### Abstract

Summary A uniformly valid linear viscoelastic rheology is described which takes the form of a ‘generalized’ Burgers' body and which appears capable of reconciling the behaviour of the Earth's mantle across the complete spectrum of geodynamic time‐scales. This spectrum is bracketed by the short time‐scales of body wave and free oscillation seismology on which anelastic effects are dominant, and the long time‐scale of mantle convection on which the Earth behaves viscously. The parameters of the model which control the viscous response are fixed by post‐glacial rebound data whereas those which govern the anelasticity are to be determined by fitting the model to observations of seismic Q. The paper is concerned primarily with a discussion of the normal mode spectrum of the Earth as a generalized Burgers' body. Focusing upon the homogeneous model, it includes an initial analysis of the accuracy of first‐order perturbation theory as a method of calculating the respective Qs of the elastic gravitational free oscillations. Also considered are the quasi‐static modes of relaxation which only exact eigenanalysis can reveal. The importance of these modes is assessed within the context of a discussion of the effect of viscoelasticity upon the efficiency of Chandler wobble excitation.

Original language | English (US) |
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Pages (from-to) | 495-526 |

Number of pages | 32 |

Journal | Geophysical Journal of the Royal Astronomical Society |

Volume | 69 |

Issue number | 2 |

DOIs | |

State | Published - May 1982 |

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*Geophysical Journal of the Royal Astronomical Society*,

*69*(2), 495-526. https://doi.org/10.1111/j.1365-246X.1982.tb04962.x

**Normal modes of the viscoelastic earth.** / Yuen, David A.; Peltier, W. R.

Research output: Contribution to journal › Article

*Geophysical Journal of the Royal Astronomical Society*, vol. 69, no. 2, pp. 495-526. https://doi.org/10.1111/j.1365-246X.1982.tb04962.x

}

TY - JOUR

T1 - Normal modes of the viscoelastic earth

AU - Yuen, David A.

AU - Peltier, W. R.

PY - 1982/5

Y1 - 1982/5

N2 - Summary A uniformly valid linear viscoelastic rheology is described which takes the form of a ‘generalized’ Burgers' body and which appears capable of reconciling the behaviour of the Earth's mantle across the complete spectrum of geodynamic time‐scales. This spectrum is bracketed by the short time‐scales of body wave and free oscillation seismology on which anelastic effects are dominant, and the long time‐scale of mantle convection on which the Earth behaves viscously. The parameters of the model which control the viscous response are fixed by post‐glacial rebound data whereas those which govern the anelasticity are to be determined by fitting the model to observations of seismic Q. The paper is concerned primarily with a discussion of the normal mode spectrum of the Earth as a generalized Burgers' body. Focusing upon the homogeneous model, it includes an initial analysis of the accuracy of first‐order perturbation theory as a method of calculating the respective Qs of the elastic gravitational free oscillations. Also considered are the quasi‐static modes of relaxation which only exact eigenanalysis can reveal. The importance of these modes is assessed within the context of a discussion of the effect of viscoelasticity upon the efficiency of Chandler wobble excitation.

AB - Summary A uniformly valid linear viscoelastic rheology is described which takes the form of a ‘generalized’ Burgers' body and which appears capable of reconciling the behaviour of the Earth's mantle across the complete spectrum of geodynamic time‐scales. This spectrum is bracketed by the short time‐scales of body wave and free oscillation seismology on which anelastic effects are dominant, and the long time‐scale of mantle convection on which the Earth behaves viscously. The parameters of the model which control the viscous response are fixed by post‐glacial rebound data whereas those which govern the anelasticity are to be determined by fitting the model to observations of seismic Q. The paper is concerned primarily with a discussion of the normal mode spectrum of the Earth as a generalized Burgers' body. Focusing upon the homogeneous model, it includes an initial analysis of the accuracy of first‐order perturbation theory as a method of calculating the respective Qs of the elastic gravitational free oscillations. Also considered are the quasi‐static modes of relaxation which only exact eigenanalysis can reveal. The importance of these modes is assessed within the context of a discussion of the effect of viscoelasticity upon the efficiency of Chandler wobble excitation.

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UR - http://www.scopus.com/inward/citedby.url?scp=0020360218&partnerID=8YFLogxK

U2 - 10.1111/j.1365-246X.1982.tb04962.x

DO - 10.1111/j.1365-246X.1982.tb04962.x

M3 - Article

AN - SCOPUS:0020360218

VL - 69

SP - 495

EP - 526

JO - Geophysical Journal of the Royal Astronomical Society

JF - Geophysical Journal of the Royal Astronomical Society

SN - 0016-8009

IS - 2

ER -