Dear Dr. Gilbert,

I have received your responses to the referees comments and, based on my reading, would like to invite you to submit a revised version of your manuscript for further editorial considerations.

P.S.
Very recently there was a study by Seguinot et al., 2020 ("Englacial warming indicates deep crevassing in Bowdoin Glacier, Greenland"), which you may find relevant to the topic of your paper.

https://www.frontiersin.org/articles/10.3389/feart.2020.00065/abstract  

Best regards,
Evgeny Podolskiy

Dear Dr. Adrien Gilbert,

thank you for submitting a revised version of your manuscript, which I am pleased to accept for its publication in the journal.

I hope you would find the following minor comments helpful (see below).

Thank you again for submitting your paper to The Cryosphere.

Best regards,
Evgeny Podolskiy

EDITORIAL COMMENTS:

[Title]

I agree that your approach can be applied to other Himalayan glaciers, however, this is not what you did in this paper. Therefore, to avoid unnecessary overstatements extending beyond the realm of the contents presented, I suggest to leave a singular form of a glacier (not "glaciers") as: "The influence of water percolation through crevasses on the thermal regime of a Himalayan mountain glacier".

[p.3, line 75]

"Continuous profiles were filtered and some of them migrated ..."
- there are so many ways to filter and introduce a phase shift (which I imagine behind your "migrated"), that I find it necessary to explain how exactly the filtering was done. Now the reader has no clue about this step. Please clarify.

[p.7, line 174]

"We compare it with a threshold value 𝜎𝑡h (MPa) to identify where damage production occurs." 
- I could not find where in text the chosen threshold value was shown. Was it 0.1 MPa? Why? Please, indicate it and support with a reference (there is a great variation in literature as you know).

[p.9, lines 238-243]

Please, put periods at the end of each sentence describing your iterative procedure steps.

[p.10, line 250]

"we shifted the temperature forcing (1980-2016 corrected reanalysis) of 0.7C to obtain balanced mean conditions during the simulation period." 
- I am not sure what is meant by "of" preposition here. Did you shifted "by -0.7C"? Why 0.7? Please, re-write in a more straightforward way.

[p.12, line 333]

"we performed a transient simulation starting in 1975 from the modeled steady state (with crevasses location imposed from observations)"
- do you mean modern observations? Associated not with the past 1975 conditions, but from GPR and Google Earth in 2010-s? Please clarify.

[p.13, line 358]

should be able to adequately captured it.
->... capture

[p. 23, Fig. 2 caption]

along the black dashed line in Fig. 3a.
-> I could not find such in Fig. 3a; should be red?

[p. 31, Fig. 10 caption]

"radar section next to the thermistor (black line in (e)) with the dashed line showing the modeled CTS."
- I could not follow which black line in (e) represents the radar section. Now (e) shows a longitudinal temperature profile 4 km long, where the upper black solid curve shows the surface and lower shows the base. Please re-check.
- I do not think that your CTS abbreviation (cold-temperate transition surface) was defined anywhere. Please do so.