Analytical solutions of one-dimensional large strain consolidation of saturated and homogeneous clays

Xie, Kang; Leo, Chin Jian

doi:10.1016/j.compgeo.2004.02.006

Cited by 88 publications

(59 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As shown in Figure 2, suppose a soft clay layer consolidates subjected to a load, q u ; applied on the top surface of a clay layer of thickness, H. The bottom and top surfaces of this clay layer are impervious and pervious, respectively. This problem was stated in the form of the following differential equation [14]: …”

Section: Resultsmentioning

confidence: 99%

“…A one-dimensional large strain consolidation problem [14] is introduced to test Equation (19). If numerical results provided by Equation (19) cannot be precise enough, it can be expected that a direct back analysis done with it will yield bad results.…”

Section: Resultsmentioning

confidence: 99%

“…Further derivation of analytical solutions of the consolidation settlement and averaged degree of consolidation can be seen in the previous paper [14] and they are not repeated here. …”

Section: Direct Back Analysis By Mplg Methods and Bayesian Statisticsmentioning

confidence: 98%

“…Next, the Petrov-Galerkin method is adopted for simplifying Equation (14). The test function, e, are not approximated by some specific combination of trial function, n: Besides, the test function, n; may not vanish on the boundary, G se : Imposing Equation (12d) on Equation (14) gives…”

Section: Time-dependent Mls Approximationmentioning

confidence: 99%

See 3 more Smart Citations

Direct back analysis by the meshless local Petrov-Galerkin method and Bayesian statistics

Sheu

2006

Int. J. Numer. Anal. Meth. Geomech.

View full text Add to dashboard Cite

SUMMARYThis study presents a preliminary development of a direct back analysis procedure by the meshless local Petrov-Galerkin (MLPG) method and Bayesian statistics and the application of resulting procedure to characterize soil properties using laboratory results. As compared to direct back analyses that are based on the finite element method (FEM), it is intended to show that MLPG-based direct back analyses may be more suitable for some kinds of characterization problems; for example, involving a complex subsurface stratification or the characterization of soil properties of just an inclusion of a soil profile.The existing MLPG method is first slightly modified to analyse time-dependent problems. Using the resulting method, quantities to be characterized are evaluated so that they give numerical results as close to measured data as possible. The Akaike information criterion is introduced for simplifying the evaluation.A one-dimensional finite strain consolidation problem is introduced to do an error analysis for prediction by the proposed MLPG method. Another example illustrates experiences of performing an MLPG-based direct back analysis. Comparison of MLPG-based and FEM-based direct back analyses is taken.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

“…Further derivation of analytical solutions of the consolidation settlement and averaged degree of consolidation can be seen in the previous paper [14] and they are not repeated here. …”

Section: Direct Back Analysis By Mplg Methods and Bayesian Statisticsmentioning

confidence: 98%

Section: Time-dependent Mls Approximationmentioning

confidence: 99%

See 2 more Smart Citations

Direct back analysis by the meshless local Petrov-Galerkin method and Bayesian statistics

Sheu

2006

Int. J. Numer. Anal. Meth. Geomech.

View full text Add to dashboard Cite

show abstract

“…Since the compressibility and permeability of soil are the key factors controlling the consolidation rate of soil, many studies on consolidation theory considering nonhomogeneous and nonlinear properties of soil have been made to overcome the deficiency existed in Terzaghi's consolidation theory [1][2][3][4][5][6][7][8][9][10]. However, there is rare study to research on the consolidation theory taking into account the influence of loading history of soil.…”

Section: Introductionmentioning

confidence: 99%

One-dimensional consolidation of over-consolidated soil under time-dependent loading

Xie

Wang

Chen

et al. 2008

Front. Archit. Civ. Eng. China

View full text Add to dashboard Cite

The problem of one-dimensional consolidation of over-consolidated saturated soil under time-dependent loading was studied based on semi-analytical method. The relevant computer code was developed by FORTRAN programming, and one-dimensional consolidation behavior of over-consolidated soil was investigated. It is shown that, unlike this described by traditional Terzaghi's consolidation theory, the rate of excess pore water pressure dissipation is different from that of settlement developing. The magnitude of load and that of pre-consolidation pressure as well as the loading rate has all significant influence on consolidation. With the increasing of pre-consolidation pressure and loading rate, the rate of consolidation increases correspondingly. However, an increase in load will slow down the consolidation rate.

show abstract

An analytical method to estimate groundwater depletion of an aquitard due to variable drawdowns in adjacent aquifers

Xiao

et al. 2022

Preprint

View full text Add to dashboard Cite

Computing aquitard depletion, which is often overlooked, is of great significance for the assessment of groundwater resources and land subsidence. The issue is viewed as troublesome because of the additional computational burden, the poorly known hydrogeological parameters of the aquitard, and the lack of drawdown history in pumped aquifers. In this study, an analytical solution is derived to describe the drawdown variation in a nonlinear-consolidated aquitard under the condition of variable drawdowns in adjacent aquifers. Based on the analytical solution, we study the characteristics of groundwater dynamics and water balance under the conditions of linearly increasing drawdown of aquifers in adjacent aquifers. In addition, we put forward a method to calculate the depletion and hydrogeological parameters of an aquitard corresponding to variable drawdowns in adjacent aquifers, applicable even when historical drawdown data are lacking. The accuracy of the method is generally very good, but results improve when the drawdown history of pumped aquifers is divided into more periods for estimation. Under the condition of linear drawdown in adjacent aquifers, groundwater depletion and maximum water release rate of the aquitard increases with increasing compression index, coefficient of consolidation, aquitard thickness, rate of drawdown change in the adjacent aquifer, while decreasing with initial void ratio, and initial effective stress. The proposed approach is demonstrated at a field site in Shanghai City of China, and it would help for the effective management of groundwater resources and estimation of the global transfer from groundwater to surface water.

show abstract

Analytical solutions of one-dimensional large strain consolidation of saturated and homogeneous clays

Cited by 88 publications

References 11 publications

Direct back analysis by the meshless local Petrov-Galerkin method and Bayesian statistics

Direct back analysis by the meshless local Petrov-Galerkin method and Bayesian statistics

One-dimensional consolidation of over-consolidated soil under time-dependent loading

An analytical method to estimate groundwater depletion of an aquitard due to variable drawdowns in adjacent aquifers

Contact Info

Product

Resources

About