can probably describe the volumes stoiciometrically. Or for non-reactions (washing steps as an example) come up with a general idea, define it and just go with it.
On some levels, this sounds like quite a tough project. How, quantitatively, "green" one process is over another seems like a murky question to me. I suppose its greener to use a process that washes with isopropanol vs one that recrystallizes from THF, but how much? Furthermore, if you mix a compounded pharmaceutical formulation with actives, excipients, binding agent and water, that's "greener" that using isopropanol with the water as a solvent. Unless of course, the tableting fails when you do that. Which actually happened, where I once worked.