No description available.

Sei V ein holomorphes Vektorbündel über einer q-konvexen Mannigfaltigkeit X. Die Andreotti-Grauert-Theorie sagt, dass die r-te Kohomologiegruppe holomorpher Schnitte mit Werten in V endlich-dimensional ist und dass die Kohomologie verschwindet, falls X q-vollständig ist. Ist E ein holomorphes Banachbündel über X, dann ist bekannt, dass die erste Kohomologiegruppe verschwindet, falls X Steinsch ist. Kapitel I gibt einen ausführlichen Überblick über die Arbeit. In Kapitel II wird gezeigt, dass es holomorphe Hilbertbündel über 1-konvexen Mannigfaltigkeiten gibt, für die die erste Kohomologie nicht Hausdorffsch ist. In Kapitel III wird folgender Endlichkeitssatz gezeigt: Ist E ein holomorph triviales Banachbündel oder ein holomorphes Banachbündel von kompaktem Typ mit kompakter Approximationseigenschaft über einer q-konvexen Mannigfaltigkeit X, und ist V ein holomorphes Vektorbündel über X, für das die q-te Kohomologie verschwindet, dann gilt: Die q-te Kohomologie für das Tensorprodukt von V und E ist endlich-dimensional. Ist X q-vollständig, dann verschwindet die r-te Kohomologie, falls r größer oder gleich q ist. Für r größer q kann dies auch für beliebige holomorphe Banachbündel E gezeigt werden. Im Anhang wird skizziert, wie der Ansatz der L2-Methode im Fall r gleich q für Hilbertbündel zu einem Verschwindungssatz führen könnte. / Let V be a holomorphic vector bundle over a q-convex manifold X. The Andreotti-Grauert theory says that the r-th cohomology group of holomorphic section with values in V is finite dimensional and that the cohomology is vanishing if X is q-complete. If E is a holomorphic Banach bundle over X, it is known that the first cohomology group vanishes if X is Stein. Chapter I gives a detailed overview of the work. In chapter II it is shown that there are holomorphic Hilbert bundles over 1-convex manifolds such that the first cohomology of the bundle is not Hausdorff. In chapter III the following finiteness theorem is shown: If E is a holomorphically trivial Banach bundle or a holomorphic Banach bundle of compact type with the compact approximation property over a q-convex manifold X, and if V is a holomorphic vector bundle over X such that the q-th cohomology vanishes, then the following holds true: The q-th cohomology for the tensor product of V and E is finite dimensional. If X is q-complete, then the r-th cohomology vanishes if r is greater or equal q. If r is greater than q, this is shown also for arbitrary holomorphic Banach bundles E. In the appendix it is sketched how for r equal q the L2 method could yield a vanishing theorem for Hilbert bundles.

Geophysical methods are essential for exploration and monitoring of subsurface formations, e.g. in carbon dioxide sequestration or enhanced geothermal energy. One of the keys to their successful application is the knowledge of how the measured physical quantities are related to the desired reservoir parameters. The work presented in this thesis shows that the presence of carbon dioxide (CO2) in pore space gives rise to multiple processes all of which contribute to the electrical rock conductivity variation. Basically, three mechanisms take place: (1) CO2 partially replaces the pore water, which is equivalent to a decrease in water saturation. (2) CO2 chemically interacts with the pore water by dissolution and dissociation. These processes change both the chemical composition and the pH of the pore filling fluid. (3) The low-pH environment can give rise to mineral dissolution and/or precipitation processes and changes the properties of the grain-water interface. Investigations on the pore water phase show that the reactive nature of CO2 in all physical states significantly acts on the electrical conductivity of saline pore waters. The physico-chemical interaction appears in different manifestations depending mainly on the pore water composition (salinity, ion types) but also on both temperature and pressure. The complex behaviour includes a low- and a high-salinity regime originating from the conductivity increasing effect of CO2 dissociation, which is opposed by the conductivity decreasing effect of reduced ion activity caused by the enhanced mutual impediment of all solutes. These results are fundamental since the properties of the water phase significantly act on all conduction mechanisms in porous media. In order to predict the variation of pore water conductivity, both a semi-analytical formulation and an empirical relationship for correcting the pore water conductivity, which depends on salinity, pressure and temperature, are derived. The central part of the laboratory experiments covers the spectral complex conductivity of water-bearing sand during exposure to and flow-through by CO2 at pressures up to 30MPa and temperatures up to 80°C. It is shown that the impact of CO2 on the real part of conductivity of a clean quartz sand is dominated by the low- and high-salinity regime of the pore water. The obtained data further show that chemical interaction causes a reduction of interface conductivity, which could be related to the low pH in the acidic environment. This effect is described by a correction term, which is a constant value as a first approximation. When the impact of CO2 is taken into account, a correct reconstruction of fluid saturation from electrical measurements is possible. In addition, changes of the inner surface area, which are related to mineral dissolution or precipitation processes, can be quantified. Both the knowledge gained from the laboratory experiments and a new workflow for the description and incorporation of geological geometry models enable realistic finite element simulations. Those were conducted for three different electromagnetic methods applied in the geological scenario of a fictitious carbon dioxide sequestration site. The results show that electromagnetic methods can play an important role in monitoring CO2 sequestration. Compared to other geophysical methods, electromagnetic techniques are generally very sensitive to pore fluids. The proper configuration of sources and receivers for a suitable electromagnetic method that generates the appropriate current systems is essential. Its reactive nature causes CO2 to interact with a water-bearing porous rock in a much more complex manner than non-reactive gases. Without knowledge of the specific interactions between CO2 and rock, a determination of saturation and, consequently, a successful monitoring are possible only to a limited extend. The presented work provides fundamental laboratory investigations for the understanding of the electrical properties of rocks when the reactive gas CO2 enters the rock-water system. All laboratory results are put in the context of potential monitoring applications. The transfer from petrophysical investigations to the planning of an operational monitoring design by means of close-to-reality 3D FE simulations is accomplished.

Geophysical methods are essential for exploration and monitoring of subsurface formations, e.g. in carbon dioxide sequestration or enhanced geothermal energy. One of the keys to their successful application is the knowledge of how the measured physical quantities are related to the desired reservoir parameters. The work presented in this thesis shows that the presence of carbon dioxide (CO2) in pore space gives rise to multiple processes all of which contribute to the electrical rock conductivity variation. Basically, three mechanisms take place: (1) CO2 partially replaces the pore water, which is equivalent to a decrease in water saturation. (2) CO2 chemically interacts with the pore water by dissolution and dissociation. These processes change both the chemical composition and the pH of the pore filling fluid. (3) The low-pH environment can give rise to mineral dissolution and/or precipitation processes and changes the properties of the grain-water interface. Investigations on the pore water phase show that the reactive nature of CO2 in all physical states significantly acts on the electrical conductivity of saline pore waters. The physico-chemical interaction appears in different manifestations depending mainly on the pore water composition (salinity, ion types) but also on both temperature and pressure. The complex behaviour includes a low- and a high-salinity regime originating from the conductivity increasing effect of CO2 dissociation, which is opposed by the conductivity decreasing effect of reduced ion activity caused by the enhanced mutual impediment of all solutes. These results are fundamental since the properties of the water phase significantly act on all conduction mechanisms in porous media. In order to predict the variation of pore water conductivity, both a semi-analytical formulation and an empirical relationship for correcting the pore water conductivity, which depends on salinity, pressure and temperature, are derived. The central part of the laboratory experiments covers the spectral complex conductivity of water-bearing sand during exposure to and flow-through by CO2 at pressures up to 30MPa and temperatures up to 80°C. It is shown that the impact of CO2 on the real part of conductivity of a clean quartz sand is dominated by the low- and high-salinity regime of the pore water. The obtained data further show that chemical interaction causes a reduction of interface conductivity, which could be related to the low pH in the acidic environment. This effect is described by a correction term, which is a constant value as a first approximation. When the impact of CO2 is taken into account, a correct reconstruction of fluid saturation from electrical measurements is possible. In addition, changes of the inner surface area, which are related to mineral dissolution or precipitation processes, can be quantified. Both the knowledge gained from the laboratory experiments and a new workflow for the description and incorporation of geological geometry models enable realistic finite element simulations. Those were conducted for three different electromagnetic methods applied in the geological scenario of a fictitious carbon dioxide sequestration site. The results show that electromagnetic methods can play an important role in monitoring CO2 sequestration. Compared to other geophysical methods, electromagnetic techniques are generally very sensitive to pore fluids. The proper configuration of sources and receivers for a suitable electromagnetic method that generates the appropriate current systems is essential. Its reactive nature causes CO2 to interact with a water-bearing porous rock in a much more complex manner than non-reactive gases. Without knowledge of the specific interactions between CO2 and rock, a determination of saturation and, consequently, a successful monitoring are possible only to a limited extend. The presented work provides fundamental laboratory investigations for the understanding of the electrical properties of rocks when the reactive gas CO2 enters the rock-water system. All laboratory results are put in the context of potential monitoring applications. The transfer from petrophysical investigations to the planning of an operational monitoring design by means of close-to-reality 3D FE simulations is accomplished.

In den letzten Jahren intensivierten sich die Bemühungen, anisotropes Verhalten von Gesteinen in numerischen Modellen abzubilden. Für ein tiefgreifendes Verständnis dieser Prozesse sind numerische Modelle gut geeignet, da hier die Rand- und Anfangsbedingungen sehr exakt vorgegeben werden können, um das Verhalten eines pkysikalischen Systems unter vollständig kontrollierbaren Bedingungen zu studieren. Am Beispiel von Gneis wird ein numerisches Modell für die Modellierung einaxialer Druck- und Spaltzugversuche vorgestellt. Dieses nutzt den Diskreten-Element-Code 3DEC der Fa. Itasca Consulting Group, Inc. um gekoppeltes nichtlinear-anisotropes thermo-mechanisches Materialverhalten zu simulieren. In dieser Arbeit wird sowohl der Modellaufbau anhand eines GBM gezeigt, als auch ein Stoffgesetz zur Simulation eines nichtlinearen orthotropen thermischen Expansionsverhaltens entwickelt. Die dafür benötigten Modellparameter werden anhand von durchgeführten Laborversuchen kalibriert. Das entwickelte Modell wird dann angewendet, um die Modellierung einaxialer Druck- und Spaltzugversuchen für ein anisotropes Material (Gneis) durchzuführen, um das Modell zu validieren. Am Ende der Arbeit wird eine praktische Anwendung des Modells in Form eines Schneidversuchs gezeigt. / In recent years, efforts have intensified to simulate the anisotropic behavior of rocks in numerical models. Numerical models are well suited for a profound understanding of these processes, since the boundary and initial conditions can be specified very precisely in order to study the behavior of a physical system under fully controllable conditions. Using the example of gneiss, a numerical model is presented for the modeling of uniaxial compression and Brazilian tensile tests. The discrete element code 3DEC from the company Itasca Consulting Group, Inc. is used to simulate coupled nonlinear- anisotropic thermo-mechanical material behavior. In this thesis the model generation is shown using Grain-Based Models and a material law for the simulation of a nonlinear orthotropic thermal expansion behavior is developed. The model parameters required for this are calibrated based on performed laboratory tests. The developed model is then applied to perform modeling of uniaxial compression and Brazilian tensile tests for an anisotropic material (gneiss) to validate the model. Lastly, a practical application of the model is shown in the form of a cutting test.

Geotechnische Problem- und Fragestellungen befassen sich zunehmend mit der komplexen Interaktion unterschiedlicher physikalischer Prozesse. Ein Beispiel sind hydro-mechanische Wechselwirkungen, die in verschiedenen Anwendungsbereichen eine große Rolle spielen (Hydraulic Fracturing, Bewertung von Barriereintegrität, Böschungsanalysen, etc.). Numerische Simulationen helfen dabei, umfangreiche multiphysikalische Vorgänge abzubilden. Zur hinreichend genauen und effizienten Bearbeitung kann es jedoch sein, dass die Anwendung eines einzelnen spezialisierten Softwarepaketes nicht ausreicht und nur Softwarekopplungen Abhilfe schaffen. Die vorliegende Arbeit erweitert die geomechanische Komplexität einer hydro-mechanischen Kopplung auf visko-elasto-plastisches Materialverhalten im Salinar. Betrachtet werden langandauernde und großräumig induzierte Fluidbewegungen in den durch Volumenkonvergenz charakterisierten lösungserfüllten Abbauen in einem generischen Kali- bzw. Steinsalzbergwerk. Zur Bearbeitung der Problemstellung wird eine grundlegende Methode zur Kopplung der numerischen Codes FLAC3D und Ansys Fluent entwickelt, detailliert vorgestellt und verifiziert. Unterschiedliche Modellszenarien in Bezug auf die initiale Fluidverteilung simulieren eindrucksvoll das Strömungsverhalten im generischen Grubenmodell unter Ausbildung eines freien Fluidspiegels oder eines Überdrucks im eingeschlossenen Fluid. Die Ergebnisse werden umfassend analysiert und das Potenzial zu Effizienzsteigerung durch die Softwarekopplung aufgezeigt. / Geotechnical problems and questions are progressively dealing with complex interactions of different physical processes. An example is hydro-mechanical coupling playing an important role in various research topics and applications (e.g. hydraulic fracturing, assessment of barrier integrity and slope analysis). Numerical simulations help to model extensive multi-physical processes. However, for an accurate and efficient processing, using a single specialized numerical code may not be sufficient and solutions can be obtained only with software couplings. The presented work extends the geomechanically complexity of a hydro-mechanical coupling by visco-elasto-plastic material behaviour in salt formations considering long-lasting and large-scale induced fluid flow within solution-filled cavities in a generic potash or rock salt mine, due to volume convergence. For solving this problem, a basic method for coupling the numerical codes FLAC3D and Ansys Fluent is developed, presented, and verified in detail. Different model scenarios in respect to initial fluid saturation are simulating the fluid flow in the generic mine model, depicting either a free fluid surface or an excess pressure in the trapped fluid. The results are analysed, and the potential for the increase of efficiency through the software coupling of FLAC3D and Ansys Fluent is demonstrated.

Über die additive Fertigung, oftmals bezeichnet als 3D-Druck, lassen sich Bauteile nahezu beliebiger geometrischer Komplexität herstellen. Gleichzeitig lassen die Prozessrandbedingungen die direkte Einstellung der Mikrostruktur in den verwendeten metallischen Werkstoffen zu. Hieraus ergeben sich weitreichende Möglichkeiten bezüglich der Eigenschaftsoptimierung aktueller Hochleistungswerkstoffe.

Die Schriftenreihe „Werkstoffe und werkstofftechnische Anwendungen“ behandelt Themengebiete der Werkstoffwissenschaft und -technik, der Oberflächentechnik sowie deren industriellen Anwendungen. Es werden aktuelle Forschungsergebnisse aus den vier Professuren des Instituts für Werkstoffwissenschaft und Werkstofftechnik der TU Chemnitz vorgestellt: Professur Elektronenmikroskopie und Mikrostrukturanalytik, Professur Verbundwerkstoffe und Werkstoffverbunde, Professur Werkstoff- und Oberflächentechnik, Professur Werkstoffwissenschaft. Weiterhin sind in der Schriftenreihe die Tagungsbände des jährlich am Institut stattfindenden „Werkstofftechnischen Kolloquium“ enthalten. Die einzelnen Bände beschäftigen sich mit den Forschungsgebieten Galvanische Metallabscheidung, Anodisieren, Thermisches und Kaltgas-Spritzen, Löten, Verbundwerkstoffe, Werkstoffverbunde, Wärmebehandlung, CVD-Beschichtungen/PVD-Beschichtungen, Simulation in der Beschichtungstechnik, Organisches Beschichten (Pulverbeschichten, Lackieren, Sol-Gel-Verfahren), Elektrochemisches Strukturieren, Thermomechanische Behandlung und Mechanische Werkstoffeigenschaften. / The book series „Werkstoffe und werkstofftechnische Anwendungen“ outlines up-to-date topics of material science and engineering, surface engineering as well as resulting industrial applications. Mainly, recent research results of the departments Composite Materials and Surface Engineering/Functional Materials of the Institute of Material Science and Engineering of Chemnitz University of Technology are presented. In addition, the book series includes the proceedings of the annual in-house conference “Werkstofftechnisches Kolloquium”. The separate volumes concentrate on the following fields of scientific research: Galvanised Coating, Anodising, Thermal and Cold Spraying, Soldering and Brazing, Composite Materials, Composite Structures, Thermal and Thermomechanical Treatment, CVD and PVD Coating, Simulation of Coating Processes, Organic coating (Powder Coating, Varnishing, Sol-Gel Processes), Electrochemical Structuring and Mechanical Material Properties.

This thesis describes the syntheses, the crystal structures, and the physical properties of some new ternary and quaternary rare-earth coinage metal arsenides, selenides and oxides. All ternary compounds LnCu1+[delta]As2 (Ln = Y, La, Ce, Nd, Sm, Gd - Lu), LnAg1+[delta]As2 (Ln = La - Nd, Sm), and LnAuAs2 (Ln = Pr, Sm, Gd, Tb) adopt structures closely related to the HfCuSi2 type consisting of PbO-like layers of T and As atoms, square layers of As atoms and layers of Ln atoms separating the former two building units. All copper compounds of this series contain regular square nets of As atoms, whereas the respective nets in the silver and gold compounds are distorted. Two principally different patterns of distortion have been found: [As] zigzag chains in LnAgAs2 (Ln = Pr, Nd, Sm) and [As] cis-trans chains in LaAg1.01(1)As2, CeAgAs2, and PrAuAs2. Both patterns can undergo a further reduction of symmetry to end up with a pattern of As2 dumb-bells as can be seen in SmAuAs2, GdAuAs2, and TbAuAs2. Stoichiometric samples LnCuAs2 (Ln = Y, Pr, Nd, Sm, Gd, Tb, Dy, Er) have been used for measurements of the conductivity [rho], magnetic susceptibility [chi] and heat capacity cp. All investigated compounds exhibit metallic conductivity and, except for Y, order antiferromagnetically at temperatures below 10 K. In contrast to LnCuAs2 compounds, the silver compound CeAgAs2 shows semiconducting behavior throughout the temperature range from 4 to 350 K, whereas in PrAgAs2 metallic conductivity is preserved. The crystal structure of Sm2CuAs3O contains two different PbO-like layers formed either by Sm and O or Cu and As atoms. Both PbO-type layers are separated by sheets of Sm and distorted square nets of As atoms. The As atoms are arranged in planar zigzag chains, like those found in NdAgAs2. Sm2CuAs3O is thus the first quaternary rare-earth pnictide oxide with a distorted As net. The quaternary potassium rare-earth copper selenides KGd2CuSe4, KLn2Cu3Se5 (Ln = Ho, Er, Tm), and K2Ln4Cu4Se9 (Ln = Dy, Y) extend three series of previously described sulfide and selenide compounds. All three series adopt a three-dimensional tunnel structure built up by [LnSe6] octahedra and [CuSe4] tetrahedra. The K atoms reside in the tunnels with a bicapped trigonal prismatic coordination of eight Se atoms for KGd2CuSe4 and KLn2Cu3Se5 (Ln = Ho, Er, Tm), while for K2Ln4Cu4Se9 (Ln = Dy, Y), the K atoms are coordinated by seven Se atoms in monocappped trigonal prisms.

Werkstoffe auf Basis duroplastischer Harze besitzen exzellente Gebrauchseigenschaften für viele Bereiche des industriellen Einsatzes. Vor allem durch die Spritzgießverarbeitung rieselfähiger duroplastischer Formmassen entsteht ein hohes Substitutionspotential gegenüber Bauteilen aus Metallen oder Hochleistungsthermoplasten. Jedoch führen bestehende Erkenntnisdefizite im Prozessverständnis zu Ressentiments hinsichtlich des Einsatzes duroplastischer Werkstoffe. Ziel der Untersuchungen dieser Arbeit war die Ermittlung und Analyse der prozessinduzierten Werkstoffstruktur von spritzgegossenen technischen Phenolharzformteilen. Dabei wurden zum einen das Füllen der Werkzeugkavität und die sich ausbildende Faserorientierung untersucht und zum anderen die sich während des Temperns verändernde chemische Struktur. Anhand von Platten- sowie Zugprüfkörpern wurden sowohl beim Spritzgießen als auch beim Tempern Parametervariationen durchgeführt und die jeweils resultierende Werkstoffstruktur sowie deren Einfluss auf die Formteileigenschaften analysiert. Die Ergebnisse zeigen, dass die Strömungsverhältnisse während der Werkzeugfüllung stark von den Prozessparametern und der Werkstoffzusammensetzung abhängig sind. Dadurch wird auch die Faserorientierung beeinflusst, sodass im Formteil lokal und richtungsabhängig stark unterschiedliche Eigenschaften entstehen können. Darüber hinaus konnte anhand einer alternativen Tempermethode geklärt werden, warum es beim Tempern zu einem Abfall der mechanischen Eigenschaften kommt und eine Möglichkeit zur Vermeidung gegeben werden. / Because of their excellent properties, thermosets can be applied in a bright range of industrial applications. Especially thermoset molding compounds can be processed highly effective by injection molding, which enables them to substitute metals or high performance thermoplastics. But there is a deficit in process understanding, which limits the industrial application. The objective of this work is the investigation and analysis of the process induced material structure of injection molded technical phenolic components. Therefor the filling of the cavity with the resulting fiber orientation and the chemical processes during post-curing were examined. A parameter variation with injection molded plate and tensile specimens were done and the resulting material structure and the effect on the component properties were analyzed. The results show a big influence of the process parameter and the material on the flow condition during the filling of the cavity. Thereby also the fiber orientation is affected. This leads to process-depending local and direction-depending properties. In addition, this work shows an alternative method for post-curing to avoid the decrease of mechanical properties.