Articles | Volume 9, issue 2
https://doi.org/10.5194/se-9-323-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/se-9-323-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
23 Mar 2018
Research article |
| 23 Mar 2018
| 23 Mar 2018
Time-variable gravity fields and ocean mass change from 37 months of kinematic Swarm orbits
Christina Lück
CORRESPONDING AUTHOR
Institute of Geodesy and Geoinformation, University of Bonn, Bonn, Germany
Jürgen Kusche
Institute of Geodesy and Geoinformation, University of Bonn, Bonn, Germany
Roelof Rietbroek
Institute of Geodesy and Geoinformation, University of Bonn, Bonn, Germany
Anno Löcher
Institute of Geodesy and Geoinformation, University of Bonn, Bonn, Germany
Related authors
Kristin Vielberg, Ehsan Forootan, Christina Lück, Anno Löcher, Jürgen Kusche, and Klaus Börger
Ann. Geophys., 36, 761–779, https://doi.org/10.5194/angeo-36-761-2018, https://doi.org/10.5194/angeo-36-761-2018, 2018
Short summary
Short summary
To predict the satellite's motion or its re-entry, the density surrounding the satellite needs to be known as precisely as possible. Usually empirical models are used to estimate the neutral density of the thermosphere, which is the region of the neutrally charged atmosphere. Here, based on calibrated accelerations measured by instruments on board satellites, we compute daily global maps to correct modeled densities. During times of high solar activity, corrections of up to 28 % are necessary.
Lara Börger, Michael Schindelegger, Mengnan Zhao, Rui M. Ponte, Anno Löcher, Bernd Uebbing, Jean-Marc Molines, and Thierry Penduff
Earth Syst. Dynam. Discuss., https://doi.org/10.5194/esd-2024-21, https://doi.org/10.5194/esd-2024-21, 2024
Revised manuscript accepted for ESD
Short summary
Short summary
Flows in the ocean are driven either by atmospheric forces or by small-scale internal disturbances that are inherently chaotic. We use computer simulation results to show that these chaotic oceanic disturbances can attain spatial scales large enough to alter the motion of Earth’s pole of rotation. Given their size and unpredictable nature, the chaotic signals are a source of uncertainty when interpreting observed year-to-year polar motion changes in terms of other processes in the Earth system.
Petra Döll, Howlader Mohammad Mehedi Hasan, Kerstin Schulze, Helena Gerdener, Lara Börger, Somayeh Shadkam, Sebastian Ackermann, Seyed-Mohammad Hosseini-Moghari, Hannes Müller Schmied, Andreas Güntner, and Jürgen Kusche
Hydrol. Earth Syst. Sci., 28, 2259–2295, https://doi.org/10.5194/hess-28-2259-2024, https://doi.org/10.5194/hess-28-2259-2024, 2024
Short summary
Short summary
Currently, global hydrological models do not benefit from observations of model output variables to reduce and quantify model output uncertainty. For the Mississippi River basin, we explored three approaches for using both streamflow and total water storage anomaly observations to adjust the parameter sets in a global hydrological model. We developed a method for considering the observation uncertainties to quantify the uncertainty of model output and provide recommendations.
Torsten Kanzow, Angelika Humbert, Thomas Mölg, Mirko Scheinert, Matthias Braun, Hans Burchard, Francesca Doglioni, Philipp Hochreuther, Martin Horwath, Oliver Huhn, Jürgen Kusche, Erik Loebel, Katrina Lutz, Ben Marzeion, Rebecca McPherson, Mahdi Mohammadi-Aragh, Marco Möller, Carolyne Pickler, Markus Reinert, Monika Rhein, Martin Rückamp, Janin Schaffer, Muhammad Shafeeque, Sophie Stolzenberger, Ralph Timmermann, Jenny Turton, Claudia Wekerle, and Ole Zeising
EGUsphere, https://doi.org/10.5194/egusphere-2024-757, https://doi.org/10.5194/egusphere-2024-757, 2024
Short summary
Short summary
The Greenland Ice Sheet represents the second-largest contributor to global sea-level rise. We quantify atmosphere, ice and ocean-based processes related to the mass balance of glaciers in Northeast Greenland, focusing on Greenland’s largest floating ice tongue, the 79N Glacier. We find that together, the different in situ and remote sensing observations and model simulations to reveal a consistent picture of a coupled atmosphere-ice sheet-ocean system, that has entered a phase of major change.
Matthias O. Willen, Martin Horwath, Eric Buchta, Mirko Scheinert, Veit Helm, Bernd Uebbing, and Jürgen Kusche
The Cryosphere, 18, 775–790, https://doi.org/10.5194/tc-18-775-2024, https://doi.org/10.5194/tc-18-775-2024, 2024
Short summary
Short summary
Shrinkage of the Antarctic ice sheet (AIS) leads to sea level rise. Satellite gravimetry measures AIS mass changes. We apply a new method that overcomes two limitations: low spatial resolution and large uncertainties due to the Earth's interior mass changes. To do so, we additionally include data from satellite altimetry and climate and firn modelling, which are evaluated in a globally consistent way with thoroughly characterized errors. The results are in better agreement with independent data.
Bene Aschenneller, Roelof Rietbroek, and Daphne van der Wal
EGUsphere, https://doi.org/10.5194/egusphere-2023-2320, https://doi.org/10.5194/egusphere-2023-2320, 2023
Short summary
Short summary
Shorelines retreat or advanve in response to sea level changes, subsidence or uplift of the ground, and morphological processes (sedimentation and erosion). We show that the geometrical influence of each of these drivers on shoreline movements can be quantified by combining different remote sensing observations, including radar altimetry, LiDAR and optical satellite images. The focus here is to illustrate the uncertainties of these observations by comparing datasets that cover similar processes.
Simon Deggim, Annette Eicker, Lennart Schawohl, Helena Gerdener, Kerstin Schulze, Olga Engels, Jürgen Kusche, Anita T. Saraswati, Tonie van Dam, Laura Ellenbeck, Denise Dettmering, Christian Schwatke, Stefan Mayr, Igor Klein, and Laurent Longuevergne
Earth Syst. Sci. Data, 13, 2227–2244, https://doi.org/10.5194/essd-13-2227-2021, https://doi.org/10.5194/essd-13-2227-2021, 2021
Short summary
Short summary
GRACE provides us with global changes of terrestrial water storage. However, the data have a low spatial resolution, and localized storage changes in lakes/reservoirs or mass change due to earthquakes causes leakage effects. The correction product RECOG RL01 presented in this paper accounts for these effects. Its application allows for improving calibration/assimilation of GRACE into hydrological models and better drought detection in earthquake-affected areas.
L. Drees, J. Kusche, and R. Roscher
ISPRS Ann. Photogramm. Remote Sens. Spatial Inf. Sci., V-2-2020, 813–820, https://doi.org/10.5194/isprs-annals-V-2-2020-813-2020, https://doi.org/10.5194/isprs-annals-V-2-2020-813-2020, 2020
Isabel Meza, Stefan Siebert, Petra Döll, Jürgen Kusche, Claudia Herbert, Ehsan Eyshi Rezaei, Hamideh Nouri, Helena Gerdener, Eklavyya Popat, Janna Frischen, Gustavo Naumann, Jürgen V. Vogt, Yvonne Walz, Zita Sebesvari, and Michael Hagenlocher
Nat. Hazards Earth Syst. Sci., 20, 695–712, https://doi.org/10.5194/nhess-20-695-2020, https://doi.org/10.5194/nhess-20-695-2020, 2020
Short summary
Short summary
The paper presents, for the first time, a global-scale drought risk assessment for both irrigated and rainfed agricultural systems while considering drought hazard indicators, exposure and expert-weighted vulnerability indicators. We identify global patterns of drought risk and, by disaggregating risk into its underlying components and factors, provide entry points for risk reduction.
Helena Gerdener, Olga Engels, and Jürgen Kusche
Hydrol. Earth Syst. Sci., 24, 227–248, https://doi.org/10.5194/hess-24-227-2020, https://doi.org/10.5194/hess-24-227-2020, 2020
Short summary
Short summary
GRACE-derived drought indicators enable us to detect hydrological droughts based on changes observed in all storages. By performing synthetic experiments, we find that droughts identified by existing and modified indicators are biased by trends and GRACE-based spatial noise. A modified version of the Zhao et al. (2017) indicator is found to be particularly robust against spatial noise and is therefore applied to real GRACE data over South Africa.
Stefan Schröder, Anne Springer, Jürgen Kusche, Bernd Uebbing, Luciana Fenoglio-Marc, Bernd Diekkrüger, and Thomas Poméon
Hydrol. Earth Syst. Sci., 23, 4113–4128, https://doi.org/10.5194/hess-23-4113-2019, https://doi.org/10.5194/hess-23-4113-2019, 2019
Short summary
Short summary
We propose deriving altimetric rating curves by
bridginggaps between time series from gauge and altimeter measurements using hydrological model simulations. We investigate several stations at the Niger River, which is a challenging region. We show that altimetry reproduces discharge well and enables continuing the gauge time series, albeit at a lower temporal resolution.
Kristin Vielberg, Ehsan Forootan, Christina Lück, Anno Löcher, Jürgen Kusche, and Klaus Börger
Ann. Geophys., 36, 761–779, https://doi.org/10.5194/angeo-36-761-2018, https://doi.org/10.5194/angeo-36-761-2018, 2018
Short summary
Short summary
To predict the satellite's motion or its re-entry, the density surrounding the satellite needs to be known as precisely as possible. Usually empirical models are used to estimate the neutral density of the thermosphere, which is the region of the neutrally charged atmosphere. Here, based on calibrated accelerations measured by instruments on board satellites, we compute daily global maps to correct modeled densities. During times of high solar activity, corrections of up to 28 % are necessary.
Related subject area
Geodesy
Gravity inversion method using L0-norm constraint with auto-adaptive regularization and combined stopping criteria
Common-mode signals and vertical velocities in the greater Alpine area from GNSS data
Benchmark forward gravity schemes: the gravity field of a realistic lithosphere model WINTERC-G
Very early identification of a bimodal frictional behavior during the post-seismic phase of the 2015 Mw 8.3 Illapel, Chile, earthquake
Monitoring surface deformation of deep salt mining in Vauvert (France), combining InSAR and leveling data for multi-source inversion
Estimating ocean tide loading displacements with GPS and GLONASS
New insights into active tectonics and seismogenic potential of the Italian Southern Alps from vertical geodetic velocities
Increased density of large low-velocity provinces recovered by seismologically constrained gravity inversion
Sequential inversion of GOCE satellite gravity gradient data and terrestrial gravity data for the lithospheric density structure in the North China Craton
Towards plausible lithological classification from geophysical inversion: honouring geological principles in subsurface imaging
GRACE constraints on Earth rheology of the Barents Sea and Fennoscandia
Asthenospheric anelasticity effects on ocean tide loading around the East China Sea observed with GPS
The imprints of contemporary mass redistribution on local sea level and vertical land motion observations
Extracting small deformation beyond individual station precision from dense Global Navigation Satellite System (GNSS) networks in France and western Europe
Topological analysis in Monte Carlo simulation for uncertainty propagation
Joint analysis of the magnetic field and total gradient intensity in central Europe
Time-lapse gravity and levelling surveys reveal mass loss and ongoing subsidence in the urban subrosion-prone area of Bad Frankenhausen, Germany
Precision of continuous GPS velocities from statistical analysis of synthetic time series
Impact of terrestrial reference frame realizations on altimetry satellite orbit quality and global and regional sea level trends: a switch from ITRF2008 to ITRF2014
Integration of geoscientific uncertainty into geophysical inversion by means of local gradient regularization
The glacial isostatic adjustment signal at present day in northern Europe and the British Isles estimated from geodetic observations and geophysical models
3-D GPS velocity field and its implications on the present-day post-orogenic deformation of the Western Alps and Pyrenees
Multi-quadric collocation model of horizontal crustal movement
Using the Nordic Geodetic Observing System for land uplift studies
Observation of a local gravity potential isosurface by airborne lidar of Lake Balaton, Hungary
Reprocessed height time series for GPS stations
DInSAR Coseismic Deformation of the May 2011 Mw 5.1 Lorca Earthquake (southeastern Spain)
Candidates for multiple impact craters?: Popigai and Chicxulub as seen by the global high resolution gravitational field model EGM2008
Mesay Geletu Gebre and Elias Lewi
Solid Earth, 14, 101–117, https://doi.org/10.5194/se-14-101-2023, https://doi.org/10.5194/se-14-101-2023, 2023
Short summary
Short summary
In this work, a gravity inversion method that can produce compact and sharp images is presented. An auto-adaptive regularization parameter estimation method, improved error-weighting function and combined stopping rule are the contributions incorporated into the presented inversion method. The method is tested by synthetic and real gravity data, and the obtained results confirmed the potential practicality of the method.
Francesco Pintori, Enrico Serpelloni, and Adriano Gualandi
Solid Earth, 13, 1541–1567, https://doi.org/10.5194/se-13-1541-2022, https://doi.org/10.5194/se-13-1541-2022, 2022
Short summary
Short summary
We study time-varying vertical deformation signals in the European
Alps by analyzing GNSS position time series. We associate the deformation
signals to geophysical forcing processes, finding that atmospheric and
hydrological loading are by far the most important cause of seasonal
displacements. Recognizing and filtering out non-tectonic signals allows us
to improve the accuracy and precision of the vertical velocities.
Barend Cornelis Root, Josef Sebera, Wolfgang Szwillus, Cedric Thieulot, Zdeněk Martinec, and Javier Fullea
Solid Earth, 13, 849–873, https://doi.org/10.5194/se-13-849-2022, https://doi.org/10.5194/se-13-849-2022, 2022
Short summary
Short summary
Several alternative gravity modelling techniques and associated numerical codes with their own advantages and limitations are available for the solid Earth community. With upcoming state-of-the-art lithosphere density models and accurate global gravity field data sets, it is vital to understand the differences of the various approaches. In this paper, we discuss the four widely used techniques: spherical harmonics, tesseroid integration, triangle integration, and hexahedral integration.
Cedric Twardzik, Mathilde Vergnolle, Anthony Sladen, and Louisa L. H. Tsang
Solid Earth, 12, 2523–2537, https://doi.org/10.5194/se-12-2523-2021, https://doi.org/10.5194/se-12-2523-2021, 2021
Short summary
Short summary
After an earthquake, the fault continues to slip for days to months. Yet, little is know about the very early part of this phase (i.e., minutes to hours). We have looked at what happens just after an earthquake in Chile from 2015. We find that the fault responds in two ways: south of the rupture zone it slips seismically in the form of aftershocks, while north of the rupture zone it slips slowly. Early inference of such bimodal behavior could prove to be useful for forecasting aftershocks.
Séverine Liora Furst, Samuel Doucet, Philippe Vernant, Cédric Champollion, and Jean-Louis Carme
Solid Earth, 12, 15–34, https://doi.org/10.5194/se-12-15-2021, https://doi.org/10.5194/se-12-15-2021, 2021
Short summary
Short summary
We develop a two-step methodology combining multiple surface deformation measurements above a salt extraction site (Vauvert, France) in order to overcome the difference in resolution and accuracy. Using this 3-D velocity field, we develop a model to determine the kinematics of the salt layer. The model shows a collapse of the salt layer beneath the exploitation. It also identifies a salt flow from the deepest and most external part of the salt layer towards the center of the exploitation.
Bogdan Matviichuk, Matt King, and Christopher Watson
Solid Earth, 11, 1849–1863, https://doi.org/10.5194/se-11-1849-2020, https://doi.org/10.5194/se-11-1849-2020, 2020
Short summary
Short summary
The Earth deforms as the weight of ocean mass changes with the tides. GPS has been used to estimate displacements of the Earth at tidal periods and then used to understand the properties of the Earth or to test models of ocean tides. However, there are important inaccuracies in these GPS measurements at major tidal periods. We find that combining GPS and GLONASS gives more accurate results for constituents other than K2 and K1; for these, GLONASS or ambiguity resolved GPS are preferred.
Letizia Anderlini, Enrico Serpelloni, Cristiano Tolomei, Paolo Marco De Martini, Giuseppe Pezzo, Adriano Gualandi, and Giorgio Spada
Solid Earth, 11, 1681–1698, https://doi.org/10.5194/se-11-1681-2020, https://doi.org/10.5194/se-11-1681-2020, 2020
Short summary
Short summary
The Venetian Southern Alps (Italy) are located in a slowly deforming plate-boundary region where strong earthquakes occurred in the past even if seismological and geomorphological evidence is not conclusive about the specific thrust faults involved. In this study, we integrate and model different geodetic datasets of ground velocity to constrain the seismogenic potential of the studied faults, giving an example of the importance of using vertical geodetic data for seismic hazard estimates.
Wolfgang Szwillus, Jörg Ebbing, and Bernhard Steinberger
Solid Earth, 11, 1551–1569, https://doi.org/10.5194/se-11-1551-2020, https://doi.org/10.5194/se-11-1551-2020, 2020
Short summary
Short summary
At the bottom of the mantle (2850 km depth) two large volumes of reduced seismic velocity exist underneath Africa and the Pacific. Their reduced velocity can be explained by an increased temperature or a different chemical composition. We use the gravity field to determine the density distribution inside the Earth's mantle and find that it favors a distinct chemical composition over a purely thermal cause.
Yu Tian and Yong Wang
Solid Earth, 11, 1121–1144, https://doi.org/10.5194/se-11-1121-2020, https://doi.org/10.5194/se-11-1121-2020, 2020
Short summary
Short summary
Given the inconsistency of the plane height and also the effects of the initial density model on the inversion results, the sequential inversion of on-orbit GOCE satellite gravity gradient and terrestrial gravity are divided into two integrated processes. Some new findings are discovered through the reliable and effective inversion results in the North China Craton.
Jérémie Giraud, Mark Lindsay, Mark Jessell, and Vitaliy Ogarko
Solid Earth, 11, 419–436, https://doi.org/10.5194/se-11-419-2020, https://doi.org/10.5194/se-11-419-2020, 2020
Short summary
Short summary
We propose a methodology for the identification of rock types using geophysical and geological information. It relies on an algorithm used in machine learning called
self-organizing maps, to which we add plausibility filters to ensure that the results respect base geological rules and geophysical measurements. Application in the Yerrida Basin (Western Australia) reveals that the thinning of prospective greenstone belts at depth could be due to deep structures not seen from surface.
Marc Rovira-Navarro, Wouter van der Wal, Valentina R. Barletta, Bart C. Root, and Louise Sandberg Sørensen
Solid Earth, 11, 379–395, https://doi.org/10.5194/se-11-379-2020, https://doi.org/10.5194/se-11-379-2020, 2020
Short summary
Short summary
The Barents Sea and Fennoscandia were home to large ice sheets around 20 000 years ago. After the melting of these ice sheets, the land slowly rebounded. The rebound speed is determined by the viscosity of the deep Earth. The rebound is ongoing and causes small changes in the Earth’s gravity field, which can be measured by the GRACE satellite mission. We use these measurements to obtain the viscosity of the upper mantle and find that it is 2 times higher in Fennoscandia than in the Barents Sea.
Junjie Wang, Nigel T. Penna, Peter J. Clarke, and Machiel S. Bos
Solid Earth, 11, 185–197, https://doi.org/10.5194/se-11-185-2020, https://doi.org/10.5194/se-11-185-2020, 2020
Short summary
Short summary
Changes in the Earth's elastic strength at increasing timescales of deformation affect predictions of its response to the shifting weight of the oceans caused by tides. We show that these changes are detectable using GPS and must be accounted for but that 3-D or locally-tuned models of the Earth's behaviour around the East China Sea provide only slightly better predictions than a simpler model which varies only with depth. Use of this model worldwide will improve precise positioning by GPS.
Thomas Frederikse, Felix W. Landerer, and Lambert Caron
Solid Earth, 10, 1971–1987, https://doi.org/10.5194/se-10-1971-2019, https://doi.org/10.5194/se-10-1971-2019, 2019
Short summary
Short summary
Due to ice sheets and glaciers losing mass, and because continents get wetter and drier, a lot of water is redistributed over the Earth's surface. The Earth is not completely rigid but deforms under these changes in the load on top. This deformation affects sea-level observations. With the GRACE satellite mission, we can measure this redistribution of water, and we compute the resulting deformation. We use this computed deformation to improve the accuracy of sea-level observations.
Christine Masson, Stephane Mazzotti, Philippe Vernant, and Erik Doerflinger
Solid Earth, 10, 1905–1920, https://doi.org/10.5194/se-10-1905-2019, https://doi.org/10.5194/se-10-1905-2019, 2019
Short summary
Short summary
In using dense geodetic networks and large GPS datasets, we are able to extract regionally coherent velocities and deformation rates in France and neighboring western European countries. This analysis is combined with statistical tests on synthetic data to quantify the deformation detection thresholds and significance levels.
Evren Pakyuz-Charrier, Mark Jessell, Jérémie Giraud, Mark Lindsay, and Vitaliy Ogarko
Solid Earth, 10, 1663–1684, https://doi.org/10.5194/se-10-1663-2019, https://doi.org/10.5194/se-10-1663-2019, 2019
Short summary
Short summary
This paper improves the Monte Carlo simulation for uncertainty propagation (MCUP) method for 3-D geological modeling. Topological heterogeneity is observed in the model suite. The study demonstrates that such heterogeneity arises from piecewise nonlinearity inherent to 3-D geological models and contraindicates use of global uncertainty estimation methods. Topological-clustering-driven uncertainty estimation is proposed as a demonstrated alternative to address plausible model heterogeneity.
Maurizio Milano, Maurizio Fedi, and J. Derek Fairhead
Solid Earth, 10, 697–712, https://doi.org/10.5194/se-10-697-2019, https://doi.org/10.5194/se-10-697-2019, 2019
Short summary
Short summary
In this work we aim to interpret the extended magnetic low visible at satellite altitudes above central Europe by performing a joint analysis of magnetic field and total gradient intensity maps at low and high altitudes. Here we demonstrate that such a magnetic anomaly is mainly a result of the contrast between two crustal platforms differing strongly in geological and magnetic properties. Synthetic model tests have been created to support our modeling.
Martin Kobe, Gerald Gabriel, Adelheid Weise, and Detlef Vogel
Solid Earth, 10, 599–619, https://doi.org/10.5194/se-10-599-2019, https://doi.org/10.5194/se-10-599-2019, 2019
Short summary
Short summary
Subrosion, i.e. the underground leaching of soluble rocks, causes disastrous sinkhole events worldwide. We investigate the accompanying mass transfer using quarter-yearly time-lapse gravity campaigns over 4 years in the town of Bad Frankenhausen, Germany. After correcting for seasonal soil water content, we find evidence of underground mass loss and attempt to quantify its amount. This is the first study of its kind to prove the feasibility of this approach in an urban area.
Christine Masson, Stephane Mazzotti, and Philippe Vernant
Solid Earth, 10, 329–342, https://doi.org/10.5194/se-10-329-2019, https://doi.org/10.5194/se-10-329-2019, 2019
Short summary
Short summary
We use statistical analyses of synthetic position time series to estimate the potential precision of GPS velocities. Regression tree analyses show that the main factors controlling the velocity precision are the duration of the series, the presence of offsets, and the noise. Our analysis allows us to propose guidelines which can be applied to actual GPS data that constrain the velocity accuracies.
Sergei Rudenko, Saskia Esselborn, Tilo Schöne, and Denise Dettmering
Solid Earth, 10, 293–305, https://doi.org/10.5194/se-10-293-2019, https://doi.org/10.5194/se-10-293-2019, 2019
Short summary
Short summary
A terrestrial reference frame (TRF) realization is a basis for precise orbit determination of Earth-orbiting artificial satellites and sea level studies. We investigate the impact of a switch from an older TRF realization (ITRF2008) to a new one (ITRF2014) on the quality of orbits of three altimetry satellites (TOPEX/Poseidon, Jason-1, and Jason-2) for 1992–2015, but especially from 2009 onwards, and on altimetry products computed using the satellite orbits derived using ITRF2014.
Jeremie Giraud, Mark Lindsay, Vitaliy Ogarko, Mark Jessell, Roland Martin, and Evren Pakyuz-Charrier
Solid Earth, 10, 193–210, https://doi.org/10.5194/se-10-193-2019, https://doi.org/10.5194/se-10-193-2019, 2019
Short summary
Short summary
We propose the quantitative integration of geology and geophysics in an algorithm integrating the probability of observation of rocks with gravity data to improve subsurface imaging. This allows geophysical modelling to adjust models preferentially in the least certain areas while honouring geological information and geophysical data. We validate our algorithm using an idealized case and apply it to the Yerrida Basin (Australia), where we can recover the geometry of buried greenstone belts.
Karen M. Simon, Riccardo E. M. Riva, Marcel Kleinherenbrink, and Thomas Frederikse
Solid Earth, 9, 777–795, https://doi.org/10.5194/se-9-777-2018, https://doi.org/10.5194/se-9-777-2018, 2018
Short summary
Short summary
This study constrains the post-glacial rebound signal in Scandinavia and northern Europe via the combined inversion of prior forward model information with GPS-measured vertical land motion data and GRACE gravity data. The best-fit model for vertical motion rates has a χ2 value of ~ 1 and a maximum uncertainty of 0.3–0.4 mm yr−1. An advantage of inverse models relative to forward models is their ability to estimate formal uncertainties associated with the post-glacial rebound process.
Hai Ninh Nguyen, Philippe Vernant, Stephane Mazzotti, Giorgi Khazaradze, and Eva Asensio
Solid Earth, 7, 1349–1363, https://doi.org/10.5194/se-7-1349-2016, https://doi.org/10.5194/se-7-1349-2016, 2016
Short summary
Short summary
We present a new 3-D GPS velocity solution for 182 sites for the region encompassing the Western Alps, Pyrenees. The only significant horizontal deformation (0.2 mm/yr over a distance of 50 km) is a NNE–SSW extension in the western Pyrenees. In contrast, significant uplift rates up to 2 mm/yr occur in the Western Alps but not in the Pyrenees. A correlation between site elevations and fast uplift rates in the Western Alps suggests that part of this uplift is induced by postglacial rebound.
Gang Chen, Anmin Zeng, Feng Ming, and Yifan Jing
Solid Earth, 7, 817–825, https://doi.org/10.5194/se-7-817-2016, https://doi.org/10.5194/se-7-817-2016, 2016
Short summary
Short summary
In this paper, we presented a new method on the basis of a collocation and multi-quadric equation interpolation. We introduce a multi-quadric kernel function to determine the covariance of local deformation and use the method to be a simple approximation of the covariance function. We established a horizontal velocity field model for the Chinese mainland by using a set of observed velocity data of GPS stations. The result is simple and reasonable and has a significant reference value.
M. Nordman, M. Poutanen, A. Kairus, and J. Virtanen
Solid Earth, 5, 673–681, https://doi.org/10.5194/se-5-673-2014, https://doi.org/10.5194/se-5-673-2014, 2014
A. Zlinszky, G. Timár, R. Weber, B. Székely, C. Briese, C. Ressl, and N. Pfeifer
Solid Earth, 5, 355–369, https://doi.org/10.5194/se-5-355-2014, https://doi.org/10.5194/se-5-355-2014, 2014
S. Rudenko, N. Schön, M. Uhlemann, and G. Gendt
Solid Earth, 4, 23–41, https://doi.org/10.5194/se-4-23-2013, https://doi.org/10.5194/se-4-23-2013, 2013
T. Frontera, A. Concha, P. Blanco, A. Echeverria, X. Goula, R. Arbiol, G. Khazaradze, F. Pérez, and E. Suriñach
Solid Earth, 3, 111–119, https://doi.org/10.5194/se-3-111-2012, https://doi.org/10.5194/se-3-111-2012, 2012
J. Klokočník, J. Kostelecký, I. Pešek, P. Novák, C. A. Wagner, and J. Sebera
Solid Earth, 1, 71–83, https://doi.org/10.5194/se-1-71-2010, https://doi.org/10.5194/se-1-71-2010, 2010
Cited articles
A, G., Wahr, J., and Zhong, S.: Computations of the viscoelastic response of a 3-D compressible Earth to surface loading: an application to Glacial Isostatic Adjustment in Antarctica and Canada, Geophys. J. Int., 192, 557–572, https://doi.org/10.1093/gji/ggs030, 2013.
Bezděk, A., Sebera, J., Teixeira da Encarnação, J., and Klokočník, J.: Time-variable gravity fields derived from GPS tracking of Swarm, Geophys. J. Int., 205, 1665–1669, https://doi.org/10.1093/gji/ggw094, 2016.
Boening, C., Willis, J. K., Landerer, F. W., Nerem, R. S., and Fasullo, J.: The 2011 La Niña: So strong, the oceans fell, Geophys. Res. Lett., 39, l19602, https://doi.org/10.1029/2012GL053055, 2012.
Cazenave, A. and Llovel, W.: Contemporary Sea Level Rise, Annu. Rev. Mar. Sci., 2, 145–173, https://doi.org/10.1146/annurev-marine-120308-081105, 2010.
Chambers, D. P. and Bonin, J. A.: Evaluation of Release-05 GRACE time-variable gravity coefficients over the ocean, Ocean Sci., 8, 859–868, https://doi.org/10.5194/os-8-859-2012, 2012.
Cheng, M., Tapley, B. D., and Ries, J. C.: Deceleration in the Earth's oblateness, J. Geophys. Res.-Sol. Ea., 118, 740–747, https://doi.org/10.1002/jgrb.50058, 2013.
Dahle, C., Flechtner, F., Gruber, C., König, D., König, R., Michalak, G., and Neumayer, K.-H.: GFZ GRACE Level-2 Processing Standards Document for Level-2 Product Release 0005, Tech. rep., Deutsches GeoForschungsZentrum, Potsdam, Germany, https://doi.org/10.2312/GFZ.b103-12020, 2012.
Dahle, C., Arnold, D., and Jäggi, A.: Impact of tracking loop settings of the Swarm GPS receiver on gravity field recovery, Adv. Space Res., 59, 2843–2854, https://doi.org/10.1016/j.asr.2017.03.003, 2017.
Didova, O., Gunter, B., Riva, R., Klees, R., and Roese-Koerner, L.: An approach for estimating time-variable rates from geodetic time series, J. Geodesy, 90, 1207–1221, https://doi.org/10.1007/s00190-016-0918-5, 2016.
Fasullo, J. T., Boening, C., Landerer, F. W., and Nerem, R. S.: Australia's unique influence on global sea level in 2010–2011, Geophys. Res. Lett., 40, 4368–4373, https://doi.org/10.1002/grl.50834, 2013.
Flechtner, F.,Dobslaw, H., and Fagiolini, E.: GRACE 327-750 (GR-GFZ-AOD-0001). AOD1B Product Description Document for Product Release 05, Tech. rep., GFZ, Potsdam, Germany, 2015.
Folkner, W. M., Williams, J. G., and Boggs, D. H.: The Planetary and Lunar Ephemeris DE 421, Tech. rep., Jet Propulsion Laboratory, Pasadena, California, USA, 2009.
Friis-Christensen, E., Lühr, H., Knudsen, D., and Haagmans, R.: Swarm – An Earth Observation Mission investigating Geospace, Adv. Space Res., 41, 210–216, https://doi.org/10.1016/j.asr.2006.10.008, 2008.
Gerlach, C. and Visser, P.: Swarm and gravity: Possibilities and expectations for gravity field recovery, in: Proceedings of the First Swarm International Science Meeting, 3–5 May 2006, Nantes, France, edited by: Danesy, D., Nantes, 2006.
Gregory, J. M., White, N. J., Church, J. A., Bierkens, M. F. P., Box, J. E., van den Broeke, M. R., Cogley, J. G., Fettweis, X., Hanna, E., Huybrechts, P., Konikow, L. F., Leclercq, P. W., Marzeion, B., Oerlemans, J., Tamisiea, M. E., Wada, Y., Wake, L. M., and van de Wal, R. S. W.: Twentieth-Century Global-Mean Sea Level Rise: Is the Whole Greater than the Sum of the Parts?, J. Climate, 26, 4476–4499, https://doi.org/10.1175/JCLI-D-12-00319.1, 2013.
Gunter, B., Encarnação, J., and Ditmar, P.: The use of satellite constellations and formations for future satellite gravity missions, Adv. Astronaut. Sci., 134, 1357–1368, 2009.
Jäggi, A., Beutler, G., Prange, L., Dach, R., and Mervart, L.: Assessment of GPS-only Observables for Gravity Field Recovery from GRACE, in: Observing our Changing Earth, edited by: Sideris, M. G., Springer, Berlin, Heidelberg, 113–123, https://doi.org/10.1007/978-3-540-85426-5_14, 2009.
Jäggi, A., Dahle, C., Arnold, D., Bock, H., Meyer, U., Beutler, G., and van den IJssel, J.: Swarm kinematic orbits and gravity fields from 18 months of GPS data, Adv. Space Res., 57, 218–233, https://doi.org/10.1016/j.asr.2015.10.035, 2016.
Knocke, P. C., Ries, J. C., and Tapley, B. D.: Earth Radiation Pressure Effects on Satellites, In: AIAA 88-4292, in: Proceedings of the AIAA/AAS, Astrodynamics Conference, 15–17 August 1988, Minneapolis, USA, 577–586, 1988.
Llovel, W., K. Willis, J., Landerer, F., and Fukumori, I.: Deep-ocean contribution to sea level and energy budget not detectable over the past decade, Nat. Clim. Change, 4, 1031–1035, https://doi.org/10.1038/nclimate2387, 2014.
Löcher, A.: Möglichkeiten der Nutzung kinematischer Satellitenbahnen zur Bestimmung des Gravitationsfeldes der Erde, Dissertation, Universität Bonn, Bonn, Germany, 2010.
Loeb, N. G., Wielicki, B. A., Doelling, D. R., Smith, G. L., Keyes, D. F., Kato, S., Manalo-Smith, N., and Wong, T.: Toward Optimal Closure of the Earth's Top-of-Atmosphere Radiation Budget, J. Climate, 22, 748–766, https://doi.org/10.1175/2008JCLI2637.1, 2009.
Lombard, A., Garcia-Sanoguera, D., Ramillien, G., Cazenave, A., Biancale, R., Lemoine, J.-M., Flechtner, F., Schmidt, R., and Ishii, M.: Estimation of steric sea level variations from combined GRACE and Jason-1 data, Earth Planet. Sc. Lett., 254, 194–202, https://doi.org/10.1016/j.epsl.2006.11.035, 2007.
Mayer-Gürr, T.: Gravitationsfeldbestimmung aus der Analyse kurzer Bahnbögen am Beispiel der Satellitenmissionen CHAMP und GRACE, Dissertation, Universität Bonn, Bonn, Germany, 2006.
Mayer-Gürr, T., Behzadpour, S., Ellmer, K., Kvas, A., Klinger, B., and Zehentner, N.: ITSG-Grace2016 – Monthly and Daily Gravity Field Solutions from GRACE, GFZ Data Services, https://doi.org/10.5880/icgem.2016.007, 2016.
Montenbruck, O. and Gill, E.: Satellite Orbits: Models, Methods, Applications, Springer, Berlin Heidelberg, Germany, 2005.
Nicholls, R. J. and Cazenave, A.: Sea-Level Rise and Its Impact on Coastal Zones, Science, 328, 1517–1520, https://doi.org/10.1126/science.1185782, 2010.
Olsen, N., Friis-Christensen, E., Floberghagen, R., Alken, P., Beggan, C. D., Chulliat, A., Doornbos, E., da Encarnação, J. T., Hamilton, B., Hulot, G., van den IJssel, J., Kuvshinov, A., Lesur, V., Lühr, H., Macmillan, S., Maus, S., Noja, M., Olsen, P. E. H., Park, J., Plank, G., Püthe, C., Rauberg, J., Ritter, P., Rother, M., Sabaka, T. J., Schachtschneider, R., Sirol, O., Stolle, C., Thébault, E., Thomson, A. W. P., Tøffner-Clausen, L., Velímský, J., Vigneron, P., and Visser, P. N.: The Swarm Satellite Constellation Application and Research Facility (SCARF) and Swarm data products, Earth Planets Space, 65, 1, https://doi.org/10.5047/eps.2013.07.001, 2013.
Pail, R., Gruber, T., Fecher, T., and GOCO Project Team: The Combined Gravity Model GOCO05c, GFZ Data Services, https://doi.org/10.5880/icgem.2016.003, 2016.
Petit, G. and Luzum, B.: IERS Conventions (2010) (IERS Technical Note No. 36), Tech. rep., International Earth Rotation and Reference Systems Service, Frankfurt am Main, 2010.
Picone, J. M., Hedin, A. E., Drob, D. P., and Aikin, A. C.: NRLMSISE-00 empirical model of the atmosphere: Statistical comparisons and scientific issues, J. Geophys. Res.-Space, 107, SIA 15-1–SIA 15-16, https://doi.org/10.1029/2002JA009430, 1468, 2002.
Reigber, C.: Zur Bestimmung des Gravitationsfeldes der Erde aus Satellitenbeobachtungen, DGK, Reihe C 137, Verlag der Bayerischen Akademie der Wissenschaften, München, Germany, Mitteilungen aus dem Institut für Astronomische und Physikalische Geodäsie, Nr. 63, 1969.
Rietbroek, R., Fritsche, M., Dahle, C., Brunnabend, S.-E., Behnisch, M., Kusche, J., Flechtner, F., Schröter, J., and Dietrich, R.: Can GPS-Derived Surface Loading Bridge a GRACE Mission Gap?, Surv. Geophys., 35, 1267–1283, https://doi.org/10.1007/s10712-013-9276-5, 2014.
Rietbroek, R., Brunnabend, S.-E., Kusche, J., Schröter, J., and Dahle, C.: Revisiting the contemporary sea-level budget on global and regional scales, P. Natl. Acad. Sci. USA, 113, 1504–1509, https://doi.org/10.1073/pnas.1519132113, 2016.
Savcenko, R. and Bosch, W.: EOT11a – Empirical ocean tide model from multi-mission satellite altimetry, Tech. Rep. 89, DGFI, München, Germany, 2012.
Schneider, M.: A general method of orbit determination, PhD thesis, Ministry of Technology, Farnborough, 1968.
Sentman, L., Missiles, L., and Company, S.: Free Molecule Flow Theory and Its Application to the Determination of Aerodynamic Forces, LMSC-448514, Lockheed Missiles and Space Company, a division of Lockheed Aircraft Corporation, available at: https://books.google.de/books?id=H5HpHAAACAAJ (last access: 15 March 2018), 1961.
Siemes, C., de Teixeira da Encarnação, J., Doornbos, E., van den IJssel, J., Kraus, J., Pereštý, R., Grunwaldt, L., Apelbaum, G., Flury, J., and Holmdahl Olsen, P. E.: Swarm accelerometer data processing from raw accelerations to thermospheric neutral densities, Earth Planets Space, 68, 92, https://doi.org/10.1186/s40623-016-0474-5, 2016.
Stocker, T., Qin, D., Plattner, G.-K., Tignor, M., Allen, S., Boschung, J., Nauels, A., Xia, Y., Bex, V., and Midgley, P. (Eds.): Sea Level Change, book section 13, Cambridge University Press, Cambridge, UK and New York, NY, USA, 1137–1216, https://doi.org/10.1017/CBO9781107415324.026, 2013.
Sutton, E.: Effects of Solar Disturbances on the Thermosphere Densities and Wind from CHAMP and GRACE Satellite Accelerometer Data, PhD thesis, University of Colorado, Boulder, Colorado, USA, 2008.
Swenson, S., Chambers, D., and Wahr, J.: Estimating geocenter variations from a combination of GRACE and ocean model output, J. Geophys. Res.-Sol. Ea., 113, b08410, https://doi.org/10.1029/2007JB005338, 2008.
Teixeira da Encarnação, J., Arnold, D., Bezděk, A., Dahle, C., Doornbos, E., van den IJssel, J., Jäggi, A., Mayer-Gürr, T., Sebera, J., Visser, P., and Zehentner, N.: Gravity field models derived from Swarm GPS data, Earth Planets Space, 68, 127, https://doi.org/10.1186/s40623-016-0499-9, 2016.
Trenberth, K. E., Fasullo, J. T., and Balmaseda, M. A.: Earth's Energy Imbalance, J. Climate, 27, 3129–3144, https://doi.org/10.1175/JCLI-D-13-00294.1, 2014.
van Dam, T. and Ray, R.: S1 and S2 Atmospheric Tide Loading Effects for Geodetic Applications, available at: http://geophy.uni.lu/ggfc-atmosphere/tide-loading-calculator.html, last access: 18 January 2018, updated October 2010.
van den IJssel, J., Encarnação, J., Doornbos, E., and Visser, P.: Precise science orbits for the Swarm satellite constellation, Adv. Space Res., 56, 1042–1055, https://doi.org/10.1016/j.asr.2015.06.002, 2015.
van den IJssel, J., Forte, B., and Montenbruck, O.: Impact of Swarm GPS receiver updates on POD performance, Earth Planets Space, 68, 85, https://doi.org/10.1186/s40623-016-0459-4, 2016.
Vielberg, K., Forootan, E., Lück, C., Löcher, A., and Kusche, J.: Comparison of accelerometer data calibration methods used in thermospheric neutral density estimation, Ann. Geophys., in review, 2018.
Visser, P.: Space-borne gravimetry: progress, predictions and relevance for Swarm, in: Proceedings of the First Swarm International Science Meeting, edited by: Danesy, D., Nantes, 3–5 May 2006, Nantes, France, 2006.
Wahr, J., Molenaar, M., and Bryan, F.: Time variability of the Earth's gravity field: Hydrological and oceanic effects and their possible detection using GRACE, J. Geophys. Res., 103, 30205–30230, 1998.
Wang, X., Gerlach, C., and Rummel, R.: Time-variable gravity field from satellite constellation using the energy integral, Geophys. J. Int., 190, 1507–1525, https://doi.org/10.1111/j.1365-246X.2012.05578.x, 2012.
Weigelt, M., van Dam, T., Jäggi, A., Prange, L., Tourian, M. J., Keller, W., and Sneeuw, N.: Time-variable gravity signal in Greenland revealed by high-low satellite-to-satellite tracking, J. Geophys. Res.-Sol. Ea., 118, 3848–3859, https://doi.org/10.1002/jgrb.50283, 2013.
Wenzel, M., and Schröter, J.: The Global Ocean Mass Budget in 1993–2003 Estimated from Sea Level Change, J. Phys. Oceanogr., 37, 203–213, https://doi.org/10.1175/JPO3007.1, 2007.
Zangerl, F., Griesauer, F., Sust, M., Montenbruck, O., Buchert, B., and Garcia, A.: SWARM GPS Precise Orbit Determination Receiver Initial In-Orbit Performance Evaluation, in: Proceedings of the 27th International Technical Meeting of the Satellite Division of the Institute of Navigation, 8-12 September 2014, Tampa, Florida, USA, 1459–1468, 2014.
Zehentner, N.: Kinematic orbit positioning applying the raw observation approach to observe time variable gravity, PhD thesis, Graz University of Technology (90000), Graz, Austria, 2017.
Short summary
Since 2002, the GRACE mission provides estimates of the Earth's time-variable gravity field, from which one can derive ocean mass variability. Now that the GRACE mission has come to an end, it is especially important to find alternative ways for deriving ocean mass changes. For the first time, we use kinematic orbits of Swarm for computing ocean mass time series. We compute monthly solutions, but also show an alternative way of directly estimating time-variable spherical harmonic coefficients.
Since 2002, the GRACE mission provides estimates of the Earth's time-variable gravity field,...
