Propagation of Nonplanar SH Waves Emanating from a Fault Source around a Lined Tunnel

Ning Zhang, Yunfei Zhang, Denghui Dai (), Yu Zhang, Baoyin Sun and Xin Chen
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Ning Zhang: Key Laboratory of Geomechanics and Embankment Engineering of Ministry of Education, Hohai University, Nanjing 210024, China
Yunfei Zhang: Key Laboratory of Geomechanics and Embankment Engineering of Ministry of Education, Hohai University, Nanjing 210024, China
Denghui Dai: Key Laboratory of Geomechanics and Embankment Engineering of Ministry of Education, Hohai University, Nanjing 210024, China
Yu Zhang: Key Laboratory of Geomechanics and Embankment Engineering of Ministry of Education, Hohai University, Nanjing 210024, China
Baoyin Sun: College of Civil and Transportation Engineering, Hohai University, Nanjing 210098, China
Xin Chen: School of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011, China

Sustainability, 2022, vol. 14, issue 16, 1-12

Abstract: An analytical solution is presented for scattering nonplanar SH waves emanating from a fault source using a lined tunnel. The lined tunnel is assumed to be an annular elastic solid in half-space. A simplified circular arc fault model is employed to represent the wave source. By means of the separation of variables method, all wave fields are given in terms of the wave function series with unknown coefficients. Taking advantage of the method of images, the zero-stress boundary condition on the horizontal ground surface is satisfied automatically. By applying Graf’s addition formula, a system of equations for seeking the unknowns is derived by taking advantage of the boundary conditions. The problem of wave scattering is finally solved after seeking solutions for the system of equations through standard matrix techniques. The effects of fault distance, fault curvature, and fault orientation are revealed with numerical results. It is found that the plane waves provide a good approximation to the fault-induced cylindrical waves when the source-receiver distance or fault radius of curvature is larger enough. Fault-induced topographic effects are strongly affected by source orientation.

Keywords: fault-induced nonplanar waves; lined tunnel; separation of variables method; ground motion (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2022
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