Tidal evolution in close binary systems,III

In this paper we shall investigate the energy of close binary systems of constant momentum takng into consideration the first-order effects of rotation and tidal attraction of the components of finite size. The equations for the momentum and the energy of the system will be set up in Section 2, making use of terms including the effects of finite size of the components of finite degree of central condensation. In Section 3 perturbation theory is applied to these equations using the results of Kopal (1972b) as our initial values. In Section 4 we shall compare our results with the initial values and then discuss variations in our constants and the application to various real systems.     

Some remarks on the thermodynamics of cyclones and anticyclones

Summary A quantitative theory of steady-state cyclones and anticyclones is based on a thermodynamic cycle, in which the surface frictional flow of air towards low pressure is compensated by an outflow aloft. It is shown that such a steady-state flow can only be sustained by a distribution of heat sources and sinks, depending on the surface windfield, the frictional drag, and the height of the return flow. When the two latter quantities are specified the steady-state surface wind- and pressure-pattern can be inferred from the disposition of heat sources and sinks in the atmosphere.Given the vertical profile of temperature and humidity it is possible to estimate the net heat added to or subtracted from different levels in the atmosphere by radiation processes. If, in addition, the balance between precipitation and evaporation is known, the distribution of sources and sinks in the free atmosphere may be determined, and this procedure may be made largely routine with such aids as the radiation chart. Hence it is possible to infer the structure, intensity and size of an equilibrium surface pressure-field from the computed disposition of sources and sinks in the atmosphere. In the future it should be possible to carry through such an analysis as part of routine forecasting procedure. It is shown that the surface pressure contrast in such monsoonal systems as the Siberian Winter High is of the order called for by the thermodynamic theory. The sustaining source and sink intensities needed for cyclones and anticyclones of average size and pressure-contrast are of the order of those occurring in nature.Cyclones and anticyclones are conveniently classified according to the nature of the sustaining sources or sinks. In particular, shallow systems, cold highs and warm lows are associated with low level sinks or sources, while systems of great vertical extent, warm highs and cold lows, are associated with sinks and sources at high level.

---

Zusammenfassung Eine quantitative Theorie stationärer Zyklonen und Antizyklonen wird auf einen thermodynamischen Kreisprozeß, basiert, in dem die reibungsbedingte Luftströmung an der Erdoberfläche gegen das Tiefdruckzentrum durch ein Abfließen in der Höhe kompensiert wird. Es wird gezeigt, daß eine solche stationäre Strömung nur durch eine Verteilung von Wärmequellen und Sinkstellen aufrecht erhalten werden kann, die durch das Windfeld am Boden, die Reibungsverzögerung und die Höhe des Rückkehrstromes bedingt ist. Wenn die zwei letztgenannten Größen bestimmt sind, kann aus der Verteilung der Wärmequellen und Sinkstellen in der Atmosphäre auf das Wind- und Druckfeld des stationären Zustandes am Boden geschlossen werden.Aus dem Vertikalprofil von Temperatur und Feuchtigkeit ist es möglich, den durch Strahlungsvorgänge in verschiedenen Höhen erzeugten Wärmeüberschuß oder-verlust abzuschätzen. Wenn außerdem die Bilanz zwischen Niederschlag und Verdunstung bekannt ist, kann auch die Verteilung der Quellen und Sinkstellen in der Atmosphäre bestimmt werden und dieses Verfahren kann auf Grund von Strahlungskarten Eingang in die tägliche Praxis finden. Damit ist es möglich, aus der berechneten Verteilung von Quellen und Sinkstellen Schlüsse auf die Struktur, die Intensität und die Ausdehnung eines im Gleichgewicht befindlichen Druckfeldes zu ziehen. In Zukunft mag sich auch die Möglichkeit ergeben, eine solche Analyse als Teil des täglichen Wetterdienstes durchzuführen.Es wird gezeigt, daß die Druckunterschiede am Boden in solchen Monsunsystemen wie dem sibirischen Winterhoch von der gleichen Größenordnung sind, wie sie sich aus der thermodynamischen Theorie voraussagen lassen. Die Intensität von Quellen und Sinkstellen, die in der freien Atmosphäre auftreten, hat die richtige Größe, um die Aufrechterhaltung von Zyklonen und Antizyklonen mit den Dimensionen und Druckunterschieden zu erklären, wie sie in der Natur beobachtet werden.Zyklonen und Antizyklonen werden praktischerweise auf Grund der Beschaffenheit der Quellen oder Sinkstellen eingeteilt, die sie aufrecht erhalten. Im speziellen sind seichte Systeme, wie Kältehoch und Wärmetief, mit Quellen oder Sinkstellen im tieferen Niveau verknüpft, während Systeme mit großer Vertikalerstreckung, wie Wärmehoch und Kältetief, mit Quellen oder Sinkstellen in größerer Höhe verbunden sind.

---

Résumé On développe une théorie quantitative des dépressions et anticyclones stationnaires sur la base d'un cycle thermodynamique fermé dans lequel le courant soumis au frottement et dirigé vers le centre dépressionnaire est compensé par un écoulement divergent en altitude. On montre qu'un tel système stationnaire ne peut se maintenir que par une répartition des sources et des puits de chaleur conditionnée par le champ de vent au sol, le retard dû au frottement et l'altitude du courant de retour. Si les deux dernières grandeurs sont déterminées, on peut connaître le champ de vent et de pression de l'état stationnaire au sol à partir de la répartition des sources chaudes et des puits dans l'atmosphère.Grâce au profil vertical de température et d'humidité, il est possible d'évaluer l'excès ou le défaut de chaleur produits par les processus radiatifs à différents niveaux. Si en outre le bilan entre les précipitations et l'évaporation est connu, on peut aussi déterminer la distribution des sources et des puits dans l'atmosphère et ce procédé pourra entrer dans le travail de routine à l'aide de cartes de rayonnement. Ainsi il est possible, à partir de la distribution calculée des sources et des puits, de tirer des conclusions sur la structure, l'intensité et l'étendue d'un champ de pression en équilibre. On peut envisager dans l'avenir la possibilité d'adjoindre une telle analyse à la prévision journalière du temps.On montre que les différences de pression au sol dans des systèmes de mousson tels que celui de l'anticyclone hivernal sibérien sont de l'ordre de grandeur prévu par la théorie thermodynamique. L'intensité des sources et des puits qui apparaissent dans l'atmosphère libre a la valeur voulue pour entretenir les dépressions et les anticyclones avec les dimensions et les différences de pression que l'on observe dans la nature.On peut classer les dépressions et les anticyclones d'une manière pratique d'après la nature des sources et des puits qui les entretiennent. En particulier, des systèmes de peu d'épaisseur comme des anticyclones froids et des dépressions chaudes sont liés à des sources et des puits situés à basse altitude; par contre des systèmes de grande ampleur verticale comme des anticyclones chauds et des dépressions froides sont liés à des sources ou des puits à haute altitude.

     

Growth of multilayered polycrystalline reaction rims in the MgO–SiO<Subscript>2</Subscript> system,part II: modelling

Part I of this contribution (Gardés et al. in Contrib Mineral Petrol, 2010) reported time- and temperature-dependent experimental growth of polycrystalline forsterite-enstatite double layers between single crystals of periclase and quartz, and enstatite single layers between forsterite and quartz. Both double and single layers displayed growth rates decreasing with time and pronounced grain coarsening. Here, a model is presented for the growth of the layers that couples grain boundary diffusion and grain coarsening to interpret the drop of the growth rates. It results that the growth of the layers is such that (Δx)² ∝ t ^1−1/n , where Δx is the layer thickness and n the grain coarsening exponent, as experimentally observed. It is shown that component transport occurs mainly by grain boundary diffusion and that the contribution of volume diffusion is negligible. Assuming a value of 1 nm for the effective grain boundary width, the following Arrhenius laws for MgO grain boundary diffusion are derived: log D _gb,0^Fo (m²/s) = −2.71 ± 1.03 and E _gb^Fo = 329 ± 30 kJ/mol in forsterite and log D _gb,0^En (m²/s) = 0.13 ± 1.31 and E _gb^En = 417 ± 38 kJ/mol in enstatite. The different activation energies are responsible for the changes in the enstatite/forsterite thickness ratio with varying temperature. We show that significant biases are introduced if grain boundary diffusion-controlled rim growth is modelled assuming constant bulk diffusivities so that differences in activation energies of more than 100 kJ/mol may arise. It is thus important to consider grain coarsening when modelling layered reaction zones because they are usually polycrystalline and controlled by grain boundary transport.     

The fluvial and pyroclastic deposits of the Cagayan Basin, Northern Luzon, Philippines—an example of non-marine volcaniclastic sedimentation in an interarc basin

ABSTRACT The Cagayan basin of Northern Luzon, an interarc basin 250 km long and 80 km wide, contains a 900 m thick sequence of Plio-Pleistocene fluvial and pyroclastic deposits. These deposits are divided into two formations, the Ilagan and Awidon Mesa, and three lithofacies associations. The facies, which are interpreted as meandering stream, braided stream, lahar, and pyroclastic flow and fall deposits, occur in a coarsening upward sequence. Meandering stream deposits interbedded with tuffs are overlain by braided stream deposits interbedded with coarser pyroclastic deposits; lahars and ignimbrites. The coarsening upward volcaniclastic deposits reflect the tectonic and volcanic evolution of the adjacent Cordillera Central volcanic arc. Uplift of the arc resulted in the progradation of coarser clastics further into the basin, the development of an alluvial fan, and migration of the basin depocentre away from the arc. The coarsening of the pyroclastic deposits reflects the development of a more proximal calc-alkaline volcanic belt in the maturing volcanic arc. The Cagayan basin sediments serve as an example of the type and sequence of non marine volcaniclastic sediments that may form in other interarc basins. This is because the tectonic and volcanic processes which controlled sedimentation in the Cagayan basin also affect other arc systems and will therefore control or significantly influence volcaniclastic sedimentation in other interarc basins.     

DISCUSSION: ‘HYDROLOGICAL MODEL OF PEAT-MOUND FORM WITH VERTICALLY VARYING HYDRAULIC CONDUCTIVITY’ BY ADRIAN C. ARMSTRONG

In this comment we argue that the premise on which the peat mound model developed by Armstrong (Earth Surface Process and Landforms, 1995, 20 , 473–477) is based, that hydraulic conductivity shows an exponential decline with depth in bog peats, is unsound. Empirical evidence in the literature for such an exponential decline is less sound than Armstrong suggests. In addition, Armstrong's suggestion that the hypothesis of Baird and Gaffney (Earth Surface Processes and Landforms, 1995, 20 , 561–566) supports an exponential decline is shown to be erroneous.     

Use of deuterated water as a conservative artificial groundwater tracer

Conservative tracers are necessary to obtain groundwater transport velocities at the field scale. Deuterated water is an effective tracer for this purpose due to its similarity to water, chemical stability, non-reactivity, ease of handling and sampling, relatively neutral buoyancy, and reasonable price. Reliable detection limits of 0.1 mg deuterium/L may be obtained in field tests. A field example is presented in which deuterated water, bromide, and pentafluorobenzoic acid are used as groundwater tracers. Deuterated water appeared to be transported conservatively, producing almost identical breakthrough curves as that of other soluble tracers. Electronic Publication     

沈积岩石学

沈积学,在二十世纪初叶始渐起而为地质学中之新支,近数十年来随着石油工业之发达,而日趋蓬勃;一变昔日仅以岩石性质研究为沈积原因之解说,而侧重沈积作用及沈积环境之     

A model of ocean current flow and drifter motion

A minor generalization of the theory of random walk is used as a basis for a model of ocean current flow. The model is then applied in a computer simulation of drifter motion. The results of simulation indicate that the geometry of a coastline can have significant impact on the distribution of drifter landings.     

The influence of grain-size analysis methods and sediment mixing on curve shapes and textural parameters: Implications for sediment trend analysis

To this day, deterministic physical models capable of explaining the evolution of grain-size distributions in the course of transport are still lacking. For this reason, various attributes of particle frequency distributions, in particular curve shapes and textural parameters, have for many decades been investigated for potential information about transport behaviour and size-sorting processes of sediments in numerous environments. Such approaches are essentially conceptual and hence rely heavily on the validity of the assumptions on which they are based. A factor which has to date been largely ignored in this context, is the fact that different methods of grain-size analysis (e. g. sieving, laser absorption and diffraction, settling velocity measurements), when applied to the same sample material, produce variable curve shapes, and hence incongruous textural data. This is illustrated by selected examples showing the differences between sieving and settling results, conversion of settling velocities into equivalent settling diameters (psi-phi-transformations), and the influences of particle shape, particle density, and water temperature. It is demonstrated that particle-size distributions are not only method-dependent but also dependent on the adopted post-processing procedure. As a result, only frequency curves generated by the same method and subsequently processed by identical computational procedures can be meaningfully compared. Furthermore, the computation of textural parameters from bi- or multimodal size distributions produces spurious results which are unrelated to the processes leading to the mixing of different size populations frequently observed in nature. In such cases, only the decomposition of such distributions into individual populations and the spatial comparison of such populations makes any sense. Because a physical explanation for the generation of size distributions is lacking, a particular curve shape of a grain-size population has no meaning on its own. Only a systematic comparison of progressively changing curve shapes (and associated textural parameters) of sediments collected on a closely spaced grid can yield data suitable for sediment trend analysis.