Viscoelastic perturbations of the Earth: significance of the incremental gravitational force in models of glacial isostasy

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Abstract

The incremental gravitational force (IGF) arises from perturbations of the earth's gravitational potential. In glacial isostasy, its sources are the surficial and internal mass redistributions associated with the growth and decay of the continental ice sheets. Errors caused by the neglect of the IGF are examined using closed-form solutions of the equations governing surface-load induced perturbations of two types of incompressible, spherical-earth models: 1) Maxwellian-viscoelastic mantle enclosed by elastic lithosphere, and 2) Maxwellian-viscoelastic mantle enclosing inviscid core. Spherical-earth models are compared with IGF and plane-earth models without IGF. Calculations of the radial surface displacement show that the errors due to the neglect of sphericity and the IGF partially compensate each other. -from Authors

Original languageEnglish (US)
Pages (from-to)864-879
Number of pages16
JournalGeophysical Journal International
Volume117
Issue number3
StatePublished - 1994
Externally publishedYes

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isostasy
Earth (planet)
perturbation
mantle
Earth mantle
Ice
ice sheet
lithosphere
gravitational fields
ice
decay

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics

Cite this

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abstract = "The incremental gravitational force (IGF) arises from perturbations of the earth's gravitational potential. In glacial isostasy, its sources are the surficial and internal mass redistributions associated with the growth and decay of the continental ice sheets. Errors caused by the neglect of the IGF are examined using closed-form solutions of the equations governing surface-load induced perturbations of two types of incompressible, spherical-earth models: 1) Maxwellian-viscoelastic mantle enclosed by elastic lithosphere, and 2) Maxwellian-viscoelastic mantle enclosing inviscid core. Spherical-earth models are compared with IGF and plane-earth models without IGF. Calculations of the radial surface displacement show that the errors due to the neglect of sphericity and the IGF partially compensate each other. -from Authors",
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N2 - The incremental gravitational force (IGF) arises from perturbations of the earth's gravitational potential. In glacial isostasy, its sources are the surficial and internal mass redistributions associated with the growth and decay of the continental ice sheets. Errors caused by the neglect of the IGF are examined using closed-form solutions of the equations governing surface-load induced perturbations of two types of incompressible, spherical-earth models: 1) Maxwellian-viscoelastic mantle enclosed by elastic lithosphere, and 2) Maxwellian-viscoelastic mantle enclosing inviscid core. Spherical-earth models are compared with IGF and plane-earth models without IGF. Calculations of the radial surface displacement show that the errors due to the neglect of sphericity and the IGF partially compensate each other. -from Authors

AB - The incremental gravitational force (IGF) arises from perturbations of the earth's gravitational potential. In glacial isostasy, its sources are the surficial and internal mass redistributions associated with the growth and decay of the continental ice sheets. Errors caused by the neglect of the IGF are examined using closed-form solutions of the equations governing surface-load induced perturbations of two types of incompressible, spherical-earth models: 1) Maxwellian-viscoelastic mantle enclosed by elastic lithosphere, and 2) Maxwellian-viscoelastic mantle enclosing inviscid core. Spherical-earth models are compared with IGF and plane-earth models without IGF. Calculations of the radial surface displacement show that the errors due to the neglect of sphericity and the IGF partially compensate each other. -from Authors

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