A model for the constant-head pumping test conducted in vertically fractured media

An analytical model for the constant-head pumping test is developed for a partially penetrating well that has a finite thickness skin, and intersects a single vertical fracture. In the model, the fracture is fully confined and flow occurs only in the fracture. The model is developed using Laplace transform and finite Fourier transform methods. The model is to be used for analysing well test data from vertically fractured media and for verifying numerical models. Dimensionless curves are used to study the effects of a finite thickness skin and a partially penetrating wellbore. In the presence of a finite thickness skin, or a partially penetrating wellbore, a typical flow response for the constant-head pumping test has three distinct periods of flow corresponding to small-, intermediate- and large-time. Small- and large-time approximations are presented for the model. For tests where the wellbore is fully penetrating, or the partial penetration ratio is known, these approximations can be used to analyse field data.     

Wavelet analysis of a magnetogram

I analyze a quiet-Sun magnetogram with an orthogonal wavelet transform, which allows me to define an entropy measure. The entropy measure of the magnetogram as a function of spatial scale obeys a scaling law, which leads to a fractal dimension ofD _f = 1.7. Furthermore, the entropy scaling law is directly related to the intermittency of magnetic features, which increases for decreasing spatial scales, as expected for a turbulent signal. In this context, the scaling law parameter can be interpreted as a fractional reduction in volume from one step of the turbulent cascade to the next.Operated by the Association of Universities for Research in Astronomy, Inc., under cooperative agreement with the National Science Foundation.     

Spectroscopy of CN Orionis

Two outbursts and a minimum phase of the dwarf nova CN Orionis have been observed spectroscopically. One outburst was covered almost completely. The outburst spectra show periodic variations of the absorption lines which are interpreted with the formation of an elliptic disc during outburst stage. During decline from outburst a narrow emission line appears in the core of the broad H absorption line. The balmer decrement in the outburst phase is much steeper than in the minimum phase. This implies that during the outburst the emission line region is located more outward in the disk. The semi amplitude of the radial velocity curve was determined to K1=152 km/s±10 km/s. Using the photometric orbital period and an assumption about the inclination angle the approximate system parameters could be derived.Based on observations colleted at the European Southern Observatory, La Silla, Chile and at Mount Stromlo Observatory, Canberra, Australia.Paper presented at the IAU Colloquium No. 93 on Cataclysmic Variables. Recent Multi-Frequency Observations and Theoretical Developments, held at Dr. Remeis-Sternwarte Bamberg, F.R.G., 16–19 June, 1986.     

The nature and significance of the feedback of changes in terrestrial vegetation on global atmospheric and climatic change

The potential feedback on global atmospheric and climate change of climate-driven changes in terrestrial vegetation is examined by systematically relating the surface exchanges of energy, mass and momentum to two dimensions of vegetation, structure and taxonomy, such that the significance of climate driven changes in these characteristics can be assessed. A detailed quantitative understanding of this feedback is an important prerequisite to realistic and dynamic representations of the Earth's surface within general circulation and biological models (GCMs and GBMs). Without realistic representations of terrestrial vegetation within these models, any forecasts of future climates by these models must be suspect.Several general conclusions are drawn. The first is that the indirect feedbacks, those associated with the clouds and aerosols of the planetary boundary layer, appear to be very powerful but as yet their behaviour and connections with the underlying surface are both poorly understood and captured within GCMs.The physical structure of vegetation, the disposition of biomass in 3-D, is the characteristic that most strongly influences the exchange of momentum (via aerodynamic roughness) and solar radiation (via albedo). Vegetation structure and species composition determine the most important of the mass exchanges, evapotranspiration. Of all of the surface exchanges, the parameterization of evapotranspiration (E ) and the simulation of the water balance over time is the most critical.Lastly, the problems of scaling and spatial heterogeneity, the sub-grid variability of the modellers, looms as a difficult, but not insoluble, problem. It remains a critical problem however, and the detailed parameterization of the various big leaf models stands in absurd contrast to the simplistic generalization of the spatial heterogeneity of terrestrial landscapes.Plant ecologists can contribute to the task of improving the representation of vegetated landscapes within GCMs. There is need to simply and unify the way in which vegetation can be grouped at landscape scales. A classification that is based on function rather than phylogeny is required. The definition of Vegetation Functional Types (VFTs) would expedite research on both the impact of, and feedback on, climate change.     

High pressure experimental calibration of the olivine-orthopyroxene-spinel oxygen geobarometer: implications for the oxidation state of the upper mantle

Synthetic spinel harzburgite and lherzolite assemblages were equilibrated between 1040 and 1300° C and 0.3 to 2.7 GPa, under controlled oxygen fugacity (f _{O 2}). f _{O 2} was buffered with conventional and open double-capsule techniques, using the Fe−FeO, WC-WO₂-C, Ni−NiO, and Fe₃O₄−Fe₂O₃ buffers, and graphite, olivine, and PdAg alloys as sample containers. Experiments were carried out in a piston-cylinder apparatus under fluid-excess conditions. Within the P-T-X range of the experiments, the redox ratio Fe³⁺/ΣFe in spinel is a linear function of f _{O 2} (0.02 at IW, 0.1 at WCO, 0.25 at NNO, and 0.75 at MH). It is independent of temperature at given Δlog(f _{O 2}), but decreases slightly with increasing Cr content in spinel. The Fe³⁺/ΣFe ratio falls with increasing pressure at given Δlog(f _{O 2}), consistent with a pressure correction based on partial molar volume data. At a specific temperature, degree of melting and bulk composition, the Cr/(Cr+Al) ratio of a spinel rises with increasing f _{O 2}. A linear least-squares fit to the experimental data gives the semi-empirical oxygen barometer in terms of divergence from the fayalite-magnetite-quartz (FMQ) buffer:

Denudation,vertical crustal movements and sedimentary basin infill

Denudation and vertical crustal movements are linked through the isostatic equation for conservation of lithospheric mass. Recent empirical results from a wide range of sources are presented on the rates of these processes. Denudation alone can cause non-tectonic (isostatic) surface uplift of the right magnitude predicted by theory. A case is made, following Ahnert, for a single linear relationship (although with much scatter) between denudation rate and mean drainage basin relief for large basins. Some recent determinations of denudational time constants have neglected to include tectonic and isostatic terms which oppose the reduction of relief by denudation. Application of diffusional transport models to determine the rate of sediment deposition are severely limited by inherent one-dimensionality and neglect of suspended and washload contributions. Basin infill sequences may be used to determine past sediment transfer coefficients from a hinterland, but problems arise in the apportionment of the various hinterland fluxes that occur in »real-world« three dimensional basins. Sediment yields in smaller half-graben and growth fold basins must reflect the magnitude of drainage basins and the complex local controls upon sediment yields. Examples are given from extensional basins in the Western USA and Greece. The »length« of tectonic relief produced in tilt blocks and growth folds will control the area of drainage basin developed (through the fractal form of Hack's Law) and hence the magnitude of deposition in sedimentary basins adjoining tectonic uplands.

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Zusammenfassung Denudation und vertikale Krustenbewegungen sind verbunden durch das isostatische Gesetz über den Erhalt der lithosphärischen Masse. Neuerliche empirische Ergebnisse aus einem weiten Quellenbereich werden im Verhältnis zu diesen Prozessen präsentiert. Denudation allein, kann nicht tektonisch bedingte (isostatische) Oberflächenhebungen hervorrufen, die in der richtigen Größenordnung liegen, wie sie auch theoretisch ermittelt wurden. Es wird in Anlehnung an Ahnert ein Fall geschaffen, in der eine einfach lineare Beziehung (obgleich mit vielen Streuungen) zwischen der Denudationsrate und dem durchschnittlichen Abflußbeckenrelief für große Becken vorliegt. Einige neue Ermittlungen der Denudationszeitkonstanten wurden vernachlässigt, um tektonische und isostatische Begriffe einzufügen, welche sich der Verringerung des Reliefs durch Denudation widersetzen. Die Anwendung des Verbreitungstransportmodells zum Bestimmen der Sedimentationsrate sind streng begrenzt durch die ihm innewohnende Eindimensionalität, und der Vernachlässigung der Schwebe- und Schwämmfrachtbeteiligung. Bekkenfüllungssequenzen können benutzt werden um vergangene Sedimenttransferkoeffizienten aus dem Hinterland festzulegen; aber es treten auch Probleme bei der Verteilung der verschiedenen Hinterlandeinträge auf, die bei einem realen dreidimensionalen Becken vorhanden sind. Sedimenteinträge in kleineren Halbgräben und Growth-fold Becken müssen die Größe des Abflußbeckens widerspiegeln, sowie die komplexen lokalen Steuerungen auf die Sedimenteinträge. Beispiele von Dehnungsbecken aus dem Westen der USA und Griechenlands werden angesprochen. Die Länge des tektonischen Reliefs in verkippten Blöcken und Growth-Folds wird die Fläche des entwickelten Abflußbeckens kontrollieren (durch die fraktale Form des Gesetzes von Hack), und daher die Ablagerungsmenge von Sedimentbecken in der Nähe von tektonischen Hochlagen.

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Résumé L'érosion et les mouvements crustaux verticaux sont liés par l'équation isostatique de conservation de la masse lithosphérique. Des résultats empiriques récents provenant d'un large éventail de sources sont présentés en relation avec ces processus. L'érosion seule peut être la cause d'une montée non tectonique (isostatique) dont l'ampleur est prévue exactement par la théorie. Un cas est présenté, d'après Ahnert, qui montre, pour de grands bassins, une relation linéaire simple (mais avec une forte dispersion des points) entre le taux de dénudation et le relief moyen de l'aire de drainage. Certaines déterminations récentes des constantes de temps de dénudation ont omis de tenir compte des termes tectonique et isostatique qui s'opposent à la destruction du relief par érosion. L'utilisation de modèles de transport diffus en vue de déterminer le taux d'accumulation des sédiments est sévèrement limitée par le caractère unidimensionnel de tels modèles et par le fait qu'il ne tiennent pas compte de la fraction en suspension. Les séquences de comblement d'un bassin sédimentaire peuvent être utilisées pour déterminer les anciens cfficients de transfert à partir de l'hinterland; mais des difficultés surgissent à propos de la répartition des différents flux en provenance de l'hinterland dans le cas réel d'un bassin à 3 dimensions. Les apports sédimentaires dans les bassins de demi-graben et de »growth-fold« doivent traduire la grandeur des aires de drainage et les facteurs locaux complexes qui régissent ces apports. Des exemples sont présentés, relatifs à des bassins d'extension de l'ouest des USA et de Grèce. La »longueur« des reliefs tectoniques en relation avec les blocs basculés et les »growth-folds« déterminent, par la forme fractale de la loi de Hack, la surface des aires de drainage ainsi engendrées et, en conséquence, l'importance des dépôts dans les bassins sédimentaires voisins des reliefs tectoniques.

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Astrometric investigation with the Tautenburg Schmidt telescope

The observations and the plate reduction technique for the determination of positions and absolute proper motions which is used in Potsdam are described. Recent results have shown that an accuracy of about 0 _. 1 for positions and 0 _. ⁷ cent _. ^–1 for proper motions can be achieved both for bright (8^m–12^m) and faint (16^m–18^m) stars. Three astrometric programmes using the Tautenburg plates are presented.     

A new approach to the librational solution in the Ideal Resonance Problem

The librational motion of the Ideal Resonance Problem (Garfinkel, 1966, Jupp, 1969) is treated through an initialnon-canonical transformation which, however, leaves the equations of motion in a quasi-canonical form, with Hamiltonian expressed in standard trigonometric functions amenable to traditional averaging techniques. The perturbed solutions, similarly expressed intrigonometric near-identity transformations, and their frequencies can be found to arbitrary order, with the elliptic integrals expected of the system introduced only in a final explicit quadrature for a Kepler-type equation in the angular variable. The specific transformations and resulting equations of motion are introduced, and explicit solutions for the original variables are found to second order, with mean motion accurate to fifth. Limitation of the present solution to the librational region, the extension of that solution to higher order, and observations on the form of the associated Hamiltonian are also discussed.     

The role of cavities and mantles in the ultraviolet extinction peak of graphite spheres with particular reference to a possibly discovered C60 structure

A computer routine using rigorous Güttler theory was developed to consider effects of concentric cavities and organic mantles within and around graphite spheres, with a view to assessing the stability of the extinction peak near 4.60 m^–1. The newly discovered stable carbon molecule of 60 atoms gives an absorption band at 4.60 m^–1 which closely agrees with the observed; moreover, it leads to the observed extinction rise in the far UV and can possibly explain the fine structure around the 5.5–7 m^–1 dip, while its own structure deals successfully with the main objections to previous carbon-graphite models. The role of the electric vector component perpendicular to the basal plane of the crystal in achieving the fit is stressed.     

Some peculiarities in the Asteroidal Belt

The analysis of the fine structure of the Asteroidal Belt evidenciates a group of asteroids next to the resonance 4/9 with Jupiter. In this group and in other groups associated to the Hirayama families there are indications that their orbital parameters can be represented by quantum numbers as defined here and in two of our previous works. Together with this the distribution of the eccentricities and inclinations of the orbital planes of short period comets and diverse type of asteroids indicates that they can be classified as objects with e > sin i and objects with e > sin i with a limit e = sin i which determinates geometrical properties of the orbits related with discrete states in the solar system. This study lets open the possibility of following studies in order to confirm the quantum characteristics of the Asteroidal Belt being these characteristics common to all the solar system and depending of the same fundamental constant of action per mass unit H ₀ = 1/2 ₀ × T ₀ (potential × time) because only a small part of all the available data in the Asteroid Belt is used here.