Dear Jonathan:
If it were regular calcareous marble I would suggest you to try with a Marble Repair Kit, but it wouldn't work on green marble (serpentinite or ophicalcite).
Under the circumstances, your only option is to hire a stone restoration contractor that will have to lightly grind (hone) the surface of your damaged tiles and then bring them up to par to the rest by polishing them.
This is assuming that you can find a stone restoration contractor that gets involved with green marble, that is.
May I ask you now to please read and e-sign our Statement of Purpose at:
http://www.marblecleaning.org/purpose.htm?
Ciao and good luck,
Mauri
Article ID: 707
Created On: Sun, Oct 28, 2007 at 8:44 AM
Last Updated On: Sun, Oct 28, 2007 at 12:00 AM
Authored by: Maurizio Bertoli [mail@mbstone.com]
Online URL: https://marblecleaning.org/knowledgebase/article.php?id=707