globalchange  > 气候变化与战略
DOI: 10.5194/tc-15-715-2021
论文题名:
Sensitivity of ice sheet surface velocity and elevation to variations in basal friction and topography in the full Stokes and shallow-shelf approximation frameworks using adjoint equations
作者: Cheng G.; Kirchner N.; Lötstedt P.
刊名: Cryosphere
ISSN: 19940416
出版年: 2021
卷: 15, 期:2
起始页码: 715
结束页码: 742
语种: 英语
英文关键词: analytical method ; elevation ; ice sheet ; kinematics ; numerical model ; steady-state equilibrium ; topography
英文摘要: Predictions of future mass loss from ice sheets are afflicted with uncertainty, caused, among others, by insufficient understanding of spatiotemporally variable processes at the inaccessible base of ice sheets for which few direct observations exist and of which basal friction is a prime example. Here, we present a general numerical framework for studying the relationship between bed and surface properties of ice sheets and glaciers. Specifically, we use an inverse modeling approach and the associated time-dependent adjoint equations, derived in the framework of a full Stokes model and a shallow-shelf/shelfy-stream approximation model, respectively, to determine the sensitivity of grounded ice sheet surface velocities and elevation to time-dependent perturbations in basal friction and basal topography. Analytical and numerical examples are presented showing the importance of including the time-dependent kinematic free surface equation for the elevation and its adjoint, in particular for observations of the elevation. A closed form of the analytical solutions to the adjoint equations is given for a two-dimensional vertical ice in steady state under the shallow-shelf approximation. There is a delay in time between a seasonal perturbation at the ice base and the observation of the change in elevation. A perturbation at the base in the topography has a direct effect in space at the surface above the perturbation, and a perturbation in the friction is propagated directly to the surface in time. © 2021 Copernicus GmbH. All rights reserved.
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资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/164668
Appears in Collections:气候变化与战略

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作者单位: Department of Information Technology, Uppsala University, P.O. Box 337, Uppsala, 751 05, Sweden; Department of Physical Geography, Stockholm University, Stockholm, 106 91, Sweden; Bolin Centre for Climate Research, Stockholm University, Stockholm, 106 91, Sweden

Recommended Citation:
Cheng G.,Kirchner N.,Lötstedt P.. Sensitivity of ice sheet surface velocity and elevation to variations in basal friction and topography in the full Stokes and shallow-shelf approximation frameworks using adjoint equations[J]. Cryosphere,2021-01-01,15(2)
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