Der Injektionsvorgang in klüftigem Fels

ZusammenfassungDer Injektionsvorgang in klüftigem Fels Es wird das Eindringen einer Injektionsflüssigkeit von einem Bohrloch in eine Felskluft untersucht. Die Berechnung des Eindringvorganges erfolgt zunächst für eine waagrechte Kluft, die von einem Bohrloch senkrecht geschnitten wird. Das Injektionsgut soll sich wie eine Binghamsche Flüssigkeit verhalten. Es werden die Massenbeschleunigung, die bei turbulenter Strömung auftretenden Verluste und die Spaltrauhigkeit berücksichtigt. Mit Hilfe von hier aufgestellten Kriterien kann man für jeden praktisch vorkommenden Fall entscheiden, ob man durch Vernachlässigung einiger Terme der Differentialgleichung zu einfachen Lösungen kommen kann. Das wird in der Praxis oft der Fall sein.Für geneigte Klüfte wird eine Näherungslösung entwickelt. Ein Vergleich des Injektionsvorganges in klüftigem Fels mit dem in Lockerboden ergibt eine große Ähnlichkeit.Die Ergebnisse der Theorie lassen sich in der Praxis anwenden.

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SummaryThe Penetration of Grouting Fluid into Fissured Rock The penetration of grouting fluid from a bore hole into a rock fracture is investigated. First, a horizontal fracture is assumed which is intersected by a vertical bore hole. The grouting fluid is supposed to be a Bingham liquid. The differential equation of the non-stationary problem is solved, taking the influence of mass-acceleration, friction occurring in turbulent flow and on the surface roughness of the fracture surfaces into account. Criteria are developed which permit one to decide, when by omitting some terms in the differential equation, simpler solutions can be achieved. This will often be the case in engineering practice.An approximation is given for an inclined fracture. The penetration of grouting fluid into fissured rock is shown to be similar to that into porous soil.The results of the theory can be used in engineering practice.

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RésuméLa pénétration des injections dans les roches fissurées Dans le présent article l'auteur examine la pénétration d'un coulis d'injection dans une fissure de roche à partir d'un forage. On suppose d'abord la fissure horizontale et le forage vertical. Le coulis est supposé être un liquide de Bingham. L'équation différentielle du problème non-stationaire est résolue en tenant compte des forces d'accélération, du frottement qui résulte du courant turbulent ainsi que de la rugosité des fissures de la roche. A l'aide des critères établis dans ce travail on peut facilement décider, pour chaque cas pratique, s'il est possible d'omettre quelques termes de l'équation différentielle et d'obtenir ainsi des solutions plus simples. Dans la pratique ce sera certainement souvent le cas.Une solution approximative est développée pour une fissure inclinée. La comparaison du mécanisme d'infiltration dans une roche fissurée montre une forte ressemblance avec celui dans un sol poreux.Les résultats de la théorie sont utilisables dans la pratique.

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Mit 3 Abbildungen     

Determination of hydrocarbon distributions in oils and sediment extracts by gas chromatography—high resolution mass spectrometry

The distributions of steroid and triterpenoid hydrocarbons in crude oils and sedimentary rock extracts can be routinely determined by the direct injection of the sample into a gas chromatograph coupled to a mass spectrometer (GC-MS). The mass spectrometer is operated at a resolution of about 2500 (10% valley), and only the ion intensities at selected accurate mass values, diagnostic of the structural types of interest, are monitored throughout the analysis. The distributions, so obtained, find application in the assessment of the source and thermal maturity of crude oil accumulations in the subsurface. This technique eliminates chromatographic separation steps and combines two analyses in one. Thus, more geological samples and reference mixtures may be analyzed in a given time.     

Shock effects in MgAl2O4-spinel

Shock recovery experiments on synthetic MgAl₂O₄-spinel samples in the pressure range 25.5 to 50.5 GPa have been performed in order to examine the effects of shock waves on this material. The shocked samples were subsequently studied in the transmission electron microscope. All samples showed shock-induced dislocations with the Burgers vector 1/2 〈110〉 and twin lamellae of the twin-law {111}. In addition, samples, which had experienced the higher pressures, showed lamellar areas of a crystalline phase that we have not yet been able fully to characterize. It is probably not ε-MgAl₂O₄.     

Phosphoric acid fractionation factors for smithsonite and cerussite between 25 and 72°C

The intramolecular kinetic oxygen isotope fractionation between CO₂ and CO₃²⁻ during reaction of phosphoric acid with natural smithsonite (ZnCO₃) and cerussite (PbCO₃) has been determined between 25 and 72°C. While cerussite decomposes in phosphoric acid within a few hours at 25°C, smithsonite reacts very slowly with the acid at 25°C providing yields of CO₂ < 25% after 2 weeks. The low yields result in a low precision for oxygen isotope measurements of the acid-liberated CO₂ (±1.65‰, 1σ, n = 9). The yield and reproducibility of oxygen isotope values of the acid-liberated CO₂ from smithsonite can be improved, the latter to ∼±0.15‰, by increasing the reaction temperature to 50°C for 12 h or to 72°C for 1 h. Our new phosphoric acid fractionation factor for natural cerussite at 25°C deviates significantly from a previously published value on synthetic material. The temperature dependence of the oxygen isotope factionation factor, α between acid-liberated CO₂ and carbonate at 25 to 72°C is given by the following equations

     

The influence of trench migration on slab penetration into the lower mantle

A two-dimensional numerical convection model in cartesian geometry is used to study the influence of trench migration on the ability of subducted slabs to penetrate an endothermic phase boundary at 660 km depth. The transient subduction history of an oceanic plate is modelled by imposing plate and trench motion at the surface. The viscosity depends on temperature and depth. A variety of styles of slab behaviour is found, depending predominantly on the trench velocity. When trench retreat is faster than 2–4 cm/a, the descending slab flattens above the phase boundary. At slower rates it penetrates straight into the lower mantle, although flattening in the transition zone may occur later, leading to a complex slab morphology. The slab can buckle, independent of whether it penetrates or not, especially when there is a localised increase in viscosity at the phase boundary. Flattened slabs are only temporarily arrested in the transition zone and sink ultimately into the lower mantle. The results offer a framework for understanding the variety in slab geometry revealed by seismic tomography.     

Minimum friction velocity and heat transfer in the rough surface layer of a convective boundary layer

A simple model is deduced for the surface layer of a convective boundary layer for zero mean wind velocity over homogeneous rough ground. The model assumes large-scale convective circulation driven by surface heat flux with a flow pattern as it would be obtained by conditional ensemble averages. The surface layer is defined here such that in this layer horizontal motions dominate relative to vertical components. The model is derived from momentum and heat balances for the surface layer together with closures based on the Monin-Obukhov theory. The motion in the surface layer is driven by horizontal gradients of hydrostatic pressure. The balances account for turbulent fluxes at the surface and fluxes by convective motions to the mixed layer. The latter are the dominant ones. The model contains effectively two empirical coefficients which are determined such that the model's predictions agree with previous experimental results for the horizontal turbulent velocity fluctuations and the temperature fluctuations. The model quantitatively predicts the decrease of the minimum friction velocity and the increase of the temperature difference between the mixed layer and the ground with increasing values of the boundary layer/roughness height ratio. The heat transfer relationship can be expressed in terms of the common Nusselt and Rayleigh numbers, Nu and Ra, as Nu ~ Ra^{% MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSGbaeaaca% aIXaaabaGaaGOmaaaaaaa!3779!\[{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}\]}. Previous results of the form Nu ~ Ra^{% MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSGbaeaaca% aIXaaabaGaaG4maaaaaaa!377A!\[{1 \mathord{\left/ {\vphantom {1 3}} \right. \kern-\nulldelimiterspace} 3}\]} are shown to be restricted to Rayleigh-numbers less than a certain value which depends on the boundary layer/roughness height ratio.     

Heat flow during the carboniferous and mesozoic of the Northwest German Basin

The temperature history of the Northwest German Basin has been reconstructed using a one-dimensional computer model that accounts for compaction-related changes of physical rock properties, depth, temperature and maturity of organic matter. Maturity has been modelled by empirically relating vitrinite reflectance to time-temperature history. Heat flow values for the Mesozoic and Carboniferous have been obtained by matching measured and computed vitrinite reflectance. For Mesozoic samples agreement between measured and computed maturity can be achieved with a heat flow between 37 and 50 mW/m² (0.9 and 1.2 hfu). There is no systematic areal variation. Carboniferous samples are matched best at heat flows between 70 and 96 mW/m² (1.7 and 2.3 hfu), corresponding to geothermal gradients between 50 and 80 °C/km depending on lithology and compaction. Areal variation follows patterns subparallel to the structural grain of the Variscan orogeny. Mesozoic heat flow is compatible with heat flow in stable platform areas. Carboniferous heat flow and its geotectonic setting are best in agreement with present-day back-arc areas underlain by continental crust.

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Zusammenfassung Die Temperaturgeschichte des Nordwestdeutschen Bekkens wurde mittels eines eindimensionalen Computermodells rekonstruiert, das auch kompaktionsbezogenen Änderungen der physikalischen Gesteinseigenschaften, der Tiefe und der Temperatur gerecht wird. Die Reife wurde simuliert, indem Vitrinitreflexion und Zeit-Temperatur Verlauf empirisch miteinander korelliert wurden. Die Wärmeflußwerte für das Karbon und das Mesozoikum wurden dadurch ermittelt, daß gemessene und berechnete Vitrinitreflexion in optimale Übereinstimmung gebracht wurden. Für das Mesozoikum kann eine Übereinstimmung bei Wärmeflußwerten zwischen 37 und 50 mW/m² (0.9 und 1,2 hfu), für das Karbon für Werte zwischen 70 und 96 mW/m² (1.7 und 2.3 hfu) erzielt werden, was je nach Lithologie und Kompaktionszustand einem Geothermalgradienten zwischen 50 und 80 °C/km entspricht. Nur für die karbonischen Daten ist eine systematische räumliche Änderung der Werte erkennbar. Der Wärmefluß im Mesozoikum entspricht dem in heutigen stabilen Plattformgebieten. Wärmefluß und geotektonische Position im Karbon sind vergleichbar mit solchen heutigen »back-arc« Gebieten, die von kontinentaler Kruste unterlagert sind.

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Résumé L'histoire thermique du bassin allemand nord-occidental a été simulée sur ordinateur au moyen d'un modéle unidimensionnel; ce modèle tient compte des changements introduits par la compaction dans les propriétés physiques de roches, de la profondeur, de la température et de l'évolution de la matière organique. Pour modéliser cette évolution, on a établi une corrélation entre la réflectance de la vitrinite et l'histoire thermique. Les valeurs du flux de chaleur pour le Mésozoïque et le Carbonifère ont été obtenues par ajustement entre la réflectance de la vitrinite observée et calculée. Pour les échantillons mésozoïques, les valeurs calculées et mesurées s'accordent le mieux pour un flux compris entre 37 et 50 mW/m2 (0.9 et 1,2 HFU). Il n'y a pas de variation régionale systématique. Pour le Carbonifère, le meilleur accord donne un flux siuté entre 70 et 96 mW/m2 (1,7 et 2,3 HFU), ce qui correspond à des gradients géothermiques de 50 et 80 °C/Km, selon la lithologie et le degré de compaction. Il existe dans le Carbonifère, des variations régionales, qui parallélisent les lignes structurales de l'orogène varisque. Le flux de chaleur mésozoïque est compatible avec une situation de plate-forme stable. Le flux de chaleur carbonifère et sa répartition géotectonique fait plutôt penser, dans la nature actuelle, aux régions d'arrière-arc sur croûte continentale.

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