Thesis (Ph. D.)--University of Texas at Austin, 2005. / Vita. Includes bibliographical references (leaves 211-228). Also available in an electronic version.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1972. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (M.S.)--University of Wisconsin--Madison, 1968. / eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (M.S.)--University of Wisconsin--Madison, 1969. / eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (M.S.)--University of Wisconsin--Madison, 1984. / Typescript. eContent provider-neutral record in process. Description based on print version record. Bibliography: leaves 119-137.

Different sources of uncertainties have been inevitably induced into the environmental modeling due to different reasons such as the variability in the future climate state, incomplete knowledge and complexity of the nature system, and randomness in the system properties. These uncertainties make the model predictions inherently uncertain, and uncertainty becomes an important obstacle in environmental modeling. This dissertation presents a general framework for purpose of uncertainty quantification and it provides quantitative measures for relative importance of different uncertain factors to model outputs. The framework includes two parts: uncertainty analysis which implements variance decomposition technique to decompose and quantify different types of input uncertainty sources (i.e., scenario, model and parametric uncertainties); global sensitivity analysis which develops a new set of variance-based global sensitivity indices for measuring importance of model parameters with considering multiple future climate scenarios and plausible models. To demonstrate the usage and compatibility of the uncertainty quantification framework with different types of models, it was applied into two distinct cases: a synthetic groundwater reactive transport case and a barrier island morphological case. In the groundwater case, a Bayesian network integrated groundwater reactive transport model was built and studied for a synthetic case. Different uncertainty sources are described as uncertain nodes in the Bayesian network. All the nodes are characterized by multiple states, representing their uncertainty, in the form of continuous or discrete probability distributions that are propagated to the model endpoint, which is the spatial distribution of contaminant concentrations. In the barrier island case, a new Barrier Island Profile (BIP) model which simulates the barrier island cross-section morphological evolution was developed and studied. For a series of barrier island cross-sections derived from the characteristics of Santa Rosa Island, Florida, BIP was used to evaluate their responses to random storm events and five potential accelerated rates of sea-level rise projected over a century. Monte Carlo simulation is used to decompose and quantify the predictive uncertainties for uncertainty analysis of both cases. In the global sensitivity analysis, besides quasi-Monte Carlo simulation, sparse grid collocation method was also implemented to estimate the global sensitivity index to save the computational cost in the groundwater case. The study of BIP model demonstrates that BIP is capable of simulating realistic patterns of barrier island profile evolution over the span of a century using relatively simple representations of time- and space-averaged processes with consideration of uncertainty of future climate impacts. The results of uncertainty quantification for both cases demonstrate different types of model input uncertainty sources and the relative importance of model parameters can be quantified using the developed uncertainty quantification framework. And the global sensitivity indices may vary substantially between different models and scenarios. Not considering the model and scenario uncertainties, may result biased identification of important model parameters. The framework will be very useful for environmental modelers to prioritize different uncertainties and optimize expanse of limited resources to more efficiently decrease predictive uncertainty. Although only two applications are demonstrated, this uncertainty quantification framework is mathematically general and it can be applied to a wider range of hydrologic and environmental problems. / A Dissertation submitted to the Department of Scientific Computing in partial fulfillment of the requirements for the degree of Doctor of Philosophy. / Fall Semester, 2014. / November 5, 2014. / Barrier Island Modeling, Coastal Modeling, Groundwater Reactive Transport Modeling, Multiple Scenarios and Models, Sensitivity Analysis, Uncertainty Analysis / Includes bibliographical references. / Ming Ye, Professor Directing Dissertation; Anke Meyer-Baese, Committee Member; Tomasz Plewa, Committee Member; Dennis Slice, Committee Member.

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A research report submitted to the Faculty of Science, University of the Witwatersrand in partial fulfillment of the requirements for the degree of Masters (MSc. by Course work and Research Report) 30th September, 2015 / Acid Mine Drainage (AMD) refers to the seepage or runoff of acidic water from abandoned mines into the surrounding environment. Acid mine drainage is considered a serious long term environmental threat associated with mining. This study was conducted on the Varkenslaagte canal or stream which flows from north to south within the AngloGold Ashanti West Wits gold mining operation, 75 km west of Johannesburg, and receives AMD from tailings storage facilities (TSFs) located on both the northern aspect and the western aspect of the catchment. On the Varkenslaagte, 17 reed beds were planted between 1-12-2011 and 12-9-2012, in a series of shallow excavated depressions. This study was conducted in 2013 and 2014, and aimed to ascertain: (i) whether there is any temporal difference (autumn – end of the rainy season, versus winter – mid-dry season, for 2013 and 2014 combined) in selected fresh-water quality parameters and concentrations of AMD contaminants in the flowing waters in the engineered reed beds; - this was observed, as higher concentrations were recorded in winter than in autumn, for some of the selected water quality parameters, in both survey years; (ii) to determine if vertical changes exist in the elements down the sediment profile from the surface to a depth of approximately half a metre; - conspicuous vertical changes were not evident; and also; (iii) to provide a baseline for monitoring the post clean-up state of the upper Varkenslaagte, and conclude whether the reed bed system is retaining AMD contaminants (major ions, trace and major elements). Chemical variations in water and sediment samples were measured in situ in April/May 2013 and July 2014, and water samples and sediment cores collected for laboratory analyses. Water samples were collected from three points (inflow, middle and outflow) at each of 15 reed beds (RBs, numbered RB 1 -15) in receipt of AMD from two directions (downstream and laterally from TSFs on the northern and western aspects). Ion Chromatography was used to detect chloride (Cl-) and sulphate (SO42-), Inductively Coupled Plasma Optical Emission Spectroscopy (ICP-OES) and Inductively Coupled Plasma Mass Spectrometry (ICP-MS) were used to identify major and trace elements; iron (Fe), magnesium (Mg), manganese (Mn), potassium (K), cobalt (Co), nickel (Ni), lead (Pb), copper (Cu) and zinc (Zn) in the water samples whereas X-Ray Fluorescence (XRF) analysis for elements was conducted on surface sediments (0-2cm; additional analyses of sediment core samples at depths 2-5 cm, 5-10 cm, 10-20 cm and 20 -30 cm were analyzed but were not considered further). The water in the reed beds was moderately acidic to within the target range. It ranged from pH 5.17 to 6.51 in April, 2014 (approaching the end of the wet season) (P < 0.05) (P = 0.0001) to slightly higher values of pH 5.45 to 6.82 in July, 2014 (mid-dry season) (P = 0.0053). Marginal acidity is above pH 6. A pH of 6.5 – 7.5 is within the target water quality range (TWQR) on the Highveld. High electrical conductivity (EC) values were found, ranging from 3500 – 4600 μs/cm in April and 2600 – 5500 μs/cm in July, though EC values can be higher on much of the South African gold mining Highveld. Lateral influx of AMD from the western TSFs was visually observed into two of the southernmost Varkenslaagte stream reed beds (at RBs13 and 15) during both April and July sampling. In 2014, the Varkenslaagte was still flowing from reed bed to reed bed, although very slowly, similar to 2013. Chloride, sulphate and metal concentrations were high relative to target water quality ranges in most of the reed beds in during April and July, 2014. Although higher concentrations in the sediment suggest that the reed beds are effective in capturing and retaining contaminants in sediment and root mass, the concentrations in the water in reed beds 1-15 still exceeded the target water quality ranges for aquatic ecosystems in South Africa (DWAF, 1996) and the World Health Organization (WHO) guidelines for drinking water quality (WHO, 2004). However use of the water from the Varkenslaagte by humans and livestock is prohibited by the Department of Water and Environmental Affairs, and the National Nuclear Regulator. The bar charts comparing 2013 and 2014 selected water quality data showed that during winter/drier periods with no rains, the rate of evaporation exceeded dilution; this was observed by the slightly lower pH values recorded across the reed beds in July, 2013 and 2014, in comparison with the slight higher pH values recorded across the reed beds in May, 2013 and April, 2014. The bar charts also showed that the highest EC was recorded in the winter of 2014. It was also observed from the principal component analyses (PCAs) that EC, sulphate and pH, in combination with Mg and Fe, were responsible for most of the variation in the water quality data for the two survey years, 2013 and 2014. Following the findings from this study, it is recommended that monitoring of the site should also address whether the reed beds and other control measures that have been put in place (riparian woodlands and windmill pumps) will be adequate to control the lateral seepage from the Western TSFs at some of the southernmost reed beds.

The objective of this thesis is the development of a unifying framework for the integration and upscaling of the fluid mechanical, ecological and biomechanical processes occurring in aquatic flows. Particular focus is on the interactions of the fluid motion with aquatic plants and sediments in aquatic systems. Appropriately formulated coupled conservation equations are developed for fluid, sediment, and plant motions. The starting points for their derivation are the continuity and momentum equations written for instantaneous local field variables, for fluid, sediment and aquatic plants. The equations of motion for fluid, sediment and plants (at the stem scale) are averaged over time and space to cope with the temporal and spatial heterogeneity of the flow field near the interfacial boundary and couple the fluid and non-fluid equations of motion. To deal with the possible discontinuity of the time-averaged fields within the averaging time, appropriate definitions and theorems for time-averaging are proposed. Time-averaging is then applied on the equations of motion for each phase to obtain the respective time-averaged equations. Time-averaged equations for the second-order velocity moments are also proposed for mobile-boundary flows. The application of consecutive time-space averaging on the continuum equations led to the development of the double-averaged equations of motion for each phase. Double-averaged continuity and momentum equations have been recently proposed for mobile-boundary flows. In this thesis, the coupled double-averaged continuity and momentum equations are proposed for the sediment material and aquatic plants at the reach scale. Double-averaged equations for the second-order velocity moments have been derived for the case of fluid and sediments. By applying the double-averaging methodology (i) the governing equations are upscaled to the scales relevant to applications, (ii) the fluid motion is rigorously coupled with the non-fluid (plants or sediments) motions, and (iii) the effect of the moving interfacial boundary is introduced explicitly in the governing averaged equations. The derived second-order hydrodynamic double-averaged equations are applied to the analysis of extensive data from Direct Numerical Simulations of turbulent open-channel flows over mobile granular beds (the simulations were performed in the Dresden Technical University by Professor J. Fröhlich's Group). The use of the double-averaged equations provides significant data reduction and assists in the data interpretation. The key physical mechanisms involved in the energy transfers between the fluid mean, form-induced and turbulent fields as well as sediment motions are identified based on the assessment of the terms in the double-averaged balances of kinetic energy.