The qualitative zoning record of minerals. A method for determining the duration of metamorphic events?     

K. Stüwe  K. Ehlers 《Mineralogy and Petrology》1996,56(3-4):171-184

Summary The efficacy of ion exchange in petrological systems, for example the Fe-Mg exchange between garnet and biotite, is a function of grainsize, temperature, rates of temperature change and diffusion parameters. The combination of these variables determines the final zoning profile of minerals. Therefore, zoning profiles may be used to derive one of these variables if the others are known. For example, a mineral grain that experienced a short thermal event may still preserve a zoning profile characteristic of the heating path. In contrast, if that grain experienced a long thermal event it may develop a zoning profile typical of the cooling path. Conversely, for the same temperature-time cycle, large grains may not completely equilibrate at the metamorphic peak, and in smaller grains any previous record may have been erased. This is commonly observed in natural rocks where different grains within one thin section preserve often qualitatively different zoning profiles. Thus, a critical grainsize,l _crit, may exist that separates grains with qualitatively different zoning profiles so that grains of sizel > l _crit still retain zoning information about the heating path and grains of sizel <l _crit contain only information about the cooling path. If the critical grainsize can be measured and an independent estimate for the peak metamorphic temperature exists, the duration of the thermal event may, in principle, be estimated.The applicability of this method to natural garnets is hampered by a range of uncertainties. However, a parameterisation of the critical grain size may be used to illustrate the relative importance of grain size, temperature and event duration to the equilibration of minerals. In this paper, the critical grainsize is parameterized for various temperature-time cycles and its dependence on diffusion parameters is discussed. It is shown that, for Barrovian conditions,l _crit between 0.1 and 1 mm separates garnets retaining prograde information from garnets retaining cooling path information. For illustration, we compare the results with the critical grainsize of garnets from two metamorphic terranes, the Prydz Bay region (Antarctica) and the Koralm complex (Eastern Alps). Despite the large range of uncertainties attached to the method, it is shown that the critical grainsize of garnets in both terranes is consistent with a very short duration of the last thermal event that affected the two regions.

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Die qualitative Form von Zonierungsprofilen in Mineralen. Information über die Dauer metamorpher Ereignisse?

Zusammenfassung Zonierungsprofile von Paragenesen im Ionenaustausch, zum Beispiel das Fe-Mg Austauschsgleichgewicht zwischen Granat und Biotit, sind eine Funktion von (i) Korngröße, (ii) Temperatur, (iii) Kühl- und Heizgeschwindigkeit sowie (iv) den Diffusionskonstanen. Es sollte daher möglich sein, Zonierungsprofile dazu zu verwenden, einen dieser Parameter zu bestimmen, wenn die anderen bekannt sind. Zonierungsprofile von Kristallen die ein kurzes thermisches Ereignis erfahren haben, mögen daher prograde Information beinhalten, wogegen derselbe Kristall ein retrogrades Profil aufweisen mag, wenn er einem langlebigen thermischen Ereignis unterlag (prograd und retrograd ist hier als: bei ansteigender Temperatur und bei abfallender Temperatur definiert). In Kristallen die dem gleichen Temperatur-Zeitpfad unterworfen waren, könnten kleine Körner nur die Kühlgeschichte dokumentieren, wogegen große noch Zonierungsinformation vom Heizpfad aufweisen. In natürlichen Gesteinen wird das oft dadurch beobachtet, daß verschiedene Körner auseinem Dünnschliff qualitativ verschiedene Zonierungsprofile aufweisen. Es ist daher möglich eine kritische Korngöße,l _crit, zu definieren, die Korngrößen mit qualitativ verschiedenen Zonierungsprofilen voneinander trennt. Körner mit einem Durchmesserl > l _crit haben, zumindest teilweise, noch prograde Profile, wogegen Körner mitl <l _crit nur retrograde Information dokumentieren. Wenn man diese kritische Korngröße messen kann, sollte sie dazu benutzt werden können, etwas über die Dauer des thermischen Ereignisses auszusagen.Die Anwendbarkeit dieser Methode ist durch eine Reihe von Fehlern limitiert. Nichtsdestotrotz, ist eine Parameterisierung der kritischen Korngröße nützlich um die relative Wichtigkeit von Korngröße, Temperatur und Zeit, für die Entwicklung von Zonierungsprofilen, zu illustrieren. Unser Modell kann dazu benutzt werden, um die Größenordnung von Granaten abzuschätzen, die noch prograde Information dokumentieren können. Die Abhängigkeit der kritischen Korngröße von Diffusionsparametern und der Form des Temperatur-Zeit Pfades wird ebenfalls diskutiert. Es wird gezeigt, daß für Metamorphose in der mittleren Grünschiefer und Amphibolit fazies,l _crit zwischen 0.1 and 1 mm prograd zonierte von retrograd zonierten Granaten trennt. Um das Modell zu illustrieren, werden die Ergebnisse auf die Prydz Bay Region (Antarktis) und den Koralm Komplex (Ostalpen) angewendet. Trotz der großen Fehlergrenzen der Methode glauben wir zeigen zu können, daß die kritische Korngröße beider Terrains andeutet, daß das letzte thermische Ereignis in beiden Gebieten kurzlebig war.

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With 5 Figures  相似文献   

One‐dimensional dynamics of saturated incompressible porous media: analytical solutions and influence of inertia terms          下载免费PDF全文

Yunpeng Zhang  Dorival M. Pedroso  Wolfgang Ehlers 《国际地质力学数值与分析法杂志》2016,40(18):2489-2513

The complexity of formulations for the hydromechanical coupled mechanics of porous media is typically minimised by simplifying assumptions such as neglecting the effect of inertia terms. For example, three formulations commonly employed to model practical problems are classified as fully dynamic, simplified dynamic and quasi‐static. Thus, depending on the porous media conditions, each formulation will have advantages and limitations. This paper presents a comprehensive analysis of these limitations when solving one‐dimensional fully saturated porous media problems in addition to a new solution that considers a more general loading situation. A phase diagram is developed to assist on the selection of which formulation is more appropriate and convenient regarding particular cases of porosity and hydraulic conductivity values. Non‐dimensional formulations are proposed to achieve this goal. Results using the analytical solutions are compared against numerical values obtained with the finite element method, and the effect of porosity is investigated. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

Stress‐dependent hardening and failure surfaces of dry sand     

W. Ehlers  O. Avci 《国际地质力学数值与分析法杂志》2013,37(8):787-809

During several triaxial compression experiments on plastic hardening, softening, and failure properties of dense sand specimens, it was found on various stress paths that the size of the failure surface was not constant. Instead, it changed depending on the current state of hydrostatic pressure. This finding is in contrast to the standard opinion consisting of the fact that the failure surface remains constant, once it has been reached during an experiment or in situ. In general, the behaviour of cohesionless granular‐material‐like sand is somehow characterised in between fluid and solid, where the solid behaviour results from the angle of internal friction and the confining pressure. Although the friction angle is an intrinsic material property, the confining pressure varies with the boundary conditions, thus defining different solid properties like plastic hardening, softening, and also failure. Based on our findings, it was the goal of the present contribution to introduce an improved setting for the plastic strain hardening and softening behaviour including the newly found yield properties at the limit state. For the identification of the material parameters, a complete triaxial experimental analysis of the tested sand is given. The overall elasto‐plasticity concept is validated by numerical computations of several laboratory foundation‐ and slope‐failure experiments. The performance of the proposed approach is compared with the standard concept of a constant failure surface, where the corresponding yield surfaces are understood as contours of equivalent plastic work or plastic strain. Copyright © 2012 John Wiley & Sons, Ltd.  相似文献   

Improvement of ERS-1 orbits using along-track accelerations from DORIS data on SPOT2     

S. Ehlers  P. Moore 《Annales Geophysicae》1994,12(8):775-784

In long-arc precise orbit determinations of altimetric satellites such as ERS-1, large errors may occur from mismodelling of aerodynamic drag and solar radiation pressure. Such surface forces for non-spherical satellites require accurate modelling of the effective area and particle-surface interactions, but the dominant source of error is neutral air density as derived from thermospheric models for aerodynamic drag. Several techniques can be employed to alleviate air-drag mismodelling but all require the solution of additional parameters from the tracking data. However, for ERS-1 the sparsity of laser range data limits the application of such empirical techniques. To overcome this, use can be made of the dense DORIS Doppler tracking for SPOT2 which is in a similar orbit to ERS-1. A recent investigation by CNES examined the use of drag scale factors from SPOT2 to constrain the ERS-1 orbit. An improvement to that methodology is to consider along-track mismodelling as observed by timing errors in the Doppler data for each pass of SPOT2. The along-track correction to the acceleration as derived from SPOT2 can then be applied to ERS-1 orbits, solving for a scale factor to absorb systematic errors - particularly that arising from the 50 km altitude difference. Results are presented of the associated improvement in ERS-1 orbits as derived from concurrent SPOT2 arcs. It will be seen that the procedure not only improves the laser range fit, but more importantly, leads to more precise radial positioning as evident in the altimeter and crossover residuals.  相似文献   

BSH und Meereskunde     

Dr. Peter Ehlers 《Ocean Dynamics》1990,43(6):323-328

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Titanian chondrodite and clinohumite in marbles from the Ötztal crystalline basement     

Karin Ehlers  Dr. Georg Hoinkes 《Mineralogy and Petrology》1987,36(1):13-25

Summary Marble lenses within the polymetamorphic Ötztal crystalline complex frequently contain pockets of clinohumite and chondrodite and their titanium-rich varieties. Chondrodites contain up to 9.1 wt% TiO₂ and clinohumites about half that amount. The maximum amounts of Ti in both minerals do not exeed values of 0.4 in the formula. XTi and X_F are correlated by a slope of –1, indicating the efficiency of the TiO₂Mg_–1F_–2 substitution at constant OH (Evans andTrommsdorff, 1983). Clinohumites sometimes contain lamellae which have nonstoichiometric cation ratios reflecting a composition between clinohumite and olivine. In many cases Ti-rich clinohumites and chondrodites coexist with Mg-ilmenite. Ti-rich clinohumites and chondrodites often break down to a symplectite of Ti-poor clinohumite (or olivine) and Mg-ilmenite. Parts of the marbles, which are barren of Mg-ilmenite contain F-rich clinohumites. The latter do not show any signs of breakdown features. We conclude therefore that fluorine stabilizes the humite group minerals to a wide range of metamorphic conditions. Ti-rich humite-group minerals are not stable till amphibolite facies conditions, and below F-rich humite-group minerals and olivine are the more stable phases in a H₂O-rich, SiO₂-poor carbonate system.

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Titanreiche Chondrodite und Klinohumite in Marmoren des Ötztalkristallins.

Zusammenfassung In Marmorlinsen des polymetamorphen Ötztalkristaliins kommen häufig titanarme und titanreiche Clinohumite und Chondrodite vor. Die höchsten Titan-Gehalte in Chondrodit betragen 9.1 Gew.-% TiO₂ während Clinohumite nur etwa die Hälfte dieses Wertes enthalten. Dies entspricht einem Maximalgehalt an Titan von 0.4 in den Formeln von Chondrodit und Clinohumit. Eine negative Korrelation zwischen X_Ti, und X_F mit der Steigung von –1 bestätigt die Wirksamkeit der Substitution TiO₂Mg_–1F_–2 bei konstantem OH (Evans undTrommsdorff, 1983). In Clinohumiten konnten nichtstöchiometrische Lamellen nachgewiesen werden, die chemisch zwischen Clinohumit und Olivin zusammengesetzt sind. Ti-reiche Clinohumite und Chondrodite koexistieren immer mit Mg-Ilmenit und wandeln sich häufig an ihren Rändern in einen Symplektit von Ti-ärmerem Clinohumit oder Olivin und Mg-Ilmenit um. In den Mg-Ilmenit freien Bereichen der Marmore kommen stets Ti-arme aber F-reiche Clinohumite vor, die niemals randliche Umwandlungserscheinungen zeigen. Die grobkörnigen (mm-großen) Humitminerale werden der variszischen Metamorphose in Amphibolitfazies zugeschrieben, während die Symplektite als Produkte der eoalpinen grünschieferfaziellen Überprägung angesehen werden. Wir schließen daraus, daß die Humitminerale durch Fluor in einem großen Bereich metamorpher Bedingungen stabilisiert werden, während Ti-reiche Humitminerale bei Bedingungen der Grünschieferfazies instabil werden und F-reiche Humitminerale und Olivin die stabilen Phasen in einem H₂O-reichen, SiO₂-armen Karbonatsystem sind.

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Preface     

Peter Ehlers 《Ocean Dynamics》1998,50(1):5-6

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Small-scale diffusion experiments in the Baltic surface-mixed layer under different weather conditions     

Prof. Dr. Friedrich Schott  Mafred Ehlers  Lutz Hubrich  Detlef Quadfasel 《Ocean Dynamics》1978,31(6):195-215

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Manches ist erreicht,vieles bleibt zu tun Eröffnungsansprache zum 9. Meeresumweltsymposium     

Ehlers  Peter 《Ocean Dynamics》1999,51(10):9-10

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Influence of the Andes Mountains on South American moisture transport, convection, and precipitation   总被引：1，自引：0，他引：1  

Nadja Insel  Christopher J. Poulsen  Todd A. Ehlers 《Climate Dynamics》2010,35(7-8):1477-1492

Mountain ranges are known to have a first-order control on mid-latitude climate, but previous studies have shown that the Andes have little effect on the large-scale circulation over South America. We use a limited-domain general circulation model (RegCM3) to evaluate the effect of the Andes on regional-scale atmospheric dynamics and precipitation. We present experiments in which Andean heights are specified at 250 m, and 25, 50, 75, and 100% of their modern values. Our experiments indicate that the Andes have a significant influence on moisture transport between the Amazon Basin and the central Andes, deep convective processes, and precipitation over much of South America through mechanical forcing of the South American low-level jet (LLJ) and topographic blocking of westerly flow from the Pacific Ocean. When the Andes are absent, the LLJ is absent and moisture transport over the central Andes is mainly northeastward. As a result, deep convection is suppressed and precipitation is low along the Andes. Above 50% of the modern elevation, a southward flowing LLJ develops along the eastern Andean flanks and transports moisture from the tropics to the subtropics. Moisture drawn from the Amazon Basin provides the latent energy required to drive convection and precipitation along the Andean front. Large northerly moisture flux and reduced low-level convergence over the Amazon Basin leads to a reduction in precipitation over much of the basin. Our model results are largely consistent with proxy evidence of Andean climate change, and have implications for the timing and rate of Andean surface uplift.  相似文献