The Influence of Sediments, Lithosphere and Upper Mantle (Anelastic) With Lateral Heterogeneity on Ocean Tide Loading and Ocean Tide Dynamics

Huang, Pingping; Sulzbach, Roman; Klemann, Volker; Tanaka, Yoshiyuki; Dobslaw, Henryk; Martinec, Zdenĕk; Thomas, Maik

doi:10.1029/2022jb025200

Cited by 3 publications

(1 citation statement)

References 62 publications

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“…While the work presented here provides a comprehensive overview of the sensitivity of terrestrial water storage estimates derived from observations of surface displacement to assumed elastic Earth structure, we have only considered Earth models that are radially heterogeneous. In reality, the Earth's material properties are observed to vary both radially and laterally (e.g., Dannberg et al., 2017; Yuan & Romanowicz, 2018) influencing the displacement response of the Earth's surface to surface loading in regions with significant variations in three‐dimensional structure, such as New Zealand (Huang et al., 2022). As the study of the solid Earth's response to climate‐driven interactions between Earth systems becomes increasingly important to understand processes such as terrestrial hydrology and sea‐level rise, it will be necessary to consider the impact of Earth models which deviate from the SNREI models commonly used by hydrogeodesists.…”

Section: Discussionmentioning

confidence: 99%

Sensitivity of GNSS‐Derived Estimates of Terrestrial Water Storage to Assumed Earth Structure

Swarr,

Martens,

2024

JGR Solid Earth

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Geodetic methods can monitor changes in terrestrial water storage (TWS) across large regions in near real‐time. Here, we investigate the effect of assumed Earth structure on TWS estimates derived from Global Navigation Satellite System (GNSS) displacement time series. Through a series of synthetic tests, we systematically explore how the spatial wavelength of water load affects the error of TWS estimates. Large loads (e.g., >1,000 km) are well recovered regardless of the assumed Earth model. For small loads (e.g., <10 km), however, errors can exceed 75% when an incorrect model for the Earth is chosen. As a case study, we consider the sensitivity of seasonal TWS estimates within mountainous watersheds of the western U.S., finding estimates that differ by over 13% for a collection of common global and regional structural models. Errors in the recovered water load generally scale with the total weight of the load; thus, long‐term changes in storage can produce significant uplift (subsidence), enhancing errors. We demonstrate that regions experiencing systematic and large‐scale variations in water storage, such as the Greenland ice sheet, exhibit significant differences in predicted displacement (over 20 mm) depending on the choice of Earth model. Since the discrepancies exceed GNSS observational precision, an appropriate Earth model must be adopted when inverting GNSS observations for mass changes in these regions. Furthermore, regions with large‐scale mass changes that can be quantified using independent data (e.g., altimetry, gravity) present opportunities to use geodetic observations to refine structural properties of seismologically derived models for the Earth's interior structure.

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Section: Discussionmentioning

confidence: 99%

Sensitivity of GNSS‐Derived Estimates of Terrestrial Water Storage to Assumed Earth Structure

Swarr,

Martens,

2024

JGR Solid Earth

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Anelasticity of the lower mantle inferred from the pole and lunar monthly tides using global DORIS coordinate time series

Zou,

Ding,

Luan

2024

Global and Planetary Change

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A commercial finite element approach to modelling Glacial Isostatic Adjustment on spherical self-gravitating compressible earth models

Huang,

Steffen,

Steffen

et al. 2023

Geophysical Journal International

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SUMMARY This paper presents a method that modifies commercial engineering-oriented finite element packages for the modelling of Glacial Isostatic Adjustment (GIA) on a self-gravitating, compressible and spherical Earth with 3-D structures. The approach, called the iterative finite element body and surface force (FEMIBSF) approach, solves the equilibrium equation for deformation using the ABAQUS finite element package and calculates potential perturbation consistently with finite element theory, avoiding the use of spherical harmonics. The key to this approach lies in computing the mean external body forces for each finite element within the Earth and pressure on Earth's surface and core–mantle boundary (CMB). These quantities, which drive the deformation and stress perturbation of GIA but are not included in the equation of motion of commercial finite element packages, are implemented therein. The method also demonstrates how to calculate degree-1 deformation directly in the spatial domain and Earth-load system for GIA models. To validate the FEMIBSF method, loading Love numbers (LLNs) for homogeneous and layered earth models are calculated and compared with three independent GIA methodologies: the normal-mode method, the iterative body force method and the spectral-finite element method. Results show that the FEMIBSF method can accurately reproduce the unstable modes for the homogeneous compressible model and agree reasonably well with the Love number results from other methods. It is found that the accuracy of the FEMIBSF method increases with higher resolution, but a non-conformal mesh should be avoided due to creating the so-called hanging nodes. The role of a potential force at the CMB is also studied and found to only affect the long-wavelength surface potential perturbation and deformation in the viscous time regime. In conclusion, the FEMIBSF method is ready for use in realistic GIA studies, with modelled vertical and horizontal displacement rates in a disc load case showing agreement with other two GIA methods within the uncertainty level of GNSS measurements.

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The Influence of Sediments, Lithosphere and Upper Mantle (Anelastic) With Lateral Heterogeneity on Ocean Tide Loading and Ocean Tide Dynamics

Cited by 3 publications

References 62 publications

Sensitivity of GNSS‐Derived Estimates of Terrestrial Water Storage to Assumed Earth Structure

Sensitivity of GNSS‐Derived Estimates of Terrestrial Water Storage to Assumed Earth Structure

Anelasticity of the lower mantle inferred from the pole and lunar monthly tides using global DORIS coordinate time series

A commercial finite element approach to modelling Glacial Isostatic Adjustment on spherical self-gravitating compressible earth models

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