An approximate analytical solution for calculating ground surface settlements due to diaphragm walling

Lei, Guo; Sun, H. S.; Ng, Charles Wang Wai

doi:10.1016/j.compgeo.2014.05.002

Cited by 10 publications

(7 citation statements)

References 27 publications

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“…In view of the impact of the construction of new buildings on the displacement of subsoil in the vicinity and the facilities located there [6][7][8][9], it is necessary to determine the impact range of this investment [10][11][12][13][14][15][16][17][18][19][20][21] and then subject the buildings located in the affected area to diagnostics [22,23].…”

Section: Introduction 1backgroundmentioning

confidence: 99%

“…Projecting the zone of impact of the construction of a deeply set building in a compact urban setting and the vertical displacements of the land surface is usually simplified to allow it to be analyzed by 2D numerical models-e.g., [1,4,12,25]. Nevertheless, it is also important to mention that the location of the existing development and the projected building-i.e., the location of the load on the subsoil and its characterization over time in a manner that reflects its actual existence-has a major impact on the prediction of the value and nature (subsidence, uplift) of displacements of the subsoil.…”

Section: Introduction 1backgroundmentioning

confidence: 99%

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The Use of 3D Numerical Modeling in Conceptual Design: A Case Study

Michalak

Przybysz

2021

Energies

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This article describes the construction of a building with four aboveground floors and one underground floor as part of the ongoing development of Warsaw’s city center. A 3D numerical model was developed to reflect the spatial and structural solutions of the new building based on the design documentation with regard to the outcomes of geotechnical tests, the actual phases of work completed, the results of the geodetic measurements carried out in individual phases of the building implementation, and the characteristics of the existing adjacent buildings. The 3D numerical model was calibrated taking into account the results of the geodetic measurements of the benchmarks stabilized on the adjacent buildings. The numerical models of the building were used to analyze a number of multiple-step variants, taking into account the increase in the number of aboveground floors (from 1 to 4) and underground floors (by 1), as well as the increase in the projected area of the underground part compared to the area of the site designated for development. The paper presents the conclusions of our analyses, which may be helpful to others designing buildings in intensively urbanized areas and guide them in selecting the best solution.

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Section: Introduction 1backgroundmentioning

confidence: 99%

Section: Introduction 1backgroundmentioning

confidence: 99%

The Use of 3D Numerical Modeling in Conceptual Design: A Case Study

Michalak

Przybysz

2021

Energies

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“…Based on Mindlin solution, Vaziri 17 proposed a method for solving displacement under uniform load in semi-infinite space. Sun 18 and Lei 19 solved the surface settlement perpendicular to the center line of the trench section and verified it by three-dimensional finite element method, and analyzed the influence of the width, depth and excavation depth of the trench on the surface settlement. At present, the application of Mindlin solution is mostly in the calculation of vertical displacement.…”

Section: Introductionmentioning

confidence: 99%

Mindlin solution on ground deformation caused by the trench excavation during installation of concrete diaphragm wall panels

Gui-chun

2021

Sci Rep

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Concrete diaphragm walls (CDWs) are widely used as support of deep excavation in soft ground in urban areas. Ground deformation occurs during the excavation of trenches for the installation of the CDW panels due to ground stress release. This paper investigates the ground deformation during slurry trenching using Mindlin solution. The pressure of slurry used to protect the trench stability during excavation is simulated as a triangularly distributed load on the trench walls, the soil stress state is solved using Mindlin solution, and the horizontal and vertical ground displacement are obtained through integral transformation of ground strain. The rationality of the solution is verified through comparison between the analytical solution and field measurement. Sensitivity analyses are performed on soil elastic modulus, Poisson's ratio, trench excavation depth and panel length. Simplified formulation is proposed for the prediction of horizontal ground deformation. The impact of excavation stages and adjacent panels on the ground deformation is explored. The study finds that the Mindlin solution is able to provide an approximate solution on the ground deformation during slurry trenching, and the simplified formulation can be used to provide a fast estimate of the horizontal ground movement in engineering practice.

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“…Analytical elasticity solutions play an important role in preliminary predictions and in calibrating any sophisticated numerical schemes that are ultimately used for solving more complex practical problems in geotechnical engineering (Geddes 1966;Ng and Lei 2003;Selvadurai 2007;Lei et al 2014). Many solutions have been proposed for stress in the fields of soil and rock mechanics (Poulos and Davis 1974).…”

Section: Introductionmentioning

confidence: 99%

Vertical stress under vertical pressure by extended Mindlin's equation

Lei

Sun

et al. 2016

JGS Special Publication

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Analytical elasticity solutions provide an efficient means of performing a first approximate analysis in foundation engineering. One of the well-known basic solutions is Mindlin's solution to the stress and displacement induced by a point load at an embedment depth in a half-space. This solution is more superior but less widely used than Boussinesq's solution for a point load at only the boundary of half-space. To promote the applications of Mindlin's solution, its vertical stress equation is integrated to obtain an explicit formula for calculating vertical stresses at any arbitrary point. The stresses are induced by uniformly and triangularly distributed vertical pressure, which is exerted over a rectangular area in the interior of a homogeneous, isotropic, elastic half-space. It shows that the vertical stress decreases as the embedment depth of loaded area increases.

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An approximate analytical solution for calculating ground surface settlements due to diaphragm walling

Cited by 10 publications

References 27 publications

The Use of 3D Numerical Modeling in Conceptual Design: A Case Study

The Use of 3D Numerical Modeling in Conceptual Design: A Case Study

Mindlin solution on ground deformation caused by the trench excavation during installation of concrete diaphragm wall panels

Vertical stress under vertical pressure by extended Mindlin's equation

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