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

AR by Hongyu Zhu on behalf of the Authors (20 Jun 2016) Manuscript

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.