Variational inference of ice shelf rheology with physics-informed machine learning

Floating ice shelves that fringe the coast of Antarctica resist the flow of grounded ice into the ocean. One of the key factors governing the amount of flow resistance an ice shelf provides is the rigidity (related to viscosity) of the ice that constitutes it. Ice rigidity is highly heterogeneous an...

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Main Authors: Bryan Riel, Brent Minchew
Format: Article
Language:English
Published: Cambridge University Press 2023-10-01
Series:Journal of Glaciology
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S0022143023000084/type/journal_article
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author Bryan Riel
Brent Minchew
author_facet Bryan Riel
Brent Minchew
author_sort Bryan Riel
collection DOAJ
description Floating ice shelves that fringe the coast of Antarctica resist the flow of grounded ice into the ocean. One of the key factors governing the amount of flow resistance an ice shelf provides is the rigidity (related to viscosity) of the ice that constitutes it. Ice rigidity is highly heterogeneous and must be calibrated from spatially continuous surface observations assimilated into an ice-flow model. Realistic uncertainties in calibrated rigidity values are needed to quantify uncertainties in ice sheet and sea-level forecasts. Here, we present a physics-informed machine learning framework for inferring the full probability distribution of rigidity values for a given ice shelf, conditioned on ice surface velocity and thickness fields derived from remote-sensing data. We employ variational inference to jointly train neural networks and a variational Gaussian Process to reconstruct surface observations, rigidity values and uncertainties. Applying the framework to synthetic and large ice shelves in Antarctica demonstrates that rigidity is well-constrained where ice deformation is measurable within the noise level of the observations. Further reduction in uncertainties can be achieved by complementing variational inference with conventional inversion methods. Our results demonstrate a path forward for continuously updated calibrations of ice flow parameters from remote-sensing observations.
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spelling doaj.art-d333fbb6e44f400cb87bd99e9b422a562023-10-24T09:48:09ZengCambridge University PressJournal of Glaciology0022-14301727-56522023-10-01691167118610.1017/jog.2023.8Variational inference of ice shelf rheology with physics-informed machine learningBryan Riel0https://orcid.org/0000-0003-1940-3910Brent Minchew1https://orcid.org/0000-0002-5991-3926School of Earth Sciences, Zhejiang University, 310027 Hangzhou, China Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, MA, USADepartment of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, MA, USAFloating ice shelves that fringe the coast of Antarctica resist the flow of grounded ice into the ocean. One of the key factors governing the amount of flow resistance an ice shelf provides is the rigidity (related to viscosity) of the ice that constitutes it. Ice rigidity is highly heterogeneous and must be calibrated from spatially continuous surface observations assimilated into an ice-flow model. Realistic uncertainties in calibrated rigidity values are needed to quantify uncertainties in ice sheet and sea-level forecasts. Here, we present a physics-informed machine learning framework for inferring the full probability distribution of rigidity values for a given ice shelf, conditioned on ice surface velocity and thickness fields derived from remote-sensing data. We employ variational inference to jointly train neural networks and a variational Gaussian Process to reconstruct surface observations, rigidity values and uncertainties. Applying the framework to synthetic and large ice shelves in Antarctica demonstrates that rigidity is well-constrained where ice deformation is measurable within the noise level of the observations. Further reduction in uncertainties can be achieved by complementing variational inference with conventional inversion methods. Our results demonstrate a path forward for continuously updated calibrations of ice flow parameters from remote-sensing observations.https://www.cambridge.org/core/product/identifier/S0022143023000084/type/journal_articleGlacial rheologyglacier modelingice dynamicsice rheologyice shelves
spellingShingle Bryan Riel
Brent Minchew
Variational inference of ice shelf rheology with physics-informed machine learning
Journal of Glaciology
Glacial rheology
glacier modeling
ice dynamics
ice rheology
ice shelves
title Variational inference of ice shelf rheology with physics-informed machine learning
title_full Variational inference of ice shelf rheology with physics-informed machine learning
title_fullStr Variational inference of ice shelf rheology with physics-informed machine learning
title_full_unstemmed Variational inference of ice shelf rheology with physics-informed machine learning
title_short Variational inference of ice shelf rheology with physics-informed machine learning
title_sort variational inference of ice shelf rheology with physics informed machine learning
topic Glacial rheology
glacier modeling
ice dynamics
ice rheology
ice shelves
url https://www.cambridge.org/core/product/identifier/S0022143023000084/type/journal_article
work_keys_str_mv AT bryanriel variationalinferenceoficeshelfrheologywithphysicsinformedmachinelearning
AT brentminchew variationalinferenceoficeshelfrheologywithphysicsinformedmachinelearning