On the moments of time to first passage of the linear oscillator

The moments of time to first passage of the response process of the linear oscillator excited by a stationary wide-band process are obtained numerically for the symmetric two-sided barrier problem. A recursive set of partial differential equations governing the moments is solved using a Petrov-Galerkin finite element method. Stable, accurate solutions for the first few moments are calculated over a wide range of oscillator damping.     

Experimental Na-K distribution between amphiboles and aqueous chloride solutions, and a mixing model along the richterite – K-richterite join

The cation exchange equilibrium has been investigated by hydrothermal experiments at 700 and 800°C at 200 MPa. To avoid equilibration problems of conventional exchange experiments, we synthesized amphiboles with an excess fluid allowing exchange between solid and fluid during the experiment. The exchangeable cations Na and K were provided as excess 1 to 2n chloridic solution. These exchange syntheses can be described by the reaction equation with ^(aq) for hydroxides and chlorides in aqueous solutions and _{( s )} and _{( p )}?=?start and product fluid. The amphiboles grew in presence of the exchange fluid and adjusted their stoichiometry in equilibrium with the fluid phase. The solid products consist of more than 99% amphibole (Na,K-richterite_ss) with traces of diopside and quartz. The amphiboles are up to 1?mm long and often ≈ 40 μm thick. Detailed EMP- and HRTEM-observations show that they are chemically homogeneous and structurally wellordered. The experimental results give consistent phase relations in the reciprocal ternary system Na-richterite–K-richterite–NaCl–KCl. We analysed the product fluid with AAS- and ICP-methods. The Na-K distribution coefficients between fluid and amphiboles of the richterite–K-richterite join are close to unity at 700°C and 800°C at 200 MPa. Small systematic deviations are explained by a symmetric solution model for the A-position of the amphiboles. Using ideal mixing for H₂O-NaCl-KCl fluids, a mixing model for the system richterite–K-richterite is presented. We suggest that the composition of richterite solid solutions can be used as a sensor for NaCl/KCl-ratios in metamorphic fluids.     

The relation between Cu/Au ratio and formation depth of porphyry-style Cu–Au ± Mo deposits

Constraints on gold and copper ore grades in porphyry-style Cu–Au ± Mo deposits are re-examined, with particular emphasis on published fluid pressure and formation depth as indicated by fluid inclusion data and geological reconstruction. Defining an arbitrary subdivision at a molar Cu/Au ratio of 4.0 × 10⁴, copper–gold deposits have a shallower average depth of formation (2.1 km) compared with the average depth of copper–molybdenum deposits (3.7 km), based on assumed lithostatic fluid pressure from microthermometry. The correlation of Cu/Au ratio with depth is primarily influenced by the variations of total Au grade. Despite local mineralogical controls within some ore deposits, the overall Cu/Au ratio of the deposits does not show a significant correlation with the predominant type of Cu–Fe sulfide, i.e., chalcopyrite or bornite. Primary magma source probably contributes to metal endowment on the province scale and in some individual deposits, but does not explain the broad correlation of metal ratios with the pressure of ore formation. By comparison with published experimental and fluid analytical data, the observed correlation of the Cu/Au ratio with fluid pressure can be explained by dominant transport of Cu and Au in a buoyant S-rich vapor, coexisting with minor brine in two-phase magmatic hydrothermal systems. At relatively shallow depth (approximately <3 km), the solubility of both metals decreases rapidly with decreasing density of the ascending vapor plume, forcing both Cu and Au to be coprecipitated. In contrast, magmatic vapor cooling at deeper levels (approximately >3 km) and greater confining pressure is likely to precipitate copper ± molybdenum only, while sulfur-complexed gold remains dissolved in the relatively dense vapor. Upon cooling, this vapor may ultimately contract to a low-salinity epithermal liquid, which can contribute to the formation of epithermal gold deposits several kilometers above the Au-poor porphyry Cu–(Mo) deposit. These findings and interpretations imply that petrographic inspection of fluid inclusion density may be used as an exploration indicator. Low-pressure brine + vapor systems are favorable for coprecipitation of both metals, leading to Au-rich porphyry–copper–gold deposits. Epithermal gold deposits may be associated with such shallow systems, but are likely to derive their ore-forming components from a deeper source, which may include a deeply hidden porphyry–copper ± molybdenum deposit. Exposed high-pressure brine + vapor systems, or stockwork veins containing a single type of intermediate-density inclusions, are more likely to be prospective for porphyry–copper ± molybdenum deposits.     

Laser-ablation ICP-MS analysis of silicate and sulfide melt inclusions in an andesitic complex I: analytical approach and data evaluation

Quantitative microanalysis of entire silicate and sulfide melt inclusions by Excimer Laser-ablation inductively-coupled-plasma mass-spectrometry (LA-ICPMS) has been applied to extrusive and shallow intrusive rocks from the andesitic Farallón Negro Volcanic Complex (northwestern Argentina). Silicate melts are trapped in pyroxene, amphibole, plagioclase and quartz, and sulfide melts are trapped in amphibole. Details of the analytical approach and the quantification procedure are given and the results are evaluated to test the accuracy of the technique and the validity of the interpretation of analytical signals. Similar compositions of silicate melt inclusions trapped in truly co-precipitating minerals show that the quantification approach of melt inclusion compositions from LA-ICPMS signals through an internal standard is valid. This correspondence also shows that melt inclusions investigated in this study are not significantly influenced by the boundary layer around a growing crystal or by post-entrapment modifications. Post-entrapment diffusive re-equilibration only affected the Fe and Mg content of melt inclusions in mafic phases. Thus, melt inclusions are representative samples of the melt from which the host mineral crystallized, with regard to most major and trace elements. Sulfide melt inclusions (present as pyrrhotite with exsolution of Au and Cu in phases separated during cooling) were analyzed for their bulk Fe, Cu and Au content, and the abundance of these elements was quantified using a silicate glass as external standard. The validity of this calibration was tested by comparing electron microprobe analyses of Fe, Cu, Ni and Co in homogeneous sulfide minerals with LA-ICPMS results. Identical results within calculated uncertainty (one standard deviation of five to nine analyses, mostly between 1 and 5 wt% RSD) demonstrate that for these elements, measured element ratios are independent of the matrix using our analytical setup.Editorial responsibility: T.L. Grove     

Neue Raketen-Windauswertungen

Zusammenfassung Auswertungen von Raketenmessungen aus den Zeiten der Zirkulationsumstellungen oberhalb 20 km in Frühling und Herbst lassen den Mechanismus dieser Umstellungen erkennen. Sie machen es mit Hilfe der Nullschichtkonzeption möglich, Schemata der allgemeinen Zirkulation der aussertropischen Breiten für die Umstellungszeiten zu gewinnen.

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Summary Evaluations of wind measurements of the North American Meteorological Rocket Network gave a picture of seasonal variation of the mean winds in stratosphere and mesosphere. The upper part of Fig. 1 refers to the northern stations (Fort Churchill and Fort Greely), the lower part to all others rocket bases. The periods in which the general circulation changes from west to east and from east to west were investigated by half-month means (Figs. 2–4). With the help of the null layer conception — a persistent wind extrem layer reverses the large scale vertical motion — it was possible to derive a scheme of the general circulation of the nontropical latitudes for spring and fall (Figs. 5-a and b).

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Diese Arbeit wurde unterstützt vom US-Department of the Army, European Research Office, unter Kontrakt Nr. DA-91-591-EUC-2174.     

Stabilität und Labilität im Kaltfrontbereich

Zusammenfassung So wie für das Himmelsbild in einer einheitlichen Luftmasse der vertikale Temperaturgradient die wichtigste Rolle spielt, so erweist sich für den Wetterablauf beim Kaltfrontdurchgang die vertikale Temperaturschichtung im Frontbereich von entscheidender Bedeutung. In den Registrierungen der meteorologischen Elemente zeigt sich meist deutlich der Unterschied zwischen «stabilen» und «labilen» Kaltfronten.

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Summary As significant the part, played by the vertical lapse rate of temperature in the appearance of the sky in uniform airmasses, as determinant for weather conditions during the passage of a cold front is the vertical lapse rate of temperature in the frontal area. Generally, the recordings of meteorological instruments show a pronounced difference between «stable» and «unstable» coldfronts.

     

The role of rock properties in the development of bedrock-incised rills and gullies: Examples from Southern Africa

Physical properties (Schmidt hammer in situ rock strength; degree of weathering; orientation, spacing, width and continuity of joints, bedding planes and faults; groundwater flow) of bedrock-incised rills and gullies were ecamined at selected localities in southern Africa. The resulting data was compared to froms of erosion observed in the field to test for possible influences of rock physical properties on rill and gully development. Bedrock-incised rill erosion occurs at low RMS (Rock Mass Strength) values (40–50). Rills generally do not form where RMS values are high (> 50). Though V-shaped bedrock-incised gullies form in lithologies with a wide range of RMS values (40–69), these values exert strong control on longitudinal morphometry. Future studies should concentrate on establishing a database on properties of erosion forms to aid identification of lithological conditions (e. g. deep regolith) which are potentially susceptible to accelerated erosion.     

Die Karbonatsedimente der Obertrias in den nördlichen Kalkalpen

Zusammenfassung Die Karbonatsedimente des Nor und des Rät in den nördlichen Kalkalpen verteilen sich auf zwei großräumige Faziesbereiche. Im Südosten weist die Dachsteinkalk-Fazies im Nor und im Rät eine mächtige Folge von Flachwasserkalken auf, denen randlich Riffkomplexe angegliedert sind. Zwischen den Dachstein-kalk-Plattformen wird in einzelnen, flachen Becken die Hallstätter Fazies mit geringmächtigen Kalken und Mergeln abgelagert. Die im Norden und Westen anschließende Hauptdolomit-Fazies zeigt im Nor eine einheitliche, lagunäre Entwicklung, die sich im Rät in Schwellen mit kalkiger Sedimentation und in Senken mit mergliger Sedimentation differenziert. Dieser Ablagerungsraum ist nicht mit einer Geosynklinale zu vergleichen, es ist besser für die Zeit der Trias von einem alpinen Schelf zu sprechen.

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The Late Triassic (Norian-Rhaetian) carbonate sediments in the Northern Limestone Alps are spread between two large facies of a shelf. To the south-east the Dachsteinkalk-Formation in the Norian and Rhaetian shows a thick series of shallow-water limestones, to which reef complexes are marginally annexed. Between the Dachstein-limestones the Hallstätter Formation was deposited in single, shallow basins, showing limestones and marls of little thickness. The Hauptdolomit Formation, following to the north and to the west, shows a uniform lagoonal development in the Norian, which is differentiated in the Rhaetian by ridges of limestone sedimentation and by basins of marl sedimentation.

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Résumé Les sédiments carbonatées du Norien et du Rhétien dans les Alpes calcaires du nord se trouvent dans deux larges faciès d'un plateau continental. Au sudest la Dachsteinkalkformation montre au Norien et au Rhétien une énorme suite de calcaires d'eau basse; à leurs bords on trouve des récifs. Parmi la Dachsteinkalkformation le Hallstätter faciès s'est déposé dans quelques bassins bas; elle se compose de marnes et de calcaires de peu de richesse. La Hauptdolomit-formation suivant au nord et au ouest montre au Norien une évolution uniforme de lagon qui se développe au Rhétien en dorsales avec des sédiments calcaires et en bassins avec des sédiments marneux.

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Vortrag, gehalten auf der 56.Jahrestagung der Geologischen Vereinigung am 26. Februar 1966 in Wien. Die von der Deutschen Forschungsgemeinschaft unter-stützte Arbeit wurde am Institut für Geologie und Paläontologie der Technischen Universität Berlin ausgeführt. Herrn Dr. W.Schlager, Wien, verdanke ich eine kritische Überprüfung der paläogeographischen Karte. Für die Unterstützung der Arbeit möchte ich hier allen danken.     

Major and trace-element composition and pressure–temperature evolution of rock-buffered fluids in low-grade accretionary-wedge metasediments, Central Alps

The chemical composition of fluid inclusions in quartz crystals from Alpine fissure veins was determined by combination of microthermometry, Raman spectroscopy, and LA-ICPMS analysis. The veins are hosted in carbonate-bearing, organic-rich, low-grade metamorphic metapelites of the Bündnerschiefer of the eastern Central Alps (Switzerland). This strongly deformed tectonic unit is interpreted as a partly subducted accretionary wedge, on the basis of widespread carpholite assemblages that were later overprinted by lower greenschist facies metamorphism. Veins and their host rocks from two locations were studied to compare several indicators for the conditions during metamorphism, including illite crystallinity, graphite thermometry, stability of mineral assemblages, chlorite thermometry, fluid inclusion solute thermometry, and fluid inclusion isochores. Fluid inclusions are aqueous two-phase with 3.7–4.0 wt% equivalent NaCl at Thusis and 1.6–1.7 wt% at Schiers. Reproducible concentrations of Li, Na, K, Rb, Cs, Mg, Ca, Sr, Ba, B, Al, Mn, Cu, Zn, Pb, As, Sb, Cl, Br, and S could be determined for 97 fluid inclusion assemblages. Fluid and mineral geothermometry consistently indicate temperatures of 320 ± 20 °C for the host rocks at Thusis and of 250 ± 30 °C at Schiers. Combining fluid inclusion isochores with independent geothermometers results in pressure estimates of 2.8–3.8 kbar for Thusis, and of 3.3–3.4 kbar for Schiers. Pressure–temperature estimates are confirmed by pseudosection modeling. Fluid compositions and petrological modeling consistently demonstrate that chemical fluid-rock equilibrium was attained during vein formation, indicating that the fluids originated locally by metamorphic dehydration during near-isothermal decompression in a rock-buffered system.