Analysis of Grout Diffusion of Postgrouting Pile Considering the Time-Dependent Behavior of Grout Viscosity
Publication: International Journal of Geomechanics
Volume 21, Issue 11
Abstract
To get an accurate bearing capacity of a postgrouting pile, the range of grout diffusion should be considered in practice. Considering the time-dependent behavior of power-law cement grout viscosity, calculation methods are proposed to determine the diffusion radius and the climbing height of the grout. Moreover, an iterative calculation method is established to compute the climbing height of the grout along a single pile embedded in layered soils. Four cases reported in the literature are used to demonstrate the effectiveness and accuracy of the proposed calculation methods. The calculation results show that the computed grout diffusion radius and climbing height of the grout are in good agreement with the measured value. For practical purposes, to get an accurate prediction on the bearing capacity of postgrouting pile, the time-dependent behavior of grout viscosity should be considered.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (Nos. 51778345, 52078278, and 51808359), the Shandong Provincial Natural Science Foundation for Distinguished Young Scholars (No. JQ201811), the Key Research and Development Foundation of Shandong Province of China (No. 2019GSF109006), and the program of Qilu Young Scholars of Shandong University. Great appreciation is due to the editorial board and the reviewers of this paper.
Notation
The following symbols are used in this paper:
- A
- hemisphere area;
- c
- consistency coefficient of grout;
- h
- climbing height of the grout;
- hg
- height of the pressure water column;
- K
- permeability of the injected soil;
- K0
- coefficient of the earth pressure at rest;
- k
- time-varying coefficient of the grout;
- L
- length of the pile;
- l0
- radius of the grouting pipe;
- l1
- diffusion radius;
- n
- rheological index of the grout;
- PD
- grouting pressure at the pile end;
- p0
- grouting pressure;
- p1
- water pressure at the grouting point;
- Q1
- grouting volume of the hemispherical model;
- Q2
- grouting volume of the climbing height;
- qd
- rate of flow through capillary;
- qc
- flow rate of the climbing height of the grout;
- r0
- capillary radius;
- r1
- pile radius;
- Τ
- shear stress of the grout;
- t
- grouting time;
- u
- thickness of the circular pulp vein;
- V
- flow velocity in the soil layer;
- v
- flow velocity in the tube;
- w
- water content of the soil;
- γ
- shear rate of the grout;
- γm
- average unit weight of the soil above the climbing height of the grout;
- γs
- soil particle weight;
- γ1
- natural gravity of the soil;
- ρ
- density of water; and
- ϕ
- porosity of the injected soil layer.
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Received: Nov 24, 2020
Accepted: May 13, 2021
Published online: Aug 25, 2021
Published in print: Nov 1, 2021
Discussion open until: Jan 25, 2022
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