Integer aperture bootstrapping: a new GNSS ambiguity estimator with controllable fail-rate

In this contribution, we introduce a new bootstrap-based method for Global Navigation Satellite System (GNSS) carrier-phase ambiguity resolution. Integer bootstrapping is known to be one of the simplest methods for integer ambiguity estimation with close-to-optimal performance. Its outcome is easy to compute due to the absence of an integer search, and its performance is close to optimal if the decorrelating Z-transformation of the LAMBDA method is used. Moreover, the bootstrapped estimator is presently the only integer estimator for which an exact and easy-to-compute expression of its fail-rate can be given. A possible disadvantage is, however, that the user has only a limited control over the fail-rate. Once the underlying mathematical model is given, the user has no freedom left in changing the value of the fail-rate. Here, we present an ambiguity estimator for which the user is given additional freedom. For this purpose, use is made of the class of integer aperture estimators as introduced in Teunissen (2003). This class is larger than the class of integer estimators. Integer aperture estimators are of a hybrid nature and can have integer outcomes as well as non-integer outcomes. The new estimator is referred to as integer aperture bootstrapping. This new estimator has all the advantages known from integer bootstrapping with the additional advantage that its fail-rate can be controlled by the user. This is made possible by giving the user the freedom over the aperture of the pull-in region. We also give an exact and easy-to-compute expression for its controllable fail-rate.     

Hydrothermale Lösungen

Zusammenfassung Das hydrothermale Auflösungsverhalten der vorwiegend als Gangarten auf-tretenden Mineralphasen Fluorit (CaF₂), Baryt (BaSO₄), Cölestin (SrSO₄) und Anglesit (PbSO₄) läßt sich übersichtlich in einem Temperatur-Löslichkeitsdiagramm darstellen und mit dem bekannten, qualitativ ähnlichen System SiO₂-H₂O vergleichen.Gegenüber dem molekulardispers gelösten SiO₂ ergeben sich aber für die in Ionen dissoziierten Lösungen der schwerlöslichen Sulfate und des Fluorits beträchtliche Verschiebungen der Sättigungsgleichgewichte, insbesondere bei Anwesenheit von Elektrolyten als Lösungsgenossen.Diese Beeinflussung, die für die genetischen Verhältnisse der Minerallagerstätten von entscheidender Bedeutung ist, wird für 0,1–2,0 normale NaCl-Lösungen im NaCl-Konzentrations-Löslichkeits-Diagramm der Minerale Fluorit, Baryt, Cölestin und Anglesit isotherm bis zum Siedepunkt der wäßrigen Mischphasen untersucht.Ferner wird das Löslichkeitsverhalten in den ternären Systemen BaSO₄-NaCl-H₂O und SrSO₄-NaCl-H₂O für Baryt und Cölestin gegen 2,0n NaCl-Lösungen entlang der Grenzkurve des Dreiphasengebietes und für die Isochoren 0,326 bis 0,6 bis 600° C und 2000 Bar dargestellt und mit den entsprechenden Verhältnissen der reinen wäßrigen Systeme verglichen.Ein abweichendes inkongruentes Auflösungsverhalten von Alumosilikaten mit Schichtgitterstruktur läßt sich am Beispiel des Muskovits durch die experimentelle Bestimmung der nichtstöchiometrischen Molekularverhältnisse SiO₂/K₂O und SiO₂/Al₂O₃ in den gesättigten Lösungen für den hydrothermalen Existenzbereich des Muskovits nachweisen.

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The behaviour of solubility for some minerals, which were for the most part found as vein minerals, was determined experimentally and is represented by summarizing diagrams.In the temperature-solubility diagram the hydrothermal solubility of fluorite, barite, celestine and anglesite is compared to the solubility of quartz and muskovite for the boundary curve of the three-phase region and for some isochores. As opposed to SiO₂, which is molecularly dispersed in solution, the ionic solutions of the systems CaF₂-H₂O, BaSO₄-H₂O, SrSO₄-H₂O and PbSO₄-H₂O show considerable displacement of the saturation equilibrium when other components are present in the solution.This influence on the solubility, significant for the genetic relations of mineral deposits, was quantitatively analyzed for 0.1–0.2 n-NaCl solutions. The results are isothermally shown in the NaCl-concentration solubility diagram within the boundaries of room temperature and the boiling point of the aqueous mixed phases.In the tenary systems BaSO₄-NaCl-H₂O and SrSO₄-NaCl-H₂O, the hydro-thermal solubility of barite and celestine in 2.0 n-NaCl solutions is also shown for the range of the boundary curve of the three-phase region and for the isochores 0.326–0.6 up to a temperature of 600° C and a pressure of 2000 bar. These solubilities are then compared with the diagrams of solubility for pure aqueous solutions.The irregular and incongruent behaviour of the solubility of aluminium-silicates of a layered-lattic structure is demonstrated for the system KAl₂(OH)₂-AlSi₂O₁₀-H₂O in the presence of muscovite by experimental determination of the non-stoechiometric molecular proportions of SiO₂K₂O and SiO₂ Al₂O₃. Such determination was conducted in saturated solutions for the hydrothermal range of the existence of muscovite.The geological importance of the knowledge of hydrothermal data of solubility and their application to the process of the hydrothermalmagmatic series and hydrothermalmetamorphosis is discussed.

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Résumé Le comportement de dissolution expérimentalement déterminé de certains minéraux trouvés surtout en filons est exposé en le résumant par diagrammes.La solubilité hydrothermique de fluorine, barytine, célestine et anglésite est comparée pour la courbe limitante (de la région triphasée) et pour les isochores 0,326–0,6 g.cm³ du diagramme température-solubilité avec le comportement de dissolution du quartz et de la muscovite. Les solutions ioniques des systèmes CaF₂H₂O, BaSO₄-H₂O, SrSO₄-H₂O et PbSO₄-H₂O montrent, comparées au SiO₂ dissous en dispersion moléculaire, de différences importantes d'équilibres de saturation en présence d'associés de solution.Cette influence sur la solubilité qui est d'une importance décisive pour les conditions génétiques des gisements de minéraux, a été examinée quantitativement pour les solutions 0,1–0,2—normales de NaCl. La présentation s'est faite isothermiquement dans le diagramme de concentration-solubilité de NaCl entre la température de chambre et le point d'ébullition des phases mixtes aqueuses.Dans les systèmes ternaires BaSO-NaCl-H₂O et SrSO₄-NaCl-H₂O la solubilité hydrothermique de barytine et de célestine en des solutions 2,0-normales de NaCl est présentée également pour l'espace des courbes limitantes de la région triphase et pour les isochores 0,326–0,6 jusqu'à 600° C et 2000 Bar. Elle est comparée avec les courbes de solubilité de systèmes purement aqueux. Le comportement de dissolution divergeant incongruent des silicates d'alumine à structure stratifiée en treillis est démontré pour le systême KAl₂(OH)₂-AlSi₃O₁₀-H₂O par exemple de la muscovite en déterminant expérimentalement les proportions moléculaires non-stochiométriques SiO₂ K₂O et SiO₂Al₂O₃ dans les solutions saturées pour la domaine d'existence hydrothermique de la muscovite.Importance géologique de la connaissance des dates de solubilité hydrothermique et leur application sur les événements des conséquences hydrothermiques-magmatiques et sur les événements de la métamorphose hydrothermique sont discutées.

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y 600° 2000 . (CaF₂), ( SO₄), . (SrSO₄) (PbSO₄) - Sio₂-₂.

     

Ice and climate modeling: An editorial essay

The growth and decay of ice sheets are driven by forces affecting the seasonal cycles of snowfall and snowmelt. The external forces are likely to be variations in the earth's orbit which cause differences in the solar radiation received. Radiational control of snowmelt is modulated by the seasonal cycles of snow albedo and cloud cover. The effects of orbital changes can be magnified by feedbacks involving atmospheric CO₂ content, ocean temperatures and desert areas. Climate modeling of the causes of the Pleistocene ice ages involves modeling the interactions of all components of the climate system; snow, sea ice, glacier ice, the ocean, the atmosphere, and the solid earth. Such modeling is also necessary for interpreting oxygen isotope records from ice and ocean as paleoclimatic evidence.     

Isotopic signatures of deposition and transformation of Lower Cambrian saliferous rocks in the Irkutsk amphitheater: Communication 1. Sulfur isotopic composition

New isotope data on Lower Cambrian rocks of the Irkutsk amphitheater are reported in three communications. The first communication is devoted to the sulfur isotopic composition, which is most sensitive to ostsedimentary geochemical transformations of sulfate rocks in saliferous formations. It is shown that δ³⁴S values in Bel’sk and Zhigalovo boreholes are within 22–35‰ The lowest values are close to the sulfur isotopic composition of a halogenic basin, while the highest values are related to epigenetic sulfate reduction. This process was responsible for the elimination of 100 m of anhydrites from the Lower Cambrian section.     

Interaction between lateral sorting in river bends and vertical sorting in dunes

Sediment is sorted in river bends under the influence of gravity that pulls the heavier grains downslope and secondary flow that drags the finer grains upslope. Furthermore, when dunes are present, sediment is also sorted vertically at the dune lee side. However, sorting functions are poorly defined, since the relation to transverse bed slope and the interaction between lateral and vertical sorting is not yet understood for lack of data under controlled conditions. The objective of this study is to describe lateral sorting as a function of transverse bed slope and to gain an understanding of the interaction between lateral and vertical sorting in river bends. To this end, experiments were conducted with a poorly sorted sediment mixture in a rotating annular flume in which secondary flow intensity can be controlled separately from the main flow velocity, and therefore transverse bed slope towards the inner bend and dune dimensions can be systematically varied. Sediment samples were taken along cross-sections at the surface of dune troughs and dune crests, and over the entire depth at the location of dune crests (bulk samples), which enabled comparison of the relative contribution of vertical sorting by dunes to lateral sorting by the transverse bed slope. The data show that lateral sorting is always the dominant sorting mechanism in bends, and bulk samples showed minor effects of vertical sorting by dunes as long as all grain-size fractions are mobile. An empirical bend sorting model was fitted that redistributes the available sediment fractions over the cross-section as a function of transverse bed slope. Comparison with field data showed that the model accurately reproduces spatially-averaged trends in sorting at the bend apex in single-thread channels. The bend sorting model therefore provides a better definition of bend sorting with conservation of mass by size fraction and adds to current understanding of bend sorting. The implication for numerical modelling is that bend sorting mechanisms can be modelled independently of dunes, allowing the application of the active layer concept.     

Age of the Marwar Supergroup,NW India:A note on the U–Pb geochronology of Jodhpur Group felsic volcanics

The Marwar Supergroup(NW Peninsular India)is thought to be of Ediacaran-Cambrian age,based on previous paleontological and geochronological studies.However,direct constraints on the onset of sedimentation within the Marwar basin are still scarce.In this study,we report U–Pb zircon,LA-ICP-MS,and SIMS ages from the Chhoti Khatu felsic volcanic rocks,interlayered with the Jodhpur Group sandstones(Lower Marwar Supergroup).The cathodoluminescence images of the zircons indicate complex morphologies,and core-rim textures coupled with the wide range of ages indicate that they are likely inherited or in the case of thin poorly indurated ash-beds,detrital in origin.The age spectra of 68 zircon analyses from our sampling display a dominant 800–900 Ma age peak corresponding to the age of basement"Erinpura granite"rocks in the region.The youngest inherited zircon from a felsic ash layer yielded a U–Pb age of651 Ma±18 Ma that,together with previous studies and paleontological evidence,indicates a postCryogenian age for the initiation of Marwar sedimentation following a~125 Ma hiatus between the end of Malani magmatism and Marwar deposition.     

Late Precambrian rifting in the geological history of the western slope of the South Urals

The rift-related geodynamic setting of the Late Precambrian geological evolution on the western slope of the South Urals is reconstructed on the basis of localization of lithotectonic complexes of this age, their formation conditions, and the geochemistry of rocks. The Early Riphean stage comprises accumulation of coarse-clastic rocks intercalating with alkaline volcanic rocks of the Navysh Complex, which is a constituent of the Ai Formation, and emplacement of doleritic and picritic intrusions of the Shuida Complex and melanocratic dolerite and gabbrodolerite of the Yusha Complex. The Middle Riphean stage is characterized by wide-spread coarse-clastic terrigenous rocks of the Mashak Formation that intercalate with volcanic rocks of the bimodal basalt-rhyolite association, the Berdyaush pluton of rapakivi granite, the Kusa-Kopan layered intrusive complex, the Lapyshta Complex of dolerites and picrites, and numerous occurrences of gabbrodolerites. The terrigenous rocks of the Vendian stage include conglomerate, gravelstone, and sandstone of the Asha Group, while igneous rocks comprise alkaline volcanics of the Arsha Complex, alkali gabbroids of the Miseli Complex, and melanocratic syenite of the Avashla Complex. The geological evolution of the region is distinguished by local (failed or aborted) rifting. The occurrence of lithotectonic complexes is controlled by dynamic conditions of rifting. A certain inheritance in the evolution may be traced for the Early and Middle Riphean and partly for the Late Riphean and Vendian.     

Analysis of some aromatic hydrocarbons in a benzene-soluble bitumen from Green River shale

The hydrocarbon content of an aromatic fraction, isolated from the bitumen of Green River shale, was studied by mass spectrometry, infra-red spectrometry, gas chromatography and a dehydrogenation technique. The hydrocarbon types and their distribution in this aromatic fraction, as determined by mass spectrometry, include the following: C_nH_2n?6(10%), C_nH_{2n?8 (31 %)}, C_nH_2n?10(18%), C_nH_2n?12(12%), C_nH_2n?14(8%) and a series of alkenylbenzenes (20%). The carbon-number range, empirical formulae and quantity of each compound in the major types are reported. Mass spectra of several compounds and homologous mixtures of compounds isolated from the aromatic fraction are also given.