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1.
An inverse Poisson integral technique has been used to determine a gravity field on the geoid which, when continued by analytic
free space methods to the topographic surface, agrees with the observed field. The computation is performed in three stages,
each stage refining the previous solution using data at progressively increasing resolution (1o×1o, 5′×5′, 5/8′×5/8′) from a decreasing area of integration. Reduction corrections are computed at 5/8′×5/8′ granularity by
differencing the geoidal and surface values, smoothed by low-pass filtering and sub-sampled at 5′ intervals. This paper discusses
1o×1o averages of the reduction corrections thus obtained for 172 1o×1o squares in western North America.
The 1o×1o mean reduction corrections are predominantly positive, varying from −3 to +15mgal, with values in excess of 5mgal for 26 squares. Their mean andrms values are +2.4 and 3.6mgal respectively and they correlate well with the mean terrain corrections as predicted byPellinen in 1962. The mean andrms contributions from the three stages of computation are: 1o×1o stage +0.15 and 0.7mgal; 5′×5′ stage +1.0 and 1.6mgal; and 5/8′×5/8′ stage +1.3 and 1.8mgal. These results reflect a tendency for the contributions to become larger and more systematically positive as the wavelengths
involved become shorter. The results are discussed in terms of two mechanisms; the first is a tendency for the absolute values
of both positive and negative anomalies to become larger when continued downwards and, the second, a non-linear rectification,
due to the correlation between gravity anomaly and topographic height, which results in the values continued to a level surface
being systematically more positive than those on the topography. 相似文献
2.
A detailed gravimetric geoid in the North Atlantic Ocean, named DGGNA-77, has been computed, based on a satellite and gravimetry
derived earth potential model (consisting in spherical harmonic coefficients up to degree and order 30) and mean free air
surface gravity anomalies (35180 1°×1° mean values and 245000 4′×4′ mean values). The long wavelength undulations were computed
from the spherical harmonics of the reference potential model and the details were obtained by integrating the residual gravity
anomalies through the Stokes formula: from 0 to 5° with the 4′×4′ data, and from 5° to 20° with the 1°×1° data. For computer
time reasons the final grid was computed with half a degree spacing only. This grid extends from the Gulf of Mexico to the
European and African coasts.
Comparisons have been made with Geos 3 altimetry derived geoid heights and with the 5′×5′ gravimetric geoid derived byMarsh andChang [8] in the northwestern part of the Atlantic Ocean, which show a good agreement in most places apart from some tilts which
porbably come from the satellite orbit recovery. 相似文献
3.
A computer-efficient global data file, which contains digitized information that enables identification of a given latitude/longitude
defined point as over land or over water, was generated from a data base which defines the world's shoreline. The method used
in the generation of this land-sea boundary data map and its data structure are discussed. The data file was originally generated
on a Control Data Corporation(CDC) computer, but it has been transported to other computer systems, includingIBM, DEC/VAX, UNIVAC and Cray computers. The land-sea boundary map also includes information on islands and inland lakes. The resolution of this
map is 5′×5′ or an equivalent of9 km square surface blocks at the equator. The software to access this data base is structured to be easily transportable to different
computers. This data base was used in the generation of the Seasat Geophysical Data Record(GDR) to identify whether a spaceborne radar altimeter measurement was over-land or over-ocean. 相似文献
4.
Global mean sea surface heights (SSHs) and gravity anomalies on a 2′×2′ grid were determined from Seasat, Geosat (Exact Repeat Mission and Geodetic Mission), ERS-1 (1.5-year mean of 35-day, and
GM), TOPEX/POSEIDON (T/P) (5.6-year mean) and ERS-2 (2-year mean) altimeter data over the region 0∘–360∘ longitude and –80∘–80∘ latitude. To reduce ocean variabilities and data noises, SSHs from non-repeat missions were filtered by Gaussian filters
of various wavelengths. A Levitus oceanic dynamic topography was subtracted from the altimeter-derived SSHs, and the resulting
heights were used to compute along-track deflection of the vertical (DOV). Geoidal heights and gravity anomalies were then
computed from DOV using the deflection-geoid and inverse Vening Meinesz formulae. The Levitus oceanic dynamic topography was
added back to the geoidal heights to obtain a preliminary sea surface grid. The difference between the T/P mean sea surface
and the preliminary sea surface was computed on a grid by a minimum curvature method and then was added to the preliminary
grid. The comparison of the NCTU01 mean sea surface height (MSSH) with the T/P and the ERS-1 MSSH result in overall root-mean-square
(RMS) differences of 5.0 and 3.1 cm in SSH, respectively, and 7.1 and 3.2 μrad in SSH gradient, respectively. The RMS differences
between the predicted and shipborne gravity anomalies range from 3.0 to 13.4 mGal in 12 areas of the world's oceans.
Received: 26 September 2001 / Accepted: 3 April 2002
Correspondence to: C. Hwang
Acknowledgements. This research is partly supported by the National Science Council of ROC, under grants NSC89-2611-M-009-003-OP2 and NSC89-2211-E-009-095.
This is a contribution to the IAG Special Study Group 3.186. The Geosat and ERS1/2 data are from NOAA and CERSAT/France, respectively.
The T/P data were provided by AVISO. The CLS and GSFC00 MSS models were kindly provided by NASA/GSFC and CLS, respectively.
Drs. Levitus, Monterey, and Boyer are thanked for providing the SST model. Dr. T. Gruber and two anonymous reviewers provided
very detailed reviews that improved the quality of this paper. 相似文献
5.
On the basis of gravity field model (EIGEN_CG01C), together with multi-altimeter data, the improved deflection of the vertical gridded in 2'×2' in China marginal sea and gridded in 5'×5' in the global sea was determined by using the weighted method of along-track least squares, and the accuracy is better than 1.2^# in China marginal sea. As for the quality of the deflection of the vertical, it meets the challenge for the gravity field of high resolution and accuracy, it shows that, compared with the shipboard gravimetry in the sea, the accuracy of the gravity anomalies computed with the marine deflection of the vertical by inverse Vening-Meinesz formula is 7.75 m.s ^-2. 相似文献
6.
Dan Sharni 《Journal of Geodesy》1971,45(3):299-317
Crustal data of surface elevations and depth of Moho (and densities) can be utilized to form model-earth anomalies. These
model-anomalies can closely approximate the free-air anomaly field of the earth, and could thus be used to predict the latter.
A review of several such models is presented, with some elaboration on model developments, procedures, data analysis and accuracies.
One of the models approaches a prediction accuracy of ±10 mgal for5°×5° mean free-air anomalies, whose r.m.s. value was about30% higher. 相似文献
7.
A new gravity map, a new marine geoid around Japan and the detection of the Kuroshio current 总被引:3,自引:0,他引:3
About half a million marine gravity measurements over a 30∘×30∘ area centered on Japan have been processed and adjusted to produce a new free-air gravity map from a 5′×5′ grid. This map
seems to have a better resolution than those previously published as measured by its correlation with bathymetry. The grid
was used together with a high-degree and -order spherical harmonics geopotential model to compute a detailed geoid with two
methods: Stokes integral and collocation. Comparisons with other available geoidal surfaces derived either from gravity or
from satellite altimetry were made especially to test the ability of this new geoid at showing the sea surface topography
as mapped by the Topex/Poseidon satellite. Over 2 months (6 cycles) the dynamic topography at ascending passes in the region
(23∘47∘N and 123∘147∘E) was mapped to study the variability of the Kuroshio current.
Received: 15 July 1994 / Accepted: 17 February 1997 相似文献
8.
J. C. Bhattacharji 《Journal of Geodesy》1980,54(2):225-233
The Everest spheroid, 1830, in general use in the Survey of India, was finally oriented in an arbitrary manner at the Indian
geodetic datum in 1840; while the international spheroid, 1924, in use for scientific purposes; was locally fitted to the
Indian geoid in 1927. An attempt is here made to obtain the initial values for the Indian geodetic datum in absolute terms
on GRS 67 by least-square solution technique, making use of the available astro-geodetic data in India, and the corresponding
generalised gravimetric values at the considered astro-geodetic points, as derived from the mean gravity anomalies over1°×1° squares of latitude and longitude in and around the Indian sub-continent, and over5° equal area blocks covering the rest of the earth’s surface. The values obtained independently by gravimetric method, were
also considered before actual finalization of the results of the present determination. 相似文献
9.
R. K. Somashekar P. Ravikumar S. V. Sowmya Mubhashir Aziz Dar A. S. Ravikumar 《Journal of the Indian Society of Remote Sensing》2011,39(1):95-106
The study area, Hesaraghatta watershed is located between 77° 20′ to 77° 42′ E longitude and 13° 10′ to 13° 24′ N latitude
with an area of 600.01 km2. Thematic layers such as Land Use/Land Cover, drainage, soil and hydrological soil group were generated from IRS–1D LISS
III satellite data (FCC). An attempt was made to estimate runoff using Soil Conservation Service (SCS) curve number model
and it was estimated to be 1960, 2066, 1870 and 1810 mm for sub-watersheds 1, 2, 3 and 4 respectively. Quantitative morphometric
analysis was carried out for the entire watershed and the four sub-watersheds independently by estimating their (a) linear
aspects like stream order, stream length, stream length ratio, bifurcation ratio, length of overland flow, drainage pattern
(b) aerial aspects like shape factor, circulatory ratio, elongation ratio and drainage density and (c) relief aspects like
basin relief, relief ratio, relative relief and ruggedness number. Drainage density was estimated to be 1.23 km/km2 designating the study area as a very coarse textured watershed. 相似文献
10.
A least-squares prediction method is described to estimate horizontal coordinate distortions at lower order points of a network
using known coordinate differences (NAD27 coordinate distortions Δϕ′s and Δλ′s) at higher order points between NAD27 coordinates
and coordinates derived from a recent (MAY 76), relatively distortion free, adjustment of these points. Empirical autocovariance
functions of Δϕ and Δλ and crosscovariance function between Δϕ and Δλ are derived from some 5,250 data points and modelled
using series of exponential functions. Empirical mean square values of Δϕ and Δλ, which are a measure of the distortions in
NAD27 ϕ and λ, are 0.051 and 0.645 arcsecs2 respectively. The corresponding mean value of the product ΔϕΔλ, which is a measure of the correlation between Δϕ and Δλ,
is 0.056 arcsecs2. The accuracy obtainable for predicted Δϕ and Δλ at an arbitrary point (e.g., lower order station) is a function of the accuracy
and configuration of known Δϕ′s and Δλ′s in the surrounding area. Accuracies obtainable for various types of data configuration
are given. Under favorable conditions taking place in about 60% of cases, accuracies in terms of ms agreement with known values
of 0″.02 (0.6 m) and 0″.01 (0.2 m along parallel at latitude 50°) for the predicted latitude and longitude distortions are
obtainable. Finally, a comparison with a method based on the use of complex polynomials is made.
Presented at International Symposium on Geodetic Networks and Computations, Munich, August–September 1981. 相似文献
11.
Shashikant A. Sharma Sushma Panigrahy Jai Singh Parihar 《Journal of the Indian Society of Remote Sensing》2011,39(3):407-413
Gathering timely information of the global agriculture production of major and commercially important crops has become essential
with globalization of the agriculture commodities. Remote sensing based crop production forecasting and monitoring is emerging
as one of the most viable solutions for such large area monitoring task. A suitable sampling strategy is the basic requirement
towards this. In the present study, different sampling sizes using agricultural area as the sampling frame has been used to
analyse the optimum sampling size for continent level assessment. Land use/cover map of the world using 300 m resolution MERIS
data was used to generate the agriculture area mask. Grid size of (i) 5° × 5° (ii) 1° × 1° (iii) 30′ × 30′ (iv) 15′ × 15′
(v) 7.5′ × 7.5′ and (vi) 5′ × 5′ were used. Percent crop area was estimated for the grids of all sizes. The grid size of 15′ × 15′
was found to be optimum for global monitoring, as not much change Ws observed in the distribution of the grids after reducing
the sample size. Stratification was done using simple random and stratified random sampling method. Stratification using the
‘cumulative square-root of frequency method that resulted in five strata performed best in terms of the variance of the population. 相似文献
12.
Zhe Yang Shuli Song Wenhai Jiao Guangming Chen Junchen Xue Weili Zhou Wenyao Zhu 《GPS Solutions》2017,21(2):363-375
This study carries out a quantitative analysis of the performance of ionospheric tomography in the topside ionosphere, utilizing data of October 2011 collected from 260 Global Navigation Satellite System (GNSS) stations in the Crustal Movement Observation Network of China. This tomographic reconstruction with a resolution of 2° in latitude, 2° in longitude and 20 km in altitude has more than 70 % of voxels traversed by GPS raypaths and is able to provide reliable bottom parts of ionospheric profiles. Compared with the observations measured by the Defense Meteorological Satellite Program (DMSP) satellites (F16, F17 and F18) at an altitude of 830–880 km, the results show that there is an overestimation in the reconstructed plasma density at the DMSP altitude, and the reconstruction is better during daytime than nighttime. In addition, the reconstruction at nighttime also indicates a solar activity and latitudinal dependence. In summary, with respect to DMSP measurements, the daytime bias is on average from ?0.32 × 105/cm3 to ?0.28 × 105/cm3, while the nighttime bias is between ?0.37 × 105/cm3 and ?0.24 × 105/cm3, and the standard deviation at daytime and at nighttime is, respectively, 0.082 × 105/cm3 to 0.244 × 105/cm3 and 0.086 × 105/cm3 to 0.428 × 105/cm3. This study suggests that vertical ionospheric profiles from other sources, such as ionosondes or GNSS occultation satellites, should be incorporated into ground-based GNSS topside tomographic studies. 相似文献
13.
K. Ledersteger 《Journal of Geodesy》1952,26(1):101-104
Summary The absolute deviations of the vertical detectable at Potsdam from astronomical-gravity comparisons differ significantly from
earlier values obtained from the astronomic-geodetic observations which form the starting elements of the European triangulation
network. It is possible to show, by the use of values of the deviation of the vertical extending over the whole of Europe
as far as longitude 30°, and referred to the undulations of the geoid ofTanni, that the starting elements adopted at Potsdam are too large by 3″.0 in latitude and 1″.4 in longitude.
Communication présentée à l’Assemblée Générale de Bruxelles 相似文献
Resumen Las desviaciones absolutas de la vertical obtenidas en Potsdam por procedimiento astronómico-gravimétrico, se alejan sensiblemente de los valores encontrados enteriormente por procedimiento astronómicogeodésico, y que constituyen la base de partida de la red de conjunto europea. Es posible demostrar, basándose en el material de desviaciones de la vertical extendido a toda Europa hasta la longitud de 30°, partiendo de las ondulaciones del geoide deTanni, que los datos de partida adoptados en Potsdam son demasiado grandes en 3″,0 de latitud y 1″,4 de longitud.
Résumé Les déviations absolues de la verticale relevées à Potsdam par voie astronomico-gravimétrique s’écartent sensiblement des valeurs trouvées autrefois par voie astronomico-géodésique, et qui forment la base de départ du réseau d’ensemble de l’Europe. Il est possible de démontrer, en s’appuyant sur le matériel de déviations de la verticale étendu sur toute l’Europe jusqu’à la longitude de 30°, en partant des ondulations du géo?de deTanni, que les données de départ adoptées à Potsdam sont trop grandes de 3″.0 en latitude et de 1″.4 en longitude.
Sommario La deviazione assoluta della verticale determinata a Postdam per via astronomico-gravimetrica, si scosta sensibilmente dal valore trovato in precedenza per via astronomico-geodetica, che forma la base della compensazione delle reti europee. Si può dimostrare, appoggiandosi sulle deviazioni della verticale conosciute in Europa fino alla longitudine di 30°, e partendo dalle ondulazioni del geoide diTanni, che i dati di partenza adottati a Postdam sono troppo grandi di 3″,0 in latitudine e di 1″,4 in longitudine.
Communication présentée à l’Assemblée Générale de Bruxelles 相似文献
14.
LUO Jia LI Jiancheng CHAO Dingbo 《地球空间信息科学学报》2003,6(1):19-23
1 IntroductionTodeveloptheoceanwidelyanddeeply ,weneedabundantoceaninformation .Asanessentialpartofsuchinformation ,seafloortopographyplaysaveryimportantroleinavarietyofmarineactivities .However,thehighcostforoceanbathymetricsurveyinglimitstheapplicationo… 相似文献
15.
M. E. Ayhan 《Journal of Geodesy》1997,71(6):362-369
In the analyses of 2D real arrays, fast Hartley (FHT), fast T (FTT) and real-valued fast Fourier transforms are generally
preferred in lieu of a complex fast Fourier transform due to the advantages of the former with respect to disk storage and
computation time. Although the FHT and the FTT in one dimension are identical, they are different in two or more dimensions.
Therefore, first, definitions and some properties of both transforms and the related 2D FHT and FTT algorithms are stated.
After reviewing the 2D FHT and FTT solutions of Stokes' formula in planar approximation, 2D FHT and FTT methods are developed
for geoid updating to incorporate additional gravity anomalies. The methods are applied for a test area which includes a 64×64
grid of 3′×3′ point gravity anomalies and geoid heights calculated from point masses. The geoids computed by 2D FHT and FTT are found to
be identical. However, the RMS value of the differences between the computed and test geoid is ±15 mm. The numerical simulations
indicate that the new methods of geoid updating are practical and accurate with considerable savings on storage requirements.
Received: 15 February 1996; Accepted: 22 January 1997 相似文献
16.
Christopher Jekeli 《Journal of Geodesy》1980,54(2):137-147
Errors are considered in the outer zone contribution to oceanic undulation differences as obtained from a set of potential
coefficients complete to degree 180. It is assumed that the gravity data of the inner zone (a spherical cap), consisting of
either gravity anomalies or gravity disturbances, has negligible error. This implies that error estimates of the total undulation
difference are analyzed. If the potential coefficients are derived from a global field of 1°×1° mean anomalies accurate to
εΔg=10 mgal, then for a cap radius of 10°, the undulation difference error (for separations between 100 km and 2000 km) ranges
from 13 cm to 55 cm in the gravity anomaly case and from 6 cm to 36 cm in the gravity disturbance case. If εΔg is reduced to 1 mgal, these errors in both cases are less than 10 cm. In the absence of a spherical cap, both cases yield
identical error estimates: about 68 cm if εΔg=1 mgal (for most separations) and ranging from 93 cm to 160 cm if εΔg=10 mgal. Introducing a perfect 30-degree reference field, the latter errors are reduced to about 110 cm for most separations. 相似文献
17.
G Ja Sankar M Jagannadha Rao B S Prakasa Rao D K Jugran 《Journal of the Indian Society of Remote Sensing》2001,29(3):165-174
Hydromorphogeological studies have been carried out around Agnigundala mineralised belt (longitude 70°.39′ - 16°.51′ and latitude 16°.2′ - 16°.15′) using remote sensing IRS-IB and SPOT data for ground water exploration. Based on erosional and depositional characters of various geomorphic units like Hills (Structural and denudational) Pediment, Buried pediment, plains and valley fills have been identified in various lithologies like granite, granite gneiss, biotite schist, phyllite,. quartzite and dolomite. The acclamations of individual geomorphic units through visual interpretation are verified from field data. The groundwater potentials of the individual geomorphologic units have been evaluated to obtain a complete hvdrogcological picture of the area. The field data have further helped in quanlifying various geomorphological units with reference to their potential for ground water occurrence. 相似文献
18.
Isaac Dadzie 《地球空间信息科学学报》2007,10(1):27-32
A new computational procedure for derivation of marine geoid on a 2.5′×2.5′grid in a non-tidal system over the South China Sea and the Philippine Sea from multi-satellite altimeter sea surface heights is discussed. Single-and dual-satellite crossovers were performed, and components of deflections of the vertical were determined at the crossover positions using Sand-well's computational theory, and gridded onto a 2.5′×2.5′resolution grid by employing the Shepard's interpolation procedure. 2.5′×2.5′grid of EGM96-derived components of deflections of the vertical and geoid heights were then used as reference global geopotential model quantities in a remove-restore procedure to implement the Molodensky-like formula via 1D-FFT technique to predict the geoid heights over the South China Sea and the Philippine Sea from the gridded altimeter-derived components of deflec-tions of the vertical. Statistical comparisons between the altimeter-and the EGM96- derived geoid heights showed that there was a root-mean-square agreement of ±0.35 m between them in a region of less tectonically active geological structures. However, over areas of tectonically active structures such as the Philippine trench, differences of about -19.9 m were obtained. 相似文献
19.
A preliminary gravimetric geoid with respect to the International Spheroid and the latest astro-geodetic geoid computed on
the Everest and International Spheroids are given in the form of undulation maps over the Indian Sub—continent.
10x10 mean free-air anomalies (modified) on the Geodetic Reference System, 1967 (GRS-67) are also given for the whole country in
the form of a chart.
For the purpose of computing the gravimetric geoid, 50x50 mean free-air anomalies were used outside the area bounded by latitudes 00 to 400 N and longitudes 600 to 1000 E and 10x10 mean free-air anomalies within these limits. The anomalies partly computed by Survey of India and mostly collected from other
sources (such as B.G.I.) were utilised for this purpose.
The astro-geodetic geoid is based on the astronomical data observed in India up to 1978. 相似文献
20.
Since the publication of the Earth gravitational model (EGM)96 considerable improvements in the observation techniques resulted
in the development of new improved models. The improvements are due to the availability of data from dedicated gravity mapping
missions (CHAMP, GRACE) and to the use of 5′ × 5′ terrestrial and altimetry derived gravity anomalies. It is expected that
the use of new EGMs will further contribute to the improvement of the resolution and accuracy of the gravity and geoid modeling
in continental and regional scale. To prove this numerically, three representative Earth gravitational models are used for
the reduction of several kinds of data related to the gravity field in different places of the Earth. The results of the reduction
are discussed regarding the corresponding covariance functions which might be used for modeling using the least squares collocation
method. The contribution of the EIGEN-GL04C model in most cases is comparable to that of EGM96. However, the big difference
is shown in the case of EGM2008, due not only to its quality but obviously to its high degree of expansion. Almost in all
cases the variance and the correlation length of the covariance functions of data reduced to this model up to its maximum
degree are only a few percentages of corresponding quantities of the same data reduced up to degree 360. Furthermore, the
mean value and the standard deviation of the reduced gravity anomalies in extended areas of the Earth such as Australia, Arctic
region, Scandinavia or the Canadian plains, vary between −1 and +1 and between 5 and 10 × 10−5 ms−2, respectively, reflecting the homogenization of the gravity field on a regional scale. This is very important in using least
squares collocation for regional applications. However, the distance to the first zero-value was in several cases much longer
than warranted by the high degree of the expansion. This is attributed to errors of medium wavelengths stemming from the lack
of, e.g., high-quality data in some area. 相似文献