Approximation formulas for the microphysical properties of saline droplets

Microphysical theory has proven essential for explaining sea spray's role in transferring heat and moisture across the air–sea interface. But large-scale models of air–sea interaction, among other applications, cannot afford full microphysical modules for computing spray droplet evolution and, thus, how rapidly these droplets exchange heat and moisture with their environment. Fortunately, because the temperature and radius of saline droplets evolve almost exponentially when properly scaled, it is possible to approximate a droplet's evolution with just four microphysical endpoints: its equilibrium temperature, T_eq; the e-folding time to reach that temperature, τ_T; its equilibrium radius, r_eq; and the e-folding time to reach that radius, τ_r.Starting with microphysical theory, this paper derives quick approximation formulas for these microphysical quantities. These approximations are capable of treating saline droplets with initial radii between 0.5 and 500 μm that evolve under the following ambient conditions: initial droplet temperatures and air temperatures between 0 and 40 °C, ambient relative humidities between 75% and 99.5%, and initial droplet salinities between 1 and 40 psu.Estimating T_eq, τ_T, and τ_r requires only one-step calculations; finding r_eq is done recursively using Newton's method. The approximations for T_eq and τ_T are quite good when compared to similar quantities derived from a full microphysical model; T_eq is accurate to within 0.02 °C, and τ_T is typically accurate to within 5%. The estimate for equilibrium radius r_eq is also usually within 5% of the radius simulated with the full microphysical model. Finally, the estimate of radius e-folding time τ_r is accurate to within about 10% for typical oceanic conditions.     

Pliocene marine deposits at Punta Maldonado, Guerrero state, Mexico

Diverse and abundant Foraminifera and Ostracoda assemblages were recovered from a measured stratigraphic section at Punta Maldonado, Guerrero state, Mexico. The planktonic species indicate an early Pliocene age, between 5.3 and 3.6 Ma; an early late Pliocene (around 2.4 Ma) planktonic assemblage also was recorded from isolated deposits. These ages contradict the Cretaceous–Paleogene age previously assigned to the sedimentary succession at Punta Maldonado. All indicators—benthic assemblages, ichnofacies, lithology, grain size, primary structures, mineralogy, body rock geometry, and facies—suggest deposition in the foreshore and offshore transition zones of a storm-dominated shallow siliciclastic shelf. The Ostracoda and Foraminifera indicate deposition around the outer neritic/upper bathyal boundary, which suggests an uplift of 320–400 m in the area during the Pliocene. This study represents the first report of Pliocene marine rocks in the southwestern coast of Mexico; the data presented contribute to regional geotectonic models.     

The role of fluorine in the evolution of ultrapotassic magmas

Summary The distribution of F and, to a lesser extent, Cl between phlogopite, amphibole, apatite, and glass in kamafugites from the West Eifel, Germany, and South-West Uganda, and from lamprophyres (minettes) from Hopi-Navajo, Arizona has been determined. In addition, these elements have been analyzed in the same phases from mantle-derived xenoliths from the kamafugitic rocks. All halogen determinations were made using a JEOL 8600 electron microprobe. The F contents and trends in the minerals and glass in the kamafugites and lamprophyres are very similar to those reported for lamproites (Edgar and Charbonneau, 1991). The results indicate that F in the minerals of ultrapotassic magmas is much greater then that found in the xenoliths that are believed to represent likely source regions for such magmas. Chlorine is present in much lower amounts and in the same phases. The discrepancy between F in the xenoliths and in the lavas, and the preference for F to be incorporated in solid phases suggest that F is insufficient to account for the F found in ultrapotassic magmas or to provide for the reduced fluid conditions proposed by Foley (1988) for the genesis of such magmas. Based on these results, the genesis of ultrapotassic magmas may occur if they are partial melts of a mantle source that has been further enriched in F by repeated partial melting of mantle-derived xenoliths such as those of southwest Uganda. Alternatively the slightly higher Cl in the minerals of the xenoliths relative to the magmas suggests that Cl has been lost during degassing of the ascending magma. This may enrich the magmas in F by a dilution effect that may take place prior to the formation of phenocrystal F-rich phlogopites that are often present in ultrapotassic magmas.

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Die Rolle von fluor in der evolution ultrapotassischer magmen

Zusammenfassung Die Verteilung von Fluor and untergeordnet von Chlor zwischen Phlogopit, Amphibol, Apatit and Glas wurde an Kamafugiten aus der westlichen Eifel, Deutschland and aus Südwest-Uganda sowie an Lamprophyren (Minetten) aus Hopi-Navajo, Arizona bestimmt. Außerdem wurde der Gehalt an diesen Elementen in den gleichen Mineralphasen von Mantel-Xenolithen aus kamafugitischen Gesteinen analysiert. Die Halogenbestimmungen wurden an einer JEOL 8600 Mikrosonde durchgeführt. Die Gehalte und Verteilungstrends von Fluor in den Mineralphasen und im Glas der Kamafugite und Lamprophyre sind vergleichbar mit jenen aus Lamproiten (Edgar und Charbonneau, 1991). Die Resultate deuten an, daß der Fluorgehalt in Mineralen ultrapotassischer Magmen viel höher ist als in Xenolithen, die als Repräsentanten der Herkunftsregion derartiger Magmen gelten. Chlor tritt in den selben Mineralphasen in viel geringeren Mengen auf. Das unterschiedliche Auftreten von Fluor in den Xenolithen und in den Laven sowie der bevorzugte Einbau von Fluor in feste Mineralphasen lassen vermuten, daß dieser Gehalt an Fluor nicht ausreicht, um den hohen Fluorgehalt in ultrapotassischen Magmen und die reduzierenden Fluida-Bedingungen, wie sie von Foley (1988) für die Genese von solchen Magmen angenommen worden sind, zu erklären. Auf der Basis dieser Ergebnisse können ultrapotassische Magmen nur dann entstehen, wenn das Mantelmaterial als Herkunft für die partielle Schmelze zum Beispiel durch wiederholtes Teilaufschmelzen von Mantelxenolithen wie jenen aus Südwest-Uganda an Fluor angereichert worden ist. Als Alternative wird angenommen, daß die leicht höheren Chlorgehalte in den Mineralen der Xenolithe verglichen mit dem der Magmen durch Chlorverlust während Entgasung beim Aufstieg des Magmas zustande gekommen sind. Dadurch kam es zu einem Verdünnungseffekt, der zu einer Anreicherung von Fluor führt, vor der Bildung von F-reichem Phlogopit als Phenokristall, Kristalle, die häufig in ultrapotassischen Magmen auftreten.

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With 9 Figures     

The lower Paleozoic Nyimaling Granite in the Indian Himalaya (Ladakh): New Rb/Sr data versus zircon typology

A granitic batholith in the Tso Morari Culmination of the most internal High Himalayan thrust sheets (Ladakh Himalaya, India) has been investigated by Rb/Sr isotopic methods as well as by typological studies on its zircon population (Pupin 1980). The good alignment and spread of the single muscovite and the 6 whole rock data points allow the tracing of a fairly good isochron of 460±8 Ma which may be considered as the granite's crystallisation age. Its Sr initial ratio (I.R.) of 0.7365±2 is very high even in respect to other anatectic granites of this suite known in the Himalayas and in continental blocks to the north. In terms of the lower Cambrian to middle Ordovician ages known for this granitic suite, the Nyimaling Granite is among the youngest. The zircon population perfectly confirms isotope data interpretation and field observations inasmuch as it is characteristic for aluminous, intrusive granites of crustal origin (cf. high Sr I.R.); moreover, the batholith is intrusive into Lower Cambrian metasediments affected by a marked contact metamorphism and a regional overprint of greenschist facies. Its crustal level is thus very high.     

Dynamical Implications of Block Averaging

We show that traditional Reynolds (block) averaging produces turbulence statistics whose time evolution is incompatible with the Navier–Stokes equation. Specifically, the zero integral scale that block averaging always produces leads to a trivial (zero-equals-zero) solution of the Navier–Stokes equation for autocovariances. We suggest alternative methods for analyzing turbulence time series that do not always generate a zero integral scale and, as a result, yield autocovariances whose time evolutions are compatible with the Navier–Stokes equation.     

Evolution des hydrocarbures dans des sédiments côtiers méditerranéens prélevés à proximité d'un emissaire d'une raffinerie de pétrole

Coastal Mediterranean sediments highly polluted by refinery effluents have been studied for their hydrocarbon content and bacterial activity. The study has taken into account both the distance from the refinery and depth of sampling. Very high hydrocarbon concentrations have been found (1–250 g/kg dry sediment). Micro-organisms in the sediments have a high bacterial activity and a good correlation exists between hydrocarbon concentrations and bacteria able to use these substrates as a carbon and energy source.     

Heat capacities of Tschermak substituted Fe-biotite

Six members of the annite–siderophyllite join were synthesized in a three step process – crystallization of biotite from gels, decomposition of the fine-grained biotite under oxidizing conditions and resynthesis of Fe-Al biotite with planned compositions from these products – producing biotite crystals with thicknesses of up to 10 μm. The biotite was characterized by microprobe, electron microscopy and X-ray diffraction. Heat capacities of these biotites were measured with a DSC (differential scanning calorimeter) over the temperature range 143 to 623 K. Using a least-squares technique, the data were fitted to a c_p-polynomial, c _p =k ₀+k ₁ T ^−0.5+ k ₂ T ⁻²+k ₃ T ⁻³. In the temperature range 143 to 250 K, heat capacities of the different annite–siderophyllite members decrease linearly with increasing Al content. At higher temperatures, however, the c_p-polynomial of biotites with intermediate composition (except Ann₇₉Sid₂₁) exhibit a steeper slope than those of other biotites. This produces positive excess heat capacities in the annite–siderophyllite join at higher temperatures. The activity-composition data of the same binary derived from phase equilibrium experiments (Benisek et al. 1996) and the data of this study suggest two compositional regions along this join, with different extent of deviation from ideality. One at X _Sid < 0.3, characterized by a small deviation, one at X _Sid > 0.3 showing a higher nonideality, resulting in a discontinuity visible at this composition. Powder IR-spectra of these solid solutions were measured with a FTIR-spectrometer and used to calculate heat capacities according to the vibrational model of Kieffer (1979). The comparison of the vibrational function with the c_p-polynomials shows that the vibrational function reproduces well the DSC-data of the siderophyllite-poor and -rich members, but deviates for intermediate compositions, where the excess heats of mixing occur. With increasing Tschermak vector, the tetrahedral rotation angle α increases from 0 to 13° for annite to siderophyllite, respectively. At the composition of the discontinuity, this rotation angle α reaches a value of ∼8^∘. The processing of ∼300 chemical data of natural biotites indicates that over 90% of them have a tetrahedral rotation angle that lies between 7 and 9°. It would appear that biotites with these structural characteristics are most stable. Received: 27 August 1998 / Accepted: 10 November 1998