Dear Ian and Christian,

Thanks for this new version of your paper and the reply to the reviews. I am happy to accept your paper in TC. I have only few minor remarks/comments that you should account for before publication.

Thanks for choosing TC to publish this piece of work!
Regards,
Olivier Gagliardini

Minor comments:
- page 2, last line: is water content really the same as the porosity? Porosity can be filled by water or air? or you are implicitly assuming an instantaneous closure of the porosity where draiange of water occur? May be this could be specified.
- page 5, line 5: I would suggest to avoid full sentence in bracket. Either suppress the brackets or "from (4) (note that in calculating pe here we care about how small the compaction rate is, so we must relate it to the divergence r· j despite approximating the ice as incompressible in (1)). The expression in (13)"
- page 6, line 13: what the \prime for P_e^\prime is standing for should be explained?
- Eqs. (20) and (21): you add a \hat on the gravity acceleration g but its only non-zero component is anyway vertical so that, to my understanding, it is not a simplification of this term. What I have missed here?
- page 13, line 12: Since the ice velocity is zero at the base, ...
- page 16, line 30: I don't understand why adding the additional pressure gradient in (14) will modify the direction and magnitude of the gravity itself? It will modify the right hand side of (14) which can be seen as the driving force?