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Abstract
The problem of a spherical cavity expanded from an initial radius to another cavity in finite soil is investigated in this paper. A similarity transformation technique is used to solve the partial differential equations (PDEs) of spherical cavity expansion, which allows the stress, displacement and pore pressure induced by cavity expansion to be captured. The derived analytical solution is validated by comparing the degenerate solution with published results on cavity expansion in an infinite medium. The present analytical method can conveniently capture the effect of the finite boundary. A simple application to compaction grouting confirms its utility in geotechnical practice.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
The work is supported by the National Natural Science Foundation of China, Grant/Award Number: 51708063, 51420105013 and 51622803; Chongqing Research Program of Basic Research and Frontier Technology, Grant/Award Number: cstc2017jcyjAX0261 and the Fundamental Research Funds for the Central Universities (2018CDQYTM0045).