Model reduction of stochastic groundwater flow and transport processes

This work presents a comprehensive methodology for the reduction of analytical or numerical stochastic models characterized by uncertain input parameters or boundary conditions. The technique, based on the Polynomial Chaos Expansion (PCE) theory, represents a versatile solution to solve direct or inverse problems related to propagation of uncertainty. The potentiality of the methodology is assessed investigating different applicative contexts related to groundwater flow and transport scenarios, such as global sensitivity analysis, risk analysis and model calibration. This is achieved by implementing a numerical code, developed in the MATLAB environment, presented here in its main features and tested with literature examples. The procedure has been conceived under flexibility and efficiency criteria in order to ensure its adaptability to different fields of engineering; it has been applied to different case studies related to flow and transport in porous media. Each application is associated with innovative elements such as (i) new analytical formulations describing motion and displacement of non-Newtonian fluids in porous media, (ii) application of global sensitivity analysis to a high-complexity numerical model inspired by a real case of risk of radionuclide migration in the subsurface environment, and (iii) development of a novel sensitivity-based strategy for parameter calibration and experiment design in laboratory scale tracer transport.

Towards a broader understanding of the effects of tidal forcing on the global ocean circulation

The study of tides and their interactions with the complex dynamics of the global ocean represents a crucial challenge in ocean modelling. This thesis aims to deepen this study from a dynamical point of view, analysing what are the tidal effects on the general circulation of the ocean. We perform different experiments of a mesoscale-permitting global ocean model forced by both atmospheric fields and astronomical tidal potential, and we implement two parametrizations to include in the model tidal phenomena that are currently unresolved, with particular emphasis to the topographic wave drag for locally dissipating internal waves. An additional experiment using a mesoscale-resolving configuration is used to compare the simulated tides at different resolutions with observed data. We find that the accuracy of modelled tides strongly depends on the region and harmonic component of interest, even though the increased resolution allows to improve the modelled topography and resolve more intense internal waves. We then focus on the impact of tides in the Atlantic Ocean and find that tides weaken the overturning circulation during the analysed period from 1981 to 2007, even though the interannual differences strongly change in both amplitude and phase. The zonally integrated momentum balance shows that tide changes the water stratification at the zonal boundaries, modifying the pressure and therefore the geostrophic balance over the entire basin. Finally, we describe the overturning circulation in the Mediterranean Sea computing the meridional and zonal streamfunctions both in the Eulerian and residual frameworks. The circulation is characterised by different cells, and their forcing processes are described with particular emphasis to the role of mesoscale and a transient climatic event. We complete the description of the overturning circulation giving evidence for the first time to the connection between meridional and zonal cells.

Testing the effectiveness of phytoscreening to monitor shallow groundwater contamination by chlorinated ethenes

The research presented herein aims to investigate the strengths and weaknesses of a relatively new technique called phytoscreening. Parallel to the well-known phytoremediation, it consists of exploiting the absorbing potential of trees to delineate groundwater contamination plumes, especially for chlorinated ethenes (i.e., PCE, TCE, 1,2-cis DCE, and VC). The latter are prevalent contaminants in groundwater but their fate and transport in surface ecosystems, such as trees, are still poorly understood and subjected to high variability. Moreover, the analytical validity of tree-coring is still limited in many countries due to a lack of knowledge of its application opportunities. Tree-cores are extracted from trunks and generally analyzed by gas chromatography/mass spectrometry. A systematic review of former literature on phytoscreening for chlorinated ethenes is presented in this PhD thesis to evaluate the factors influencing the effectiveness of the technique. Besides, we tested the technique by probing eight sites contaminated by chlorinated ethenes in Italy (Emilia-Romagna) in different hydrogeological and seasonal settings. We coupled the technique with the assessment of gaseous-phase concentrations directly on-site, inserting detector tubes or a photoionization detector in the tree-holes left by the coring tool. Finally, we applied rank order statistic analysis on field data along with literature data to assess under which conditions phytoscreening should be applied to either screen or monitor environmental contamination issues. A relatively high correlation exists between tree-core and groundwater concentrations (Spearman’s ρ > 0.6), being higher for compounds with higher sorption, for sites with shallower and thinner aquifers, and when sampling specific tree types with standardized sampling and extraction protocols. These results indicate the opportunities for assessing the occurrence, type, and concentration of solvents directly from the stem of trees. This can reduce the costs of characterization surveys, allowing rapid identification of hotspots and plume direction and thus optimizing the drilling of boreholes.