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1.
Wavelet Modeling of Regional and Temporal Variations of the Earth’s Gravitational Potential Observed by GRACE 总被引：1，自引：0，他引：1
This work is dedicated to the wavelet modeling of regional and temporal variations of the Earth’s gravitational potential
observed by the GRACE (gravity recovery and climate experiment) satellite mission. In the first part, all required mathematical
tools and methods involving spherical wavelets are provided. Then, we apply our method to monthly GRACE gravity fields. A
strong seasonal signal can be identified which is restricted to areas where large-scale redistributions of continental water
mass are expected. This assumption is analyzed and verified by comparing the time-series of regionally obtained wavelet coefficients
of the gravitational signal originating from hydrology models and the gravitational potential observed by GRACE. The results
are in good agreement with previous studies and illustrate that wavelets are an appropriate tool to investigate regional effects
in the Earth’s gravitational field.
Electronic Supplementary Material Supplementary material is available for this article at 相似文献
2.
Simulation study of a follow-on gravity mission to GRACE 总被引：9，自引：3，他引：6
The gravity recovery and climate experiment (GRACE) has been providing monthly estimates of the Earth’s time-variable gravity
field since its launch in March 2002. The GRACE gravity estimates are used to study temporal mass variations on global and
regional scales, which are largely caused by a redistribution of water mass in the Earth system. The accuracy of the GRACE
gravity fields are primarily limited by the satellite-to-satellite range-rate measurement noise, accelerometer errors, attitude
errors, orbit errors, and temporal aliasing caused by un-modeled high-frequency variations in the gravity signal. Recent work
by Ball Aerospace & Technologies Corp., Boulder, CO has resulted in the successful development of an interferometric laser
ranging system to specifically address the limitations of the K-band microwave ranging system that provides the satellite-to-satellite
measurements for the GRACE mission. Full numerical simulations are performed for several possible configurations of a GRACE
Follow-On (GFO) mission to determine if a future satellite gravity recovery mission equipped with a laser ranging system will
provide better estimates of time-variable gravity, thus benefiting many areas of Earth systems research. The laser ranging
system improves the range-rate measurement precision to ~0.6 nm/s as compared to ~0.2 μm/s for the GRACE K-band microwave
ranging instrument. Four different mission scenarios are simulated to investigate the effect of the better instrument at two
different altitudes. The first pair of simulated missions is flown at GRACE altitude (~480 km) assuming on-board accelerometers
with the same noise characteristics as those currently used for GRACE. The second pair of missions is flown at an altitude
of ~250 km which requires a drag-free system to prevent satellite re-entry. In addition to allowing a lower satellite altitude,
the drag-free system also reduces the errors associated with the accelerometer. All simulated mission scenarios assume a two
satellite co-orbiting pair similar to GRACE in a near-polar, near-circular orbit. A method for local time variable gravity
recovery through mass concentration blocks (mascons) is used to form simulated gravity estimates for Greenland and the Amazon
region for three GFO configurations and GRACE. Simulation results show that the increased precision of the laser does not
improve gravity estimation when flown with on-board accelerometers at the same altitude and spacecraft separation as GRACE,
even when time-varying background models are not included. This study also shows that only modest improvement is realized
for the best-case scenario (laser, low-altitude, drag-free) as compared to GRACE due to temporal aliasing errors. These errors
are caused by high-frequency variations in the hydrology signal and imperfections in the atmospheric, oceanographic, and tidal
models which are used to remove unwanted signal. This work concludes that applying the updated technologies alone will not
immediately advance the accuracy of the gravity estimates. If the scientific objectives of a GFO mission require more accurate
gravity estimates, then future work should focus on improvements in the geophysical models, and ways in which the mission
design or data processing could reduce the effects of temporal aliasing. 相似文献
3.
G. Bourda 《Journal of Geodesy》2008,82(4-5):295-305
The temporal variations of the Earth’s gravity field, nowadays routinely determined from satellite laser ranging (SLR) and
GRACE (Gravity Recovery And Climate Experiment), are related to changes in the Earth’s rotation rate through the Earth’s inertia
tensor. We study this connection from actual data by comparing the traditional length-of-day (LOD) measurements provided by
the International Earth Rotation and Reference Systems Service (IERS) to the variations of the degree-2 and order-0 Stokes
coefficient of the gravity field determined from fitting the orbits of the LAGEOS-1 and −2 satellites since 1985. The two
series show a good correlation (0.62) and similar annual and semi-annual signals, indicating that the gravity-field-derived
LOD is valuable. Our analysis also provides evidence for additional signals common to both series, especially at a period
near 120 days, which could be due to hydrological effects. 相似文献
4.
Since its launch in 2002, the Gravity Recovery and Climate Experiment (GRACE) mission has been providing measurements of the
time-varying Earth gravity field. The GRACE mission architecture includes two satellites in near-circular, near-polar orbits
separated in the along-track direction by approximately 220 km (e.g. collinear). A microwave ranging instrument measures changes
in the distance between the spacecraft, while accelerometers on each spacecraft are used to measure changes in distance due
to non-gravitational forces. The fact that the satellites are in near-polar orbits coupled with the fact that the inter-satellite
range measurements are directed in the along-track direction, contributes to longitudinal striping in the estimated gravity
fields. This paper examines four candidate mission architectures for a future gravity recovery satellite mission to assess
their potential in measuring the gravity field more accurately than GRACE. All satellites were assumed to have an improved
measurement system, with an inter-satellite laser ranging instrument and a drag-free system for removal of non-gravitational
accelerations. Four formations were studied: a two-satellite collinear pair similar to GRACE; a four-satellite architecture
with two collinear pairs; a two-satellite cartwheel formation; and a four-satellite cartwheel formation. A cartwheel formation
consists of satellites performing in-plane, relative elliptical motion about their geometric center, so that inter-satellite
measurements are, at times, directed radially (e.g. parallel to the direction towards the center of the Earth) rather than
along-track. Radial measurements, unlike along-track measurements, have equal sensitivity to mass distribution in all directions
along the Earth’s surface and can lead to higher spatial resolution in the derived gravity field. The ability of each architecture
to recover the gravity field was evaluated using numerical simulations performed with JPL’s GIPSY-OASIS software package.
Thirty days of data were used to estimate gravity fields complete to degree and order 60. Evaluations were done for 250 and
400 km nominal orbit altitudes. The sensitivity of the recovered gravity field to under-sampled effects was assessed using
simulated errors in atmospheric/ocean dealiasing (AOD) models. Results showed the gravity field errors associated with the
four-satellite cartwheel formation were approximately one order of magnitude lower than the collinear satellite pair when
only measurement system errors were included. When short-period AOD model errors were introduced, the gravity field errors
for each formation were approximately the same. The cartwheel formations eliminated most of the longitudinal striping seen
in the gravity field errors. A covariance analysis showed the error spectrum of the cartwheel formations to be lower and more
isotropic than that of the collinear formations. 相似文献
5.
Mission design,operation and exploitation of the gravity field and steady-state ocean circulation explorer mission 总被引：6，自引：3，他引：3
The European Space Agency’s Gravity field and steady-state ocean circulation explorer mission (GOCE) was launched on 17 March
2009. As the first of the Earth Explorer family of satellites within the Agency’s Living Planet Programme, it is aiming at
a better understanding of the Earth system. The mission objective of GOCE is the determination of the Earth’s gravity field
and geoid with high accuracy and maximum spatial resolution. The geoid, combined with the de facto mean ocean surface derived
from twenty-odd years of satellite radar altimetry, yields the global dynamic ocean topography. It serves ocean circulation
and ocean transport studies and sea level research. GOCE geoid heights allow the conversion of global positioning system (GPS)
heights to high precision heights above sea level. Gravity anomalies and also gravity gradients from GOCE are used for gravity-to-density
inversion and in particular for studies of the Earth’s lithosphere and upper mantle. GOCE is the first-ever satellite to carry
a gravitational gradiometer, and in order to achieve its challenging mission objectives the satellite embarks a number of
world-first technologies. In essence the spacecraft together with its sensors can be regarded as a spaceborne gravimeter.
In this work, we describe the mission and the way it is operated and exploited in order to make available the best-possible
measurements of the Earth gravity field. The main lessons learned from the first 19 months in orbit are also provided, in
as far as they affect the quality of the science data products and therefore are of specific interest for GOCE data users. 相似文献
6.
As underpinned by various studies in the last years, temporal changes of the Earth’s gravity field contain a wealth of information
on mass redistribution processes in the Earth’s system particularly associated with variations in continental water storage.
By combining satellite and terrestrial observations with superconducting gravimeters (SG) a maximum of information can be
gained due to the different temporal and spatial sampling. Esp. the cluster of superconducting gravimeters in central Europe
is well suited for studies related to spatial and temporal changes in continental water storage. Due to the distribution of
SG sites different sensitivities of the instruments are to be expected on changes in the various river and drainage basins
which could, if sufficiently pronounced, be deployed to pinpoint areas in which main discrepancies between modelled and actual
water storage changes occur and would thus allow us to fine-tune hydrological models. Based on the WaterGap Global Hydrological
Model (WGHM), this sensitivity of the SG observations is investigated. One compartment of the WGHM is surface water, thus
comprising rivers, flooding areas, and major reservoirs. This contribution is given for the total cell of 0.5° × 0.5° and
not localized, e.g. in a riverbed, therefore the question arises to which extent localization or non-localization of this
compartment affects the estimate if the respective surface waters are in the vicinity of 50 km around the SG stations. It
can be shown, however, that the lateral distribution of the surface water masses plays only a negligible role for the central
European stations meaning distributed surface water masses are an acceptable simplification when estimating hydrological effects.
It emerges that variations in water storage in regions outside central Europe produce comparable effects on gravity at all
sites and the impact of basins within central Europe is clearly distinguishable among the SG stations. 相似文献
7.
Evaluation and validation of mascon recovery using GRACE KBRR data with independent mass flux estimates in the Mississippi Basin 总被引：1，自引：1，他引：0
S. Klosko D. Rowlands S. Luthcke F. Lemoine D. Chinn M. Rodell 《Journal of Geodesy》2009,83(9):817-827
The direct recovery of surface mass anomalies using GRACE KBRR data processed in regional solutions provides mass variation
estimates with 10-day temporal resolution. The approach undertaken herein uses a tailored orbit estimation strategy based
solely on the KBRR data and directly estimates mass anomalies from the GRACE data. We introduce a set of temporal and spatial
correlation constraints to enable high resolution mass flux estimates. The Mississippi Basin, with its well understood surface
hydrological modelling available from the Global Land Data Assimilation System (GLDAS), which uses advanced land surface modeling
and data assimilation techniques, and a wealth of groundwater data, provides an opportunity to quantitatively compare GRACE
estimates of the mass flux in the entire hydrological column with those available from independent and reliable sources. Evaluating
GRACE’s performance is dependent on the accuracy ascribed to the hydrological information, which in and of itself is a complex
challenge (Rodell in Hydrogeol J, doi:, 2007). Nevertheless, the Mississippi Basin is one of the few regions having a large hydrological signal that can support
a meaningful GRACE comparison on the spatial scale resolved by GRACE. The isolation of the hydrological signal is dependent
on the adequacy of the forward mass flux modeling for tides and atmospheric pressure variations. While these models have non-uniform
global performance they are excellent in the Mississippi Basin. Through comparisons with the independent hydrology, we evaluate
the effect on the solution of changing correlation times and distances in the constraints, altering the parameter recovery
for areas external to the Mississippi Basin, and changing the relative strength of the constraints with respect to the KBRR
data. The accuracy and stability of the mascon solutions are thereby assessed, especially with regard to the constraints used
to stabilize the solution. We show that the mass anomalies, as represented by surface layer of water within regional cells
have accuracy estimates of ±2–3 cm on par with the best hydrological estimates and consistent with our accuracy estimates
for GRACE mass anomaly estimates. These solutions are shown to be very stable, especially for the recovery of semi-annual
and longer period trends, where for example, the phase agreement for the dominant annual signal agrees at the 10-day level
of resolution provided by GRACE. This validation confirms that mascons provide critical environmental data records for a wide
range of applications including monitoring ground water mass changes. 相似文献
8.
We present an alternate mathematical technique than contemporary spherical harmonics to approximate the geopotential based
on triangulated spherical spline functions, which are smooth piecewise spherical harmonic polynomials over spherical triangulations.
The new method is capable of multi-spatial resolution modeling and could thus enhance spatial resolutions for regional gravity
field inversion using data from space gravimetry missions such as CHAMP, GRACE or GOCE. First, we propose to use the minimal
energy spherical spline interpolation to find a good approximation of the geopotential at the orbital altitude of the satellite.
Then we explain how to solve Laplace’s equation on the Earth’s exterior to compute a spherical spline to approximate the geopotential
at the Earth’s surface. We propose a domain decomposition technique, which can compute an approximation of the minimal energy
spherical spline interpolation on the orbital altitude and a multiple star technique to compute the spherical spline approximation
by the collocation method. We prove that the spherical spline constructed by means of the domain decomposition technique converges
to the minimal energy spline interpolation. We also prove that the modeled spline geopotential is continuous from the satellite
altitude down to the Earth’s surface. We have implemented the two computational algorithms and applied them in a numerical
experiment using simulated CHAMP geopotential observations computed at satellite altitude (450 km) assuming EGM96 (n
max = 90) is the truth model. We then validate our approach by comparing the computed geopotential values using the resulting
spherical spline model down to the Earth’s surface, with the truth EGM96 values over several study regions. Our numerical
evidence demonstrates that the algorithms produce a viable alternative of regional gravity field solution potentially exploiting
the full accuracy of data from space gravimetry missions. The major advantage of our method is that it allows us to compute
the geopotential over the regions of interest as well as enhancing the spatial resolution commensurable with the characteristics
of satellite coverage, which could not be done using a global spherical harmonic representation.
The results in this paper are based on the research supported by the National Science Foundation under the grant no. 0327577. 相似文献
9.
Assessing Greenland ice mass loss by means of point-mass modeling: a viable methodology 总被引：2，自引：2，他引：0
Greenland ice mass loss is one of the most serious phenomena of present-day global climate change. In this context, both the
quantification of overall deglaciation rates and its spatial localization are highly significant. We have thoroughly investigated
the technique of point-mass modeling in order to derive mass-balance patterns from GRACE (Gravity Recovery And Climate Experiment)
gravimetry. The method infers mass variations on the Earth’s surface from gravitational signals at satellite altitude. In
order to solve for point-mass changes, we applied least-squares adjustment. Due to downward continuation, numerical stabilization
of the inversion process gains particular significance. We stabilized the ill-posed problem by Tikhonov regularization. Our
simulation and real data experiments show that point-mass modeling provides both rational deglaciation rates and high-resolution
spatial mass variation patterns. 相似文献
10.
Validation of GOCE gravity field models by means of orbit residuals and geoid comparisons 总被引：6，自引：3，他引：3
Three GOCE-based gravity field solutions have been computed by ESA’s high-level processing facility and were released to the
user community. All models are accompanied by variance-covariance information resulting either from the least squares procedure
or a Monte-Carlo approach. In order to obtain independent external quality parameters and to assess the current performance
of these models, a set of independent tests based on satellite orbit determination and geoid comparisons is applied. Both
test methods can be regarded as complementary because they either investigate the performance in the long wavelength spectral
domain (orbit determination) or in the spatial domain (geoid comparisons). The test procedure was applied to the three GOCE
gravity field solutions and to a number of selected pre-launch models for comparison. Orbit determination results suggest,
that a pure GOCE gravity field model does not outperform the multi-year GRACE gravity field solutions. This was expected as
GOCE is designed to improve the determination of the medium to high frequencies of the Earth gravity field (in the range of
degree and order 50 to 200). Nevertheless, in case of an optimal combination of GOCE and GRACE data, orbit determination results
should not deteriorate. So this validation procedure can also be used for testing the optimality of the approach adopted for
producing combined GOCE and GRACE models. Results from geoid comparisons indicate that with the 2 months of GOCE data a significant
improvement in the determination of the spherical harmonic spectrum of the global gravity field between degree 50 and 200
can be reached. Even though the ultimate mission goal has not yet been reached, especially due to the limited time span of
used GOCE data (only 2 months), it was found that existing satellite-only gravity field models, which are based on 7 years
of GRACE data, can already be enhanced in terms of spatial resolution. It is expected that with the accumulation of more GOCE
data the gravity field model resolution and quality can be further enhanced, and the GOCE mission goal of 1–2 cm geoid accuracy
with 100 km spatial resolution can be achieved. 相似文献
11.
Decorrelated GRACE time-variable gravity solutions by GFZ,and their validation using a hydrological model 总被引：14，自引：6，他引：8
We have analyzed recent gravity recovery and climate experiment (GRACE) RL04 monthly gravity solutions, using a new decorrelating
post-processing approach. We find very good agreement with mass anomalies derived from a global hydrological model. The post-processed
GRACE solutions exhibit only little amplitude damping and an almost negligible phase shift and period distortion for relevant
hydrological basins. Furthermore, these post-processed GRACE solutions have been inspected in terms of data fit with respect
to the original inter-satellite ranging and to SLR and GPS observations. This kind of comparison is new. We find variations
of the data fit due to solution post-processing only within very narrow limits. This confirms our suspicion that GRACE data
do not firmly ‘pinpoint’ the standard unconstrained solutions. Regarding the original Kusche (J Geod 81:733–749, 2007) decorrelation
and smoothing method, a simplified (order-convolution) approach has been developed. This simplified approach allows to realize
a higher resolution—as necessary, e.g., for generating computed GRACE observations—and needs far less coefficients to be stored. 相似文献
12.
J. Neumeyer F. Barthelmes O. Dierks F. Flechtner M. Harnisch G. Harnisch J. Hinderer Y. Imanishi C. Kroner B. Meurers S. Petrovic Ch. Reigber R. Schmidt P. Schwintzer H. -P. Sun H. Virtanen 《Journal of Geodesy》2006,79(10-11):573-585
Gravity recovery and climate experiment (GRACE)-derived temporal gravity variations can be resolved within the μgal (10?8 m/s 2) range, if we restrict the spatial resolution to a half-wavelength of about 1,500 km and the temporal resolution to 1 month. For independent validations, a comparison with ground gravity measurements is of fundamental interest. For this purpose, data from selected superconducting gravimeter (SG) stations forming the Global Geodynamics Project (GGP) network are used. For comparison, GRACE and SG data sets are reduced for the same known gravity effects due to Earth and ocean tides, pole tide and atmosphere. In contrast to GRACE, the SG also measures gravity changes due to load-induced height variations, whereas the satellite-derived models do not contain this effect. For a solid spherical harmonic decomposition of the gravity field, this load effect can be modelled using degree-dependent load Love numbers, and this effect is added to the satellite-derived models. After reduction of the known gravity effects from both data sets, the remaining part can mainly be assumed to represent mass changes in terrestrial water storage. Therefore, gravity variations derived from global hydrological models are applied to verify the SG and GRACE results. Conversely, the hydrology models can be checked by gravity variations determined from GRACE and SG observations. Such a comparison shows quite a good agreement between gravity variation derived from SG, GRACE and hydrology models, which lie within their estimated error limits for most of the studied SG locations. It is shown that the SG gravity variations (point measurements) are representative for a large area within the accuracy, if local gravity effects are removed. The individual discrepancies between SG, GRACE and hydrology models may give hints for further investigations of each data series. 相似文献
13.
A global mean dynamic topography and ocean circulation estimation using a preliminary GOCE gravity model 总被引：8，自引：4，他引：4
The Gravity and steady-state Ocean Circulation Explorer (GOCE) satellite mission measures Earth’s gravity field with an unprecedented
accuracy at short spatial scales. In doing so, it promises to significantly advance our ability to determine the ocean’s general
circulation. In this study, an initial gravity model from GOCE, based on just 2 months of data, is combined with the recent
DTU10MSS mean sea surface to construct a global mean dynamic topography (MDT) model. The GOCE MDT clearly displays the gross
features of the ocean’s steady-state circulation. More significantly, the improved gravity model provided by the GOCE mission
has enhanced the resolution and sharpened the boundaries of those features compared with earlier satellite only solutions.
Calculation of the geostrophic surface currents from the MDT reveals improvements for all of the ocean’s major current systems.
In the North Atlantic, the Gulf Stream is stronger and more clearly defined, as are the Labrador and the Greenland currents.
Furthermore, the finer scale features, such as eddies, meanders and branches of the Gulf Stream and North Atlantic Current
system are visible. Similar improvements are seen also in the North Pacific Ocean, where the Kuroshio and its extension are
well represented. In the Southern hemisphere, both the Agulhas and the Brazil-Malvinas Confluence current systems are well
defined, and in the Southern ocean the Antarctic Circumpolar Current appears enhanced. The results of this preliminary analysis,
using an initial GOCE gravity model, clearly demonstrate the potential of the GOCE mission. Already, at this early stage of
the mission, the resolution of the MDT has been improved and the estimated surface current speeds have been increased compared
with a GRACE satellite-only MDT. Future GOCE gravity models are expected to build further upon this early success. 相似文献
14.
为了合理补充重力场恢复与气候试验卫星（Gravity Recovery and Climate Experiment,GRACE）时变重力场的一阶斯托克斯系数（C10、C11、S11）和替换二阶斯托克斯系数（C20）,介绍了相关GRACE-OBP算法及其改进的算法,比较了相应的Chamber Model和4个Sun Model的一阶系数及其计算的地表质量异常,同时比较了基于卫星激光测距观测的Cheng Model与4个Sun Model的C20及其地表质量异常。结果表明,GRACE-OBP算法的一阶系数、卫星激光测距观测的C20及其地表质量异常与改进的GRACE-OBP算法在趋势项上有很大差异,但周年项差异相对较小。利用不同截断阶数和不同机构的GRACE时变重力场模型,对其趋势项和周年项都有一定影响,且对趋势项影响更大。因此,在计算陆地水储量变化时,建议使用改进的GRACE-OBP算法的估计结果,使用较理想的、截断阶数较高的GRACE时变重力模型。 相似文献
15.
Stavros A. Melachroinos Jean-Michel Lemoine Paul Tregoning Richard Biancale 《Journal of Geodesy》2009,83(10):915-923
Unmodeled sub-daily ocean S2 tide signals that alias into lower frequencies have been detected in the analysis of gravity recovery and climate experiment
(GRACE) space gravity fields of GRGS. The most significant global S2 aliased signal occurs off the northwest coast of Australia in a shallow continental shelf zone, a region with high tidal
amplitudes at a period of 161 days. The GRACE S2 aliased equivalent water height grids are convolved with Green’s functions to produce GRACE aliased tidal loading (GATL)
vertical displacements. The analysis of hourly global positioning system (GPS) vertical coordinate estimates at permanent
sites in the region confirms the presence of spectral power at the S2 frequency when the same ocean tide model (FES2004) was used. Thus, deficiencies in the FES2004 ocean tide model are detected
both directly and indirectly by the two independent space geodetic techniques. Through simulation, the admittance (ratio of
amplitude of spurious long-wavelength output signal in the GRACE time-series to amplitude of unmodeled periodic signals) of
the GRACE unmodeled S2 tidal signals, aliased to a 161-day period, is found to have a global average close to 100%, although with substantial spatial
variation. Comparing GATL with unmodeled S2 tidal sub-daily signals in the vertical GPS time-series in the region of Broome in NW Australia suggests an admittance of
110–130%. 相似文献
16.
John W. Crowley Jerry X. Mitrovica Richard C. Bailey Mark E. Tamisiea James L. Davis 《Journal of Geodesy》2008,82(1):9-13
We combine satellite gravity data from the gravity recovery and climate experiment (GRACE) and precipitation measurements
from the National Oceanic and Atmospheric Administration (NOAA) Climate Prediction Center’s (CPC) Merged Analysis of Precipitation
(CMAP) and the Tropical Rainfall Measuring Mission (TRMM), over the period from mid-2002 to mid-2006, to investigate the relative
importance of sink (runoff and evaporation) and source (precipitation) terms in the hydrological balance of the Amazon Basin.
When linear and quadratic terms are removed, the time-series of land water storage variations estimated from GRACE exhibits
a dominant annual signal of 250 mm peak-to-peak, which is equivalent to a water volume change of ~1,800 km3. A comparison of this trend with accumulated (i.e., integrated) precipitation shows excellent agreement and no evidence of
basin saturation. The agreement indicates that the net runoff and evaporation contributes significantly less than precipitation
to the annual hydrological mass balance. Indeed, raw residuals between the de-trended water storage and precipitation anomalies
range from ±40 mm. This range is consistent with stream-flow measurements from the region, although the latter are characterized
by a stronger annual signal than our residuals, suggesting that runoff and evaporation may act to partially cancel each other. 相似文献
17.
We present new measurements of mass evolution for the Mediterranean, Black, Red, and Caspian Seas as determined by the NASA Goddard Space Flight Center (GSFC) GRACE time-variable global gravity mascon solutions. These new solutions are compared to sea surface altimetry measurements of sea level anomalies with steric corrections applied. To assess their accuracy, the GRACE- and altimetry-derived solutions are applied to the set of forward models used by GSFC for processing the GRACE Level-1B datasets, with the resulting inter-satellite range-acceleration residuals providing a useful metric for analyzing solution quality. We also present a differential correction strategy to calibrate the time series of mass change for each of the seas by establishing the strong linear relationship between differences in the forward modeled mass and the corresponding range-acceleration residuals between the two solutions. These calibrated time series of mass change are directly determined from the range-acceleration residuals, effectively providing regionally-tuned GRACE solutions without the need to form and invert normal equations. Finally, the calibrated GRACE time series are discussed and combined with the steric-corrected sea level anomalies to provide new measurements of the unmodeled steric variability for each of the seas over the span of the GRACE observation record. We apply ensemble empirical mode decomposition (EEMD) to adaptively sort the mass and steric components of sea level anomalies into seasonal, non-seasonal, and long-term temporal scales. 相似文献
18.
Due to the super rotation of the Earth＇s inner core, the tilted figure axis of the inner core would progress with respect to the mantle and thus cause the variation of the Earth＇s external gravity field. This paper improves the present model of the gravity field variation caused by the inner core super rotation. Under the assumption that the inner core is a stratifying ellipsoid whose density function is fitted out from PREM and the super rotation rate is 0.27-0.53°/yr, calculations show that the global temporal variations on the Earth＇s surface have a maximum value of about 0.79-1.54×10^3 pGal and a global average intensity of about 0.45-0.89×10^ 3 μGal in the whole year of 2007, which is beyond the accuracy of the present gravimetry and even the super conducting gravimeter data. However, both the gravity variations at Beijing and Wuhan vary like sine variables with maximal variations around 0.33 pGal and 0.29 pGal, respectively, in one cycle. Thus, continuous gravity measurements for one or two decades might be able to detect the differential motion of the inner core. 相似文献
19.
R. S. Mather 《Journal of Geodesy》1975,49(1):65-82
One of the principal problems in separating the non-tidal Newtonian gravitational effects from other forces acting on the
ocean surface with a resolution approaching the 10 cm level arises as a consequence ofall measurements of a geodetic nature being taken eitherat orto the ocean surface. The latter could be displaced by as much as ±2 m from the equipotential surface of the Earth’s gravity field corresponding
to the mean level of the oceans at the epoch of observation— i.e., the geoid. A secondary problem of no less importance is
the likelihood of all datums for geodetic levelling in different parts of the world not coinciding with the geoid as defined
above.
It is likely that conditions will be favourable for the resolution of this problem in the next decade as part of the activities
of NASA’s Earth and Ocean Physics Applications Program (EOPAP). It is planned to launch a series of spacecraft fitted with
altimeters for ranging to the ocean surface as part of this program.
Possible techniques for overcoming the problems mentioned above are outlined within the framework of a solution of the geodetic
boundary value problem to ±5 cm in the height anomaly. The latter is referred to a “higher” reference surface obtained by
incorporating the gravity field model used in the orbital analysis with that afforded by the conventional equipotential ellipsoidal
model (Mather 1974 b). The input data for the solution outlined are ocean surface heights as estimated from satellite altimetry
and gravity anomalies on land and continental shelf areas. The solution calls for a quadratures evaluation in the first instance.
The probability of success will be enhanced if care were paid to the elimination of sources of systematic error of long wavelength
in both types of data as detailed in (Mather 1973 a; Mather 1974 b) prior to its collection and assembly for quadratures evaluations. 相似文献