Scattering of Subsurface Cylindrical Cavity near Multiple Semi-Cylindrical Alluvial Valleys under Incident SH-Waves

Abstract:

The scattering of subsurface cylindrical cavity near multiple semi-cylindrical alluvial valleys under incident SH waves is studied in this paper by using methods of auxiliary function, complex function multi-polar coordinates. The model is divided into two parts, Domain I is multiple semi-cylindrical alluvial valleys, and Domain Ⅱ is an elastic half space with several subsurface circular cavities near multiple semi-cylindrical alluvial valleys. A series of infinite algebraic equations is then obtained based on the displacement and stress continuity condition on “common boundary” of two parts after constructing the associated displacement and stresses expressions of each part. Numerical examples illustrate that material parameters of semi-cylindrical alluvial valleys have great impact on DSCF around subsurface cavity and DSCF dose not always decrease as wave number increases especially under incident waves with high frequency when the alluvial valleys are “softer”.

• Periodical: Advanced Materials Research (Volumes 374-377)
• Pages: 1285-1290
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.374-377.1285
• Online since: October 2011
• Authors: Hui Wen Wang, Xiao Juan Sun, Zai Lin Yang
• Keywords: Auxiliary Function, Multi-Polar Coordinates, Scattering of SH-Waves, Semi-Cylindrical Alluvial Valleys, Subsurface Circular Cavity

References

[1] Liu Diankui, Lin Hong. Scattering of SH-waves by a shallow buried cylindrical cavity and the ground motion [J]. Explosion and Shock Waves. 2003,23(1):6-12.

[2] Lin Hong, Liu Diankui. Scattering of SH wave around a circular cavity in half space [J]. Earthquake engineering and engineering vibration. 2002, 22(2):9-16.

[3] Qi Hui, Wang Yan, Liu Diankui. Dynamic analysis of shallow- embedded lining structure by incident SH-wave [J]. Earthquake engineering and engineering vibration. 2003,23(3).41-46.

[4] V. W. Lee, S. Chen and I. R. Hsu. Antiplane Diffraction from Canyon Above Subsurface Unlined Tunner. A. S. C. E. Eng. Mech. Div. 1999.

DOI: 10.1061/(asce)0733-9399(1999)125:6(668)

[5] M.D. Trifunac. Surface Motion of a Semi-cylindrical Alluvial Valley for Incident Plane SH Waves. Bulletin of the Seismological Society of America. 1971, 61(6):1755-1770

DOI: 10.1785/bssa0610061755

[6] H.L. Wong, M.D. Trifunac. Surface Motion of a Semi-elliptical Alluvial Valley for Incident Plane SH Waves. Bulletin of the Seismological Society of America. 1974, 64(5):1389-1408

DOI: 10.1785/bssa0640051389

[7] Tordovoska M, Lee V W. Surface Motion of a Shallow Circular Alluvial Valleys for Incident Plane SH Waves: Analytical Solution. Soil Dynam Earthq Eng 1991, 4:192-200

DOI: 10.1016/0267-7261(91)90033-v

[8] Yuan Xiaoming, Liao Zhenpeng.Scattering of Plane SH Waves by a Cylindrical Alluvial Valley of Circular Arc Cross Section. Earthq Eng Struc Dynam 1995, 24:1303-1313

DOI: 10.1002/eqe.4290241002

[9] Yuan Xiaoming; Liao Zhenpeng. Scattering of Plane SH-waves by a Cylindrical Hill of Circular-arc Cross-section. Earthquake Engineering and Engineering Vibration. (1996), 16(2) :1-13.

DOI: 10.1016/0267-7261(94)90011-6

[10] Liu D.K., Gai B.Z. and Tao G. Y. Applications of the Method of Complex Functions to Dynamic Stress Concentrations. Wave Motion. 1982, 4:.293-304

DOI: 10.1016/0165-2125(82)90025-7