TY - JOUR
T1 - Similarity Solution for the Synchronous Grouting of Shield Tunnel Under the Vertical Non-Axisymmetric Displacement Boundary Condition
AU - Zou , Jinfeng
AU - Zuo , Songqing
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 205
EP - 232
PY - 2018
DA - 2018/05
SN - 9
DO - http://doi.org/10.4208/aamm.2016.m1479
UR - https://global-sci.org/intro/article_detail/aamm/12145.html
KW - Vertical non-axisymmetric displacement boundary, stresses and displacements, virtual image technique, cylindrical cavity expansion source, image source, stress harmonic function, shield tunnel, synchronous grouting, maximum grouting pressure.
AB - <p style="text-align: justify;">Similarity solution is investigated for the synchronous grouting of shield
tunnel under the vertical non-axisymmetric displacement boundary condition in the
paper. The synchronous grouting process of shield tunnel was simplified as the cylindrical
expansion problem, which was based on the mechanism between the slurry and
stratum of the synchronous grouting. The stress harmonic function on the horizontal
and vertical ground surfaces is improved. Based on the virtual image technique,
stress function solutions and Boussinesq&#39;s solution, elastic solution under the vertical
non-axisymmetric displacement boundary condition on the vertical surface was proposed
for synchronous grouting problems of shield tunnel. In addition, the maximum
grouting pressure was also obtained to control the vertical displacement of horizontal
ground surface. The validity of the proposed approach was proved by the numerical
method. It can be known from the parameter analysis that larger vertical displacement
of the horizontal ground surface was induced by smaller tunnel depth, smaller tunnel
excavation radius, shorter limb distance, larger expansion pressure and smaller elastic
modulus of soils.</p>