Chronometric calibration of a comparative time scale for the mesozoic and paleozoic

The relationship between radiometric and biostratigraphic ages is analyzed by local empirical methods and illustrated in chronograms for the mesozoic and paleozoic stages. The chronograms allow estimates for stage boundaries and their errors. Consequently, the ages for epoch boundaries and their errors are discussed which, for several reasons, may not be identical with the age and error of the oldest stage of an epoch.The analysis results in a comparative time scale which could be a compromise between the time scales currently under discussion. A specific feature of the derived time scale is its rather strong cyclicity with periods around 74 (73±1) ma.

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Zusammenfassung Alter und Fehlergrenzen für mesozoische und paläozoische Stufengrenzen werden mittels einer lokalen empirischen Schätzmethode neu berechnet. Daraus ergeben sich Schätzungen für die Alter und Fehler der Epochengrenzen, die aus verschiedenen Gründen nicht mit denen derältesten Stufe einer Epoche zusammenfallen.Die Auswertung der Chronogramme führt zu einer vergleichenden Zeitskala, die im wesentlichen einen Kompromi\ zwischen den gegenwärtig gängigen Zeitskalen darstellt. Bemerkenswert ist, da\ die Zeitskala ein hohes Ma\ an Zyklizität aufweist, wobei sich Perioden von 74 (73±1) ma ergeben.

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Résumé Les relations entre les âges radiométriques et les âges biostratigraphiques sont analysées par des méthodes locales et empiriques. Elles sont présentées dans des chronogrammes se référant aux étages du MésozoÏque et du PaléozoÏque. Ces chronogrammes permettent d'estimer les limites d'étages et les erreurs de cette estimation. Les âges des limites de systèmes et leurs erreurs sont discutés en conséquence. Pour diverses raisons ils ne sont pas identiques à ceux de l'étage le plus ancien d'un système.L'analyse des chronogrammes aboutit à une échelle de temps comparative qui représente un compromis entre les échelles de temps couramment discutées. Une propriété remarquable de cette échelle est de faire apparaÎtre une cyclicité dont la période est de 74 (73±1) Ma.

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Sediment compaction in large scale systems

The classical partial differential equation for compaction proves to provide a rather singular model, if the deformations caused by overload become reasonably large. An alternative model for compaction is derived by adapting an Eulerian view and by deriving the model equations from integral equations rather than from a priori differentiability assumptions. The result is not — as usual — a single partial differential equation, but an infinite set of differential equations, interesting in both mathematical and geological terms.Although there are still several simplifications and linearizations in the derived model, the model illustrates at least that the classical Terzaghi equation and mathematical models in its vicinity are highly idealized and probably instable, if applied to large scale systems.

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Zusammenfassung Die klassische partielle Differentialgleichung für die Kompaktion stellt ein sehr vereinfachtes Modell dar, zumindest für den Fall, daß die Deformationen infolge Auflast sehr groß werden. Hier wird ein alternatives Modell entwickelt, das nicht von der Voraussetzung der Differenzierbarkeit ausgeht, sondern über Integralgleichungen entwickelt wird, wobei die Eulersche Sicht des Raum-Zeitbezuges zur Anwendung kommt. Das Resultat ist dann nicht mehr eine einfache partielle Differentialgleichung, sondern ein unendliches System solcher Gleichungen.Obwohl auch das entwickelte Modell vereinfachte Annahmen erfordert und stark linearisiert, so verdeutlicht es doch zumindest, daß die klassische Therzaghi Gleichung und modifizierte Modelle, die auf diese Gleichung aufbauen, sehr wahrscheinlich instabil sind, wenn sie auf Systeme mit großen Deformationen angewandt werden.

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Résumé L'équation classique aux dérivées partielles de la compaction fournit un modèle très simplifié, particulièrement dans le cas où les déformations dues à la surcharge deviennent considérables. L'auteur propose en alternative un modèle, adapté des conceptions eulériennes, qui repose sur les équations intégrales plutót que sur la présomption de différenciabilité. Le résultat n'est plus une simple équation aux dérivées partielles, mais un système infini de telles équations.Bien que le modèle présenté implique des hypothèses simplificatrices et des linéarisations, on peut néanmoins en déduire que l'équation classique de Terzaghi, ainsi que les modèles modifiés qui en découlent, sont très probablement instables s'ils sont appliqués à des systèmes à forte déformation.

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GPS network monitors the Arabia-Eurasia collision deformation in Iran

The rate of crustal deformation in Iran due to the Arabia–Eurasia collision is estimated. The results are based on new global positioning system (GPS) data. In order to address the problem of the distribution of the deformation in Iran, Iranian and French research organizations have carried out the first large-scale GPS survey of Iran. A GPS network of 28 sites (25 in Iran, two in Oman and one in Uzbekistan) has been installed and surveyed twice, in September 1999 and October 2001. Each site has been surveyed for a minimum observation of 4 days. GPS data processing has been done using the GAMIT-GLOBK software package. The solution displays horizontal repeatabilities of about 1.2 mm in 1999 and 2001. The resulting velocities allow us to constrain the kinematics of the Iranian tectonic blocks. These velocities are given in ITRF2000 and also relative to Eurasia. This last kinematic model demonstrates that (1) the north–south shortening from Arabia to Eurasia is 2–2.5 cm/year, less than previously estimated, and (2) the transition from subduction (Makran) to collision (Zagros) is very sharp and governs the different styles of deformation observed in Iran. In the eastern part of Iran, most of the shortening is accommodated in the Gulf of Oman, while in the western part the shortening is more distributed from south to north. The large faults surrounding the Lut block accommodate most of the subduction–collision transition.     

Tectonic significance of Late Neoproterozoic granites from the Tibesti massif in southern Libya inferred from Sr and Nd isotopes and U–Pb zircon data

The Neoproterozoic crust of the Tibesti massif was stabilized by magmatism that included subduction-generated batholithic suites and post-orogenic granite plutons. All of the magmatism occurred in a period of about 20 million years centered around 550 Ma, and nearly all of the granites have initial ⁸⁷Sr/⁸⁶Sr ratios of about 0.706. The Wadi Yebigue pluton has U–Pb zircon ages of 563 Ma and 558 Ma on two different phases and ε_Nd at 550 Ma from −0.5 to −2.2. These isotopic data and the geologic history of the massif suggest that granites in the Tibesti massif developed during and shortly after closure of a short-lived ocean basin that developed by fragmentation of pre-existing continental crust of the Saharan region.     

Stationary solutions in simplified resonance cases of the restricted three-body problem

In the planar elliptic problem Sun-Jupiter-massless body we consider the resonances of mean motion 3/2, 2/1, 3/1, 7/3 and 1/3. Short-period effects are eliminated by Schubart's averaging method. Applying a minimization technique, stationary solutions can be found in the given resonance cases. Some of these solutions are well-known as periodic solutions in the rigorous (i.e., unaveraged) restricted problem. It is illustrated how one can construct in a numerical way a linearized theory of motion around a stationary solution and results are presented.Proceedings of the Sixth Conference on Mathematical Methods in Celestial Mechanics held at Oberwolfach (West Germany) from 14 to 19 August, 1978.     

Propagation of seasonal temperature signals into an aquifer upon bank infiltration

Infiltrating river water carries the temperature signal of the river into the adjacent aquifer. While the diurnal temperature fluctuations are strongly dampened, the seasonal fluctuations are much less attenuated and can be followed into the aquifer over longer distances. In one-dimensional model with uniform properties, this signal is propagated with a retarded velocity, and its amplitude decreases exponentially with distance. Therefore, time shifts in seasonal temperature signals between rivers and groundwater observation points may be used to estimate infiltration rates and near-river groundwater velocities. As demonstrated in this study, however, the interpretation is nonunique under realistic conditions. We analyze a synthetic test case of a two-dimensional cross section perpendicular to a losing stream, accounting for multi-dimensional flow due to a partially penetrating channel, convective-conductive heat transport within the aquifer, and heat exchange with the underlying aquitard and the land surface. We compare different conceptual simplifications of the domain in order to elaborate on the importance of different system elements. We find that temperature propagation within the shallow aquifer can be highly influenced by conduction through the unsaturated zone and into the underlying aquitard. In contrast, regional groundwater recharge has no major effect on the simulated results. In our setup, multi-dimensionality of the flow field is important only close to the river. We conclude that over-simplistic analytical models can introduce substantial errors if vertical heat exchange at the aquifer boundaries is not accounted for. This has to be considered when using seasonal temperature fluctuations as a natural tracer for bank infiltration.     

The nature and transport of the fine‐grained component of Swift Creek Landslide,Northwest Washington

Extreme sedimentation in Swift Creek, located in the Cascades foothills in NW Washington (48°55′N, 122°16′W), results from erosion of the oversteepened, unvegetated toe of a large (55 hectares) active landslide. Deposition of landslide‐derived sediment has necessitated costly mitigation projects in the channel including annual dredging and temporary sediment traps in an attempt to reduce the risk of flooding and damage to man‐made structures downstream. This study attempts to understand the process of sediment production along with the corresponding erosion rates of the sediment source to help with the development of mitigation plans and construction of optimal sediment reservoirs. The bedload and suspended sediment in the creek are a direct result of the weathering process of the serpentinitic bedrock underlying the landslide. The serpentinite does not weather to smectite clay, as previously thought. Instead, it weathers to asbestiform chrysotile with minor amounts of chlorite, illite and hydrotalcite, all of which occur in clay seeps on the unvegetated surface of the landslide. The chrysotile fibers average 2 µm in length and make up at least 50%, by volume, of the suspended load transported in Swift Creek. This study does not address the environmental or health implications of the asbestiform chrysotile transport or deposition. During the sampled time between February 2005 and February 2006, 127 discrete suspended sediment samples were collected and discharge was measured 66 times. The suspended sediment concentrations ranged from 0·02 g L^?1 to 41·6 g L^?1 and the discharge ranged from 0·0 m³ s^?1 to 0·5 m³ s^?1. A nonlinear functional model estimated the total suspended sediment flux from detailed precipitation records and discrete suspended sediment concentration and discharge measurements to be 910 t km^?2 yr^?1. When the suspended sediment flux is coupled with estimates of downstream deposition of coarse sediment, the estimated erosion rate for the entire Swift Creek landslide is 158 mm yr^?1. The majority of the material entering Swift Creek is presumed to originate on the unvegetated toe of the landslide, for which the erosion rate is thus approximately 1 m yr^?1. Copyright © 2010 John Wiley & Sons, Ltd.     

Development and morphometry of drainage network in volcanic terrain, Central Anatolia, Turkey

This paper presents the results of morphotectonic and morphometric research carried out in order to determine the neotectonic development of the volcanic mountains and a drainage network in SW Cappadocia. The study area extends among the Aksaray, Ni?de, and Nev?ehir Provinces. The study area comprises Hasanda?, Melendiz, Keçiboyduran, Göllüda? Mountains and the adjacent parts of these volcanic mountains.Data collected exclusively from 1:25,000 digitised topographic maps and 10 m-resolution DEMs were used to define parameters related to the longitudinal profile of streams. The study area was divided into 10 volcanic units. Longitudinal profiles of 20 streams and stream orders were analysed to determine a regional tectonic differentiation pattern in these units. The streams in the study area drain into four different tectonic depressions. These depressions are Aksaray plain controlled by the Tuz Gölü fault (TGF), Çiftlik plain controlled by the Keçiboyduran–Melendiz fault (KMF), Misli plain controlled by the Derinkuyu fault (DF), and Bor plain controlled by the Ni?de Fault Zone (NFZ). An analysis of morphometric parameters shows that the development of a drainage network is associated with faults and rock resistance. Occurrence of morphometric parameters with different values in units reveals that the volcanic mountains were not uplifted in the same period and were subjected to different morphologic processes. High total order number in the south of Hasanda? (unit 3) and Melendiz Mountains (unit 7) indicate that the uplift ratio of the southern part is much greater than that of the northern part. Moreover, development of the drainage network in the south is in a more advanced phase than in the north. Indeed, the drainage network in the north is in the youngest erosional phase of all parts of the study area. The increased stream length-gradient indices (SL), and stream gradients and an analysis of headward erosion show that the streams displaying the longest and highest reach of the erosional phase are all in the southern part of Keçiboyduran and Melendiz Mountains. The longitudinal profile (Lp) of the present thalweg of the streams is irregular. The irregular Lp are associated with four different causes. These are geological variations in resistance, tectonics, and volcanic topography and downcutting in response to stream incision. The beginning of the fluvial incision in the northern part is younger than in the south.