Метод трех направлений

Summary In [1] the author has put forward a three-direction method, a general way of adjustment of angular observations in incomplete sets by the method of extending into angular combinations, and the definition of mean weightP ^*. In this article the question is dealt with as a whole. In the three-direction methods>3 triangulation directions are measured in direction triplets 123, 234, 345,… …,s12, while in the method of measuring single angles at the station they are measured in angles 12, 23, 34, 45, …,s1. The advantage of transition from angles to direction triplets rests, besides in saving 31% of pointings, above all in certain possibility of elimination of the horizontal refraction, which follows from this. The treatise of the relation between the method of measurement and the refraction is not included into this article, as it would go beyond its scope. The fact that adjusted directions, with the exception of the stations having four directions, are not of equal weight, is proper not only to the three-direction method. The non-equality of weights is even more conspicuous in the method of measuring single angles at the station, and it appears already at the stations having four directions. In author's view the homogeneity of observation elements is more important than the homogeneity of weights from the point of view of adjustment at the station; therefore the direction triplets ought not to exist abreast with the angles in one programme, and especially the number of observations ought to be constant at one station with adjusted direction of homogeneous mean weight in the net. This transition from angles to direction triplets could also provoke a comment that simultaneous visibility of three adjoining directions occurs less often than of two such directions. The author adds to this that nowadays the causes of this phenomenon, following from unsuitable technique, must be eliminated. It is just air limpidity that ought to define the visibility, not unsufficient or everywhere equal intensity of light of reflectors, or too long sides of the triangulation net. Recent approach to this problem requires simultaneous visibility of all directions during most of the days of observation. In connection with the out-of=date technique, the methods of angular observation often have one unfavourable character: they are the cause of the accumulation of observations of “always visible” directions. The supposed merit of angles thus turns into their imperfection.

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Адрес: Politickych vězňů 12, Praha 1-Nové Město     

Giant ancient landslide in the Alma water gap (Crimean Mountains,Ukraine): notes to the predisposition,structure, and chronology

Large-scale ancient landslides of the area of more than 5 km² and volume exceeding 200 × 10⁶ m³ are characteristic features of the valleys incised in the northern periphery of the Crimean Mountains (Ukraine). The largely affected area is located in the outermost cuesta range of the Crimean Mountains which consists of rigid Sarmatian limestones overlying weak Middle Miocene and Upper Palaeogene deposits. A giant landslide arose in the Alma water gap as a reflection of several coincident preparatory factors such as suitable bedrock stratification, smectite-rich bedrock exposed to swelling activity, presence of faults parallel to the valley trend, and river capture event which preceded the landslide event. The occurrence of such ancient megaslides is particularly interesting in the area which is characterized by low precipitation (<500 mm/year) and weak contemporary seismicity. It probably reflects a more dynamic environment in humid phases of the Holocene; however, seismic triggering along the Mesozoic suture zone cannot be rejected. Compressional features such as gravitational folds in the central and distal parts of the landslide, which probably correlate with the whole landslide genesis or its significant reactivation, arose, according to the radiocarbon dating, during the Holocene climatic optimum in the Atlantic period. The slope deformation has been relatively quiescent since that time, except minor historic reactivization which took place in the frontal part of the landslide. We suppose that the studied landslide could be classified as a transitional type of slope deformation with some signs of spreading and translational block slides.     

Granitoids in the Rozvadov Pluton,Western Bohemia and Oberpfalz

The Rozvadov Pluton is a complex of mainly Variscan granitoid rocks situated near the Bohemian-Bavarian border between Bärnau, Tachov, Rozvadov and Waidhaus, 25 km ESE of the KTB site. Five mappable units can be distinguished, which intruded as folows: (1) slightly deformed leucocratic meta-aplite/metapegmatite dykes with garnet and tourmaline; (2) a complex of cordierite-bearing granitoids, which have been divided into three facies (a) biotite granite with cordierite (at the margin of the complex), (b) biotite-cordierite granite and (c) cordierite tonalite (in the centre of the complex; (3) fine-grained biotite granite of the Rozvadov type with associated pegmatite bodies; (4) two-mica Bärnau granite; and (5) geochemically specialized albite-zinnwaldite-topaz granite (Kríový kámen/Kreuzstein granite) with indications of Sn-Nb-Ta mineralization and associated phosphorus-rich pegmatite cupolas. Rare earth element data suggest that meta-aplite/pegmatite dykes are the result of a batch partial melting process, whereas the compositional variation of the other rock types was mainly controlled by fractional crystallization. The genesis of the cordierite granitoid suite is best explained in terms of a batch melting of metapelitic source followed by crystallization of a cordierite-rich cumulate and K-feldspar enriched melt. The leucocratic pluton constituents — the meta-aplites and the Bärnau and Kíový kámen granites are rich in phosphorus (0.5–0.8%). The main carriers of phosphorus are alkali feldspars, especially K-feldspar (up to 0.8% P₂O₅). The presence of P-rich leucocratic granites is one of the features distinguishing the Variscan granitoids within the Moldanubian zone from the nearly contemporaneous granitoids in the Saxothuringian zone.     

Quartz and feldspar zoning in the eastern Erzgebirge volcano-plutonic complex (Germany, Czech Republic): evidence of multiple magma mixing

Zoned quartz and feldspar phenocrysts of the Upper Carboniferous eastern Erzgebirge volcano-plutonic complex were studied by cathodoluminescence and minor and trace element profiling. The results verify the suitability of quartz and feldspar phenocrysts as recorders of differentiation trends, magma mixing and recharge events, and suggest that much heterogeneity in plutonic systems may be overlooked on a whole-rock scale. Multiple resorption surfaces and zones, element concentration steps in zoned quartz (Ti) and feldspar phenocrysts (anorthite content, Ba, Sr), and plagioclase-mantled K-feldspars etc. indicate mixing of silicic magma with a more mafic magma for several magmatic phases of the eastern Erzgebirge volcano-plutonic complex. Generally, feldspar appears to be sensitive to the physicochemical changes of the melt, whereas quartz phenocrysts are more stable and can survive a longer period of evolution and final effusion of silicic magmas. The regional distribution of mixing-compatible textures suggests that magma mingling and mixing was a major process in the evolution of these late-Variscan granites and associated volcanic rocks.

Quartz phenocrysts from 14 magmatic phases of the eastern Erzgebirge volcano-plutonic complex provide information on the relative timing of different mixing processes, storage and recharge, allowing a model for the distribution of magma reservoirs in space and time. At least two levels of magma storage are envisioned: deep reservoirs between 24 and 17 km (the crystallisation level of quartz phenocrysts) and subvolcanic reservoirs between 13 and 6 km. Deflation of the shallow reservoirs during the extrusion of the Teplice rhyolites triggered the formation of the Altenberg-Teplice caldera above the eastern Erzgebirge volcano-plutonic complex. The deep magma reservoir of the Teplice rhyolite also has a genetic relationship to the younger mineralised A-type granites, as indicated by quartz phenocryst populations. The pre-caldera biotite granites and the rhyodacitic Schönfeld volcanic rocks represent temporally and spatially separate magma sources. However, the deep magma reservoir of both is assumed to have been at a depth of 24–17 km. The drastic chemical contrast between the pre-caldera Schönfeld (Westfalian B–C) and the syn-caldera Teplice (Westfalian C–D) volcanic rocks is related to the change from late-orogenic geotectonic environment to post-orogenic faulting, and is considered an important chronostratigraphic marker.     

The ionosphere as an Alfven resonator in the Pc1 micropulsation range

Summary A local planar approximation of a stratified, inhomogeneous, anisotropic and dissipative ionosphere is presented as an Alfven quarter-wave plate resonator in the Pc1 micropulsation range. The frequency-amplitude structure of the resonance response of an isotropic Alfven wave on the Earth's surface and at a given altitude in the ionosphere is studied in comparison to standing waves in vacuum above an ideal conductor for a particular model of the ionosphere. An asymmetry in the response was found at both boundary of the resonator, at the Earth's surface and at the given altitude z₀. The results are related to the vertical changes of frequency dispersion in the dissipative medium of the ionosphere and to the vertical profile of the inhomogeneities of the resonator being considered.     

Quantitative analysis of travel-time curves of seismic events in the Ostrava-Karviná coal mining district

Summary The paper is intended as a contribution to the quantitative analysis of travel-time curves of seismic events recorded in the Ostrava-Karviná District (OKD). The input data represent a set of 2621 seismic events, recorded by the local seismological network of 26 mine stations DSLA and a regional diagnostic polygon consisting of five surface Lennartz stations. All the events were processed automatically in the Operational Seismological Centre of the Czechoslovak Army Mine in Karviná and stored in the seismological data base. The results are presented in the form of graphs of arrival times versus distance for the whole OKD, for two mines and one tectonic block.Travel-time curves of direct P and S waves, as well as of reflected and refracted waves are given. The direct P and S waves propagate well practically throughout the whole region studied, but their apparent velocities of propagation are affected by the properties of the rock medium.As a result of the complicated geological conditions, the recorded wave image is quite complicated. Methods of mathematical modelling, using kinematic and dynamic parameters of seismic waves, will have to be applied to identify the separate wave groups uniquely.     

An analytical model of seismic travel times for a spherically asymmetric Earth

Summary A general analytical model for travel times of seismic waves propagating in a radially asymmetric Earth, is suggested. It is represented by a series of irreducible spherical tensor products with bipolar spherical coefficients. The main term of the series describes the travel times in a radially symmetric Earth, the others represent corrections due to the spherical assymmetry. The method of least squares is suggested for determining the bipolar spherical coefficients from observed seismic travel times. Since the proposed theory assumes that the analytical representation is related to the reference earth, the corrections to the non-zero focal depth and non-zero sea-level height of the seismographic station must be introduced.

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Expansions of the double product of the global gravity field

Summary Four fundamental forms of expansion of the double product of the gravity function into an infinite series are derived. Two isotropic parts are separated, one is expressed by Legendre polynomials and the other by invariants of Wigner's D-matrices.

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Hercynian-thrust related shear zones and deformation of the Varied Group on the contact of granulites/Southern Moldanubian,Bohemian Massif/

The three deformation phases inferred from the detailed structural analysis of the Cesky Krumlov Varied Group record the Hercynian development of the Southern Moldanubian of the Bohemian Massif. The deformation is related to the NW-SE thrusting of the large crustal units including granulites. The formation of the NS and NW-SE trending shear zones is connected with the thrust movement. The structural development begins with F₁ isoclinal fold formation, that could originate in unmetamorphosed sediments. In the final stage, they were strongly flattened and B₁ boudinage developed in the rocks. Aplite dykes and migmatitization of paragneisses occurred at the same time the rocks were metamorphosed. The D₂ deformational phase was produced by the simple shear deformation of the unit and folds of various styles around rigid inclusions and the strike-slip shear zone near the boundary of the granulite and the Varied Group were formed. The F₁ and F₂ folds are parallel with the stretching and mineral lineation indicating a NS to NW-SE direction of the thrusting. The youngest deformation is characterized by spectacular boudinage and by folding of the vertically oriented planes.

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Zusammenfassung Drei Deformationsphasen der variszischen tektonischen Entwicklung sind in der Bunten Gruppe des südlichen Moldanubikums des Böhmischen Massivs enthalten. Die Deformation ist mit der von NW nach SE orientierten überschiebung von gro\en Krusteneinheiten mit Granuliten verbunden. Die Entstehung von jüngeren N-S und NW-SE verlaufenden Scherzonen kann auf die überschiebungsbewegung bezogen werden. Die Strukturentwicklung beginnt mit F₁ isoklinalen Falten, die wahrscheinlich den nichtmetamorphisierten Sedimenten aufgeprägt wurden. Während der Abschlu\phase der Formung wurden sie stark geplättet und es entstand die B₁ Boudinage. Die Aplitgänge, Migmatitisation der Paragneisse und Metamorphose der Gesteine sind gleichzeitig. Die D₂ Deformationsphase wurde durch einfache Scherung der Einheit hervorgerufen und es entstanden Falten verschiedenen tektonischen Stils in der Umgebung starrer Einschlüsse und die Blattverschiebung an der Grenze von Granulit und Bunter Gruppe. Die F₁ und F₂ Falten liegen parallel zur Streckungslmeation und überschiebungsrichtung ab. Die jüngste Deformation ist charakterisiert durch eine spektakuläre Boudinage und Faltung der senkrecht stehenden Flächen.

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Résumé L'étude structurale détaillée de la Série Variée du Moldanubien méridional dans le Massif de Bohème a permis de distinguer trois phases de déformation dans le développement tectonique varisque. Cette déformation est liée au charriage, du Nord-Ouest vers le Sud-Est, de grandes unités crustales comportant des granulites. La genèse de zones de cisaillement plus jeunes, d'orientation N-S et NW-SE peut Être liée au mÊme processus de charriage. Le développement structural commence avec des plis isoclinaux F₁ engendrés vraisemblablement dans les sédiments non métamorphisés. Au stade final de leur formation, ils ont été très aplatis et un boudinage B₁ est apparu. L'intrusion de filons d'aplite et la migmatitisation des paragneisses sont contemporaines du métamorphisme. La deuxième déformation D₂ a été le fait d'un cisaillement simple; à ce moment se sont formés des plis de style tectonique très variés, localisés fréquemment autour d'inclusions rigides. De cette étape date également le décrochement ductile entre les granulites et la Série Variée. Les plis F₁ et F₂ sont parallèles à la linéation d'étirement (linéation minérale) qui indique la direction N-S à NW-SE du charriage. La déformation la plus jeune comporte un boudinage spectaculaire et le plissement des plans d'attitude verticale.

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