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| Cavity contraction theory and its application to tunnelling |
| YU Haisui, ZHUANG Peizhi*
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| School of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK |
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Abstract Tunnelling and underground excavations involve the removal of soil or rock mass from their initial locations. This process may be accurately modelled by the unloading of a cavity from the in-situ stress state. In the past decades, for the purpose of controlling ground deformation and maintaining tunnel stability, cavity contraction theory had been used to predict ground reaction curves, to estimate ground settlements due to tunnelling and to design tunnel support systems. This paper presented a comprehensive review of analytical cavity contraction solutions for these typical applications. For illustration, a new finite strain analytical solution was derived for the unloading analysis of a cylindrical spherical cavity in non-associated Mohr Coulomb materials with a finite radial extent. This paper would be beneficial for the future development of cavity contraction theory and its application to practical tunnelling problems.
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Received: 12 November 2019
Published: 09 March 2020
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