Zonal jets in rotating convection with mixed mechanical boundary conditions     

Jonathan M. Aurnou  Moritz H. Heimpel 《Icarus》2004,169(2):492-498

Large-scale zonal flows, as observed on the giant planets, can be driven by thermal convection in a rapidly rotating spherical shell. Most previous models of convectively-driven zonal flow generation have utilized stress-free mechanical boundary conditions (FBC) for both the inner and the outer surfaces of the convecting layer. Here, using 3D numerical models, we compare the FBC case to the case with a stress free outer boundary and a non-slip inner boundary, which we call the mixed case (MBC). We find significant differences in surface zonal flow profiles produced by the two cases. In low to moderate Rayleigh number FBC cases, the main equatorial jet is flanked by a strong, high-latitude retrograde jets in the northern and southern hemispheres. For the highest Rayleigh number FBC case, the equatorial jet is flanked by strong reversed jets as well as two additional large-scale alternating jets at higher latitudes. The MBC cases feature stronger equatorial jets but, much weaker, small-scale alternating zonal flows are found at higher latitudes. Our high Rayleigh number FBC results best compare with the zonal flow pattern observed on Jupiter, where the equatorial jet is flanked by strong retrograde jets as well as small-scale alternating jets at high latitude. In contrast, the MBC results compare better with the observed flow pattern on Saturn, which is characterized by a dominant prograde equatorial jet and a lack of strong high latitude retrograde flow. This may suggest that the mechanical coupling at the base of the jovian convection zone differs from that on Saturn.  相似文献   

Impact of GOCE Level 1b data reprocessing on GOCE-only and combined gravity field models     

Roland Pail  Thomas Fecher  Michael Murböck  Moritz Rexer  Monika Stetter  Thomas Gruber  Claudia Stummer 《Studia Geophysica et Geodaetica》2013,57(2):155-173

The reprocessing of Gravity field and steady-state Ocean Circulation Explorer (GOCE) Level 1b gradiometer and star tracker data applying upgraded processing methods leads to improved gravity gradient and attitude products. The impact of these enhanced products on GOCE-only and combined GOCE+GRACE (Gravity Recovery and Climate Experiment) gravity field models is analyzed in detail, based on a two-months data period of Nov. and Dec. 2009, and applying a rigorous gravity field solution of full normal equations. Gravity field models that are based only on GOCE gradiometer data benefit most, especially in the low to medium degree range of the harmonic spectrum, but also for specific groups of harmonic coefficients around order 16 and its integer multiples, related to the satellite’s revolution frequency. However, due to the fact that also (near-)sectorial coefficients are significantly improved up to high degrees (which is caused mainly by an enhanced second derivative in Y direction of the gravitational potential — V_YY), also combined gravity field models, including either GOCE orbit information or GRACE data, show improvements of more than 10% compared to the use of original gravity gradient data. Finally, the resulting gradiometry-only, GOCE-only and GOCE+GRACE global gravity field models have been externally validated by independent GPS/levelling observations in selected regions. In conclusion, it can be expected that several applications will benefit from the better quality of data and resulting GOCE and combined gravity field models.  相似文献   

Robust Data Worth Analysis with Surrogate Models     

Moritz Gosses  Thomas Wöhling 《Ground water》2021,59(5):728-744

Highly detailed physically based groundwater models are often applied to make predictions of system states under unknown forcing. The required analysis of uncertainty is often unfeasible due to the high computational demand. We combine two possible solution strategies: (1) the use of faster surrogate models; and (2) a robust data worth analysis combining quick first-order second-moment uncertainty quantification with null-space Monte Carlo techniques to account for parametric uncertainty. A structurally and parametrically simplified model and a proper orthogonal decomposition (POD) surrogate are investigated. Data worth estimations by both surrogates are compared against estimates by a complex MODFLOW benchmark model of an aquifer in New Zealand. Data worth is defined as the change in post-calibration predictive uncertainty of groundwater head, river-groundwater exchange flux, and drain flux data, compared to the calibrated model. It incorporates existing observations, potential new measurements of system states (“additional” data) as well as knowledge of model parameters (“parametric” data). The data worth analysis is extended to account for non-uniqueness of model parameters by null-space Monte Carlo sampling. Data worth estimates of the surrogates and the benchmark suggest good agreement for both surrogates in estimating worth of existing data. The structural simplification surrogate only partially reproduces the worth of “additional” data and is unable to estimate “parametric” data, while the POD model is in agreement with the complex benchmark for both “additional” and “parametric” data. The variance of the POD data worth estimates suggests the need to account for parameter non-uniqueness, like presented here, for robust results.  相似文献   

The relation between degree-2160 spectral models of Earth’s gravitational and topographic potential: a guide on global correlation measures and their dependency on approximation effects     

Christian?HirtEmail author  Moritz?Rexer  Sten?Claessens  Reiner?Rummel 《Journal of Geodesy》2017,91(10):1179-1205

Comparisons between high-degree models of the Earth’s topographic and gravitational potential may give insight into the quality and resolution of the source data sets, provide feedback on the modelling techniques and help to better understand the gravity field composition. Degree correlations (cross-correlation coefficients) or reduction rates (quantifying the amount of topographic signal contained in the gravitational potential) are indicators used in a number of contemporary studies. However, depending on the modelling techniques and underlying levels of approximation, the correlation at high degrees may vary significantly, as do the conclusions drawn. The present paper addresses this problem by attempting to provide a guide on global correlation measures with particular emphasis on approximation effects and variants of topographic potential modelling. We investigate and discuss the impact of different effects (e.g., truncation of series expansions of the topographic potential, mass compression, ellipsoidal versus spherical approximation, ellipsoidal harmonic coefficient versus spherical harmonic coefficient (SHC) representation) on correlation measures. Our study demonstrates that the correlation coefficients are realistic only when the model’s harmonic coefficients of a given degree are largely independent of the coefficients of other degrees, permitting degree-wise evaluations. This is the case, e.g., when both models are represented in terms of SHCs and spherical approximation (i.e. spherical arrangement of field-generating masses). Alternatively, a representation in ellipsoidal harmonics can be combined with ellipsoidal approximation. The usual ellipsoidal approximation level (i.e. ellipsoidal mass arrangement) is shown to bias correlation coefficients when SHCs are used. Importantly, gravity models from the International Centre for Global Earth Models (ICGEM) are inherently based on this approximation level. A transformation is presented that enables a transformation of ICGEM geopotential models from ellipsoidal to spherical approximation. The transformation is applied to generate a spherical transform of EGM2008 (sphEGM2008) that can meaningfully be correlated degree-wise with the topographic potential. We exploit this new technique and compare a number of models of topographic potential constituents (e.g., potential implied by land topography, ocean water masses) based on the Earth2014 global relief model and a mass-layer forward modelling technique with sphEGM2008. Different to previous findings, our results show very significant short-scale correlation between Earth’s gravitational potential and the potential generated by Earth’s land topography (correlation +0.92, and 60% of EGM2008 signals are delivered through the forward modelling). Our tests reveal that the potential generated by Earth’s oceans water masses is largely unrelated to the geopotential at short scales, suggesting that altimetry-derived gravity and/or bathymetric data sets are significantly underpowered at 5 arc-min scales. We further decompose the topographic potential into the Bouguer shell and terrain correction and show that they are responsible for about 20 and 25% of EGM2008 short-scale signals, respectively. As a general conclusion, the paper shows the importance of using compatible models in topographic/gravitational potential comparisons and recommends the use of SHCs together with spherical approximation or EHCs with ellipsoidal approximation in order to avoid biases in the correlation measures.  相似文献   

Impacts of Land Degradation on Historical Temperature Records from the Sonoran Desert   总被引：1，自引：0，他引：1  

Robert C. Balling Jr.  Jeffrey M. Klopatek  Mark L. Hildebrandt  Cherie K. Moritz  Christopher J. Watts 《Climatic change》1998,40(3-4):669-681

Previous research revealed that severe overgrazing and resultant land degradation in the semiarid areas of northern Mexico created significantly higher temperatures in the border area. In this investigation, the temperature and precipitation records from ten homogeneous stations are identified in the arid and hyperarid areas of northwest Sonora and are compared with the records from ten stations in southwestern Arizona. Our data show that the Mexican stations are again consistently warmer than the Arizona stations when statistical controls are applied to correct for the linear or non-linear effects of latitude and/or elevation. The stations in Sonora warm at a statistically significantly faster pace than the stations in Arizona during the study period. Furthermore, and consistent with other dryland areas undergoing land degradation, the stations in Sonora reveal a significant increase in the diurnal temperature range during the summer season. Local precipitation reduces the temperature differential between nations on the time scale of days, but enhances the differential on the time scale of months and seasons. Among other findings, the results show how land degradation in dryland areas appears to influence local historical temperature records.  相似文献   

Isotopic composition of strontium in the Valle de Tena (Spanish Central Pyrenees) fluorite deposits: relevance for the source of elements and genetic significance     

I. Subías  R. Moritz  C. Fernández-Nieto 《Mineralium Deposita》1998,33(4):416-424

The fluorite deposits of the Valle de Tena, Central Pyrenees, include stratabound (Portalet) and vein (Lanuza and Tebarray) deposits the formation of which are linked to a Namurian-Westfalian emersion episode and to post-Hercynian hydrothermal systems similar to those occurring elsewhere in Hercynian Europe. In this study, strontium isotopes were used to determine the source(s) of strontium, and by inference calcium, of the fluorite mineralizations, as well as the nature of the ore-forming fluids. Fluorite and calcite from each deposit have similar ⁸⁷Sr/⁸⁶Sr ratios (Portalet 0.7085–0.7108; Lanuza 0.7086–0.7104 and Tebarray 0.7086–0.7101). In all deposits, the Sr isotope composition of most of the Ca-minerals is more radiogenic than that of the host limestones. This indicates that the Ca-minerals contain a mixture of Sr derived locally from the host limestones and ⁸⁷ Sr-enriched Sr leached from silicate minerals in the siliciclastic portion of the basement sequence and in granites from the study area. Volcanic rocks are ruled out as a significant Sr source for the fluorite deposits. The observed trend in ⁸⁷Sr/⁸⁶Sr versus 1/Sr support a fluid-rock interaction model which satisfactorily reproduces the marked ⁸⁷Sr-enrichment in the fluorites and calcites from the deposits. Received: 19 February 1997 / Accepted: 22 July 1997  相似文献   

Theory of Errors and Generalized Matrix Inverses | A. Bjerhammar, 1973. Elsevier,Amsterdam, 420 pp., Dfl. 125.00     

H. Moritz 《Earth》1974,10(3):247

  相似文献   

Antibetische Faltungen im Gibraltarbogen     

Moritz M. Blumenthal 《International Journal of Earth Sciences》1935,26(6):424-429

Zusammenfassung In einer zu den inneren Gebirgsketten der betischen Cordilleren extern gelegenen Zone stellen sich vielerorts Faltungen von zum Teil bedeutendem Ausmaß ein, die gegen den Hauptstamm des Gebirges gerichtet sind; sie werden als antibetische Faltungen bezeichnet. Solche finden sich auch in dem Flyschgebiet auf der Außenseite des Bogens von Gibraltar. Sie ordnen sich westlich Algeciras in eine Faltenschar ein, deren Konvexität im Grundriß gegen E gerichtet ist.  相似文献   

Erratum     

H. Moritz 《Journal of Geodesy》1981,55(4):IV-IV

  相似文献   

Geodetic Reference System 1980   总被引：2，自引：2，他引：2  

H. Moritz 《Journal of Geodesy》1992,66(2):187-192

  相似文献