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A new open-source viscoelastic solid earth deformation module implemented in Elmer (v8.4)


Zwinger, T and Nield, GA and Ruokolainen, J and King, MA, A new open-source viscoelastic solid earth deformation module implemented in Elmer (v8.4), Geoscientific Model Development, 13, (3) pp. 1155-1164. ISSN 1991-959X (2020) [Refereed Article]


Copyright Statement

Copyright 2020 the authors. Licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)

DOI: doi:10.5194/gmd-13-1155-2020


We present a new, open-source viscoelastic solid earth deformation model, Elmer/Earth. Using the multi-physics finite-element package Elmer, a model to compute viscoelastic material deformation has been implemented into the existing linear elasticity solver routine. Unlike approaches often implemented in engineering codes, our solver accounts for the restoring force of buoyancy within a system of layers with depth-varying density. It does this by directly integrating the solution of the system rather than by applying stress-jump conditions in the form of Winkler foundations on inter-layer boundaries, as is usually needed when solving the minimization problem given by the stress divergence in commercial codes. We benchmarked the new model with results from a commercial finite-element engineering package (ABAQUS, v2018) and another open-source code that uses viscoelastic normal mode theory, TABOO, using a flat-earth setup loaded by a cylindrical disc of 100 km in diameter and 100 m in height at the density of ice. Evaluating the differences in predicted surface deformation at the centre of the load and two distinctive distances (100 and 200 km), average deviations of 7 and 2.7 cm of Elmer/Earth results to ABAQUS and TABOO, respectively, were observed. In view of more than 100 cm maximum vertical deformation and the different numerical methods and parameters, these are very encouraging results. Elmer is set up as a highly scalable parallel code and distributed under the (L)GPL license, meaning that large-scale computations can be made without any licensing restrictions. Scaling figures presented in this paper show good parallel performance of the new model. Additionally, the high-fidelity ice-sheet code Elmer/Ice utilizes the same source base as Elmer and thereby the new model opens the way to undertaking high-resolution coupled ice-flow–solid-earth deformation simulations, which are required for robust projections of future sea-level rise and glacial isostatic adjustment.

Item Details

Item Type:Refereed Article
Keywords:solid earth deformation, glacial isostatic adjustment, viscoelasticity
Research Division:Earth Sciences
Research Group:Geophysics
Research Field:Geodynamics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the earth sciences
UTAS Author:Nield, GA (Dr Grace Nield)
UTAS Author:King, MA (Professor Matt King)
ID Code:137925
Year Published:2020
Funding Support:Australian Research Council (DP170100224)
Deposited By:Geography and Spatial Science
Deposited On:2020-03-13
Last Modified:2022-08-24
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