This dissertation is composed of three parts of contributions. Systems of a fully penetrating pumping well in a confined aquifer near a fully penetrating stream with and without streambeds are discussed in Chapter II. In Chapter III, stream-aquifer systems with a fully penetrating pumping well in a confined aquifer between two parallel fully penetrating streams with and without streambeds are discussed. Stream depletion rates in Chapter II are solved using Laplace and Fourier transform methods, and stream depletion rates in Chapter III are solved using the potential method. Chapter II presents analytical solutions in the Laplace domain for general stream depletion rates caused by a pumping well and caused by stream stage fluctuations. For seasonal case, the stream stage is a function of time. For an individual flood wave, the stream stage is a function of time and distance along the stream. Semi-analytical solutions of seasonal stream depletion rates in time domain, using a cosine function to simulate stream stage fluctuations, are presented. The stream depletion rate caused by pumping is solved analytically, while the stream depletion rate caused by stream stage fluctuations is solved numerically. Various parameters affecting stream depletion rates, such as flood period and streambed, are analyzed. For a short-term case, the pumping rate is assumed to be constant, and a Gaussian function is used as an example of floodwaves. This part is solved using the same method as used in the seasonal case. Early time and late time approximations of the stream depletion rates are also presented. This approximation leads to an interesting finding that the stream depletion rate caused by seasonal stream stage fluctuations can be neglected if the stream aquifer system has a long time to equilibrate. In Chapter III, analytical stream depletion rates caused by a pumping well between two parallel streams with and without streambeds are presented. In this chapter, stream stage is assumed to be constant. Capture zone delineations were analyzed in the case without streambed. For the case with streambed, streambed conductance, which is an important factor controlling stream depletion, is analyzed. All solutions discussed in this dissertation can be used to predict stream depletion rates and to estimate parameters controlling stream depletion rates, which is crucial for water management. In addition to the stream depletion, the derived semi-analytical solutions in the Laplace-Fourier domain can also be used to predict drawdown in the aquifer near the stream. The derived solutions may also be used inversely to find the streambed and aquifer parameters if the stream stage fluctuation can be well described.

This dissertation is composed of three parts of contributions. Systems of a fully penetrating pumping well in a confined aquifer near a fully penetrating stream with and without streambeds are discussed in Chapter II. In Chapter III, stream-aquifer systems with a fully penetrating pumping well in a confined aquifer between two parallel fully penetrating streams with and without streambeds are discussed. Stream depletion rates in Chapter II are solved using Laplace and Fourier transform methods, and stream depletion rates in Chapter III are solved using the potential method. Chapter II presents analytical solutions in the Laplace domain for general stream depletion rates caused by a pumping well and caused by stream stage fluctuations. For seasonal case, the stream stage is a function of time. For an individual flood wave, the stream stage is a function of time and distance along the stream. Semi-analytical solutions of seasonal stream depletion rates in time domain, using a cosine function to simulate stream stage fluctuations, are presented. The stream depletion rate caused by pumping is solved analytically, while the stream depletion rate caused by stream stage fluctuations is solved numerically. Various parameters affecting stream depletion rates, such as flood period and streambed, are analyzed. For a short-term case, the pumping rate is assumed to be constant, and a Gaussian function is used as an example of floodwaves. This part is solved using the same method as used in the seasonal case. Early time and late time approximations of the stream depletion rates are also presented. This approximation leads to an interesting finding that the stream depletion rate caused by seasonal stream stage fluctuations can be neglected if the stream aquifer system has a long time to equilibrate. In Chapter III, analytical stream depletion rates caused by a pumping well between two parallel streams with and without streambeds are presented. In this chapter, stream stage is assumed to be constant. Capture zone delineations were analyzed in the case without streambed. For the case with streambed, streambed conductance, which is an important factor controlling stream depletion, is analyzed. All solutions discussed in this dissertation can be used to predict stream depletion rates and to estimate parameters controlling stream depletion rates, which is crucial for water management. In addition to the stream depletion, the derived semi-analytical solutions in the Laplace-Fourier domain can also be used to predict drawdown in the aquifer near the stream. The derived solutions may also be used inversely to find the streambed and aquifer parameters if the stream stage fluctuation can be well described.

Compte tenu de l’évolution démographique et climatique planétaire, la gestion de la ressource en eau constitue un défi majeur auquel la communauté internationale devra faire face au cours du XXIème siècle. A cet effet, l'identification de la continuité hydrique entre les eaux de surface et les eaux souterraines permet l'introduction de la notion de gestion intégrée de la ressource. L'application de ce principe de gestion au bassin de la Seine, à travers l'estimation des échanges nappe-rivière, est rendue possible par la mise en pratique du concept d'interface nappe-rivière emboitées au sein de travaux de modélisation. Pour cela une procédure de modélisation multi-échelles peut être mise en place. Elle vise à intégrer des informations locales au sein de modélisation à une échelle supérieure. Dans ce mémoire, une procédure de modélisation multi-échelles est mise en œuvre. Ce protocole de modélisation est initié par une estimation des flux d'eau régionaux au sein de l'hydrosystème Seine. La cohérence globale de ces flux est garantie par le développement d'une méthodologie de calibration de modèles couplés en deux étapes. Ensuite les informations locales, que sont les hétérogénéités de la plaine alluviale de la Bassée et de la représentation des interfaces nappe-rivière du réseau secondaire, sont intégrées au modèle régional par une procédure de modélisation emboitée et de changement d'échelle des paramètres hydrauliques. La mise en place de cette procédure a finalement permis l'estimation fine des échanges nappe-rivière sur la quasi-totalité (83%) du réseau hydrographique naturel du bassin de la Seine et ainsi de répondre aux recommandations de gestion intégrée de la ressource faites par la directive cadre sur l'eau. / Given the current climate and anthropogenic evolutions, water management becomes one of the greatest challenges of the 21st Century. For that purpose, by identifying hydraulic continuity between surface and subsurface water, the concept of integrated water management can be introduced. In this work this management concept is applied on the Seine basin by quantizing hydrological processes occuring at the nested stream-aquifer interface. The implementatin of the nested interface concept can bedone through multi-scale modeling. This modelling procedure, aimed at embody the local characteristics of the interfaces (such as structural or hydrodynamic heterogeneities) in large scale models. A multi-scale modelling procedures is applied to the regional Seine basin model (70000 km²) in order, to study the hydrodynamic behaviour of the Bassée alluvial plain, and to quantify the stream-aquifer exchanged fluxes at the basin scale. The modelling protocol is initiated with regionals fluxes estimation over Seine hydrosystem. Regional fluxes consistency are assured by a two-step calibration procedure of fully coupled models. Then, the local characteristics of the Bassée alluvial plain, are implemented in the regional model by nested modelling methodology associated with upscaling procedure of hydraulics properties. Finally, the multi-scale modelling procedure lead to quantify distributed stream-aquifer exchanged water fluxes over 83% of the natural river network of the Seine basin, and thus, achieve to answer the integrated water resources management recommandations of the water framework directive.

The docotoral thesis titled 'Modeling the effects of Transient Stream Flow on Solute Dynamics in Stream Banks and Intra-meander Zones' investigates flow and solute dynamcis across surface water-groundwater interface under dynamic flow conditons through numerical simulations. The abstract of the thesis is as follows: Waters from various sources meet at the interface between streams and groundwater. Due to their different origins, these waters often have contrasting chemical signatures and therefore mixing of water at the interface may lead to significant changes in both surface and subsurface water quality. The riparian zone adjacent to the stream serves as transition region between groundwater and stream water, where complex water and solute mixing and transport processes occur. Predicting the direction and the magnitude of solute exchanges and the extent of transformations within the riparian zone is challenging due to the varying hydrologic and chemical conditions as well as heterogeneous morphological features which result in complex, three-dimensional flow patterns. The direction of water flow and solute transport in the riparian zone typically varies over time as a result of fluctuating stream water and groundwater levels. Particularly, increasing groundwater levels can mobilize solutes from the unsaturated zone which can be subsequently transported into the stream. Such complex, spatially and temporally varying processes are hard to capture with field observations alone and therefore modeling approaches are required to predict the system behavior as well as to understand the role of individual factors. In this thesis, we investigate the inter-connectivity of streamthe s and adjacent riparia zones in the context of water and solute exchanges both laterally for bank storage and longitudinally for hyporheic flow through meander bends. Using numerical modeling, the transient effect of stream flow events on solute transport and transformation within the initially unsaturated part of stream banks and meander bends have been simulated using a systematic set of hydrological, chemical and morphological scenarios. A two dimensional variably saturated media groundwater modeling set up was used to explore solute dynamics during bank flows. We simulated exchanges between stream and adjacent riparian zone driven by stream stage fluctuations during stream discharge events. To elucidate the effect of magnitude and duration of discharge events, we developed a number of single discharge event scenarios with systematically varying peak heights and event duration. The dominant solute layer was represented by applying high solute concentration in upper unsaturated riparian zone profile. Simulated results show that bank flows generated by high stream flow events can trigger solute mobilization in near stream riparian soils and subsequently export significant amounts of solutes into the stream. The timing and amount of solute export is linked to the shape of the discharge event. Higher peaks and increased duration significantly enhance solute export, however, peak height is found to be the dominant control for overall lateral mass export. The mobilized solutes are transported towards the stream in two stages (1) by return flow of stream water that was stored in the riparian zone during the event and (2) by vertical movement to the groundwater under gravity drainage from the unsaturated parts of the riparian zone, which lasts for significantly longer time (> 400 days) resulting in a theoretically long tailing of bank outflows and solute mass outfluxes. Our bank flow simulations demonstrate that strong stream discharge events are likely to mobilize and export significant quantity of solutes from near stream riparian zones into the stream. Furthermore, the impact of short-term stream discharge variations on solute exchange may sustain for long times after the flow event. Meanders are prominent morphological features of stream systems which exhibit unique hydrodynamics. The water surface elevation difference across the inner bank of a meander induces lateral hyporheic exchange flow through the intrameander region, leading to solute transport and reactions within intra-meander region. We examine the impact of different meander geometries on the intra-meander hyporheic flow field and solute mobilization under both steady-state and transient flow conditions. In order to explore the impact of meander morphology on intrameander flow, a number of theoretical meander shape scenarios, representing various meander evolution stages, ranging from a typical initial to advanced stage (near cut off ) meander were developed. Three dimensional steady-state numerical groundwater flow simulations including the unsaturated zone were performed for the intra-meander region for all meander scenarios. The meandering stream was implemented in the model by adjusting the top layers of the modeling domain to the streambed elevation. Residence times for the intra-meander region were computed by advective particle tracking across the inner bank of meander. Selected steady state cases were extended to transient flow simulations to evaluate the impact of stream discharge events on the temporal behavior of the water exchange and solute transport in the intra-meander region. Transient hydraulic heads obtained from the surface water model were applied as transient head boundary conditions to the streambed cells of the groundwater model. Similar to the bank storage case, a high concentration of solute (carbon source) representing the dominant solute layer in the riparian profile was added in the unsaturated zone to evaluate the effect of stream flow event on mobilization and transport from the unsaturated part of intrameander region. Additionally, potential chemical reactions of aerobic respiration by the entry of oxygen rich surface water into subsurface as well denitrification due to stream and groundwater borne nitrates were also simulated. The results indicate that intra-meander mean residence times ranging from 18 to 61 days are influenced by meander geometry, as well as the size of the intra-meander area. We found that, intra-meander hydraulic gradient is the major control of RTs. In general, larger intra-meander areas lead to longer flow paths and higher mean intra-meander residence times (MRTs), whereas increased meander sinuosity results in shorter MRTs. The vertical extent of hyporheic flow paths generally decreases with increasing sinuosity. Transient modeling of hyporheic flow through meanders reveals that large stream flow events mobilize solutes from the unsaturated portion of intra-meander region leading to consequent transport into the stream via hyporheic flow. Advective solute transport dominates during the flow event; however significant amount of carbon is also consumed by aerobic respiration and denitrification. These reactions continue after the flow events depending upon the availability of carbon source. The thesis demonstrates that bank flows and intra-meander hyporheic exchange flows trigger solute mobilization from the dominant solute source layers in the RZ. Stream flow events driven water table fluctuations in the stream bank and in the intra-meander region transport substantial amount of solutes from the unsaturated RZ into the stream and therefore have significant potential to alter stream water quality.:Declaration Abstract Zusammenfassung 1 General Introduction 1.1 Background and Motivation 1.2 Hydrology and Riparian zones 1.2.1 Transport processes driven by fluctuation in riparian water table depth 1.2.1.1 Upland control 1.2.1.2 Stream control 1.2.2 Biochemical Transformations within the Riparian Zone 1.3 Types and scales of stream-riparian exchange 1.3.1 Hyporheic Exchange 1.3.1.1 Small Scale Vertical HEF 1.3.1.2 Large Scale lateral HEF 1.3.2 Bank Storage 1.4 Methods for estimation of GW-SW exchanges 1.4.1 Field Methods 1.4.1.1 Direct measurement of water flux 1.4.1.2 Tracer based Methods 1.4.2 Modeling Methods 1.4.2.1 Transient storage models 1.4.2.2 Physically based models 1.5 Research gaps and need 1.6 Objectives of the research 1.7 Thesis Outline 2 Flow and Transport Dynamics during Bank Flows 2.1 Introduction 2.2 Methods 2.2.1 Concept and modeling setup 2.2.2 Numerical Model 2.2.3 Stream discharge events 2.2.4 Model results evaluation 2.3 Results and discussion 2.3.1 Response of water and solute exchange to stream discharge events 2.3.1.1 Water exchange time scales 2.3.1.2 Stream water solute concentration 2.3.2 Solute mobilization within the riparian zone 2.3.3 Influence of peak height and event duration on solute mass export towards the stream 2.3.4 Effects of event hydrograph shape on stream water solute concentration 2.3.5 Model limitations and future studies 2.4 Summary and Conclusions Appendix 2 3 Flow and Transport Dynamics within Intra-Meander Zone 3.1 Introduction 3.2 Methods 3.2.1 Meander Shape Scenarios 3.2.2 Surface Water Simulations 3.2.3 3D Groundwater Flow Simulations with Modeling code MIN3P 3.2.3.1 Steady Flow Simulations 3.2.3.2 Stream flow event and Solute Mobilization Set-up 3.2.4 Reactive Transport 3.3 Results and Discussion 3.3.1 Groundwater heads and flow paths in the saturated intrameander zone 3.3.1.1 Groundwater heads 3.3.1.2 Flow paths and isochrones 3.3.1.3 Vertical extent of flow paths 3.3.2 Intra-Meander Residence Time Distribution 3.3.3 Factors affecting intra-meander flow and residence times 3.3.3.1 intra-meander hydraulic gradient 3.3.3.2 Maximum penetration depth 3.3.3.3 Meander sinuosity 3.3.3.4 intra-meander area (A) 3.3.4 Influence of Discharge Event on intra-meander Flow and Solute Transport 3.3.4.1 Spatial distribution of groundwater head and solute concentration 3.3.4.2 Time scales of intra-meander groundwater heads and solute transport 3.3.4.3 Solute export during stream discharge event 3.3.5 Intra-meander reactive transport during stream discharge event 3.3.5.1 Impact of stream discharge on aerobic respiration and denitrification 3.3.5.2 DOC mass removal during stream discharge event 3.4 Summary and Conclusions Appendix 3 4 General Summary and Conclusions 4.1 Summary 4.2 Conclusions 4.2.1 Flow and Transport Dynamics in Near Stream Riparian Zone (Bank Flows) 4.2.2 Flow and Transport Dynamics within Intra-Meander Zone 4.3 Model Limitations and Future Studies Bibliography Acknowledgement