Numerical Analysis for Excess Pore Pressure Dissipation Process for Pressed Pile Installation

The variation in percentage consolidation with time within a clay layer subjected to a non-uniform initial excess pore water pressure distribution can be difficult to evaluate, and as a result, often a uniform initial distribution is assumed in most analyses. However, by utilizing some of the key features of consolidation in terms of excess pore water pressure dissipation, it is possible to simply adjust the uniform case to account for any number of non-uniform initial excess pore pressure distributions. By observing the decay of excess pore water pressure with time resulting from various non-uniform initial distributions, it is clear that any initial asymmetry or skewness is quickly dispersed, and the distribution of excess pore pressure with depth becomes sinusoidal (or half-sinusoidal if singly drained) shortly after consolidation has commenced. In other words, once the pore pressure decay due to a non-uniform initial distribution has become sinusoidal, it will actually decay at the same rate as the uniform case – however, it will be “ahead” or “behind” the uniform case by some constant factor. Once this factor has been determined, it is possible to simply adjust the rate of consolidation resulting from a uniform initial pore pressure distribution (the values of which are widely available in literature) to account for any number of realistic non-uniform initial excess pore pressure distributions.

Soil liquefaction has conventionally been studied in cyclic laboratory tests as a pure undrained condition, assuming that excess pore water pressure is unable to dissipate during rapid shearing. As such, dissipation of excess pore water pressure generated during shearing is often not modelled in classic cyclic simple shear and triaxial tests. In contrast, dissipation of excess pore pressure does occur in the field following major earthquakes in the form of severe ground settlement and sand boils where fine granular soils were found. In this theme lecture, two aspects of soil liquefaction are discussed. First, a study on the interaction of excess pore water pressure generation and dissipation on liquefiable clean sand in the cyclic triaxial test setup is conducted. Results show that pore water dissipation at merely a fraction of the permeability of the soil can have a significant effect to the soil’s susceptibility to liquefaction. This calls for future cyclic laboratory tests to adopt similar near-perfect undrained condition to better reflect a more realistic representation of soil liquefaction in the field. Second, a critical cyclic shear stress ratio is obtained, where excess pore pressure dissipation dominates excess pore pressure generation, beyond which the soil is no longer susceptible to liquefaction. Complementing this ratio is the identification of a critical void ratio in which the excess pore pressures do not build up despite considerable shearing amplitude, implying the soil is no longer susceptible to liquefaction at that degree of densification. Such information would serve as a guidance to mitigate soil liquefaction in soil densification operations.KeywordsSoil liquefactionPore pressureGenerationDissipationCyclic shear stress ratioVoid ratio

ABSTRACTAlthough the uplift behavior of offshore plate anchors under undrained conditions has been investigated well in the past, studies on the behavior of anchors under long-term sustained loading are in relatively few numbers. The time required for consolidation under sustained load is important because the shear strength of soil changes after dissipation of excess pore pressure. In this paper, small strain finite-element analyses have been performed to investigate the consolidation time history above and beneath strip anchors. The modified cam clay plasticity constitutive model is used for modeling coupled pore fluid stress analysis. The effects of magnitude of preloading with embedment level have been studied. As expected, the FE results have shown that excess pore pressure dissipation time for soil above the anchor increased with the increase in embedment depth and the magnitude of preload. Rapid dissipation of negative excess pore pressure beneath the anchor was observed with increasing embedment depth, if the preload magnitude is equal to or more than 60% of the undrained capacity. Observed consolidation responses are presented as nondimensional design charts and simplified equations for ease of practice.

Application of an optimum design technique for determining the coefficient of consolidation by using piezocone test data

Previous studies have revealed that prefabricated vertical drains (PVDs) are effective in stabilizing the soft subgrade soils under traffic-induced cyclic loads. A consolidation model of soft clays under cyclic loading incorporating both radial and vertical drainages, and nonlinear variation of compressibility and permeability is presented in this paper. The prediction of the model matches well with the result from a large-scale cyclic triaxial test conducted on a soil sample installed with a single PVD. Parametric analysis has also been carried out to explore the impacts of cyclic degradation parameter, cyclic stress ratio, nonlinear compressibility and permeability, cyclic loading frequency, drainage condition, and number of loading cycles on the behaviors of the PVD-reinforced soil. Results indicate that radial drainage helps to decelerate the accumulation of excess pore pressures under cyclic loading due to two factors: increased rate of excess pore pressure dissipation and decreased rate of internal excess pore pressure generation. In addition, radial drainage also facilitates the rapid dissipation of excess pore pressures during rest period, leading to a denser soil which is stronger for resisting the subsequent set of cyclic loads. The findings of this study demonstrate the usefulness of PVDs in reinforcing soft subgrades under cyclic loading conditions, e.g., road pavement, railway embankment, etc.

Influence of biodegradable natural fibre drains on the radial consolidation of soft soil

Post-cyclic loading settlement of saturated clean sand

The paper presents a framework for analysis of beams interacting with nonlinear‐poroelastic, layered continuums (e.g., clayey soils) when subjected to time‐dependent loads. The poroelastic layered continuum is characterized by a nonlinear‐elastic constitutive relationship that relates the secant shear modulus to the induced shear strain. The Biot's theory of consolidation is combined with a dynamic beam‐continuum interaction model to develop the analysis. The vertical consolidation settlement of the beam and the excess pore pressure in the porous continuum are assumed to be products of separable functions, and the extended Hamilton's principle of least action is applied to obtain the differential equations governing the inertial consolidation motion of the beam‐continuum system and the dissipation of excess pore pressure. An iterative numerical algorithm is used to solve these coupled differential equations following one‐dimensional finite element analysis in which the implicit Wilson‐Θ time integration scheme is used to obtain the time history of beam and continuum responses. The novelty of the framework is that it rigorously takes into account the nonlinear poroelastic soil‐structure interaction within a dynamic time‐integration framework with minimal computational resources. The characteristics of this newly developed model are illustrated through examples.

The current design of MSE walls, which is based on limit state analysis, does not apply to undrained conditions. Laboratory and numerical pullout tests are performed to determine the relation between drained and undrained pullout capacities for different soil types (clean sand, 5, 10, 15 and 35 % silty sand), overburden pressures (30, 100 and 200 kPa), and scale and permeability effects in the dissipation of excess pore pressures. The results of the pullout tests show that both drained and undrained pullout capacities change as silt content changes since the pullout capacity increases as the internal friction angle of the soil increases. It is also observed that the pullout capacity increases as the overburden pressure increases. Undrained conditions significantly reduce the pullout capacity as much as 50%. This is caused by the generation of excess pore pressures in the soil under rapid loading which decrease the effective stress at the soil-reinforcement interface. The magnitude of the pullout reduction is related to the permeability of the soil since for large permeabilities the dissipation of excess pore pressures is very rapid and no reduction in pullout is produced; in contrast for low permeabilities the dissipation of excess pore pressures is slower than the rate of pullout and thus a reduction occurs. This is confirmed by the experiments that show no reduction in pullout capacity for clean sand, and a large reduction for silty sands. The ratio of undrained to drained pullout capacity changes with silt content and overburden pressure; for 100 and 200 kPa overburden pressure, the ratio is 1.0 for clean sand, 0.67~0.69 for 5 % silty sand, 0.77~0.78 for 10 %, 0.72~0.73 for 15 %, and 0.57~0.59 for 35 % silty sand. For 30 kPa overburden pressure, the ratio is 1.0 for clean sand, 0.5 for 5 % silty sand, 0.67 for 10 %, 0.78 for 15 %, and 0.72 for 35 % silty sand. It is observed in the numerical analyses that the dissipation of pore pressures is very rapid for permeabilities larger than 10-2 cm/sec, and significantly slow for permeabilities smaller than 10-3 cm/sec. Scale effects are extremely important since as the length of the reinforcement increases the time for pore pressures to dissipates increases.

A convenient and computationally efficient technique for analyzing the one-dimensional consolidation of periodically layered deposits is developed. This technique involves the use of a Laplace transform and an analytic solution to the governing equations is determined in transformed space. The transform is then inverted numerically. This technique requires minimal computational storage or calculation. The technique is then used to examine the response of periodically layered deposits. Particular emphasis is given to the effects of pumping from an underlying aquifer and to the time required to establish steady state flow from an overlying (possibly polluted) aquifer. The consolidation of deposits with a linear initial excess pore pressure distribution and impermeable or permeable base is also fly examined.

Axisymmetric consolidation in a sand drain foundation is a common problem in foundation engineering. In unsaturated soils, the excess pore-water and pore-air pressures simultaneously change during the consolidation procedure; and the solutions are not easy to obtain. The present paper uses the differential quadrature method (DQM) for axisymmetric consolidation of unsaturated soils in a sand drain foundation. The radial seepage of sand drain foundation is considered based on the framework of Fredlund’s one-dimensional consolidation theory in unsaturated soils. With the use of Darcy’s law and Fick’s law, the polar governing equations of excess pore-air and pore-water pressures of axisymmetric consolidation are derived. By using DQM, the two governing equations are transformed into two sets of ordinary differential equations. Then the solutions of excess pore-water and pore-air pressures can be obtained by Rong-Kutta method. The DQM solution can be used to deal with the case of nonuniform initial pore-air and pore-water distributions. Finally, case studies are presented to investigate the behavior of axisymmetric consolidation of unsaturated soils. The convergence analysis and average degree of consolidation, the settlements in radial and vertical direction, and the effects of different initial excess pore pressure distributions are presented, and discussed in this paper.

The work described herein estimates the axial pile capacity subjected to consolidation setup and aging. Two models were developed for clay and sand to estimate aging setup based on the data collected from the literature where piles have been tested at different times after the excess pore pressure dissipation. One model for clay was developed based on Louisiana database comprising 10 instrumented piles to quantify the consolidation setup. A separation before and after excess pore water pressure indicates that aging takes place after the excess pore water pressure. The best 8 direct CPT methods evaluated by previous researchers were used in this study. The results indicate that the CPT methods were capable of estimating side capacity considering consolidation setup (more than or less than 14 days) without any modification. Regarding Aging, the results show that all pile CPT methods evaluated underestimate the pile capacity and the accuracy of these methods increases by applying the aging databases for both sand and clays.

It is well known that the bearing capacity and stiffness of displacement piles depends on short term effects during and shortly after pile installation as well as long term effects, a phenomenon usually referred to as set-up. During pile installation the surrounding soil is influenced by the installation process. The soil state e.g. the stress state, pore pressure or void ratio are changing due to complex mechanical processes in the soil. The change of the soil state has a great influence on the pile capacity and the behavior of the pile under vertical and horizontal loading. During the installation process phenomena like a temporary and locally limited liquefaction of the soil can occur. After the pile installation the bearing capacity may increase significantly with time due to set-up effects. In cohesive soils the set-up is commonly explained by consolidation processes in which the dissipation of the excess pore pressures around the pile leads to an increase in effective radial stresses. Case histories show that set-up may also occur in sand over a period which exceeds by far the consolidation process. Therefore, other effects apart from the dissipation of excess pore pressures must contribute to this long-term set-up effect. An understanding and a correct estimation of these effects is of great importance for a economical design of pile-founded structures e.g. offshore wind turbines. For the investigation of these phenomena different methods like numerical simulations, model scale or full scale tests are applicable. In this paper two methods are used: The installation process is investigated with numerical simulations and the set-up effects are investigated by long term in-situ measurements.

A case history of repeated dynamic and static loading tests in Alberta on two pipe piles during dissipation of driving-induced pore pressures is presented together with three reanalyzed published case histories involving similar records. The four case histories demonstrate that, for each case, the same effective-stress proportionality coefficients, beta-coefficients, fit the capacities at different degrees of dissipation of excess pore pressures. For two of the test sites, the beta-coefficients back-calculated from the tests differed considerable from the values determined from the soil plasticity relation, while for two, the agreement is good. For one case, the back-calculated shaft resistance agreed well with the values of vane shear strength, while a less good agreement was found for the other tests. Neither case showed good agreement was found for methods combining undrained shear strength and effective overburden stress. Capacity calculations for two cases employing methods based on CPT (cone penetrating testing) soundings gave excellent agreement with one test and a poor agreement with the other. The increase of capacity due to aging after dissipation of excess pore pressures did not agree with cited recommendation for calculations of aging effect.

Centrifuge model test and numerical interpretation of seismic responses of a partially submerged deposit slope