Estimating basal properties of ice streams from surface measurements: a non-linear Bayesian inverse approach applied to synthetic data

We propose a new approach to indirectly estimate basal properties of ice streams, i.e. bedrock topography and basal slipperiness, from observations of surface topography and surface velocities. We demonstrate how a maximum a posteriori estimate of basal conditions can be determined using a Bayesian...

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Published in:The Cryosphere
Main Authors: Raymond, M. J., Gudmundsson, Hilmar
Format: Article in Journal/Newspaper
Language:English
Published: Coperincus 2009
Subjects:
Online Access:https://nrl.northumbria.ac.uk/id/eprint/37578/
https://doi.org/10.5194/tc-3-265-2009
https://nrl.northumbria.ac.uk/id/eprint/37578/1/Raymond,%20Gudmundsson%20-%20Estimating%20basal%20properties%20of%20ice%20streams%20from%20surface%20measurements%20OA.pdf
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spelling ftunivnorthumb:oai:nrl.northumbria.ac.uk:37578 2023-05-15T18:32:34+02:00 Estimating basal properties of ice streams from surface measurements: a non-linear Bayesian inverse approach applied to synthetic data Raymond, M. J. Gudmundsson, Hilmar 2009-12-23 text https://nrl.northumbria.ac.uk/id/eprint/37578/ https://doi.org/10.5194/tc-3-265-2009 https://nrl.northumbria.ac.uk/id/eprint/37578/1/Raymond,%20Gudmundsson%20-%20Estimating%20basal%20properties%20of%20ice%20streams%20from%20surface%20measurements%20OA.pdf en eng Coperincus https://nrl.northumbria.ac.uk/id/eprint/37578/1/Raymond,%20Gudmundsson%20-%20Estimating%20basal%20properties%20of%20ice%20streams%20from%20surface%20measurements%20OA.pdf Raymond, M. J. and Gudmundsson, Hilmar (2009) Estimating basal properties of ice streams from surface measurements: a non-linear Bayesian inverse approach applied to synthetic data. The Cryosphere, 3 (2). pp. 265-278. ISSN 1994-0424 cc_by_4_0 CC-BY F800 Physical and Terrestrial Geographical and Environmental Sciences Article PeerReviewed 2009 ftunivnorthumb https://doi.org/10.5194/tc-3-265-2009 2022-09-25T06:08:59Z We propose a new approach to indirectly estimate basal properties of ice streams, i.e. bedrock topography and basal slipperiness, from observations of surface topography and surface velocities. We demonstrate how a maximum a posteriori estimate of basal conditions can be determined using a Bayesian inference approach in a combination with an analytical linearisation of the forward model. Using synthetic data we show that for non-linear media and non-linear sliding law only a few forward-step model evaluations are needed for convergence. The forward step is solved with a numerical finite-element model using the full Stokes equations. The Fréchet derivative of the forward function is approximated through analytical small-perturbation solutions. This approximation is a key feature of the method and the effects of this approximation on model performance are analyzed. The number of iterations needed for convergence increases with the amplitude of the basal perturbations, but generally less than ten iterations are needed. Article in Journal/Newspaper The Cryosphere Northumbria University, Newcastle: Northumbria Research Link (NRL) The Cryosphere 3 2 265 278
institution Open Polar
collection Northumbria University, Newcastle: Northumbria Research Link (NRL)
op_collection_id ftunivnorthumb
language English
topic F800 Physical and Terrestrial Geographical and Environmental Sciences
spellingShingle F800 Physical and Terrestrial Geographical and Environmental Sciences
Raymond, M. J.
Gudmundsson, Hilmar
Estimating basal properties of ice streams from surface measurements: a non-linear Bayesian inverse approach applied to synthetic data
topic_facet F800 Physical and Terrestrial Geographical and Environmental Sciences
description We propose a new approach to indirectly estimate basal properties of ice streams, i.e. bedrock topography and basal slipperiness, from observations of surface topography and surface velocities. We demonstrate how a maximum a posteriori estimate of basal conditions can be determined using a Bayesian inference approach in a combination with an analytical linearisation of the forward model. Using synthetic data we show that for non-linear media and non-linear sliding law only a few forward-step model evaluations are needed for convergence. The forward step is solved with a numerical finite-element model using the full Stokes equations. The Fréchet derivative of the forward function is approximated through analytical small-perturbation solutions. This approximation is a key feature of the method and the effects of this approximation on model performance are analyzed. The number of iterations needed for convergence increases with the amplitude of the basal perturbations, but generally less than ten iterations are needed.
format Article in Journal/Newspaper
author Raymond, M. J.
Gudmundsson, Hilmar
author_facet Raymond, M. J.
Gudmundsson, Hilmar
author_sort Raymond, M. J.
title Estimating basal properties of ice streams from surface measurements: a non-linear Bayesian inverse approach applied to synthetic data
title_short Estimating basal properties of ice streams from surface measurements: a non-linear Bayesian inverse approach applied to synthetic data
title_full Estimating basal properties of ice streams from surface measurements: a non-linear Bayesian inverse approach applied to synthetic data
title_fullStr Estimating basal properties of ice streams from surface measurements: a non-linear Bayesian inverse approach applied to synthetic data
title_full_unstemmed Estimating basal properties of ice streams from surface measurements: a non-linear Bayesian inverse approach applied to synthetic data
title_sort estimating basal properties of ice streams from surface measurements: a non-linear bayesian inverse approach applied to synthetic data
publisher Coperincus
publishDate 2009
url https://nrl.northumbria.ac.uk/id/eprint/37578/
https://doi.org/10.5194/tc-3-265-2009
https://nrl.northumbria.ac.uk/id/eprint/37578/1/Raymond,%20Gudmundsson%20-%20Estimating%20basal%20properties%20of%20ice%20streams%20from%20surface%20measurements%20OA.pdf
genre The Cryosphere
genre_facet The Cryosphere
op_relation https://nrl.northumbria.ac.uk/id/eprint/37578/1/Raymond,%20Gudmundsson%20-%20Estimating%20basal%20properties%20of%20ice%20streams%20from%20surface%20measurements%20OA.pdf
Raymond, M. J. and Gudmundsson, Hilmar (2009) Estimating basal properties of ice streams from surface measurements: a non-linear Bayesian inverse approach applied to synthetic data. The Cryosphere, 3 (2). pp. 265-278. ISSN 1994-0424
op_rights cc_by_4_0
op_rightsnorm CC-BY
op_doi https://doi.org/10.5194/tc-3-265-2009
container_title The Cryosphere
container_volume 3
container_issue 2
container_start_page 265
op_container_end_page 278
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