Answers to the comments by M. Vermeer on L. E. Sjöberg (2007) “The topographic bias by analytical continuation in physical geodesy” J Geod 81:345–350     

Lars E. Sjöberg 《Journal of Geodesy》2008,82(7):451-452

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Geodetic intersection on the ellipsoid     

Lars E. Sjöberg 《Journal of Geodesy》2008,82(9):565-567

Through each of two known points on the ellipsoid a geodesic is passing in a known azimuth. We solve the problem of intersection of the two geodesics. The solution for the latitude is obtained as a closed formula for the sphere plus a small correction, of the order of the eccentricity of the ellipsoid, which is determined by numerical integration. The solution is iterative. Once the latitude is obtained, the longitude is determined without iteration.  相似文献   

Influence of the Load Wavelength on the Permeability of a Viscosity Interface in the Mantle     

Čížková  Hana  Čadek  Ondřej  van den berg  Arie P. 《Studia Geophysica et Geodaetica》1997,41(1):64-72

Assuming a radially stratified Newtonian mantle in a steady-state approximation, we demonstrate that the permeability of a viscosity interface at 660-km depth strongly depends on the wavelength of buoyancy forces driving the flow. The flow induced by long-wavelength loads penetrates through the boundary freely even if the viscosity increases by two orders. In contrast, the boundary is practically impermeable for short-wavelength loads located in the upper mantle. Thus, a stepwise increase of viscosity is a significant obstacle for small descending features in the upper mantle, but huge upper mantle downwellings, or upwellings formed in the-lower mantle can overcome it easily. This indicates that certain care is necessary in interpreting the seismic structure of the mantle by means of flow models. The global tomographic image includes only the first few degrees of the harmonic series and, consequently, its interpretation in terms of a present-day flow field results in a predominantly whole-mantle circulation even for extreme viscosity contrasts.  相似文献   

Land uplift near Vatnajökull, Iceland, as observed by GPS in 1992, 1996 and 1999     

Lars E. Sjöberg  Ming Pan  Sigurdur Erlingsson  Erick Asenjo  Kolbeinn Arnason 《Geophysical Journal International》2004,159(3):943-948

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Magnetostratigraphy in the vicinity of the cretaceous-tertiary boundary in Limhamn,southern Sweden     

Bo A. Sjöberg 《Studia Geophysica et Geodaetica》1994,38(4):359-374

Summary A magnetostratigraphic subdivision of the Danian and Upper Maastrichtian at Limhamn, souternmost Sweden, based upon 63 samples from drill cores (only up and down is known), is proposed. The boundary between the Maastrichtian and the Danian — situated in chron 29R — was determined by means of nanofossils. It is marked by a hardground surface indicating a hiatus with an estimated duration of 100 ka. The presence of chron 28R at the top of the Limhamn rock sequence and chron 30R in the Maastrichtian is indicated by single samples with reversed polarity. Net sedimentation rates have been calculated on the basis of the proposed magnetochronozones. the highest net sedimentation rate is found in the Danian part of chron 29R.  相似文献   

Retention of U and Pb in zircons from shocked granite in the Siljan impact structure,Sweden     

Göran berg  Bengt Bollmark 《Earth and Planetary Science Letters》1985,74(4):347-349

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Temperature dependence of calcite dissolution kinetics between 1 and 62°C at pH 2.7 to 8.4 in aqueous solutions   总被引：1，自引：0，他引：1  

E.Lennart Sjöberg  David T. Rickard 《Geochimica et cosmochimica acta》1984,48(3):485-493

The kinetics of calcite dissolution in aqueous KCl-solutions far from equilibrium, between 1 and 62°C in the pH-range 2.7 to 8.4 have been investigated using a rotating disc apparatus. At neutral and alkaline pH in the mixed kinetic regime the empirical apparent activation energy (EAAE) for the surface chemical reaction rate constant is 54 ± 4 kJ mole^?1 for Carrara marble and 46 ± 4 kJ mole^?1 for Iceland spar. Under similar conditions the EAAE of the transport rate constant increases with decreasing temperature, but has a mean value of 27 ± 2 kJ mole^?1. The corresponding diffusion coefficient has a mean EAAE of 37 ± 3 kJ mole^?1 and this high EAAE is consistent with transport dependence on product diffusion in this H⁺-independent regime.In contrast, in acid solutions, where the rate approaches end-member transport control, the EAAE of the diffusion coefficient is 16 kJ mole^?1, also decreasing with increasing temperature. This is compatible with H⁺-diffusion to the surface being rate-controlling.In inhibitor-free natural systems, calcite dissolution kinetics far from equilibrium can be described in terms of three regimes: an H⁺-dependent regime (pH < 4 at 25°C), a transition regime (4 < pH < 5.5 at 25°C) and an H⁺-independent regime (pH > 5.5 at 25°C). At lower temperatures these boundaries move to higher pH values. The presence of inhibitors in natural systems may enhance surface controlled kinetics.  相似文献   

Topographic and atmospheric corrections of gravimetric geoid determination with special emphasis on the effects of harmonics of degrees zero and one     

L. E. Sjöberg 《Journal of Geodesy》2001,75(5-6):283-290

 The topographic and atmospheric effects of gravimetric geoid determination by the modified Stokes formula, which combines terrestrial gravity and a global geopotential model, are presented. Special emphasis is given to the zero- and first-degree effects. The normal potential is defined in the traditional way, such that the disturbing potential in the exterior of the masses contains no zero- and first-degree harmonics. In contrast, it is shown that, as a result of the topographic masses, the gravimetric geoid includes such harmonics of the order of several centimetres. In addition, the atmosphere contributes with a zero-degree harmonic of magnitude within 1 cm. Received: 5 November 1999 / Accepted: 22 January 2001  相似文献   

A new technique to determine geoid and orthometric heights from satellite positioning and geopotential numbers   总被引：1，自引：0，他引：1  

L. E. Sjöberg 《Journal of Geodesy》2006,80(6):304-312

This paper takes advantage of space-technique-derived positions on the Earth’s surface and the known normal gravity field to determine the height anomaly from geopotential numbers. A new method is also presented to downward-continue the height anomaly to the geoid height. The orthometric height is determined as the difference between the geodetic (ellipsoidal) height derived by space-geodetic techniques and the geoid height. It is shown that, due to the very high correlation between the geodetic height and the computed geoid height, the error of the orthometric height determined by this method is usually much smaller than that provided by standard GPS/levelling. Also included is a practical formula to correct the Helmert orthometric height by adding two correction terms: a topographic roughness term and a correction term for lateral topographic mass–density variations.  相似文献   

The topographic bias by analytical continuation in physical geodesy     

L. E. Sjöberg 《Journal of Geodesy》2007,81(5):345-350

This study emphasizes that the harmonic downward continuation of an external representation of the Earth’s gravity potential to sea level through the topographic masses implies a topographic bias. It is shown that the bias is only dependent on the topographic density along the geocentric radius at the computation point. The bias corresponds to the combined topographic geoid effect, i.e., the sum of the direct and indirect topographic effects. For a laterally variable topographic density function, the combined geoid effect is proportional to terms of powers two and three of the topographic height, while all higher order terms vanish. The result is useful in geoid determination by analytical continuation, e.g., from an Earth gravity model, Stokes’s formula or a combination thereof.  相似文献