[pt] O método empírico de Terzaghi (1943) para cálculo do recalque de adensamento primário com carregamento dependente do tempo é comparado com dois métodos propostos nesta pesquisa: o primeiro, baseado na alteração da fração de tempo em que cada incremento de carregamento é aplicado de forma instantânea, e o segundo mantendo a proposta inicial de Terzaghi (1943), porém realizando reduções percentuais do grau médio de adensamento para o período de construção e obtendo novas frações de tempo para o período pós-construção. Os resultados mostram que com a adoção das frações de tempo, apresentadas em tabelas, a diferença entre os valores do grau médio de adensamento determinados pelas curvas teórica e empírica varia entre 1,50 por cento a 3,50 por cento, dependendo das condições iniciais de excesso de poropressão. O segundo método, mais exato, apresenta diferenças menores, com ambas as curvas praticamente sobrepostas. Adicionalmente, outras duas soluções alternativas são investigadas considerando o carregamento em degraus e discretizado. Uma solução matemática rigorosa também é apresentada para representar o problema de adensamento com drenos verticais, considerando a hipótese de deformações livres. Uma comparação com a solução proposta por Olson (1977), fundamentada no conceito de deformações iguais, mostra que a hipótese de deformações iguais subestima o grau médio de dissipação dos excesoss de poropressão entre 1,15 por cento a 4,84 por cento, e que essa diferença tende a diminuir para tempos de construção elevados. Finalmente, soluções para fluxo vertical e radial combinados também são obtidas, considerando a hipótese de deformações livres e a formulação proposta por Carrillo (1942). / [en] Terzaghi s (1943) empirical method for calculating primary consolidation settlement due to ramp loading is compared with two methods proposed in this research: the first one, based on changing the fraction of time in which each loading increment is applied instantly, and the second keeping Terzaghi s initial proposal (1943), but making reductions in the average degree of consolidation for the construction period and determining new fractions of time for the post-construction period. The results show that with the hypothesis of time fractions, the difference between the values of the average degree of consolidation determined by the theoretical and empirical curves varies between 1.50 percent to 3.50 percent, depending on the initial conditions of excess poropressure. The second method is even more accurate with both curves practically overlapping. Additionally, two other alternative solutions are investigated considering step and discretized loadings. A rigorous mathematical solution is also presented to represent the consolidation problem with vertical drains, considering the hypothesis of free deformations. A comparison with the solution proposed by Olson (1977), based on the concept of equal deformations, shows that the hypothesis of equal deformations underestimates the average degree of consolidation between 1.15 percent to 4.84 percent, and this difference tends to decrease for long construction periods. Finally, solutions for the vertical and radial flow combined is also obtained, considering the hypothesis of free deformations and the formulation proposed by Carrillo (1942).

Soil improvement methods are used to minimize the consequences of liquefaction by changing the characteristics and/or response of a liquefiable soil deposit. When considering sites with previous development, the options for soil improvement are limited. Traditional methods, such as compaction and vibratory techniques, are difficult to employ because of adverse effects on adjacent structures. One potential method for soil improvement against soil liquefaction in developed sites is accelerated drainage through in situ vertical drains. Vertical drains expedite the dissipation of excess pore water pressures by reducing the length of the pore water drainage path. For more than thirty years, vertical gravel drains or stone columns have been employed to ensure the excess pore water pressure ratio remains below a prescribed maximum value. In recent years, the use of prefabricated vertical drains (PVDs) has increased because the drains can be installed with less site disruption than with traditional soil improvement methods. To date, little-to-no field or experimental verification is available regarding the seismic performance of sites treated with PVDs. The effectiveness of PVDs for liquefaction remediation was evaluated via small-scale centrifuge testing and full-scale field testing. A small-scale centrifuge test was performed on an untreated soil deposit and on a soil deposit treated with small-scale vertical drains. Compared to the untreated condition, the presence of the small-scale vertical drains provided numerous benefits including smaller magnitudes of excess pore water pressure generation and buildup, smaller induced cyclic shear strains, reduced times for pore pressure dissipation, and smaller permanent horizontal and vertical displacements. In addition, full-scale in situ field experiments were performed in an untreated soil deposit and in a soil deposit treated with full-scale PVDs using a vibrating mandrel as the dynamic source. In the untreated test area, the maximum induced excess pore pressure ratio reached about 0.95. In the treated test area, the vibratory installation of the first few drains generated significant excess pore pressures; however, significant excess pore pressures were not generated during the vibratory installation of additional drains because of the presence of the adjacent drains. Additionally, the vibratory installation of the drains caused significant settlement and significantly altered the shear wave velocity of the sand. Dynamic shaking after installation of all of the drains induced small accelerations, small cyclic shear strains, and negligible excess pore water pressures in the soil. The results of the field experiment indicate that the prefabricated vertical drains were effective at dissipating excess pore water pressures during shaking and densifying the site. / text

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.

[pt] A história registra ao longo dos séculos muitos casos de colapso de depósitos de solos arenosos, com consideráveis prejuízos econômicos, perdas de vidas humanas e danos ao meio ambiente, causados pela liquefação dinâmica ou por mobilidade cíclica. Quando um desempenho satisfatório de estruturas não puder ser garantido sob carregamento sísmico, métodos de mitigação devem ser empregados para reduzir o potencial de liquefação. Dentre estes, a execução de drenos verticais é solução interessante, mas desafiadora, pois drenos verticais podem ser utilizados caso dissipem suficientemente rápido os excessos de poropressão e transportem eficientemente o volume de água durante os poucos segundos de duração de terremotos. Uma dificuldade é a avaliação do coeficiente de permeabilidade do depósito de solo, o que afeta e torna incerta a distância desejável entre drenos. Nesta dissertação, análises do desempenho de drenos verticais para mitigação de liquefação dinâmica são realizadas com base em formulações matemáticas e modelos numéricos pelo método dos elementos finitos. / [en] Throughout centuries there are many recorded cases of collapse of sandy deposits with considerable economic losses, loss of human life and damage to the environment caused by the dynamic liquefaction or cyclic mobility. When a satisfactory performance of structures can’t be guaranteed under seismic loading, methods of mitigation must be employed in order to reduce the potential of liquefaction. Among these methods, the execution of prefabricated vertical drains is an interesting, but challenging, solution, because drains can be used if they dissipate very quickly the excess of porepressure generated during the small duration of earthquakes. One of the main challenges is to evaluate the coefficient of permeability of the deposit which affects and brings uncertainties to the desirable distance between the drains installed. On this work, analysis of the performance of vertical drains to mitigate dynamic liquefaction are performed based in mathematical formulations and numerical models through the Finite Element Method.

A major instrumented geosynthetic reinforced approach embankment was constructed to 5.5 m elevation above ground, with prefabricated vertical drains, over a soft compressible clay deposit at Leneghan, Newcastle, Australia in May 1995. The field monitoring of settlements for over six years shows that the embankment manifests significant creep. The instrumentation, field performance and the finite element analyses for predicting the long-term performance of this embankment are described in this thesis. The maximum settlement of 1.1 m was observed one year after the completion of construction. However, the embankment continued to settle at a rate of 0.4 mm/day for the next 5 years. The horizontal displacements of 0.09-0.14 m at various locations and the maximum reinforcement strains of 0.67% were recorded. A numerical model was developed to perform a fully coupled large deformation elasto-viscoplastic finite element analysis for this performance prediction based on creep model proposed by Kutter and Sathialingam (1992). The foundation soil was modelled with creep material behaviour using six noded linear strain triangular elements. A well-documented case history ??? Sackville embankment, New Brunswick, Canada was analysed using this model as a benchmark problem and the model was found to predict all the behaviour characteristics reasonably well. The results obtained from finite element analysis using this model are shown to be in reasonable agreement with the observed performance of Leneghans embankment in terms of settlements, horizontal displacements, excess pore pressures and geosynthetic strains. But, the prediction of settlements was less than satisfactory beyond April 1999. Finite element analyses were performed to study the sensitivity of this embankment behaviour on the variation of hydraulic conductivity values and geosynthetic reinforcement properties. This sensitivity study indicated that the kv variation, the kh/kv ratio and the nominal values of geosynthetic properties adopted in the benchmark analysis are reasonable enough for the long-term behaviour prediction.

A major instrumented geosynthetic reinforced approach embankment was constructed to 5.5 m elevation above ground, with prefabricated vertical drains, over a soft compressible clay deposit at Leneghan, Newcastle, Australia in May 1995. The field monitoring of settlements for over six years shows that the embankment manifests significant creep. The instrumentation, field performance and the finite element analyses for predicting the long-term performance of this embankment are described in this thesis. The maximum settlement of 1.1 m was observed one year after the completion of construction. However, the embankment continued to settle at a rate of 0.4 mm/day for the next 5 years. The horizontal displacements of 0.09-0.14 m at various locations and the maximum reinforcement strains of 0.67% were recorded. A numerical model was developed to perform a fully coupled large deformation elasto-viscoplastic finite element analysis for this performance prediction based on creep model proposed by Kutter and Sathialingam (1992). The foundation soil was modelled with creep material behaviour using six noded linear strain triangular elements. A well-documented case history ??? Sackville embankment, New Brunswick, Canada was analysed using this model as a benchmark problem and the model was found to predict all the behaviour characteristics reasonably well. The results obtained from finite element analysis using this model are shown to be in reasonable agreement with the observed performance of Leneghans embankment in terms of settlements, horizontal displacements, excess pore pressures and geosynthetic strains. But, the prediction of settlements was less than satisfactory beyond April 1999. Finite element analyses were performed to study the sensitivity of this embankment behaviour on the variation of hydraulic conductivity values and geosynthetic reinforcement properties. This sensitivity study indicated that the kv variation, the kh/kv ratio and the nominal values of geosynthetic properties adopted in the benchmark analysis are reasonable enough for the long-term behaviour prediction.