Relaciones entre operaciones diferenciales del Cálculo vectorial y paréntesis de Lagrange,con aplicatión a la Hidrodinámica

Resumen Como aplicación hidrodinámica de un problema más general, tratado al principio, demostraremos el siguiente teorema:El rotacional del campo de la variación unitaria del torbellino de las partículas que se mueven rotacionalmente en líquidos ideales y homogéneos puede representarse por medio de paréntesis deLagrange.

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Zusammenfassung Als hydrodynamische Anwendung eines eingangs behandelten allgemeineren Problems wird folgender Satz bewiesen:Der Rotor des Feldes der individuellen Ableitung des Wirbelvektors der sich drehend bewegenden Partikel idealer und homogener inkompressibler Flüssigkeiten läßt sich mittels der Klammersymbole vonLagrange darstellen.

     

Effect of Berm Width and Elevation on Irregular Wave Run-Up

This paper discusses the effect of berm width and elevation of composite slope on irregular wave run-up. Based on the data obtained from model tests, the formula and distribution of irregular wave run-up on composite slope are derived. The changing of wind speed, width and elevation of the berm are considered comprehensively. The wave run-up with various exceedance probability can be es-timated utilizing the distribution curves of irregular wave run-up.     

Shear Failure of a Clamped Dented Tubular Beam Under Lateral Impact

- The shear failure of a rigid-plastic dented clamped tubular beam under the lateral impact of a mass is investigated. Both the denting and the impact point are in the middle span of the beam. It is assumed that denting does not spread during the shear sliding. Numerical results show that the axial force and lateral deflection of the beam are very small at the moment of the occurence of shear failure, which means that the finite deformation effect can be neglected in the shear failure analysis. Also, some aspects of the initial impact energy are investigated.     

Siltation Prediction for Navigation Channels and Harbour Basins on Muddy Beach

- This paper, after briefly reviewing the experimental research on sediment transport on muddy beach since the 1950s, improves and perfects the method for forecasting siltation in navigation channels and harbour basins which was first put forward in China by the authors. In consideration of silty sediment and sand, some factors in forecasting methods have been changed and modified. Consequently, the modified methods can be used either to compute siltation in navigation channels and harbour basins on muddy beach or to compute siltation and scouring in navigation channels and harbour basins on both silty beach and sandy beach. The verification of field data from eleven large, medium and small natural harbours shows a good agreement between the forecasting by the modified method and the natural conditions. Finally, the paper deals with the rational utilization of water area after the construction of the West Dyke in Lianyungang, the maintenance of water depth of the navigation channel at the entrance, siltation distribution, siltation in the navigation channel and harbour basin for ships of 100 thousand tonnnage. Results once again prove that the prospect of constructing Lianyungang Harbour into a deepwater harbour is bright.     

Calculating Method and Verification of Wave Pressure Distribution on the Breast Wall of Mound Breakwater

In this paper, the calculating charts and formulae about wave pressure on the breast wall are derived with seven parameters on the basis of physical model study. The verification shows that the charts agree with the example, and are adopted in the Specifications of Fishery Harbours Breakwater by the Ministry of Agricultures.     

Theory and Practice of Soft Clay Engineering

-The shear strength and deformation properties of soft clay are discussed first. Then some methods for predicting the performance of soft clay foundation are proposed. Finally, case histories are presented to illustrate some discussed aspects of soft clay.     

Two case histories of tunnels through squeezing rocks

Summary The expression squeezing rock is a concept too vague to be used by practicing engineers. In this paper, it is assumed to mean large convergences of the tunnel walls.Two case histories are briefly presented. The Frejus tunnel was driven with a large overburden; on the contrary, the Sidi Mezghiche tunnel was shallow. Different techniques were used to control the convergences. In both cases, the tunnels were located in complex formations; the complexity stems from the heterogeneity and anisotropy of the rock masses, and no efficient technique is available to determine the geotechnical characteristics and the natural state of stress in the formations.     

Mineralogy and fluid inclusion study of polymetallic veins in the Madjarovo ore field,Eastern Rhodope,Bulgaria

Summary The formation of the Madjarovo polymetallic ore deposit is closely related to Paleogene magmatism of intermediate character represented by subvolcanic and volcanic rocks. Six stages of vein type mineralization were established: 1. quartz-pyrite-chalcopyrite with Bi-sulphosalts; 2. quartz-hematite-chlorite with gold; 3. quartz-galena-sphalerite; 4. quartz-barite-chalcedony with Sb-sulphosalts; 5. quartz-arsenic sulphosalts; 6. calcite-siderite. Ag-bearing galena and Fe-poor sphalerite are the main minerals. Galena of early formation is Bi-bearing, while in late stages it carries more Sb. Gold was found in two generations in different parageneses. The early gold is Ag-poor and related to hematite, while the late one is Ag-rich and closely associated with quartz and sulphosalts. Three groups of sulphosalts were established: Se-bearing Bi-sulphosalts; Sb-sulphosalts, a part of them Cl-bearing, and As-sulphosalts with more or less Ag. Fluid inclusion data obtained in quartz, amethyst, sphalerite and barite from several representative ore veins show formation temperatures in the range of 370° to 150°C for different stages of mineralization. Evidence of boiling fluids suggests pressures of 70 to 180 bars which correspond to an average depth of mineralization near 1.000 m. The low salinities of the fluids (a/v 3.5 eq. wt% NaCI) indicate influx of meteoric waters during mineralization. On the basis of mineralogical and fluid inclusion data physicochemical conditions and source of the ore forming fluids are discussed.

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Mineralogie und Flüssigkeitseinschlüsse in polymetallischen Erzgngen der Lagerstätte Madjarovo, Ost-Rhodopen, Bulgarien

Zusammenfassung Die Bildung der polymetallischen Lagerstätte Madjarovo war eng verknüpft mit einem Paläogenen Magmatismus von intermediärem Charakter, der durch Subvulkanite und Vulkanite repräsentiert wird. Es wurden sechs Bildungsstadien der Gangvererzung festgestellt: 1. Quarz-Pyrit-Chalcopyrit mit Bi-Sulfosalzen; 2. Quarz-Hämatit-Chlorit mit Gold; 3. Quarz-Galenit-Sphalerit; 4. Quarz-Baryt-Chalzedon mit Sb-Sulfosalzen; 5. Quarz-As-Sulfosalze; 6. Calcit-Siderit. Ag-führender Galenit und Fe-armer Sphalerit sind die Hauptminerale. Früh gebildeter Galenit is Bi-haltig, während Galenite der späteren Bildungsstadien mehr Sb führen. Gold wurde in zwei Generationen in unterschiedlichen Paragenesen gefunden. Das Früh-Gold (Ag-arm) ist verknüpft mit Hämatit, während das Spät-Gold (Ag-reich) mit Quarz und Sulfosalzen eng assoziiert ist. Es wurden drei Gruppen von Sulfosalzen festgestellt: Se-führende Bi-Sulfosalze; Sb-Sulfosalze, die z.T. Cl-führend sind, und As-Sulfosalze mit mehr oder weniger Ag-Gehalten. Flüssigkeitseinschlüsse in Quarz, Amethyst, Sphalerit und Baryt aus mehreren repräsentativen Erzgängen zeigen Bildungtemperaturen von 370°–150°C für unterschiedliche Mineralisationsstadien. Siedende Lösungen weisen auf einen Druckbereich von 70–180 Bar hin, der einer durchschnittlichen Bildungstiefe von 1.000 m entspricht. Die durchweg niedrige Salinität der Lösungen (durchschnittlich 3.5. Gew.% NaCl äq.) wird auf einen Zufluß von meteorischen Wässern während der Mineralisation zurückgeführt. Auf der Basis der mineralogischen Ergebnisse und der Daten fluider Einschlüse werden die physikochemischen Bedingungen und die Herkunft der Erzlösungen diskutiert.

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With 4 Figures     

Crystal chemistry of a highly disordered Mg-Al natural spinel

Summary A Mg-Al spinel from a xenolith found in the Sacrofano volcanic area (Latium, Italy) was investigated by X-ray single crystal diffraction and electron microprobe. Its main structural parameters were: a₀ = 8.0922(3) Å and the oxygen coordinate u = 0.26213(4), which gave to tetrahedral and octahedral bond distances of 1.9220(6) Å and 1.9299(3) Å respectively. Cation distribution, obtained from structural and chemical data, showed a very high Mg-Al disorder, with an Al(T) content of 0.205 and an inversion parameter, i, of about 0.23. Comparison with the cation distribution of a spinel with similar chemical composition but occurring in chlorite schists (Shishimsk Mountains, Urals, Russia) with a₀ = 8.1003(3) Å and u=0.26330(3), and with data from the literature concerning spinels from metamorphosed limestones (Kalkbro, Sweden) and websteritic dikes (Balmuccia, Italy), all characterized by much lower Mg-Al disorder (i about 0.13–0.12), suggests a completely different thermal history, with rapid cooling rates and consequent high closure temperature of intracrystalline exchange, consistent with the Sacrofano geological environment.

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Kristallchemie eines stark ungeordneten, natürlichen Mg-Al-Spinells

Zusammenfassung Ein Mg-Al-Spinell aus einem Xenolith des Vulkangebiets von Sacrifano (Latium, Italien) wurde mit Röngten-Einkristallmethoden und der Elektronenmikrosonde untersucht. Die wichtigsten Strukturparameter sind a_o = 8,0922(3) Å und die Sauerstoffkoordinate u = 0,26213(4), was zu den tetraedrischen und oktaedrischen Bindungsabständen von 1,9220(6) Å bzw. 1,9299(3) Å führt. Die aus den strukturellen und chemischen Daten erhaltene Kationenverteilung zeigt eine sehr starke Unordnung Mg-Al mit einem Al (T)-Gehalt von 0,205 und einem Inversionsparameteri von ca. 0,23. Der Vergleich mit der Kationenverteilung eines Spinells ähnlicher chemischer Zusammensetzung, aber aus Chloritschiefern (Schischimsk-Berge, Ural, Rußland) mit a₀ = 8,1003(3) Å und u=0,26330(3), sowie mit Literaturdaten über Spinelle aus metamorphen Kalken (Kalkbro, Schweden) und websteritischen Gängen (Balmuccia, Italien), die alle durch eine viel geringere Mg-Al-Unordnung charakterisiert sind (i etwa 0,13–0,12), weist auf eine völlig andere thermische Geschichte hin, und zwar mit rascher Abkühlungsgeschwindigkeit und hoher Schließungstemperatur des intrakristallinen Austausches, was mit den geologischen Verhältnissen von Sacrofino in Übereinstimmung steht.

     

Mountain restoration: Soil and surface wildlife habitat

Much wildlife habitat is being destroyed by extractive resource industries in mountain environments. This article illustrates how mountain wildlife habitat was restored in a devastated area. A strip mine for coal on the east slopes of the Alberta Rockies, occupied during its operations by Rocky Mountain bighorn sheep (Ovis canadensis canadensis, Shaw 1803), was reclaimed as bighorn habitat. By considering the behaviour and habitat requirements of bighorns in conjunction with an operating coal mine and reclamation process, a large coal mining company has been able to reconstruct the mine site restoration to benefit mountain sheep. Although bighorn habitat requirements are well known, it was not until the animal and its requirements were studied against the backdrop of an operating coal mine that obvious recommendations regarding the maintenance and placement of high steep excavated rock faces were made and accepted by the government regulatory agencies. An open pit mine is a devastated landscape; trees, soil and overburden are removed to retrieve coal that may be up to 215 m underground. Overburden and soil are returned, but the disturbance compares to the barren landscapes left behind by glaciers. Contouring of the land, grading of overburden and soil, seeding with grass and legume mixtures and extensive fertilization are designed to speed plant colonization and soil development. By examining the bighorn's biological needs with respect to specific mining operations, a unique opportunity arose to employ McHarg's design with nature concept. This approach incorporates environmental and societal values into every aspect of development, and promotes the evaluation of the constraints and opportunities arising. The sheep numbered about 200. Their seasonal movements were similar to those found on native ranges. They used the reclaimed areas as winter range and for the mineral licks exposed during mining; in summer, the sheep moved to nearby alpine areas. Two thirds of all sightings were confined to 1.3 km² of reclaimed grassland; its average productivity (4190 kg/ha) exceeded native ranges (1700 kg/ha). The body mass of female sheep in autumn equalled that of the largest in Alberta, but the skull dimensions were not larger than those of adjacent ranges. Infestation with lungworms was moderate. Lamb production and survival were high. Design criteria should be: feeding areas should be dry and lie within 300 m of escape terrain, which should have a slope of 40% and contain at least three benches. Rock piles should be placed on grazing areas. Mineral licks, a vital welfare factor, already existed within the high walls created by strip mining.