Water hammer represents a complex hydraulic phenomenon with significant consequences on the proper functioning and safety of operation for pipe and conduit systems. The complexity and intricate physics of water hammer translated into significant difficulties associated firstly, with finding a proper solution for understanding the mechanism of its occurrence and, secondly, relating to proposing technically and economically viable design methods and devices that would help reduce and mitigate water hammer effects. In this context, the present thesis deals with the numerical modeling of the transient behaviour of water pipe segments. Following an extensive literature review of the state-of-the-art on the water hammer mechanisms and past work on experimental, analytical and numerical analysis of this phenomenon, a three dimensional numerical model of the water hammer in a pipe which considers the fluid-structure interaction (FSI) is developed using a Finite Element Method – Finite Volume Method (FEM-FVM) technique. Structural and fluid computational results based on rapid and slow gate closure scenarios are compared with existing closed-form solutions of the water hammer. A parametric study is also performed on a simply supported pipe segment to determine the influence of various design parameter. A systematic sensitivity analysis was conducted and a ranking mechanism was established for the importance of each parameter on the fluid fields and structural response. A first comparative analysis is conducted on horizontally and vertically bent elevated pipe segments to quantify the influence of the bend angle on the results. A second comparative analysis is performed on a horizontally bent segment buried in soil to determine the influence of the pipe interaction with the soil on the response. It is observed that the thickness, span, initial velocity and bend angle had a significant impact on the pressure and structural response. The presence of soil was observed to have a significant benefit in decreasing the von-Mises stresses.

Water hammer represents a complex hydraulic phenomenon with significant consequences on the proper functioning and safety of operation for pipe and conduit systems. The complexity and intricate physics of water hammer translated into significant difficulties associated firstly, with finding a proper solution for understanding the mechanism of its occurrence and, secondly, relating to proposing technically and economically viable design methods and devices that would help reduce and mitigate water hammer effects. In this context, the present thesis deals with the numerical modeling of the transient behaviour of water pipe segments. Following an extensive literature review of the state-of-the-art on the water hammer mechanisms and past work on experimental, analytical and numerical analysis of this phenomenon, a three dimensional numerical model of the water hammer in a pipe which considers the fluid-structure interaction (FSI) is developed using a Finite Element Method – Finite Volume Method (FEM-FVM) technique. Structural and fluid computational results based on rapid and slow gate closure scenarios are compared with existing closed-form solutions of the water hammer. A parametric study is also performed on a simply supported pipe segment to determine the influence of various design parameter. A systematic sensitivity analysis was conducted and a ranking mechanism was established for the importance of each parameter on the fluid fields and structural response. A first comparative analysis is conducted on horizontally and vertically bent elevated pipe segments to quantify the influence of the bend angle on the results. A second comparative analysis is performed on a horizontally bent segment buried in soil to determine the influence of the pipe interaction with the soil on the response. It is observed that the thickness, span, initial velocity and bend angle had a significant impact on the pressure and structural response. The presence of soil was observed to have a significant benefit in decreasing the von-Mises stresses.

O objetivo deste trabalho foi o analisar o impacto da resolução dos conjuntos de dados topográficos nas simulações das concentrações de dióxido de enxofre (SO2) emitido por uma fonte localizada no Sul do Brasil. Para isso foram realizadas duas simulações aplicando o modelo regional Weather Research and Forecasting acoplado com a química (WRF/Chem), configurado com duas representações do terreno de diferentes resoluções espaciais. Foram utilizados os dados padrão do modelo com melhor resolução, Global 30 Arc-Second Elevation (GTOPO), com aproximadamente 1 km, e inserido no bancos de dados do modelo as informações de terreno em alta-resolução do Radar Shuttle Topography Mission (SRTM) (30 metros). Para as emissões antrópicas do modelo foi elaborado um programa capaz inserir os volumes do poluente SO2 de forma horária expelidos pela chaminé, de acordo com as taxas de emissão medidos diretamente na fonte. O programa representou a emissão do poluente no ponto de grade correspondente a localização e a altura acima da superfície da chaminé da fonte. As simulações foram configuradas com os seguintes esquemas de parametrização: para microfísica de nuvens foi utilizado o Goddard Cumulus Ensemble; os esquemas de radiação de onda longa e curta foram o Goddard e o Rapid Radiative Transfer Model para modelos de circulação geral da atmosfera (MCGA); para a parametrização de cumulus o esquema utilizado foi o Grell 3D Ensemble Scheme; e para os esquemas de camada superficial e camada limite planetária foram utilizados os da teoria da similaridade do Fifth-Generation National Center for Atmospheric Research/Penn State Mesoscale Model (MM5) e o Yonsey University, respectivamente. A escolha desta combinação de esquemas foi definida a partir de um estudo inicial da sensibilidade do modelo à mudança das parametrizações. Os resultados dos experimentos numéricos alterando a topografia foram validados a partir dos dados de monitoramento das estações meteorológica e da qualidade do ar pertencentes à empresa responsável pelo empreendimento associado à fonte. Foi observado que as simulações com os dados SRTM expressaram o terreno da região de estudo mais próximo à realidade, representando o aspecto heterogêneo do relevo, ressaltando os picos e os vales. Os resultados das validações meteorológicas utilizando os dados topográficos indicaram melhoras nas simulações das variáveis meteorológicas: temperatura, umidade relativa, velocidade do vento e precipitação. Os experimentos com os dados topográficos GTOPO e SRTM no modelo WRF/Chem, configurado com as emissões horárias da fonte de Candiota, reproduziram o comportamento dos ventos para transporte de SO2 até as estações de monitoramento conforme os dados observados. Porém foram identificados padrões diferentes na representação das concentrações do poluente entre as duas simulações do modelo, associados aos escoamentos dos ventos representados pelos experimentos. A resolução da topografia afetou na simulação de SO2 devido ao aumento da forçante superficial induzida pelo terreno. Este aumento na forçante, influenciou a advecção da pluma de SO2, resultando em diferentes padrões das concentrações de SO2 no ponto de grade correspondente às estações de monitoramento. Contudo, os resultados das simulações das concentrações de SO2, tanto de forma horária quanto na abordagem das médias diárias, não indicaram uma relação linear entre a utilização de dados em alta resolução e a melhora na representação do SO2 pelo modelo WRF/Chem. / The objective of this work was to analyze the impact of the higher resolution topographic data sets in the simulations of the Sulfur dioxide (SO2) concentrations emitted by a source located Southern Brazil. Two simulations were performed applying the Weather Research and Forecasting model coupled with Chemistry – WRF/Chem, configured with two representations of the terrain with different spatial resolutions. The standard data of the model with the best resolution (approximately 1 km), Global 30 Arc-Second Elevation (GTOPO), and was inserted in the model databases the high-resolution (30 meters) terrain information of the Radar Shuttle Topography Mission (SRTM). For the anthropic emissions of the model, a program was developed capable of inserting the hourly SO2 pollutant volumes expelled by the chimney, according to the emission rates measured directly at the source. The program inserted these emissions into the grid point corresponding to the location and height above the surface of the emission source. The simulations were configured with the following parameterization schemes: for cloud microphysics Goddard Cumulus Ensemble; for the long and short wave radiation treatment it was used the Goddard and the Rapid Radiative Transfer Model for general circulation models; for the cumulus parameterization the scheme it was used the Grell 3D Ensemble Scheme; and for the surface layer and planetary boundary layer schemes, the similarity theory of the Fifth-Generation National Center for Atmospheric Research/Penn State Mesoscale Model (MM5) and the Yonsey University, respectively. The choice of this combination of schemes was defined from an initial study of the sensitivity of the model to the change of parametrizations. The results of the numerical experiments altering the topography were validated from the monitoring data of the meteorological stations and the air quality belonging to the company responsible for the enterprise associated to the source. It was observed that the simulations with the SRTM data expressed the terrain of the region of study closest to reality, representing the heterogeneous aspect of the terrain, highlighting the peaks and valleys. The results of the meteorological validations using the new topographic data indicated an improvement in the simulations of the meteorological variables: temperature, relative humidity, wind speed and precipitation. The experiments with the GTOPO and SRTM topographic data in WRF/Chem model, configured with the hourly emissions of the Candiota source, reproduced the winds behavior that transported the SO2 to the monitoring stations according to the observed data. However, different patterns were identified in the pollutant concentrations between the two simulations of the model, associated to the wind flows represented by the experiments. The topography resolution affected in the simulation of SO2 due to the increase of the surface forcing induced by the terrain. This increase in the forcing influenced the advection of the SO2 plume, resulting in different patterns of SO2 concentrations at the grid point corresponding to the monitoring stations. However, the results of simulations of SO2 concentrations, both hourly and in the approach of daily averages, did not indicate a linear relationship between the use of high resolution data and the improvement in the representation of SO2 by WRF/Chem model.

O objetivo deste trabalho foi o analisar o impacto da resolução dos conjuntos de dados topográficos nas simulações das concentrações de dióxido de enxofre (SO2) emitido por uma fonte localizada no Sul do Brasil. Para isso foram realizadas duas simulações aplicando o modelo regional Weather Research and Forecasting acoplado com a química (WRF/Chem), configurado com duas representações do terreno de diferentes resoluções espaciais. Foram utilizados os dados padrão do modelo com melhor resolução, Global 30 Arc-Second Elevation (GTOPO), com aproximadamente 1 km, e inserido no bancos de dados do modelo as informações de terreno em alta-resolução do Radar Shuttle Topography Mission (SRTM) (30 metros). Para as emissões antrópicas do modelo foi elaborado um programa capaz inserir os volumes do poluente SO2 de forma horária expelidos pela chaminé, de acordo com as taxas de emissão medidos diretamente na fonte. O programa representou a emissão do poluente no ponto de grade correspondente a localização e a altura acima da superfície da chaminé da fonte. As simulações foram configuradas com os seguintes esquemas de parametrização: para microfísica de nuvens foi utilizado o Goddard Cumulus Ensemble; os esquemas de radiação de onda longa e curta foram o Goddard e o Rapid Radiative Transfer Model para modelos de circulação geral da atmosfera (MCGA); para a parametrização de cumulus o esquema utilizado foi o Grell 3D Ensemble Scheme; e para os esquemas de camada superficial e camada limite planetária foram utilizados os da teoria da similaridade do Fifth-Generation National Center for Atmospheric Research/Penn State Mesoscale Model (MM5) e o Yonsey University, respectivamente. A escolha desta combinação de esquemas foi definida a partir de um estudo inicial da sensibilidade do modelo à mudança das parametrizações. Os resultados dos experimentos numéricos alterando a topografia foram validados a partir dos dados de monitoramento das estações meteorológica e da qualidade do ar pertencentes à empresa responsável pelo empreendimento associado à fonte. Foi observado que as simulações com os dados SRTM expressaram o terreno da região de estudo mais próximo à realidade, representando o aspecto heterogêneo do relevo, ressaltando os picos e os vales. Os resultados das validações meteorológicas utilizando os dados topográficos indicaram melhoras nas simulações das variáveis meteorológicas: temperatura, umidade relativa, velocidade do vento e precipitação. Os experimentos com os dados topográficos GTOPO e SRTM no modelo WRF/Chem, configurado com as emissões horárias da fonte de Candiota, reproduziram o comportamento dos ventos para transporte de SO2 até as estações de monitoramento conforme os dados observados. Porém foram identificados padrões diferentes na representação das concentrações do poluente entre as duas simulações do modelo, associados aos escoamentos dos ventos representados pelos experimentos. A resolução da topografia afetou na simulação de SO2 devido ao aumento da forçante superficial induzida pelo terreno. Este aumento na forçante, influenciou a advecção da pluma de SO2, resultando em diferentes padrões das concentrações de SO2 no ponto de grade correspondente às estações de monitoramento. Contudo, os resultados das simulações das concentrações de SO2, tanto de forma horária quanto na abordagem das médias diárias, não indicaram uma relação linear entre a utilização de dados em alta resolução e a melhora na representação do SO2 pelo modelo WRF/Chem. / The objective of this work was to analyze the impact of the higher resolution topographic data sets in the simulations of the Sulfur dioxide (SO2) concentrations emitted by a source located Southern Brazil. Two simulations were performed applying the Weather Research and Forecasting model coupled with Chemistry – WRF/Chem, configured with two representations of the terrain with different spatial resolutions. The standard data of the model with the best resolution (approximately 1 km), Global 30 Arc-Second Elevation (GTOPO), and was inserted in the model databases the high-resolution (30 meters) terrain information of the Radar Shuttle Topography Mission (SRTM). For the anthropic emissions of the model, a program was developed capable of inserting the hourly SO2 pollutant volumes expelled by the chimney, according to the emission rates measured directly at the source. The program inserted these emissions into the grid point corresponding to the location and height above the surface of the emission source. The simulations were configured with the following parameterization schemes: for cloud microphysics Goddard Cumulus Ensemble; for the long and short wave radiation treatment it was used the Goddard and the Rapid Radiative Transfer Model for general circulation models; for the cumulus parameterization the scheme it was used the Grell 3D Ensemble Scheme; and for the surface layer and planetary boundary layer schemes, the similarity theory of the Fifth-Generation National Center for Atmospheric Research/Penn State Mesoscale Model (MM5) and the Yonsey University, respectively. The choice of this combination of schemes was defined from an initial study of the sensitivity of the model to the change of parametrizations. The results of the numerical experiments altering the topography were validated from the monitoring data of the meteorological stations and the air quality belonging to the company responsible for the enterprise associated to the source. It was observed that the simulations with the SRTM data expressed the terrain of the region of study closest to reality, representing the heterogeneous aspect of the terrain, highlighting the peaks and valleys. The results of the meteorological validations using the new topographic data indicated an improvement in the simulations of the meteorological variables: temperature, relative humidity, wind speed and precipitation. The experiments with the GTOPO and SRTM topographic data in WRF/Chem model, configured with the hourly emissions of the Candiota source, reproduced the winds behavior that transported the SO2 to the monitoring stations according to the observed data. However, different patterns were identified in the pollutant concentrations between the two simulations of the model, associated to the wind flows represented by the experiments. The topography resolution affected in the simulation of SO2 due to the increase of the surface forcing induced by the terrain. This increase in the forcing influenced the advection of the SO2 plume, resulting in different patterns of SO2 concentrations at the grid point corresponding to the monitoring stations. However, the results of simulations of SO2 concentrations, both hourly and in the approach of daily averages, did not indicate a linear relationship between the use of high resolution data and the improvement in the representation of SO2 by WRF/Chem model.

O objetivo deste trabalho foi o analisar o impacto da resolução dos conjuntos de dados topográficos nas simulações das concentrações de dióxido de enxofre (SO2) emitido por uma fonte localizada no Sul do Brasil. Para isso foram realizadas duas simulações aplicando o modelo regional Weather Research and Forecasting acoplado com a química (WRF/Chem), configurado com duas representações do terreno de diferentes resoluções espaciais. Foram utilizados os dados padrão do modelo com melhor resolução, Global 30 Arc-Second Elevation (GTOPO), com aproximadamente 1 km, e inserido no bancos de dados do modelo as informações de terreno em alta-resolução do Radar Shuttle Topography Mission (SRTM) (30 metros). Para as emissões antrópicas do modelo foi elaborado um programa capaz inserir os volumes do poluente SO2 de forma horária expelidos pela chaminé, de acordo com as taxas de emissão medidos diretamente na fonte. O programa representou a emissão do poluente no ponto de grade correspondente a localização e a altura acima da superfície da chaminé da fonte. As simulações foram configuradas com os seguintes esquemas de parametrização: para microfísica de nuvens foi utilizado o Goddard Cumulus Ensemble; os esquemas de radiação de onda longa e curta foram o Goddard e o Rapid Radiative Transfer Model para modelos de circulação geral da atmosfera (MCGA); para a parametrização de cumulus o esquema utilizado foi o Grell 3D Ensemble Scheme; e para os esquemas de camada superficial e camada limite planetária foram utilizados os da teoria da similaridade do Fifth-Generation National Center for Atmospheric Research/Penn State Mesoscale Model (MM5) e o Yonsey University, respectivamente. A escolha desta combinação de esquemas foi definida a partir de um estudo inicial da sensibilidade do modelo à mudança das parametrizações. Os resultados dos experimentos numéricos alterando a topografia foram validados a partir dos dados de monitoramento das estações meteorológica e da qualidade do ar pertencentes à empresa responsável pelo empreendimento associado à fonte. Foi observado que as simulações com os dados SRTM expressaram o terreno da região de estudo mais próximo à realidade, representando o aspecto heterogêneo do relevo, ressaltando os picos e os vales. Os resultados das validações meteorológicas utilizando os dados topográficos indicaram melhoras nas simulações das variáveis meteorológicas: temperatura, umidade relativa, velocidade do vento e precipitação. Os experimentos com os dados topográficos GTOPO e SRTM no modelo WRF/Chem, configurado com as emissões horárias da fonte de Candiota, reproduziram o comportamento dos ventos para transporte de SO2 até as estações de monitoramento conforme os dados observados. Porém foram identificados padrões diferentes na representação das concentrações do poluente entre as duas simulações do modelo, associados aos escoamentos dos ventos representados pelos experimentos. A resolução da topografia afetou na simulação de SO2 devido ao aumento da forçante superficial induzida pelo terreno. Este aumento na forçante, influenciou a advecção da pluma de SO2, resultando em diferentes padrões das concentrações de SO2 no ponto de grade correspondente às estações de monitoramento. Contudo, os resultados das simulações das concentrações de SO2, tanto de forma horária quanto na abordagem das médias diárias, não indicaram uma relação linear entre a utilização de dados em alta resolução e a melhora na representação do SO2 pelo modelo WRF/Chem. / The objective of this work was to analyze the impact of the higher resolution topographic data sets in the simulations of the Sulfur dioxide (SO2) concentrations emitted by a source located Southern Brazil. Two simulations were performed applying the Weather Research and Forecasting model coupled with Chemistry – WRF/Chem, configured with two representations of the terrain with different spatial resolutions. The standard data of the model with the best resolution (approximately 1 km), Global 30 Arc-Second Elevation (GTOPO), and was inserted in the model databases the high-resolution (30 meters) terrain information of the Radar Shuttle Topography Mission (SRTM). For the anthropic emissions of the model, a program was developed capable of inserting the hourly SO2 pollutant volumes expelled by the chimney, according to the emission rates measured directly at the source. The program inserted these emissions into the grid point corresponding to the location and height above the surface of the emission source. The simulations were configured with the following parameterization schemes: for cloud microphysics Goddard Cumulus Ensemble; for the long and short wave radiation treatment it was used the Goddard and the Rapid Radiative Transfer Model for general circulation models; for the cumulus parameterization the scheme it was used the Grell 3D Ensemble Scheme; and for the surface layer and planetary boundary layer schemes, the similarity theory of the Fifth-Generation National Center for Atmospheric Research/Penn State Mesoscale Model (MM5) and the Yonsey University, respectively. The choice of this combination of schemes was defined from an initial study of the sensitivity of the model to the change of parametrizations. The results of the numerical experiments altering the topography were validated from the monitoring data of the meteorological stations and the air quality belonging to the company responsible for the enterprise associated to the source. It was observed that the simulations with the SRTM data expressed the terrain of the region of study closest to reality, representing the heterogeneous aspect of the terrain, highlighting the peaks and valleys. The results of the meteorological validations using the new topographic data indicated an improvement in the simulations of the meteorological variables: temperature, relative humidity, wind speed and precipitation. The experiments with the GTOPO and SRTM topographic data in WRF/Chem model, configured with the hourly emissions of the Candiota source, reproduced the winds behavior that transported the SO2 to the monitoring stations according to the observed data. However, different patterns were identified in the pollutant concentrations between the two simulations of the model, associated to the wind flows represented by the experiments. The topography resolution affected in the simulation of SO2 due to the increase of the surface forcing induced by the terrain. This increase in the forcing influenced the advection of the SO2 plume, resulting in different patterns of SO2 concentrations at the grid point corresponding to the monitoring stations. However, the results of simulations of SO2 concentrations, both hourly and in the approach of daily averages, did not indicate a linear relationship between the use of high resolution data and the improvement in the representation of SO2 by WRF/Chem model.

Die Modellierung von komplexen Systemen, wie dem Untergrund, ist ein Hilfsmittel zur Beschreibung der in der Realität ablaufenden Prozesse. Die Durchführung von Experimenten an einem Modell, um qualitative Aussagen über ein reales System zu erhalten, wird als Simulation bezeichnet. Dabei können vielfältige Modelle, wie z.B. physikalische und mathematische, zum Einsatz kommen. Die ungesättigte Bodenzone (vadose Zone) bezeichnet den Bereich zwischen der Landoberfläche und dem Grundwasserspiegel, innerhalb dessen der Wassergehalt geringer als bei Vollsättigung, und der Druck geringer als der Atmosphärendruck ist. Dieser Bodenbereich hat für die Landwirtschaft, Geobiologie, aerobe Abbauprozesse und Grundwasserneubildung eine große Bedeutung. Für die Nachbildung von Strömungs- und Stofftransportprozessen der ungesättigten Bodenzone existieren numerische Simulationsprogramme. Ziel der vorliegenden Arbeit ist eine umfangreiche Validierung des Programms PCSiWaPro® (entwickelt an der TU-Dresden, Institut für Abfallwirtschaft und Altlasten) für unterschiedliche Anwendungsfälle. Ein weiteres Ziel der Arbeit besteht in der Untersuchung der Anwendbarkeit des aktuellen Stands des Simulationsprogramms PCSiWaPro® auf unterschiedliche Praxisfälle bei Kombination der ungesättigten Bodenzone mit technischen Anlagen. Vier Anwendungsfälle mit unterschiedlichen Zielen wurden dafür im Rahmen dieser Arbeit untersucht: die Simulation von dezentraler Abwasserversickerung (Kleinkläranlage - KKA) anhand entsprechender Säulen- und Feldversuche, die Berechnung der Grundwasserneubildung am Beispiel von Lysimetern, der Wasserhaushalt von Erddämmen und die Modellierung von Deponieabdeckungssystemen. Die Anwendungsfälle unterscheiden sich durch den Zweck der Simulation, die Geometrie, die Größe, die festgelegten Anfangs- und Randbedingungen, die Simulationszeit, die Materialien, das Koordinatensystem sowie die Ein- und Ausgabewerte. Die Simulationsergebnisse konnten eindeutig zeigen, dass das Programm PCSiWaPro® für alle im Rahmen der vorliegenden Arbeit untersuchten Fälle, mit unterschiedlichen Strömungsregimen, Stofftransport-Parametern, Randbedingungen, Koordinatensystemen sowie Raum- und Zeitdiskretisierungen anwendbar ist. Die Simulationsergebnisse der Säulenversuche am Beispiel dezentraler Abwasserversickerung zeigten eine sehr gute Übereinstimmung zwischen gemessenen und mittels PCSiWa-Pro® berechneten Werten des Wasser- und Stoffhaushaltes (Druckhöhe, Abfluss und Stoff-konzentration) der untersuchten Bodentypen B3 (schwachschluffiger Sand), B4 (Grobsand) und B5 (mittelschluffiger Sand). Die Wurzel des mittleren quadratischen Fehlers (RMSE) betrug für die Berechnung der Druckhöhe 1,84 cm bei B5, 3,61 cm bei B3 und 1,27 cm bei B4. Die relative Abweichung betrug für die Berechnung der Druckhöhe 2,19 % bei B5, 1,3 % bei B3 und ca. 5,3 % bei B4. Die Durchführung der Sensitivitätsanalyse der für die Modellierung relevanten Parameter zeigte eine sehr hohe Sensitivität der VAN GENUCHTEN-Parameter und der gesättigten hydraulischen Leitfähigkeit des Bodens. Darüber hinaus führten die Parameter nach DIN 4220 und die mithilfe von Pedotransferfunktionen aus Siebanalysen genommenen Parameter zu unterschiedlichen Ergebnissen. Im Rahmen des am Institut für Abfallwirtschaft und Altlasten durchgeführten Projektes EGSIM wurden die Programme SENSIT und ISSOP (in Zusammenarbeit mit DUALIS GmbH IT Solution) entwickelt und zur Parameteridentifikation/-kalibrierung benutzt. Die im Rahmen dieser Arbeit erzielten Ergebnisse konnten nachweisen, unter welchen Bedingungen eine Nachklärung des vollbiologisch gereinigten Abwassers innerhalb der Bodenzone möglich ist, so dass am Ort der Beurteilung (Grundwasseroberfläche) kein unzulässiger Schadstoffeintrag erfolgt. In Bezug auf die KKA-Feldmodelle ist die Anwendung des rotationssymmetrischen Koordinatensystems als Voraussetzung der Realität besser zu entsprechen und nicht als Option zu betrachten. Darüber hinaus wurden anhand der Feldmodelle verschiedene Szenarien mit kontinuierlicher und diskontinuierlicher Versickerung sowie zwei unterschiedlich großen Einleitflächen durchgeführt. Das Programm PCSiWaPro® ist sowohl für ungesättigte als auch für variabel-gesättigte porösen Medien anwendbar. Dies wurde im Rahmen der Simulation des Wasserhaushaltes eines Erddamms nachgewiesen. Die durchschnittliche relative Abweichung zwischen gemessenen und mittels PCSiWaPro® berechneten Wasserständen des entsprechenden Beobachtungspunkts im untersuchten Dammkörper lag bei 0,08 % (entspricht 5,8 cm bei einer Müchtigkeit von ca. 70 m) und das Bestimmtheitsmaß (R2) betrug 0,987. Die Simulation des Wasserhaushaltes unterschiedlicher Deponieabdichtungssystemen mittels PCSiWaPro® zeigte im Allgemeinen ein funktionierendes Ableiten des auf Deponien anfallenden Regenwassers (auch bei Starkregenereignissen). Darüber hinaus haben die durchgeführten Bewuchs-Modelle nachweisen können, dass die Vegetation der Deponieoberflächen den Wassergehalt, durch Pflanzenwurzelentzug bzw. Evapotranspiration, reduzieren können. Die Simulationsergebnisse der durchgeführten Szenarien des Wasserhaushaltes von Lysimetern zur prognostischen Berechnung der Grundwasserneubildung mittels PCSiWaPro® konnten nachweisen, dass das Programm für die Berechnung der Grundwasserneubildungsrate für diesen Zweck anwendbar ist. Die relativen Abweichungen der be-rechneten von den gemessenen Grundwasserneubildungsraten sind auf die verwendeten Materialparameter sowie auf Vernachlässigung der möglicherweise in Lysimetern sich befin-denden Makroporen (duale Porosität) zurückzuführen. / The modelling of complex systems such as the underground is a means to describe the processes occurring in the reality. The conducting of experiments on a model to obtain qualitative evidence about a real system is referred to as a simulation. Thereby, various models (e.g. physical and mathematical models) can be used. The unsaturated zone (vadose zone) is the region between the land surface and the water table, in which the water content is less than full saturation, and the pressure is lower than the atmospheric pressure. The unsaturated zone is very significant for agriculture, geobiology, aerobic degradation processes and groundwater recharge. The processes of water flow and solute transport in the unsaturated zone can be described by means of numerical simulation programs. The aim of the present work is a comprehensive validation of the simulation program PCSiWaPro® (developed at the TU-Dresden, Institute of Waste Management and Contaminated Site Treatment) for different applications. Another aim of this work is to investigate the applicability of the current version of PCSiWaPro® for different cases of a combination between the unsaturated zone and technical facilities. Four application cases with different objectives were investigated within the present work, which are: the simulation of decentralized wastewater infiltration with corresponding column and field experiments, the computation of groundwater recharge by means of lysimeters, the water balance of earth dams and the modelling of landfill covering systems. The application cases differ from each other by the objective of the simulation, the geometry, the size, the specified initial and boundary conditions, the simulation time, the applied materials, the coordinate system, the input and output data. The simulation results clearly showed that PCSiWaPro® is applicable for all investigated cases under consideration of different flow and solute transport regimes, parameters, boundary conditions, spatial and temporal discretization, and coordinate systems. The simulation results of the experimental soil columns for the decentralized treated wastewater infiltration case showed a very good agreement between measured and computed values of water and solute balance (pressure head, flow and solute concentration) of the investigated soil types B3 (slightly silty sand), B4 (coarse sand / gravel) and B5 (medium silty sand). The root of the mean squared error (RMSE) for the computation of the pressure head was 1,84 cm at B5, 3,61 cm at B3 and 1,27 cm at B4. The relative deviation in case of pressure head computation was 2,19 % at B5, 1,3 % at B3 and 5,3 % at B4. The implementation of the sensitivity analysis of the relevant parameters for the modelling showed a very high sensitivity of the VAN GENUCHTEN parameters and the saturated hydraulic conductivity of the soil. Moreover, the parameters according to DIN 4220 led to different results than the estimated ones according to pedotransfer methods based on sieve analysis. Within the project EGSIM, which was carried out at the Institute for waste management and contaminated sites treatment in collaboration with DUALIS GmbH IT Solution, the programs SENSIT and ISSOP were developed and used for parameter identification/ calibration. The results obtained in this Work showed under which conditions is a secondary treatment of full biologically treated wastewater in the soil possible, so that no unallowable pollutants entry in the groundwater occurs. With regard to the field models of this application the implementation of the rotationally symmetric coordinate system should be considered as a condition and not as an option for a better corresponding to the reality. Furthermore, different scenarios of the field models were carried out with continuous and discontinuous infiltration, as well as under different initiation areas. PCSiWaPro® could be applied for both unsaturated and variably-saturated porous media. This could be proven by the simulation of the water balance in an earth dam. The average relative deviation between measured and simulated water levels of the corresponding observation point in the investigated dam embankment was 0,08 % (corresponding to 5,8 cm at 70 m thickness) and the coefficient of determination (R2) was 0,987. In general, the simulation of the water balance using PCSiWaPro® of different landfill covering systems showed a successful draining of the falling rainwater (even under heavy rainfall). In addition, the implemented vegetation models have proven that the vegetation of the landfill surface can reduce the water content in the landfill by evapotranspiration and water uptake by roots. The water balance simulation results of the scenarios for the computation of groundwater recharge by means of lysimeters showed that the program is applicable for this case. The relative deviation of the simulated from the measured groundwater recharge rates occur due to the implemented material parameters as well as to the neglect of macro pores effects (dual porosity).

Die Modellierung von komplexen Systemen, wie dem Untergrund, ist ein Hilfsmittel zur Beschreibung der in der Realität ablaufenden Prozesse. Die Durchführung von Experimenten an einem Modell, um qualitative Aussagen über ein reales System zu erhalten, wird als Simulation bezeichnet. Dabei können vielfältige Modelle, wie z.B. physikalische und mathematische, zum Einsatz kommen. Die ungesättigte Bodenzone (vadose Zone) bezeichnet den Bereich zwischen der Landoberfläche und dem Grundwasserspiegel, innerhalb dessen der Wassergehalt geringer als bei Vollsättigung, und der Druck geringer als der Atmosphärendruck ist. Dieser Bodenbereich hat für die Landwirtschaft, Geobiologie, aerobe Abbauprozesse und Grundwasserneubildung eine große Bedeutung. Für die Nachbildung von Strömungs- und Stofftransportprozessen der ungesättigten Bodenzone existieren numerische Simulationsprogramme. Ziel der vorliegenden Arbeit ist eine umfangreiche Validierung des Programms PCSiWaPro® (entwickelt an der TU-Dresden, Institut für Abfallwirtschaft und Altlasten) für unterschiedliche Anwendungsfälle. Ein weiteres Ziel der Arbeit besteht in der Untersuchung der Anwendbarkeit des aktuellen Stands des Simulationsprogramms PCSiWaPro® auf unterschiedliche Praxisfälle bei Kombination der ungesättigten Bodenzone mit technischen Anlagen. Vier Anwendungsfälle mit unterschiedlichen Zielen wurden dafür im Rahmen dieser Arbeit untersucht: die Simulation von dezentraler Abwasserversickerung (Kleinkläranlage - KKA) anhand entsprechender Säulen- und Feldversuche, die Berechnung der Grundwasserneubildung am Beispiel von Lysimetern, der Wasserhaushalt von Erddämmen und die Modellierung von Deponieabdeckungssystemen. Die Anwendungsfälle unterscheiden sich durch den Zweck der Simulation, die Geometrie, die Größe, die festgelegten Anfangs- und Randbedingungen, die Simulationszeit, die Materialien, das Koordinatensystem sowie die Ein- und Ausgabewerte. Die Simulationsergebnisse konnten eindeutig zeigen, dass das Programm PCSiWaPro® für alle im Rahmen der vorliegenden Arbeit untersuchten Fälle, mit unterschiedlichen Strömungsregimen, Stofftransport-Parametern, Randbedingungen, Koordinatensystemen sowie Raum- und Zeitdiskretisierungen anwendbar ist. Die Simulationsergebnisse der Säulenversuche am Beispiel dezentraler Abwasserversickerung zeigten eine sehr gute Übereinstimmung zwischen gemessenen und mittels PCSiWa-Pro® berechneten Werten des Wasser- und Stoffhaushaltes (Druckhöhe, Abfluss und Stoff-konzentration) der untersuchten Bodentypen B3 (schwachschluffiger Sand), B4 (Grobsand) und B5 (mittelschluffiger Sand). Die Wurzel des mittleren quadratischen Fehlers (RMSE) betrug für die Berechnung der Druckhöhe 1,84 cm bei B5, 3,61 cm bei B3 und 1,27 cm bei B4. Die relative Abweichung betrug für die Berechnung der Druckhöhe 2,19 % bei B5, 1,3 % bei B3 und ca. 5,3 % bei B4. Die Durchführung der Sensitivitätsanalyse der für die Modellierung relevanten Parameter zeigte eine sehr hohe Sensitivität der VAN GENUCHTEN-Parameter und der gesättigten hydraulischen Leitfähigkeit des Bodens. Darüber hinaus führten die Parameter nach DIN 4220 und die mithilfe von Pedotransferfunktionen aus Siebanalysen genommenen Parameter zu unterschiedlichen Ergebnissen. Im Rahmen des am Institut für Abfallwirtschaft und Altlasten durchgeführten Projektes EGSIM wurden die Programme SENSIT und ISSOP (in Zusammenarbeit mit DUALIS GmbH IT Solution) entwickelt und zur Parameteridentifikation/-kalibrierung benutzt. Die im Rahmen dieser Arbeit erzielten Ergebnisse konnten nachweisen, unter welchen Bedingungen eine Nachklärung des vollbiologisch gereinigten Abwassers innerhalb der Bodenzone möglich ist, so dass am Ort der Beurteilung (Grundwasseroberfläche) kein unzulässiger Schadstoffeintrag erfolgt. In Bezug auf die KKA-Feldmodelle ist die Anwendung des rotationssymmetrischen Koordinatensystems als Voraussetzung der Realität besser zu entsprechen und nicht als Option zu betrachten. Darüber hinaus wurden anhand der Feldmodelle verschiedene Szenarien mit kontinuierlicher und diskontinuierlicher Versickerung sowie zwei unterschiedlich großen Einleitflächen durchgeführt. Das Programm PCSiWaPro® ist sowohl für ungesättigte als auch für variabel-gesättigte porösen Medien anwendbar. Dies wurde im Rahmen der Simulation des Wasserhaushaltes eines Erddamms nachgewiesen. Die durchschnittliche relative Abweichung zwischen gemessenen und mittels PCSiWaPro® berechneten Wasserständen des entsprechenden Beobachtungspunkts im untersuchten Dammkörper lag bei 0,08 % (entspricht 5,8 cm bei einer Müchtigkeit von ca. 70 m) und das Bestimmtheitsmaß (R2) betrug 0,987. Die Simulation des Wasserhaushaltes unterschiedlicher Deponieabdichtungssystemen mittels PCSiWaPro® zeigte im Allgemeinen ein funktionierendes Ableiten des auf Deponien anfallenden Regenwassers (auch bei Starkregenereignissen). Darüber hinaus haben die durchgeführten Bewuchs-Modelle nachweisen können, dass die Vegetation der Deponieoberflächen den Wassergehalt, durch Pflanzenwurzelentzug bzw. Evapotranspiration, reduzieren können. Die Simulationsergebnisse der durchgeführten Szenarien des Wasserhaushaltes von Lysimetern zur prognostischen Berechnung der Grundwasserneubildung mittels PCSiWaPro® konnten nachweisen, dass das Programm für die Berechnung der Grundwasserneubildungsrate für diesen Zweck anwendbar ist. Die relativen Abweichungen der be-rechneten von den gemessenen Grundwasserneubildungsraten sind auf die verwendeten Materialparameter sowie auf Vernachlässigung der möglicherweise in Lysimetern sich befin-denden Makroporen (duale Porosität) zurückzuführen. / The modelling of complex systems such as the underground is a means to describe the processes occurring in the reality. The conducting of experiments on a model to obtain qualitative evidence about a real system is referred to as a simulation. Thereby, various models (e.g. physical and mathematical models) can be used. The unsaturated zone (vadose zone) is the region between the land surface and the water table, in which the water content is less than full saturation, and the pressure is lower than the atmospheric pressure. The unsaturated zone is very significant for agriculture, geobiology, aerobic degradation processes and groundwater recharge. The processes of water flow and solute transport in the unsaturated zone can be described by means of numerical simulation programs. The aim of the present work is a comprehensive validation of the simulation program PCSiWaPro® (developed at the TU-Dresden, Institute of Waste Management and Contaminated Site Treatment) for different applications. Another aim of this work is to investigate the applicability of the current version of PCSiWaPro® for different cases of a combination between the unsaturated zone and technical facilities. Four application cases with different objectives were investigated within the present work, which are: the simulation of decentralized wastewater infiltration with corresponding column and field experiments, the computation of groundwater recharge by means of lysimeters, the water balance of earth dams and the modelling of landfill covering systems. The application cases differ from each other by the objective of the simulation, the geometry, the size, the specified initial and boundary conditions, the simulation time, the applied materials, the coordinate system, the input and output data. The simulation results clearly showed that PCSiWaPro® is applicable for all investigated cases under consideration of different flow and solute transport regimes, parameters, boundary conditions, spatial and temporal discretization, and coordinate systems. The simulation results of the experimental soil columns for the decentralized treated wastewater infiltration case showed a very good agreement between measured and computed values of water and solute balance (pressure head, flow and solute concentration) of the investigated soil types B3 (slightly silty sand), B4 (coarse sand / gravel) and B5 (medium silty sand). The root of the mean squared error (RMSE) for the computation of the pressure head was 1,84 cm at B5, 3,61 cm at B3 and 1,27 cm at B4. The relative deviation in case of pressure head computation was 2,19 % at B5, 1,3 % at B3 and 5,3 % at B4. The implementation of the sensitivity analysis of the relevant parameters for the modelling showed a very high sensitivity of the VAN GENUCHTEN parameters and the saturated hydraulic conductivity of the soil. Moreover, the parameters according to DIN 4220 led to different results than the estimated ones according to pedotransfer methods based on sieve analysis. Within the project EGSIM, which was carried out at the Institute for waste management and contaminated sites treatment in collaboration with DUALIS GmbH IT Solution, the programs SENSIT and ISSOP were developed and used for parameter identification/ calibration. The results obtained in this Work showed under which conditions is a secondary treatment of full biologically treated wastewater in the soil possible, so that no unallowable pollutants entry in the groundwater occurs. With regard to the field models of this application the implementation of the rotationally symmetric coordinate system should be considered as a condition and not as an option for a better corresponding to the reality. Furthermore, different scenarios of the field models were carried out with continuous and discontinuous infiltration, as well as under different initiation areas. PCSiWaPro® could be applied for both unsaturated and variably-saturated porous media. This could be proven by the simulation of the water balance in an earth dam. The average relative deviation between measured and simulated water levels of the corresponding observation point in the investigated dam embankment was 0,08 % (corresponding to 5,8 cm at 70 m thickness) and the coefficient of determination (R2) was 0,987. In general, the simulation of the water balance using PCSiWaPro® of different landfill covering systems showed a successful draining of the falling rainwater (even under heavy rainfall). In addition, the implemented vegetation models have proven that the vegetation of the landfill surface can reduce the water content in the landfill by evapotranspiration and water uptake by roots. The water balance simulation results of the scenarios for the computation of groundwater recharge by means of lysimeters showed that the program is applicable for this case. The relative deviation of the simulated from the measured groundwater recharge rates occur due to the implemented material parameters as well as to the neglect of macro pores effects (dual porosity).

Made available in DSpace on 2014-07-29T15:03:35Z (GMT). No. of bitstreams: 1 Dissertacao Marcel Bruno.pdf: 3105575 bytes, checksum: 74afefa960dbfbf05720cec24a294ec9 (MD5) Previous issue date: 2006-09-28 / Neste trabalho são realizadas modelagens numéricas de vigas de concreto armado, reforçadas ou não com fibras metálicas. Este procedimento possibilita a análise de diversas variáveis em uma estrutura, com relativa economia. O objetivo é a determinação da energia de fratura de vigas de concreto armado empregando programas comerciais de elementos finitos. Tem ainda por escopo analisar o modo de fratura II, ocasionado por tensões cisalhantes. Para tanto foi utilizado o programa comercial DIANA. A validação das modelagens é realizada através da comparação dos resultados numéricos obtidos, com valores experimentais da literatura. Esta validação foi inicialmente realizada com vigas e por fim prismas de concreto com e sem a adição de fibras. A não-linearidade física do material foi levada em consideração. Foram utilizadas na modelagem das vigas as teorias de Rankine e Drucker Prager. No caso dos prismas utilizou-se de teorias da mecânica da fratura, onde ao invés de se utilizar as funções de plastificação do material (ou de ruptura dos mesmos), utilizar-se-ão modelos que retratam o surgimento e propagação das trincas. Os resultados obtidos foram satisfatórios fazendo-se uma comparação com os experimentais, porém a energia da fratura utilizada à tração foi tirada do CEB (1.990) para os casos das vigas de Lopes (2005) e a compressão obtida através do gráfico: tensão x deformação. Será ainda enfocado neste trabalho a retro-análise, pela combinação de variações no volume de fibras, procurando obter gráficos que retratem o comportamento tensão x volume de fibras para a resistência do concreto. Nota-se que a utilização de fibras metálicas diminui consideravelmente a armadura longitudinal para combater esforços de flexão. Porém, deve-se proceder outros ensaios de modo a obter o volume de fibra ideal a ser utilizado para diversas resistências do concreto.