Inversion of geothermal heat flux in a thermomechanically coupled nonlinear Stokes ice sheet model

Zhu, Hongyu; Petra, Noemi; Stadler, Georg; Isaac, Tobin; Hughes, Thomas J. R.; Ghattas, Omar

doi:https://doi.org/10.5194/tc-10-1477-2016

Articles | Volume 10, issue 4

https://doi.org/10.5194/tc-10-1477-2016

© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

https://doi.org/10.5194/tc-10-1477-2016

© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 10, issue 4

Research article

|

13 Jul 2016

Research article |

| 13 Jul 2016

Inversion of geothermal heat flux in a thermomechanically coupled nonlinear Stokes ice sheet model

Hongyu Zhu, Noemi Petra, Georg Stadler, Tobin Isaac, Thomas J. R. Hughes, and Omar Ghattas

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Final revised paper (published on 13 Jul 2016)
Preprint (discussion started on 18 Jan 2016)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC1: 'Review of tc-2015-228', Anonymous Referee #1, 11 Feb 2016
- AC2: 'Response to Referee #1', Hongyu Zhu, 26 May 2016
RC2: 'Review of Zhu et al.', Douglas Brinkerhoff, 16 Feb 2016
- AC1: 'Response to Douglas Brinkerhoff', Hongyu Zhu, 26 May 2016
AC3: 'Modifications in the paper corresponding to the comments from the reviewers', Hongyu Zhu, 26 May 2016

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Hongyu Zhu on behalf of the Authors (27 May 2016) Author's response Manuscript

ED: Publish as is (15 Jun 2016) by G. Hilmar Gudmundsson

Short summary

We study how well the basal geothermal heat flux can be inferred from surface velocity observations using a thermomechanically coupled nonlinear Stokes ice sheet model. The prospects and limitations of this inversion is studied in two and three dimensional model problems. We also argue that a one-way coupled approach for the adjoint equations motivated by staggered solvers for forward multiphysics problems can lead to an incorrect gradient and premature termination of the optimization iteration.