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41.
A geoid solution for airborne gravity data 总被引：2，自引：0，他引：2
Airborne gravity data is usually attached with satellite positioning of data points, which allow for the direct determination
of the gravity disturbance at flight level. Assuming a suitable gridding of such data, Hotine’s modified integral formula
can be combined with an Earth Gravity Model for the computation of the disturbing potential (T) at flight level. Based on
T and the gravity disturbance data, we directly downward continue T to the geoid, and we present the final solution for the
geoid height, including topographic corrections. It can be proved that the Taylor expansion of T converges if the flight level
is at least twice the height of the topography, and the terrain potential will not contribute to the topographic correction.
Hence, the simple topographic bias of the Bouguer shell yields the only topographic correction. Some numerical results demonstrate
the technique used for downward continuation and topographic correction. 相似文献
42.
Åsa Bengtsson Andrei Shchukarev Per Persson Staffan Sjöberg 《Geochimica et cosmochimica acta》2009,73(2):257-259
The dissolution and surface complexation of a non-stoichiometric hydroxyapatite (Ca8.4(HPO4)1.6(PO4)4.4(OH)0.4), (HAP) was studied in the pH range 3.5-10.5, at 25 °C in 0.1 M Na(Cl). The results from well-equilibrated batch experiments, potentiometric titrations, and zeta-potential measurements were combined with information provided by Attenuated Total Reflectance Fourier Transform Infrared (ATR-FTIR) spectroscopy and X-ray Photoelectron Spectroscopy (XPS). The information from the analyses was used to design an equilibration model that takes into account dissolution, surface potential, solution and surface complexation, as well as possible phase transformations. The results from the XPS measurements clearly show that the surface of the mineral has a different composition than the bulk and that the Ca/P ratio of the surface layer is 1.4 ± 0.1. This ratio was also found in solution in the batches equilibrated at low pH where the dominating reaction is dissolution. In the batches equilibrated at near neutral pH values, however, the Ca/P ratio in solution attains values as high as 25, which is due to re-adsorption of phosphate ions to the HAP surface. The total concentration of protons as well as the total concentration of dissolved calcium and phosphate in solution were used to calculate a model for the dissolution and surface complexation of HAP. The constant capacitance model was applied in designing the following surface complexation model:
43.
The classical integral formula for determining the indirect effect in connection with the Stokes–Helmert method is related
to a planar approximation of the sea level. A strict integral formula, as well as some approximations to it, are derived.
It is concluded that the cap- size truncated integral formulas will suffer from the omission of some long-wavelength contributions,
of the order of 50 cm in high mountains for the classical formula. This long-wavelength information can be represented by
a set of spherical harmonic coefficients of the topography to, say, degree and order 360. Hence, for practical use, a combination
of the classical formula and a set of spherical harmonics is recommended.
Received: 10 March 1998 / Accepted: 16 November 1998 相似文献
44.
G. Öberg 《洁净——土壤、空气、水》1998,26(3):137-144
Chloride is ubiquitous in soil, but the past years of research have revealed that organic matter also contains chlorine, in amounts similar to that of phosphorus. Hence, one of the major constituents of soil organic matter has previously been overlooked, and still very little is known about the turnover of organic chlorine in soil. In spite of the obvious connection between chloride and organic chlorine, organic chlorine rarely is considered when the biogeochemical cycling of chloride is in focus, and chloride rarely is taken into account when the occurrence and formation of natural organic chlorine compounds are in focus. The aim of the paper is to review ten years of research concerning the biogeochemical cycling of organic chlorine in soil, and to tie the biogeochemical cycling of organic chlorine to that of chloride. 相似文献
45.
The hydrolysis of silicic acid, Si(OH)4, was studied in a simplified seawater medium (0.6 M Na(Cl)) at 25°C. The measurements were performed as potentiometric titrations (hydrogen electrode) in which OH? was generated coulometrically. The total concentration of Si(OH)4, B, and log[H+] were varied within the limits 0.00075 ? B ? 0.008 M and 2.5 ? -log[H+] ? 11.7, respectively. Within these ranges the formation of SiO(OH)3? and SiO2(OH)22? with formation constants log β?11(Si(OH)4 ? SiO(OH)3? + H+) = ?9.472 ±0.002 and log β?21(Si(OH)4 ? SiO2(OH)22? + 2H+) = ?22.07 ± 0.01 was established. With B > 0.003 M polysilicate complexes are formed, however, with their formation does not significantly affect the evaluated formation constants. Data were analyzed with the least squares computer program LETAGROPVRID. 相似文献
46.
In precise geoid determination by Stokes formula, direct and primary and secondary indirect terrain effects are applied for
removing and restoring the terrain masses. We use Helmert's second condensation method to derive the sum of these effects,
together called the total terrain effect for geoid. We develop the total terrain effect to third power of elevation H in the original Stokes formula, Earth gravity model and modified Stokes formula. It is shown that the original Stokes formula,
Earth gravity model and modified Stokes formula all theoretically experience different total terrain effects. Numerical results
indicate that the total terrain effect is very significant for moderate topographies and mountainous regions. Absolute global
mean values of 5–10 cm can be reached for harmonic expansions of the terrain to degree and order 360. In another experiment,
we conclude that the most important part of the total terrain effect is the contribution from the second power of H, while the contribution from the third power term is within 9 cm.
Received: 2 September 1996 / Accepted: 4 August 1997 相似文献
47.
This study evaluates the effects of deforestation and land-use change, as compared to natural controls, on stream water chemistry in the Subandean Amazon. Dissolved major and trace elements were determined near the stream outlet of 48 independent watersheds with varying morphology, bed rock composition and intactness of forest cover (pristine to highly exploited). Geomorphological characteristics were derived from a digital elevation model, geological formations from digitalized maps and forest cover from digital classification of SPOT satellite images. Partial least square regression and multiple linear regression showed that watershed average elevation, which ranged between 396 and 1649 m, was the strongest control on stream water chemistry, explaining >70% of the variation in K and a considerable part also for Mn, U, Mg and HCO3 with near exponential concentration increases down the altitude gradient. Forest cover, which ranged between 7% and 99%, correlated strongly with average elevation (Spearman correlation coefficient, rs = 0.8), but had no statistically significant impact on stream solute concentrations. Thus, in the studied Subandean region, watershed scale deforestation has not resulted in measurable impacts on stream water chemistry which is dominated by the spatial variation in natural controls. 相似文献
48.
Chloride (Clinorg) is generally considered to be a hydrologically and chemically inert substance. Past research suggests that Clinorg participates in a complex biogeochemical cycle involving the formation of organically bound chlorine (Clorg). The present study examines whether Clorg cycling is sufficiently extensive as to influence the geochemical cycling of Clinorg. Undisturbed soil cores were collected in a coniferous forest soil in SE Sweden. The cores were stored in climate chambers for three months, irrigated with artificial rain, and the leachate was collected and analysed. The water balance of the lysimeters could be well described, and we found that 20–50% of the chlorine leached from the lysimeters was organically bound and that the amounts lost did not decrease with time. This strongly suggests that a substantial amount of Clorg forms in topsoil, and that subsequent leaching to deeper layers causes a considerable withdrawal of Clinorg. The concentration of both organic carbon and Clorg in the leachate was considerably higher than concentrations observed in the runoff in the actual catchment, suggesting that organic matter precipitates or is mineralized on its way through the soil. Copyright © 2005 John Wiley & Sons, Ltd. 相似文献
49.
O. Sjberg 《Tectonophysics》1990,180(2-4):229-235
The time development of post-glacial uplift is studied for the case when the depressed area is partly covered by water which is connected to the oceans. A simple model with rotational symmetry is used. Land and water areas are found to follow different upheaval curves, where the effect of a water load is to increase the relaxation time. This polarization between land and water areas develops slowly, resulting in a deformation of the Earth's crust. 相似文献
50.
Lars E. Sjöberg 《Studia Geophysica et Geodaetica》2011,55(4):579-588
Today air-gravimetry is a versatile technique to quickly collect gravity data over large regions, where terrestrial gravity
data are sparse and/or of poor quality. The method requires the data to be downward continued to sea level for use in geoid
determination, an inverse problem operation that calls for smoothing of the data and/or the kernel function involved (in either
spectral or space domain). In this purely theoretical study we avoid this separate computational step by performing direct
geoid estimation by so-called spectral combination/filtering of the data, which includes terrestrial gravimetry, airgravimetry,
an Earth Gravitational Model (EGM) as well as their signal and error degree variances. Each derived geoid estimator is presented
as the sum of one or two integral formulas and the harmonic series of the EGM together with the expected mean square error
of the estimator. The article is limited to a theoretical study, leaving its practical tests for future investigation. 相似文献