Finite element modeling of laminar shear box testing that consisted of loose sand treated with large diameter prefabricated vertical drains (PVDs), was performed. The objective of the modeling was to evaluate the reliability of the computer program FEQDrain for predicting excess pore pressure ratios (Ru) at sites treated with prefabricated drains. FEQDrain was found to be capable of successfully modeling measured excess pore pressure ratio time histories from the laminar shear box experiment, as long as an appropriate combination of ˜number of equivalent cycles and ˜shaking duration was chosen, and sensitive parameters were in the range of measured values. Hydraulic conductivity, soil compressibility, and cycles to liquefaction are sensitive parameters and govern the computed Ru values.Modeling shows that the loading rate in the laminar shear box (15 cycles at 2 Hz) likely induced higher Ru values than would be expected in a typical earthquake event with a longer duration. The longer duration allows the drains to dissipate pore pressures and prevent liquefaction. The number of equivalent cycles and duration of shaking combinations recommended for various moment magnitudes in the FEQDrain user manual predict lower, but similar Ru versus time curves. Thus, suggesting that PVDs would be equally effective for any size earthquake. However, drains are most effective at preventing liquefaction when earthquake ground motions are long and uniform, rather than short and intense.Results from models in this study compare favorably with those from computer modeling performed by Howell et al. (2014). The individual hydraulic conductivity and compressibility values were different they were somewhat compensating. Similar Ru values can be modeled with different combinations of these parameters.Based on computer analyses, wick drains and 2 diameter PVDs were found to be relatively ineffective for preventing liquefaction. However, 3 diameter PVDs are fairly effective but can be overwhelmed during intense shaking. In contrast, 4 diameter and larger PVDs are significantly more effective.

Liquefaction is a costly phenomenon where soil shear modulus degrades as the generation of excess pore pressures begins. One of the methods to mitigate liquefaction, is the use of prefabricated vertical drains. Prefabricated vertical drains provide a drainage path to effectively mitigate the generation of pore pressures and aid in shear modulus recovery. The aims of this study were to define shear modulus degradation vs. shear strain as a function of excess pore pressure ratio; define the effects of prefabricated vertical drains on the behavior of pore pressure generation vs. shear strain; and to define volumetric strain as a function of shear strain and excess pore pressure ratios. A large-scale laminar shear box test was conducted and measured on clean sands with prefabricated vertical drains spaced at 3-feet and 4-feet. The resulting test data was analyzed and compared to data without vertical drains. The results show the effect of increasing excess pore pressure ratios on shear modulus and curves where developed to encompass these effects in design with computer programing like SHAKE or DEEPSOIL. The data also suggests that prefabricated vertical drains effectively mitigate excess pore pressure build-up, thus increased the shear strain resistance before pore pressures were generated. Regarding volumetric strain, the results suggests that the primary factor governing the measured settlement is the excess pore pressure ratio. This indicates that if the drains can reduce the excess pore pressure ratio, then the resulting settlement can successfully be reduced during a shaking event. The curves for shear modulus vs. cyclic shear strain as function of pore pressure ratio were developed using data with high strain and small strain which leaves a gap of data in the cyclic shear strain range of 0.0001 to 0.01. Further large-scale testing with appropriate sensitivity is needed to observe the effect excess pore pressure generation on intermediate levels of cyclic shear strain.

Cette thèse est composée de trois articles indépendants qui ont pour trait commun d’analyser le comportement d’investisseurs et de firmes en situation de concurrence imparfaite. Nous considérons d’abord un modèle de marché financier à la Kyle (1985) où les investisseurs peuvent produire soit un signal (fondamental) sur la valeur d’un actif risqué, soit un signal (non-fondamental) sur la demande aléatoire des noise traders. Nous montrons que réduire le coût du signal non-fondamental détériore l’efficience informationnelle du prix du titre et,sous certaines conditions, le bien-être des noise traders. Nous étendons ensuite le modèle au cas où les investisseurs non-fondamentalistes soumettent des ordres à cours limité. Leur activité s’apparente alors à du “front running”. Par ce biais, nous enrichissons nos résultats et montrons que l’effet potentiellement néfaste de l’accès à l’information non-fondamentale persiste.Nous considérons ensuite un marché à la Kyle (1985) où des agents non informés échangent pour un motif de partage de risque avec des investisseurs répartis sur un réseau.Ces derniers partagent leurs signaux avec leurs contacts, ce qui formalise une meilleure diffusion de l’information. Nous évaluons alors l’effet de cette hypothèse sur deux critères: le profit spéculatif et l’espérance d’utilité des agents non informés qui mesure l’efficacité du partage de risque sur le marché. Nous montrons que l’ajout du réseau peut simultanément améliorer ces deux critères ainsi que l’efficience informationnelle du prix. Un résultat original qui ne peut pas être obtenu sans l’ajout du réseau. Enfin, nous caractérisons la coopération graduelle entre deux firmes concurrentes de tailles différentes incapables de contracter et dont les contributions sont irréversibles. Nous montrons que l’asymétrie entre les deux firmes ralentit fortement le processus de collaboration,ce qui souligne l’importance des arrangements contractuels dans certaines situations. Nous montrons aussi qu’un renforcement de la concurrence entre les deux firmes peut nuire au bien-être social en réduisant leur capacité à collaborer. / This thesis contains three distinct papers related to the behavior of investors or firms acting under imperfect competition. First, we consider a Kyle’s (1985) model where investors can produce either a (fundamental) signal on the value of the risky asset, or a (non fundamental)signal on the forth coming demand from noise traders. We show that reducing the cost of the non-fundamental signal worsens price informativeness as well as the welfare of noise traders under some conditions. Then, we extend the model by allowing non fundamental traders to submit limit orders. Their activity is then analogous to front running. By this mean, we enrich our results and show that the potentially detrimental effect of non-fundamental information still pertains. Then, we consider a market à la Kyle (1985) where uninformed hedgers trade for risk sharing purposes with investors located on a network, who share their signal with their“contacts”. This hypothesis formalizes a better diffusion of information. We evaluate its effect on speculative gains and hedgers’ expected utility which depends on the risk sharing role of the market. We show that the introduction of the network might simultaneously improve these two welfare measures as well as price informativeness. An original result that cannot be obtained otherwise. Finally, we consider a contribution game between two competitors of different sizes. We obtain the value of their (irreversible) contributions during each period of the game. We show that the asymmetry between the two firms strongly slowers the collaboration process,high lighting the importance of contractual arrangements in some circumstances. Also, we obtain that increasing competition might be detrimental to social welfare, because it harms the ability of the two firms to set up a mutually beneficial process of collaboration.