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  • 1
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 121 (1995), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: We predict time-dependent variations in the Earth's precession constant arising from the ice and ocean mass fluctuations associated with the Late Pleistocene glacial cycles. Our predictions incorporate contributions from both the surface mass load redistribution and the adjustment of the solid earth. In this regard, we adopt spherically symmetrical, self-gravitating, Maxwell viscoelastic earth models and obtain results for a large suite of radial viscosity profiles. These profiles include a set obtained from published inferences based on post-glacial relative sea-level and uplift histories, as well as a set intended to sample the sensitivity of the results to variations in the viscosity within a number of major subregions of the mantle (e.g. The transition zone, the upper mantle, and the lower mantle). A more detailed measure of this sensitivity is also obtained by computing Frechet kernels for the predictions. We construct an ice model which incorporates the ICE-3G model for the final deglaciation event and which is constrained to yield a eustatic sea-level variation which matches observed fluctuations in oxygen isotope records over the last 800 kyr. In all cases, the ocean mass redistribution is constrained to be gravitationally self-consistent. The computed Frechet kernels indicate that the predictions are most sensitive to variations in viscosity in the deepest regions of the mantle; indeed, in some cases the sensitivity peaks at the core-mantle boundary. Both positive and negative perturbations to the precession constant are predicted, with the maximum peak-to-peak (relative) variation being ∼0.20 per cent for the published viscosity models and ∼0.32 per cent for all other models. Furthermore, the mean relative perturbation in the precession constant, with respect to the present-day value, is found to reach ∼ -0.08 per cent for the published viscosity models, and ∼ -0.20 per cent for other models. Recent solutions for the Earth's precession, obliquity and insolation parameters (Laskar, Joutel & Boudin 1993), indicate a passage through resonance, associated with a perturbation of Jupiter and Saturn, in the case when the mean relative perturbation in the precession constant is ∼-0.15 per cent. We find that this threshold is not achieved for any of the published viscosity models; however, it is reached, for example, for earth models with lower mantle viscosities which exceed 30–50 × 1021 Pa s, or models characterized by large (∼ two orders of magnitude) jumps in viscosity at mid-lower mantle depths.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 114 (1993), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: A formal inverse theory for mantle viscosity is here applied to a relaxation spectrum derived from the post-glacial uplift of Fennoscandia. the spectrum represents the set of eigenfrequencies (or inverse decay times) for the fundamental mode of viscous gravitational relaxation between the spherical harmonic degrees 14 to 45 and 65 to 80. Theoretical predictions of the eigenfrequencies are based upon the determination of the zeroes of the secular determinant function derived for a spherically symmetric, self-gravitating, visco-elastic planet. Differential kernels relating shifts in the eigenfrequencies to arbitrary perturbations in the radial viscosity profile (i.e. Fréchet kernels) are computed using the variational principle derived by Peltier (1976). the inversions are performed within the framework of non-linear Bayesian inference, and the problem has been parameterized in terms of the logarithm of viscosity.The inversions have yielded a set of robust constraints which all models for the radial viscosity profile below Fennoscandia must satisfy. the a posteriori estimates and variance reduction are found to be insensitive to the a priori variance ascribed to the model layers. the constraints have, furthermore, been summarized into a set of a posteriori estimates of the average model viscosity value in radial regions consistent with the resolving power of the data (which decreases from a radial length scale of approximately 120km at the base of the lithosphere to 1200km at 1000km depth; the data provide essentially no information regarding the mantle rheology below 1200km depth). For example, for Earth models with a lithospheric thickness (LT) of 100 km, the volumetric average logarithm of viscosity in regions in the depth ranges 1040-400 km, 670-210 km and 235-100 km is constrained to be, respectively, 21.03±0.09, 20.70±0.08 and 20.37±0.19. We have repeated the inversions for a number of assumed lithospheric thicknesses and have found that a relatively low-viscosity layer in the sublithospheric region (with respect to the underlying upper mantle) is required for LT ≤ 120km. In this respect we have quantified the previously described trade-off between a decrease in the viscosity of this region and a decrease in LT (Cathles 1975).In forward analyses of the glacial isostatic adjustment data set it is common to use Earth models with isoviscous upper and lower mantle regions. to investigate this ‘two-layer’ case we have also performed inversions which assume perfect correlation amongst the model layers in the upper and, separately, the lower mantle. Under this strict model space limitation, the inversions yield models with upper and lower mantle viscosities in the range 3.7 × 1020-4.5 × 1020 Pa s and 2.2 × 1021-1.9 × 1021 Pa s, respectively. (The ranges are obtained from a suite of inversions using lithospheric thickness from 70 km to 145 km.)The a posteriori constraints generated from the Bayesian inversions are used together with a statistic based on the computed misfit to the Fennoscandian relaxation spectrum, to rule out a number of previously published viscosity models.
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  • 3
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 120 (1995), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: We consider the 3-D normal mode response of a Maxwell viscoelastic earth model. We find that the partitioning of modal strengths, amongst the various modal branches, is significantly different for the case of the l Love nunber, which governs tangential deformations, than it is for the h and k Love number, which are associated, respectively, with radial deformations and gravitational potential perturbations. The partitioning and the differences are a strong function of the spherical harmonic degree.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 108 (1992), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: The majority of investigations of the glacial isostatic adjustment problem have proceeded by invoking the correspondence principle and solving for the (Laplace) transformed impulse response of the viscoelastic Earth model that is represented in terms of Love number spectra (Peltier 1974). This formulation requires a final inversion of the solution into the time domain, and the present paper is concerned with a comparison and assessment of the three techniques (pure collocation, full normal mode analysis using residue theory, and a hybrid technique which we term mixed collocation) that have been developed to perform it. On the basis of the analysis presented here we conclude that both the full normal mode analysis and mixed collocation can generate accurate inversions of the Love number spectra. We also derive clear guidelines on the choice of collocation points that ensure that the same accuracy is achieved using pure collocation. As a final point we stress anew that, regardless of the technique employed, the accuracy of the inversions can and should be checked by comparing the predicted infinite time-scale response for a Heaviside loading history with an independent calculation of the response for an inviscid Earth with a lithosphere of appropriate thickness.
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  • 5
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 104 (1991), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: A formal inverse theory for mantle viscosity based upon the data of glacial isostatic adjustment is here formulated and applied to synthetic data. In this theory full account has been taken of the normal mode nature of the forward problem for realistic viscoelastic (Maxwell) models of the planet. Since it is impossible to accurately infer the excitation and decay constants of the individual normal modes from the observations, the formalism is cast in terms of the observed gross Earth data in the time domain. In this analysis expressions are required for the first-order perturbations in both the modal amplitudes and relaxation times that are induced by an arbitrary radial perturbation to the starting viscosity profile. A numerical technique is developed which enables us to accurately determine differential kernels for the modal amplitudes. the analogous kernels for the modal decay times are derived analytically (Peltier 1976), and the complete set of kernels is shown to satisfy the physical constraint imposed by the uniqueness of the state of isostatic equilibrium for the viscously incompressible Maxwell models that we employ. When the problem is parametrized in terms of the logarithm of viscosity, the kernels are capable of accurately predicting shifts in the normal mode characteristics for at least an order of magnitude variation in mantle viscosity.Using Bayesian statistics a formal inversion is applied to a set of synthetically generated data. These data, chosen to reproduce the space-time coverage of the actual observables, include a subset related to the global gravity field and a large sequence of idealized relative sea level (RSL) curves. It is found that even very weak a priori constraints can provide a stable and accurate inversion. A resolving power analysis indicates a spatial resolution of approximately 1200km near the core-mantle boundary (CMB) with a gradual improvement to better than 350km in the middle of the upper mantle. Subsets of the synthetic data are inverted in order to examine conditions on stability and accuracy, and to determine their relative contributions to the spatial resolution. Data from progressively older beaches are shown to contribute most to the spatial resolution at all depths, though the improvement in lower mantle resolution converges for data obtained from beaches formed within the last 5000 yr. Furthermore, the RSL curves in the vicinity of the peripheral bulge of the ancient Laurentide ice sheet are significant contributors to lower mantle resolution (as demonstrated in previous analyses of the forward problem). the inversion of this subset of the data also appears to be encouragingly stable.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 122 (1995), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: We outline two parametrizations for post-glacial relative sea-level (RSL) histories associated with previously glaciated regions. The first parametrization is based on a site-dependent normalization of the RSL history, while the second involves the estimate of a site-dependent (logarithm of the) inverse decay time for the exponential-like form which characterizes these histories. Both parametrizations are shown to yield data sets which are relatively insensitive to the details of the late Pleistocene surface load history, and therefore inferences of mantle viscosity based upon them will be particularly robust. We apply the two parametrizations to consider the RSL record at a number of sites across the Hudson Bay region. In this regard our inferences (which are derived from both forward and inverse calculations) are based upon the actual RSL age-height pairs obtained by survey, rather than the highly subjective set of RSL ‘trends’adopted in previous studies. One of the main goals of the analysis is to assess the validity of a set of previously published and highly contradictory inferences of the radial profile of mantle viscosity based on the Hudson Bay RSL record. Forward analyses using models with isoviscous upper and lower mantle regions (as adopted in the vast majority of previous analyses) indicate that the parametrized versions of the RSL record in Hudson Bay, excluding data from the Cape Henrietta Maria site, are best fitted by a lower mantle viscosity near 1021 Pa s. The same conclusion holds when data from only northern Hudson Bay are considered. The RSL record in southern Hudson Bay is not self-consistent (if the error bars adopted herein are reasonable); however, the parametrized versions of the RSL curves from each site in this region can be reconciled by a model with a lower mantle viscosity somewhere in the rather moderate range 0.5–3.0 × 1021 Pa s. The value of 3 × 1021 Pa s represents a lower bound on the lower mantle viscosity required to fit the RSL records at Cape Henrietta Maria; this record is characterized by a longer decay time than those associated with other sites in the data base. This lower bound is in contrast with previous suggestions that the RSL record at Cape Henrietta Maria requires a lower mantle viscosity of 30 × 1021 Pa s. Inverse analyses described herein indicate that the RSL record from the entire Hudson Bay constrains the average viscosity in the radial region extending from the lower reaches of the upper mantle to mid-lower mantle depths; the inferences listed above are therefore more properly ascribed to this region (rather than the entire lower mantle). We have found that the data are sensitive to moderately deeper variations in the radial viscosity profile as one considers sites situated further north in Hudson Bay. This provides one means for a spherically symmetric model to yield decay times which vary across the Hudson Bay; however, the data do not provide an unambiguous requirement for such a variation.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 99 (1989), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: The fact that vertical plumes and horizontal boundary layers have different cross-sectional dimensions in idealized models of mantle convection is quantified and then exploited to provide a criterion for the selection of an optimal ratio of horizontal and vertical spatial increments in finite difference solutions to the equations governing mantle convection. The effects of varying the ratio r=Δx/Δz on the computed value of the Nusselt number, Nuc, is assessed from a suite of 21 model solutions of Bénard convection at the same Rayleigh number but with varying grid dimensions. It is shown that: (i) for any constant value of r, Nuc varies linearly with (Δx)2 and may be extrapolated to the limit Δx= 0; (ii) the extrapolated value, Nu0, is independent of the value of r employed; (iii) for r= 1 the discretization error (Nu0–Nuc) introduced when Δx 〉 0 may be parametrized in terms of the Rayleigh number and Δx; (iv) it is possible to choose r such that Nuc equals Nu0, the value at Δx= 0, and is independent of Δx; (v) such solutions may be obtained on surprisingly coarse grids when r 〉 1; and (vi) in general Nuc is much less sensitive to the loss of horizontal resolution than vertical. Implications of these results for future developments in the modelling of convection in the Earth's mantle are discussed.
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  • 8
    Publication Date: 2018-08-10
    Description: We will report on two drilling proposals within the International Ocean Discovery Program (IODP) to address open questions on Antarctic Ice-sheet (AIS) dynamics in a transect from the Weddell Sea to the Scotia Sea on the Atlantic side of the Southern Ocean. IODP proposal 848-pre (Ice-sheet and sea-level history of the Weddell Sea) shall drill three contourite drifts northeast of Riiser-Larson Ice Shelf on the slope of the southeastern Weddell Sea that contain high-resolution Mio-Pleistocene sections. As the southern extension of the Atlantic Ocean, the Weddell Sea is a key area to study Earth‘s past climate variability. It constitutes a major source of Antarctic Bottom Water formation, which influences the Atlantic Meridional Overturning Circulation. Moreover, the Weddell Gyre is an important cyclonic circulation system for water-mass communication between the Antarctic Ice Sheet and the Southern Ocean. One of the world's two largest ice shelves, the Filchner-Rønne Ice Shelf, drains into the Weddell Basin. Ice-sheet dynamics in the Weddell Sea sector of the East Antarctic Ice Sheet (EAIS) are highly susceptible to far-field changes in sea level. Practically all icebergs from the EAIS merge in the Weddell Sea before they exit Antarctica through the Scotia Sea, thereby providing a unique location to study AIS dynamics. Despite these paramount scientific issues that have, over the last two decades, identified the Weddell Sea as a key area to study past and present climate change, there has been no deep scientific drilling for high-resolution reconstruction of the Plio-Pleistocene. Our scientific objectives aim at achieving the first complete Late Neogene reconstruction for the Weddell Sea. We will address the overarching questions on changing ice-sheet dynamics, interhemispheric phasing of ice-sheet and climate events, ocean circulation, and bottom-water production. Specifically, we wish to unravel whether the formation of the contourite ridges north of Crary Fan were associated with a sea-level drop initiated through intensification of Northern Hemisphere glaciation during the Pliocene. Also, did the drainage pattern change during the Mid-Pleistocene Transition? Can we decipher ice-sheet dynamics on glacial-to-interglacial time scales and during the Last Glacial Maximum? Can we detect farfield sea-level effects and rates of sea-level rise from Iceberg Alley? Can we relate varve thickness variations obtained from counting and dating varved sediment on the contourite ridges to external (solar) or internal (ocean-atmosphere) variability on decadal-to-centennial time scales? IODP proposal 847-full revised (Plio-Pleistocene reconstruction of ice-sheet, atmosphere, and ocean dynamics in Iceberg Alley) shall drill two deep-ocean sites in the Scotia Sea farther north. We aim at delivering the first well-dated, high-resolution and spatially integrated record of variability in icebergs flux from Iceberg Alley, where a substantial number of Antarctic icebergs exit from the Weddell Sea into the warmer Antarctic Circumpolar Current (ACC). In particular, we will characterize the iceberg flux during the mid-Pliocene warm interval, the mid-Pleistocene transition, the warm interglacials of the last 800 kyr, and during glacial terminations. We will use the geochemical provenance of detrital material to determine regional sources of AIS mass loss; address inter-hemispheric phasing of ice-sheet and climate events, and the relation of AIS variability to sea level. We will also deliver critical information on changes in Drake Passage throughflow, meridional overturning in the Southern Ocean, CO2 transfer via wind-induced upwelling, sea-ice variability, bottom water outflow from the Weddell Sea, Antarctic weathering inputs, and changes in oceanic and atmospheric fronts in the vicinity of the ACC by comparing north-south variations across the Scotia Sea. Comparing changes in dust proxy records between the Scotia Sea and Antarctic ice cores will provide a detailed reconstruction of changes in the Southern Hemisphere westerlies on millennial and orbital time scales for the last 800 kyr. Extending this comparison beyond 800 kyr will help evaluating climate-dust couplings since the Pliocene, its potential role in iron fertilization and atmospheric CO2 drawdown during glacials, and whether dust and changes in Antarctic ice volume played a role in the mid-Pleistocene transition.
    Repository Name: EPIC Alfred Wegener Institut
    Type: Conference , notRev
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  • 9
    Publication Date: 2018-08-10
    Description: The timing of the last maximum extent of the Antarctic ice sheets relative to those in the Northern Hemisphere remains poorly understood. We develop a chronology for the Weddell Sea sector of the East Antarctic Ice Sheet that, combined with ages from other Antarctic ice-sheet sectors, indicates that the advance to and retreat from their maximum extent was within dating uncertainties synchronous with most sectors of Northern Hemisphere ice sheets. Surface climate forcing of Antarctic mass balance would probably cause an opposite response, whereby a warming climate would increase accumulation but not surface melting. Our new data support teleconnections involving sea-level forcing from Northern Hemisphere ice sheets and changes in North Atlantic deep-water formation and attendant heat flux to Antarctic grounding lines to synchronize the hemispheric ice sheets.
    Repository Name: EPIC Alfred Wegener Institut
    Type: Article , isiRev
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  • 10
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