A general correspondence principle for time-domain electromagnetic wave and diffusion fields

A general correspondence principle is presented that relates any time-domain electromagnetic diffusion field to an electromagnetic wavefield in a 'corresponding' configuration. The principle applies to arbitrarily inhomogeneous and anisotropic media and arbitrary transmitters and receivers. For the correspondence between the two types of electromagnetic fields to hold, the electric conductivity in the diffusive case and the permittivity in the wavefield case should have the same spatial variation, while the permeability distributions in space in the two cases are to be identical. Essential steps in the derivation of the correspondence principle are the use of the time Laplace transformation of causal signals, taken at real, positive values of the transform parameter, the Schouten-Van der Pol theorem in the theory of the Laplace transformation, and the reliance upon Lerch's theorem of the uniqueness of the interrelation between causal field quantities and their time-Laplace-transform representations at real, positive values of the transform parameter. Correspondence is then established between the tensorial Green's functions in the two cases, where the Green's functions are the point-receiver responses (either electric or magnetic field) to point-transmitter excitations (either electric- or magnetic-current source).
Through the correspondence principle, all transient electromagnetic wavefields (where losses are neglected) have as a counterpart a transient diffusive electromagnetic field (where the electric displacement current is neglected). The interrelation yields the tool to compare quantitatively the potentialities of the two types of fields in transient electromagnetic geophysical prospecting.
Finally, a general medium-parameter scaling law for time-domain electromagnetic wavefields is presented.     

Calculating the two-dimensional magnetotelluric Jacobian in finite elements using reciprocity

To speed up the calculation of the field Jacobian for 2-D magnetoteliuric inversion using finite elements, the principle of electromagnetic reciprocity is applied. The governing relationship for the Jacobian of the field along strike is obtained by differentiating the Helmholtz equation with respect to the resistivity of each region in the finite-element mesh. The result is a similar Helmholtz equation for the Jacobian, with new sources distributed over all nodes within the parameter medium. However, according to the principle of electromagnetic reciprocity, the roles of sources and receivers are interchangeable. Utilizing reciprocity, the field values obtained from the original forward problem and for new unit sources imposed at the receivers are then utilized in the calculation of the Jacobian by simple multiplication and summation with finite-element terms at each rectangle in the mesh. For the auxiliary (across-strike) fields, the Jacobian terms are obtained by solving source vectors loaded with parabola coefficients used in the approximation to Maxwell's equations. Jacobian terms for the apparent resistivity ( p _a), the impedance phase (φ) and the vertical magnetic field ( K _zy) are then calculated utilizing the parallel- and auxiliary-field Jacobians. Comparison of Jacobian values obtained from reciprocity calculations and by differencing two forward solutions show that the reciprocity method is accurate and can be used to decrease the number of calculations required to obtain sensitivities by one to two orders of magnitude.     

Limiting the soil degradational impacts of wildfire in pine and eucalyptus forests in Portugal: A comparison of alternative post-fire management practices

In newly burnt and unburnt pine and eucalyptus forest in Portugal, overland flow and soil losses were monitored to assess the impacts of the following post-fire treatments: application of different quantities of logging litter; rip-ploughing compared with minimum tillage prior to planting eucalyptus seedlings; and clearance of pine needles and vegetation. Eucalyptus logging litter reduced soil losses by up to 95 per cent. The impact of pine logging litter was equivocal, but removal of pine needles increased soil losses elevenfold. Implications for soil longevity, soil quality and land management strategy are discussed.     

Experimental determination of the solubility of Au in silicate melts

Summary We report here new data on the solubility of Au in silicate melts of anorthite-diopside eutectic composition at a wide range of oxygen fugacities, from pure oxygen to 10^–8 atm, and at a temperature range of 1300 °C to 1480 °C. Because experiments were done with metal loops at temperatures above the Au-melting temperature, PdAu-metal-alloys had to be used. Pd-solubility data derived from the same set of experiments agree with earlier data obtained from experiments with pure Pd-metal (Borisov et al., 1994a). The results of the present experiments show that Pd-solubilities are by a factor of 2 to 6 higher than Au-solubilities. Both, Au and Pd solubilities decrease with decreasing oxygen fugacity. At oxygen fugacities below the iron-wiistite buffer (IW) Au solubility increases with decreasing fO₂ probably reflecting formation of Au-silicides at such reducing conditions. Compared to Pd, Au has higher activity coefficients in Fe-metal and lower solubility in silicate melts. This leads to similar metal-silicate partition coefficients for both elements. At a temperature of 1350 °C and an oxygen fugacity corresponding to IW-2 D^Au (met/sil) is about 2.5 · 10⁷ and D^Pd (met/sil) about 1.6 · 10⁷. Thus similar behavior is expected during metal separation in planetary bodies including core formation in the Earth. The metal/silicate partition coefficient of Ir is, however, by several orders of magnitudes higher (Borisov and Palme, 1995a). Equilibration with chondritic metal will therefore lead to grossly non-chondritic Pd/Ir or Au/Ir ratios in coexisting silicate phases. Chondritic ratios are thus indicative of the presence of unfractionated meteoritic components. Samples from the upper mantle of the Earth, for example, reflect the admixture of a late unfractionated (chondritic) veneer (e.g.,Kimura et al., 1974;Jagoutz et al., 1979).Solubilities of Pd and Au in silicate melts are much higher than the contents in terrestrial basalts implying that the abundances of these two elements are not buffered by residual PGE- and Au-containing alloys. The most likely process for fractionating PGEs in terrestrial magmas are mineral-melt (e.g., olivine/melt) equilibria.

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Experimentelle Bestimmung der Löslichkeit von Au in Silikatschmelzen

Zusammenfassung In der vorliegenden Arbeit wird über die Ergebnisse der Bestimmung der Löslichkeit von Au in Silikatschmelzen mit der Zusammensetzung des Anorthit-Diopsid Eutektikums berichtet. Die Versuche wurden mittels Metallschlaufe über einen weiten Sauerstoffpartialdruckbereich, von reinem Sauerstoff bis zu 10^–8 atm und in einem Temperaturbereich von 1300 °C bis 1480 °C, durchgeführt. Da diese Temperaturen jedoch den Au-Schmelzpunkt überschreiten, wurde mit AuPd-Legierungen gearbeitet. Die Ergebnisse der dadurch zusätzlich erhaltenen Pd-Versuche stimmen mit früher bestimmten, mit reinen Pd-Schlaufen durchgeführten Pd-Löslichkkeiten überein (Borisov et al., 1994a). Die auf reine Metalle zurückgerechneten Löslichkeiten von Pd sind um einen Faktor 2 bis 6 mal höher als die entsprechenden Au-Löslichkeiten. Die Löslichkeiten beider Metalle nehmen mit abnehmendem Sauerstoffpartialdruck ab. Unter noch stärker reduzierenden Bedingungen (Eisen-Wüstit Gleichgewicht) nimmt die Löslichkeit von Au jedoch zu. Dies könnte auf die Bildung von Au-Siliziden zurückzuführen sein.Im Vergleich zu Pd sind die Aktivitätskoeffizienten von Au in metallischem Eisen höher, die Löslichkeiten in Silikatschmelzen jedoch niedriger. Das führt zu ähnlichen Metall/Silikat Verteilungskoeffizienten von Au und Pd. Bei einer Temperatur von 1350 °C und einer Sauerstoffugazität von IW-2 ergeben sich für D^Au (met/sil) 2.5 · 10⁷ und für D^Pd (met/sil) 1.6* 10⁷. Der Metall/Silikat-Verteilungskoeffizient von Ir ist jedoch unter den gleichen Bedingungen um mehrere Größenordnungen höher (Borisov andPalme, 1995a). Ein chondritisches Pd/Ir- oder Au/Ir-Verhältnis kann also auf die Anwesenheit einer unfraktionierten chondritischen Komponente zurückgeführt werden. Dies gilt beispielsweise für Proben aus dem oberen Erdmantel. Hier handelt es sich vermutlich um Zumischung einer späten chondritischen Akkretionskomponente, die sich nicht mehr mit einer metallischen Phase (Kern) ins Gleichgewicht gesetzt hat (z.B.Kimura et al., 1974,Jagoutz et al., 1979).Die Löslichkeiten von Pd und Au in Silikatschmelzen sind wesentlich höher als ihre Gehalte in basaltischen und komatiitischen Laven. Dies bedeutet, daß Au und Pd in Schmelzen aus dem Erdmantel nicht durch residuale Au- und/oder Pd-haltige Metall phasen bestimmt sind. Gleichgewichte zwischen Schmelze und Mineralen (z.B. Olivin) sind die wahrscheinlichsten Fraktionierungsmechanismen für Platingruppenelemente in terrestrischen Magmen.

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With 5 Figures     

Policy concerns in Bulgarian food distribution

The Bulgarian food distribution system, like those of its Central and East European neighbours, lags behind the West in critical performance areas. Previous research quantified Central and East European food distribution deficiencies on the basis of a five factor model. This study investigates the attitudes of 250 Bulgarian consumers using these same five factors: food processing, quality, cost, availability and retailing. The findings show that the Bulgarian food distribution system does not satisfy consumer wants as well as do systems in other former communist countries in four of the five factors. At the same time, Bulgarian consumers are more satisfied than UK and US consumers in the system's ability to make some foods available. The study also shows that Bulgarian consumers who use privatised shops perceive the system more positively than those who use state and cooperative outlets. The implications of these and other findings are discussed in terms of critical policy concerns for government and industry stakeholders.     

Witwatersrand iron-formations and their significance for gold genesis and the composition limits of orthoamphibole

Summary In the West Rand Group of the 3.07–2.71 Ga old Witwatersrand Supergroup, South Africa, a series of banded iron-formations occur. They are of chemical origin and were deposited in an offshore shelf environment. The coarser-grained, in places pyrite-bearing, and partly auriferous metasedimentary rocks forming the bulk of the Witwatersrand Supergroup are regressive. The iron-formations, however, were deposited during transgression. The presence of allogenic pyrite in the fluviatile metaconglomerates and that of magnetite and, in places, haematite in the marine iron-formations suggests a lower pH and higher sulfur activity for the Archaean meteoric environment than for recent hydrothermal fluids on the ocean floor. Post-depositional alteration of the Witwatersrand rocks includes burial metamorphism at temperatures between 300 and 350 °C and pressures around 2.5 kbar, and multiple hydrothermal inflitration events at slightly lower temperatures, coeval with the brittle deformation of the basin fill during the deposition of the Transvaal Supergroup and the Bushveld Vredefort events.Additional thermal metamorphic overprint of the iron-formations around the Vredefort Dome caused the growth of orthoamphiboles. They show a wide range of compositions between ferro-anthophyllite and ferrous alumino-gedrite, suggesting that the crest of the solvus curve for Fe-rich orthoamphiboles is below 500 °C.Chlorite and amphibole compositions, and the presence of Fe-oxide-bearing horizons between pyrite-bearing ones indicate that the fluid composition during post-depositional alteration was largely controlled by the bulk rock composition of the infiltrated stratigraphic horizons and not by some external source.

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Zusammenfassung Die West Rand Group innerhalb der 3.07–2.71 Milliarden Jahre alten Witwatersrand Supergroup, Südafrika, führt eine Reihe von Magnetit- und Hämatit-haltigen Eisenformationen. Diese sind chemischen Ursprungs und wurden in einem flachmarinen Schelfmilieu abgelagert. Der überwiegende Teil der Witwatersrand Abfolge, bestehend aus klastischen, verschiedentlich Pyrit-führenden und teilweise goldhaltigen Metasedimentgesteinen, kann regressiven Phasen zugeschrieben werden. Die Eisenformationen wurden hingegen während transgressiven Phasen abgelagert. Aufgrund des Auftretens allogener Pyrite in den fluviatilen Konglomeratlagen und von Magnetit und Hämatit in den marinen Eisenformationen lassen sich für den meteorischen Bereich im Archaikum niedrigere pH-Werte und höhere Schwefelfugazität ableiten als für rezente submarine hydrothermale Fluide. Post-diagenetische Alterationsprozesse sind der Versenkungsmetamorphose mit Temperaturen zwischen 300 und 350 °C und Drucken um 2.5 kbar sowie etwas niedriger temperierten hydrothermalen Fluiden zuzuschreiben, die als Folge der inkompetenten Deformation der Beckenfüllung in diese während mehrer Stadien infiltrierten. Infiltration hydrothermaler Fluide während der Ablagerung der Transvaal Supergroup (2.55 Ga) und während des Bildung der Vredefort Struktur (2.0 Ga) sind durch Altersdaten belegt.Zusätzliche thermische Metamorphose der Fe-reichen Pelite und Eisenformationen im Bereich der Vredefort Struktur führte zur Bildung von Orthoamphibolen, deren Zusammensetzung von Anthophyllit bis zu Fe-reichem Alumino-Gedrit reicht. Dies läßt darauf schließen, daß die Solvuskurve für Fe-reiche Orthoamphibole unterhalb von 500 °C liegt.Die Zusammensetzung der Chlorite und Amphibole sowie das Auftreten von Fe-Oxid-führenden Horizonten in den generall Pyrit-reichen Metasedimentgesteinen gestatten die Annahme, daß die post-diagenetische Fluidzusammensetzung hauptsächlich durch die jeweilige Zusammensetzung der infiltrierten Gesteinshorizonte und nicht durch eine externe Quelle bestimmt wurde.

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With 8 Figures     

A low plain between arcadia and agronomy: Ippolito Nievo and the Friulan landscape

An analysis of the historical and cultural context of a large number of literary works illuminates the concept of landscape, a recurrent theme in contemporary humanistic geography. In this context, the works of Ippolito Nievo present an opportunity to look closer at the socio-economic circumstances of his time while also offering suggestive interpretative elements about the attitudes held concerning the wetlands of the lower Friulan plain.     

Spatial variations in the progress of land reform in Romania

Romania's socialist agricultural sector has been transformed by a series of measures taken after the revolution of 1989. A new farm structure is emerging out of the restitution provided for under the Land Law of 1991. There are striking spatial variations in different aspects of the privatisation process, especially the contrasting situations between the hill country (with heavy pressure on land) and the plains (where there is much better supply in relation to demand). Very small units of land ownership are being grouped into larger functional units for management by associations which are especially prominent in the main cropping zones. Meanwhile individual smallholdings are predominant in the hill and mountain zones. Despite a desire for owner-occupation, association is often advantageous through efficient deployment of machinery and some 40 percent of land allocated to individual peasants is being worked by some 20,000 associations. However, the situation has not yet stabilised and it is emphasised that small farms should be regarded not simply as agricultural units but as the cores of diversified enterprises characterised increasingly by pluriactivity