On the various methods of deducing aerosol size distribution from diffusional decay measurements

Summary The value of three different methods for deducing aerosol size distribution from diffusional decay measurements — the exhaustion method proposed byPollak andMetnieks, the method byFuchs et al. and the method byNolan andScott — is investigated with numerical examples of known distributions and also by applying them to laboratory experiments. It was found that the exhaustion method and the method proposed byFuchs et al. are satisfactory for deducing the mean particle size and that none of the three methods is quite satisfactory for deducing dispersion of the distributions with higher accuracy.     

Sull'analisi periodale dei diagrammi

Riassunto Dopo aver indicato un nuovo artificio per rendere più rapida la formazione di combinazioni selettive nella analisi periodale, si illustra un modello di analizzatore armonico che traduce con mezzi fotoelettrici gli schemi diLabrouste e diVercelli. Infine, si propone una variante costruttiva dell'analizzatore elettrico progettato dalLovera.

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Summary After having showed a new way by which the process for making the selective combinations used for periodical analysis is hastened, an harmonic analysing device which traducts with photoelectric means the schemes ofLabrouste andVercelli is illustrated. Further, a change in the construction ofLovera's electric analyser is proposed.

     

The modified pseudo-depth section as a tool in resistivity and IP prospecting — A case history

Following the depths of investigation of different electrode arrays, given byRoy andApparao (1971) andRoy (1972), a modified pseudo-depth section was suggested for any array byApparao andSarma (1981) as a tool in resistivity and IP prospecting. The tool was used for the interpretation of IP and resistivity anomalies obtained in a virgin area—Jonnagiri village, Pattikonda Taluq, Kurnool district (A.P.) India. Two of the four bore holes recommended encountered sulphide mineralization, while the other two met with white altered ashy material at the position of the maximum anomaly contour in the depth sections. The drilling results prove the utility of the modified pseudosections in the interpretation of the field data.     

Über ein neuartiges Prinzip der elektrischen Tiefensondierung

Zusammenfassung Fussend auf theoretischen Ergebnissen vonR. M. Foster undS. S. Stefanescu wird ein neuartiges Verfahren zur elektrischen Tiefensondierung bei horizontaler Schichtung vorgeschlagen. Dieses Verfahren arbeitet im Gegensatz zum bekanntenWenner-Verfahren und zum «Zentralinduktions-Verfahren» nachKoenigsberger nicht mit der Veränderung eines Längenparameters (Elektrodenabstand, Schleifenradius), sondern mit veränderlicher Frequenz bei unveränderter Position der Elektroden und Sonden. Einige Vorzüge werden genannt, die diese Methode in praktischer Hinsicht haben dürfte.

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Summary Taking reference of theoretical results ofR. M. Foster andS. S. Stefanescu, a new method of electrical depth-sounding refering to horizontal strata is proposed. This new way works contrary to the wellknown princip ofWenner and also to the «Zentral-Induktions-Verfahren» afterKoenigsberger not with a change of a length-parameter (electrode-distance and coilradius), but with changeable frequency at unchanged position of electrodes and sondes. A few advantages are described, which this method may have in practice.

     

Ueber Anwendungen der Stokes'schen Schwereformel

Summary Applications of theStokes-formula, expressing the height of the geoid by gravity anomalies, to the deflections of the vertical and the radius of curvature of the geoid. There are introduced 3 new conditions for the geodetic lines for improvement of triangulations. Furthermore the relations fromStokes toEötvös andEvjen formulas have been explored with regard to the geophysical applications.

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Résumé La formule deStokes qui donne les hauteurs du géoïde a été appliquée au calcul des déviations de la verticale et du radius de courbure du géoïde. On déduit trois nouvelles conditions qui doivent être satisfaites par les lignes géodésiques réalisant ainsi un moyen de control des triangulations. Enfin on pose en rélation la formule deStokes avec celles deEötvös et deEvjen en ce qui concerne les applications géophysiques.

     

Recent variations in the general circulation as related to glacier retreat in northern Scandinavia

Summary A review is given of the investigations on variations in the general circulation in middle latitudes made byWillett andPetterssen. According toWillett a «high-index» type of circulation pattern with a strong zonal flow has probably caused the recent climatic improvement in the northern latitudes while the «low-index» type with meridional flow would create a cooling off in the same areas. According toPetterssen an other type of «low-index» pattern with a weak zonal flow and strong meridional exchange of air has been the essential cause of the warming up of the northern latitudes in Europe. This implies that the definition of the «low-index» type is not clear and gives rise to misunderstanding. Making use of our experience on glacier retreat in northern Scandinavia it is concluded that thePetterssen type of circulation more probably than the «high-index» type has caused the warming-up in the North Atlantic area from which the retreat of the glaciers has followed.     

Über die Bindung der Aerosolteilchen auf der Oberfläche der Wolkenelemente

Summary The importance ofStefan's flow by collection of insoluble aerosol particles on the surface of the evaporating droplets by condensation has recently been emphasized mainly in connection with the possible wash-out mechanism in the atmosphere. A simple theory is deduced for the collection efficiency of insoluble particles on droplets under theStefan's force and a comparision is made with the binding of aerosol particles byBrown's motion and microturbulence of air flow. In general we must take in account the influence ofStefan's flow by calculating the wash-out efficiency.     

Computations of the tropospheric radiation budget in the Caribbean and Gulf of Mexico area for clear sky conditions

Summary Computations of solar heating and infrared cooling for clear sky conditions in the area of the Central American Seas are presented, as based on conventional radiosondes in 1960. Results are discussed with regard to latitude mean data available in the literature.Both solar heating and infrared cooling display the most pronounced latitudinal variation in winter, while the distribution is rather uniform in summer. Large heating rates are found in the lower layers over the Caribbean Sea. The infrared cooling shows maxima around 700 mb and below the 950 mb level, in both summer and winter. This contrasts withLondon's result, but agrees with a more recent study byDavis. Infrared cooling rates computed for clear sky conditions up to 500 mb are somewhat larger than the results form radiometer soundings in fall 1960 as reported byRiehl. Discrepancies betweenRiehl's data andLondon's latitude mean values appear to result essentially from different cloud conditions. The pattern of net cooling is in general consistent withLondon's latitude mean cross-sections for average cloudiness.Effective outgoing radiation in winter displays a decrease from the Caribbean Sea towards the cold interior of the North American Continent, while latitudinal contrasts vanish during the summer season. Computations compare well withBudyko's table andRiehl's estimate for fall 1960, while they are substantially lower thanLondon's data and estimates fromSverdrup's graph.

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Zusammenfassung Absorption von Sonnenstrahlung und langwellige Ausstrahlung für wolkenfreien Himmel wurden für den Bereich des Amerikanischen Mittelmeers berechnet, auf Grund herkömmlicher Radiosondenaufstiege im Jahre 1960. Die Ergebnisse werden mit Hinblick auf die in der Literatur verfügbaren Breitenkreismittelwerte diskutiert.Absorption von Sonnenstrahlung und langwellige Ausstrahlung ändern sich mit der geographischen Breite besonders stark im Winter, wogegen horizontale Unterschiede im Sommer weniger ausgeprägt sind. Eine relativ starke Absorption von Sonnenstrahlung scheint in den unteren Schichten über der Karibischen See stattzufinden. Die langwellige Ausstrahlung ist besonders stark um 700 mb und unterhalb des 950 mb-Niveaus, und zwar sowohl im Sommer wie im Winter. Das steht im Gegensatz zu den Ergebnissen vonLondon, stimmt aber mit einer neueren Studie vonDavis überein. Die für wolkenfreien Himmel berechnete langwellige Ausstrahlung bis hinauf zum 500 mb-Niveau ist etwas grösser als die aus Aufstiegen von Radiometersonden im Herbst 1960 gewonnenen Werte vonRiehl. Unterschiede zwischen den Daten vonRiehl und den Breitenkreismittelwerten vonLondon scheinen im wesentlichen aus unterschiedlichen Bewölkungsverhältnissen herzurühren. Die aus Absorption und langwelliger Ausstrahlung resultierenden Abkühlungsbeträge entsprechen im allgemeinen den vonLondon für mittlere Bewölkungsverhältnisse mitgeteilten mittleren Vertikalschnitten.Die effektive Ausstrahlung der Erdoberfläche zeigt im Winter eine Abnahme von der Karibischen See auf den dann kalten Nordamerikanischen Kontinent hin; Unterschiede mit der geographischen Breite verschwinden hingegen im Sommer. Die Berechnungen entsprechen den Tabellenwerten vonBudyko und den Abschätzungen vonRiehl für den Herbst 1960;London's Daten sowie Abschätzungen nach dem Nomogramm vonSverdrup hingegen sind deutlich höher.

     

The precision nucleus counter (Pollak type) with automatic recording

Summary In order to obtain an automatic recording nucleus counter with greater accuracy than that ofVerzár, a precision photoelectric nucleus counter (Pollak type) with ceramic lining and internal diameter 2.5 cm has been substituted for the horizontal fog tube inVerzár's automat. Certain small alterations, have been made to the electric circuit of the recorder. The new arrangement can be easily calibrated and shows an accuracy approaching that of the precision counter operated under optimum conditions.

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Zusammenfassung Um einen automatischen Kondensationskernzähler von grösserer Genauigkeit als es der vonVerzár ist, zur Verfügung zu haben, wurde das horizontale Nebelrohr im Automaten vonVerzár durch einen photo-elektrischer Präzisions-Kernzähler (BauartPollak) mit unglasiertem Porzellanfutter und einem inneren Durchmesser von 2.5 cm ersetzt. An der elektrischen Schaltung der Registriereinrichtung wurden gewisse kleine Änderungen vorgenommen. Die neue Anordnung kann leicht geeicht werden und besitzt eine Genauigkeit, welche jene des Präzisions-Kernzählers unter optimalen Betriebsbedingungen erreicht.

     

Sulla equazione differenziale di Schweydar relativa alle maree terrestri

Riassunto Viene riportata in forma riassuntiva e con alcune varianti lo svolgimento teorico seguito dalloSchweydar, considerando per la rigidità e per la densità interne, funzioni della profondità affatto generali, per giungere alla equazione differenziale del sesto ordine a coefficienti polinomiali per la marea. Vengono inoltre ricordati gli studi diprey e dell'A. su questo argomento.

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Summary The theoretical solvings bySchweydar are resumed, with some variations, considering general formulas for rigidity and internal density, to reach the differential equation of sixth degree with polynomial coefficients, for the tides.Prey's studies on this subject, and of the Author, are mentioned.

     

Elektrische Aufladung Fallender Wassertropfen

Zusammenfassung Es wird die elektrische Aufladung einzelner, in ionisierter Luft frei fallender Wassertropfen experimentell untersucht, und zwar bei elektrischen Feldstärken zwischen 0 und 120 Volt/cm. Der Radius der untersuchten Wassertropfen beträgt 1.30 mm. Die elektrische Ladung wird durch Influenzring und hochohmige Röhrenvoltmeter in Verbindung mit Kathodenstrahloszillograph und Schleifenoszillograph gemessen. Es zeigt sich, dass der zeitliche Verlauf der Aufladung und die erreichte Grenzlandung mit der Theorie vonWhipple undChalmers in Einklang stehen. Auch zu der vonFrenkel angegebenen Theorie der Gewitterlektrizität durch Ionenabsorption wird eine experimentelle Aussage möglich.

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Summary The collecting of electrical charge by single waterdrops is experimentally examined. The drops fall freely through ionized air in the presence of electrical fields between 0 and 120 V/cm. Only drops with a radius of 1.30 mm are used. The electrical charge is measured by induction-ring and electronic amplifier previously described in connection with Cathode-Ray Oszillograph and recording Bifilar-Oszillograph. It is shown, that the rate of collecting of charge as well as the final charge gained are in accordance with the theory ofWhipple andChalmers. An experimental examination of the theorie of thunderstorm-electricity by ion absorption given byFrenkel becomes possible.

     

P in the shadow zone of the earth's core—Part I

Summary Regional variations have been indicated in the slope of theP travel-time curve in the shadow zone of the earth's core. Further study is needed since the uncertainties of the slope are large, especially for the observations from North American stations. There is no significant difference between themean slope of theP travel-time curve in the 95°102.9 range and those obtained byJeffreys, andJeffreys andBullen. However, there is a significant difference between themean slope in the 103° to 135° range as obtained in this study, and those obtained byJeffreys andBullen, and in a later revision byJeffreys. Themean travel-time curve ofP in the shadow zone of the earth's core should be lowered. A trial travel-time table is given with amean slope of 4.41 sec/deg. This table is in close agreement with the times obtained byGutenberg andRichter, and with the trial travel-times ofLehmann. Under the assumption of diffraction the longitudinal wave velocity has been determined to be 13.7 km/sec at the core-mantle boundary.This paper was presented at the Annual Meeting of the Seismological Society of America Reno, Nevada, 1966.     

Mineralogy and physical nature of clay gouge

Fault gouges have been observed in the surface outcrops, in shallow excavations, and in deep (300 meters below the surface) tunnels and mines in fault zones. The 2-microns fractions in these fault gouges may compose a few percent to more than fifty percent of the total mass in the outcrops, and the mineralogy of the 2-microns fractions consists of a variety of clays (the common ones are montmorillonite, illite, kaolinite, chlorite, vermiculite and mixed-layer clays) and some quartz, feldspars, etc.Although we cannot yet conclude directly from the studies of gouges that similar gouges exist at depths where many large shallow earthquakes are generated, there is a strong possibility that they do, based on (1) available equilibrium data on various clays — for example, kaolinite has been found to exist at 4 kb and 375°C (±15°C) (Thompson, 1970) and montmorillonite + kaolite has been found to exist at 450°C and 4 kb (Velde, 1969); (2) the compatibility of laboratory velocity data in gouge (Wang et al., 1977) with those in a model for central California (Healy andPeake, 1975); (3) the capability of clays to undergo sudden earthquake-like displacements (Summers andByerlee, 1977); (4) the petrology of intrafault cataclastic rocks in old fault zones (Kasza, 1977); and (5) the compatibility of gouge mineralogy with the mineralogy of hydrothermal clay deposits.If clay gouges are indeed significant components of the fault zone at depth, then the mechanical properties of clays under confining pressures up to 4 kb are important in the behavior of faults. Very few experiments have been performed under such high pressures. But from the physical makeup of clays, we can infer that (1) the range of possible behavior includes stable sliding with vermiculite and montmorillonite (asByerlee andSummers, 1977, have proven) to stick-slip-like behavior with kaolinite, chlorite, etc.; (2) the absence or presence of water will greatly affect the strengths of gouges — it is possible that water may reduce the strength of gouge to a fairly small value.     

Dispersion of Rayleigh waves along a mainly Atlantic path

Summary It is shown that the dispersion curve of Rayleigh waves of an Earthquake of Haiti as observed in Budapest agrees well with those obtained byEwing &Press, as well as byBerckhemer for Atlantic route, though the latter related to purely oceanic routes, while with the curves observed at Budapest 80% of the route refer to an oceanic, 20% to continental path.     

Relazioni tra la velocità del vento e le caratteristiche del moto ondoso al largo e in costa

Summary The A. points out that the confirmation of the theory ofNeumann's significative waves, which differ from those ofSverdrup andMunk, would require observations of an accuracy not yet available. The existence of these waves would not change, anyhow,Sverdrup andMunk's conclusions out of the wind area.     

Discussion on the atmospheric radiation tables byElsasser andCulbertson

Summary The radiation tables byElsasser andCulbertson [1]²) are based upon an integrated form of the radiative transfer equation. Unfortunately, a term dealing with the temperature dependency of the transmission function is left out. This leads to an inconsistency of their analysis. It is the aim of this paper to correct and to modifyElsasser's graphical-numerical procedure such as to make his treatment internally consistent.     

Il primo problema fondamentale della Geodesia ampliato nel campo di Somigliana

Sommario Dopo aver richiamato l'ampliamento ad un campo potenziale spaziale delle formule diLegendre che risolvono il primo problema fondamentale della Geodesia, l'A. applica tali formule al caso del campo diSomigliana, che ammette l'ellissoide come una delle superfici equipotenziali della famiglia; tale applicazione rappresenta la più naturale estensione ad un campo tridimensionale delle classiche formule ellissoidiche superficiali, e si accorda con l'adozione internazionale del campo diSomigliana per tutte le speculazioni della Geodesia dinamica.

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Summary After having recalled the extension to a spatial potential field ofLegender's formulae solving the first fundamental problem in Geodesy, the author applies such formulae toSomigliana's field, which admits the ellipsoid as one of the equipotential surfaces of the family. Such application represents the most natural extension to a three-dimensional field of the classical ellipsoidal surface formulae, and agrees with the international adoption ofSomigliana's field in dynamic Geodesy.

     

Die ≪Strahlung≫ bei Pouillet und Kirchhoff

Zusammenfassung Der Widerspruch zwischen den Strahlungsgesetzen der Physik und der Definition der Strahlung durchPouillet, die allen bisherigen Strahlungs-Messungen zu Grunde liegt, wird am Modell des schwarzstrahlenden Hohlraums vonKirchhoff gezeigt. Auch die Bestimmungen der Solarkonstante (Kalitins's Liste) sind verloren.

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Summary The contradiction ofPouillet's radiation and the physical laws of radiation sinceKirchhoff, Boltzmann-Stefan, Wien, Lummer andKurlbaum is by the model of the black radiating body ofKirchhoff demonstrated. The measurements of radiation have followed til now to the antiquated idea ofPouillet. The determination of the solar constant as inKalitin's list represented also is lost.

     

On the Mathematical Analysis of an Elastic-gravitational Layered Earth Model for Magmatic Intrusion: The Stationary Case

In the early eighties Rundle (1980, 1981a,b, 1982) developed the techniques needed for calculations of displacements and gravity changes due to internal sources of strain in layered linear elastic-gravitational media. The approximation of the solution for the half space was obtained by using the propagator matrix technique. The Earth model considered is elastic-gravitational, composed of several homogeneous layers overlying a bottom half space. Two dislocation sources can be considered, representing magma intrusions and faults. In recent decades theoretical and computational extensions of that model have been developed by Rundle and co-workers (e.g., Fernández and Rundle, 1994a,b; Fernández et al., 1997, 2005a; Tiampo et al., 2004; Charco et al., 2006, 2007a,b). The source can be located at any depth in the media. In this work we prove that the perturbed equations representing the elastic-gravitational deformation problem, with the natural boundary and transmission conditions, leads to a well-posed problem even for varied domains and general data. We present constructive proof of the existence and we show the uniqueness and the continuous dependence with respect to the data of weak solutions of the coupled elastic-gravitational field equations.     

Coherency of rupture and seismic spectrum

In considering the seismic spectrum, one of the methods to incorporate irregularity of fault motion statistically is to introduce the concept of coherency of fracture. In a classic paper,Aki (1967) investigated the scaling law of seismic spectrum on the basis of a statistical model in which an exponentially decaying function is fitted to the autocorrelation function of the dislocation velocity. It is found, however, thatAki's model does not necessarily express irregular fault motion, but corresponds to a smooth dislocation. We show that an analytical function of dislocation velocity gives the same autocorrelation function and the same seismic spectrum as those ofAki's model. In actual fault motion, there is considerable evidence which indicates that the dislocation is not continuous and smooth over the whole fault plane, but is often segmented in several parts. In order to take into consideration this feature we introduce a generalized autocorrelation function of the dislocation velocity in which many coherent fractures smaller than the size of the fault dimension are included. It is shown that the more small-scale coherent fractures, the larger the seismic wave energy in the high frequency range.Kanamori andAllen (1986) showed that a large ratio of seismic wave energy relative to the seismic moment means a large effective stress drop. On the other hand, it is well known that when a fault plane is segmented in several parts, stress drop becomes large (e.g.,Madariaga, 1979;Rudnicki andKanamori, 1981). These two results are fused in our model, because we find that large seismic wave energy is obtained when the fault motion includes small-scale fractures.Kanamori andAllen (1986) also showed that there is a tendency for earthquakes with long repeat times to have a large effective stress drop. Our model implies that a fracture corresponding to earthquakes with long recurrence intervals is more complex, and the strength is large, as also suggested byCao andAki (1986) using a numerical simulation. It should be noted that to the zeroth order, an approximate scaling relation is observed among earthquakes, which means that a large earthquake consists of a relatively large-scale coherent fracture. This fact seems to suggest that the condition of occurrence of a large earthquake is related to the maturing of a source region in which a large coherent fracture becomes feasible.