One‐Dimensional Consolidation With Three‐Dimensional Flow for Time‐Dependent Loading

Rao, Kotha K.; Raju, M. V. R.

doi:10.1061/(asce)0733-9410(1990)116:10(1576)

Cited by 4 publications

(2 citation statements)

References 2 publications

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“…• Lekha et al (1998) Schiffman (1959) and Kurma Rao & Vijaya Rama Raju (1990). The Carrillo (1942) approach was applied by Olson (1977) to approximately combine radial and vertical flows.…”

Section: Ignoredmentioning

confidence: 99%

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An analytical solution for consolidation with vertical drains under multi-ramp loading

Gan

Zheng

et al. 2015

Géotechnique

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Various analytical solutions have been proposed for a unit-cell consolidation with a vertical drain under surcharge loading. These solutions involve different assumptions to address various aspects of consolidation. There is a lack of generalised solution for analysing consolidation of soil assisted by a vertical drain under various loading conditions. This paper presents a simplified solution for consolidation under multi-ramp loading. Generalised governing equations of equal-strain consolidation are solved. Simultaneous radial and vertical flow conditions, as well as the combined effects of drain resistance and smear, are taken into account fully. An increase in total stress due to multi-ramp loading is reasonably modelled as a function of both time and depth. An analytical solution to calculate excess pore-water pressure at any arbitrary point in soil is derived by using the method of separation of variables. The conventional definition of the degree of consolidation is given in terms of the dissipation of excess pore-water pressure as a result of the maximum increase in total stress in soil. This definition is interpreted in relation to the ultimate ground surface settlement due to surcharge preloading. Its validity and accuracy are verified by comparing the special cases of the proposed solution with two available analytical solutions. The proposed solution is also validated by a welldocumented case history with settlement and pore-water pressure measurements. Reasonably good agreement is obtained. A new degree of dissipation is defined in terms of the dissipation of excess porewater pressure as a result of currently induced increase in total stress in soil. By using this definition, an equation is proposed to estimate the gain in undrained strength of soil due to consolidation for assessing the stability of surcharge fills more effectively and correctly. The loading path over time and the compressibility of smeared soil are shown to have a potentially important influence on the degree of consolidation and the degree of dissipation.

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Section: Ignoredmentioning

confidence: 99%

“…All solutions were derived from simplified governing equations, as shown in the second column of Table 1. These equations were established Schiffman (1959); modified by Kurma Rao & Vijaya Rama Raju (1990) k…”

Section: Introductionmentioning

confidence: 99%

An analytical solution for consolidation with vertical drains under multi-ramp loading

Gan

Zheng

et al. 2015

Géotechnique

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Consolidation by vertical drains under time-dependent loading

Tang

Onitsuka

2000

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

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SUMMARYA solution for the consolidation by vertical drains under time-dependent loading is presented in this paper. Considering the well resistance and the smear action, the simultaneous basic partial di!erential equations of the consolidation by vertical drains are obtained for the arbitrary loading method. However, the impulse function method cannot be directly applied to obtain the solution. The partial di!erential equations and the solution conditions that satisfy the impulse function method are obtained after some mathematical processing. The solution for the consolidation by vertical drains under time-dependent loading is obtained by virtue of the impulse function method and the solution under instantaneous loading. The solutions under single ramp loading and multi-ramp loading are obtained and the feasibility of Carrillo's method under time-dependent loading is discussed. Further, the characteristics of the consolidation by vertical drains under instantaneous loading and time-dependent loading are discussed.

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1D Consolidation of Silty Clay Subject to Different Ramp Loadings

Roy¹,

Mukherjee²

2022

Lecture Notes in Civil Engineering

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One‐Dimensional Consolidation With Three‐Dimensional Flow for Time‐Dependent Loading

Cited by 4 publications

References 2 publications

An analytical solution for consolidation with vertical drains under multi-ramp loading

An analytical solution for consolidation with vertical drains under multi-ramp loading

Consolidation by vertical drains under time-dependent loading

1D Consolidation of Silty Clay Subject to Different Ramp Loadings

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