Non-linear analysis of the consolidation of an elastic saturated soil with incompressible fluid and variable permeability by FEM

Menéndez, César; Nieto, P.J. Garcı́a; Ortega, Francisco A.; Bello, Abubakar M.

doi:10.1016/j.amc.2010.01.039

Cited by 7 publications

(5 citation statements)

References 17 publications

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“…Subsequently, researchers such as Menéndez et al (2010), Abuel-Naga and Pender (2012), Brandenberg (2016), Wu et al (2016), Pu et al (2018aPu et al ( , 2018b, Li et al (2018), Liu et al (2018) focus on this challenging area and make meaningful achievements. Therefore, the variable compressibility of soft soils is necessary to be considered in settlement calculation of soft soil layers, especially for thick soil layers.…”

Section: Introductionmentioning

confidence: 99%

Development and Verification of a New Simplified Method for Calculating Settlement of a Thick Soil Layer with Nonlinear Compressibility and Creep

Feng

Yin

2020

Int. J. Geomech.

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The variable compressibility is necessary to be considered in settlement calculation of soft soil stratums, especially for thick soil layers. In this study, to calculate the consolidation settlement of a thick soil layer with creep, a new simplified method is presented using Zhu and Yin method (2012) to consider the nonlinear compressibility. The creep settlement during the consolidation stage is calculated, examined, and discussed for the thick soil layer. In the new simplified method, α is an important parameter to approximately consider the couple of consolidation and creep. It is found that the value of α in the new simplified method is a variable and is suggested to take α =Uz as a simplification. A series of cases including different thicknesses of soil stratums, different OCR values, different surcharge loadings, and different values of creep parameter are studied to verify the new simplified method by comparing our calculated values with the finite element simulated results. Subsequently, a typical and well-known Väsby test fill project with 50 years' measured data is selected as a thick soil layer example to illustrate the feasibility of the new simplified method to be used in practice. Both the new simplified method and finite element modelling are used to obtain the ground settlements. It is found from the comparison that the calculated results from the new simplified method and the FE modelling are in good agreement with the measured data.

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Section: Introductionmentioning

confidence: 99%

Development and Verification of a New Simplified Method for Calculating Settlement of a Thick Soil Layer with Nonlinear Compressibility and Creep

Feng

Yin

2020

Int. J. Geomech.

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“…The accuracy of these stresses via prior or empirical approximations of material parameters and source term variability [17] depends on the representations of the elastic moduli and permeability factors [18]. However, a bias toward non-intrusive uncertainty quantification methods such as Collocation [19,20] and Monte Carlo [21][22][23] methods in many engineering applications [19,20,[24][25][26][27], including poroelasticity [28,29]. These methods only require weighted sums of solutions to a problem at specific points in the random space [19].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Fixed-Point Fixed-Stress Splitting Method for Linear Poroelasticity

2019

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Efficient and accurate poroelasticity models are critical in modeling geophysical problems such as oil exploration, gas-hydrate detection, and hydrogeology. We propose an efficient operator splitting method for Biot’s model of linear poroelasticity based on fixed-point iteration and constrained stress. In this method, we eliminate the constraint on time step via combining our fixed-point approach with a physics-based restraint between iterations. Three different cases are considered to demonstrate the stability and consistency of the method for constant and variable parameters. The results are validated against the results from the fully coupled approach. In case I, a single iteration is used for continuous coefficients. The relative error decreases with an increase in time. In case II, material coefficients are assumed to be linear. In the single iteration approach, the relative error grows significantly to 40% before rapidly decaying to zero. This is an artifact of the approximate solutions approaching the asymptotic solution. The error in the multiple iterations oscillates within 10 − 6 before decaying to the asymptotic solution. Nine iterations per time step are enough to achieve the relative error close to 10 − 7 . In the last case, the hybrid method with multiple iterations requires approximately 16 iterations to make the relative error 5 × 10 − 6 .

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“…Biot [3] further studied the interaction between the dissipation of excess pore pressures and the deformation of the soil skeleton and introduced a coupled consolidation theory. Since then, Biot's consolidation theory and its modifications have been used extensively, which has made more precise analyses much more possible [4][5][6][7]. It can be seen from these studies that Darcy's flow law, which assumes a linear correlation between the flow and hydraulic gradient, has been commonly used for its simplicity.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of Biot’s Consolidation with a Coupled Nonlinear Flow Model

Deng

Liu

Zheng

et al. 2016

Mathematical Problems in Engineering

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A nonlinear flow relationship, which assumes that the fluid flow in the soil skeleton obeys the Hansbo non-Darcian flow and that the coefficient of permeability changes with void ratio, was incorporated into Biot’s general consolidation theory for a consolidation simulation of normally consolidated soft ground with or without vertical drains. The governing equations with the coupled nonlinear flow model were presented first for the force equilibrium condition and then for the continuity condition. Based on the weighted residual method, the finite element (FE) formulations were then derived, and an existing FE program was modified accordingly to take the nonlinear flow model into consideration. Comparative analyses using established theoretical solutions and numerical solutions were completed, and the results were satisfactory. On this basis, we investigated the effect of the coupled nonlinear flow on consolidation development.

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Non-linear analysis of the consolidation of an elastic saturated soil with incompressible fluid and variable permeability by FEM

Cited by 7 publications

References 17 publications

Development and Verification of a New Simplified Method for Calculating Settlement of a Thick Soil Layer with Nonlinear Compressibility and Creep

Development and Verification of a New Simplified Method for Calculating Settlement of a Thick Soil Layer with Nonlinear Compressibility and Creep

Hybrid Fixed-Point Fixed-Stress Splitting Method for Linear Poroelasticity

Finite Element Analysis of Biot’s Consolidation with a Coupled Nonlinear Flow Model

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