Advertisement

Acta Seismologica Sinica

, Volume 14, Issue 2, pp 176–195 | Cite as

Scattering of plane P waves by circular-arc layered alluvial valleys: An analytical solution

  • Liang Jian-wen 
  • Yan Lin-jun 
  • Vincent W. Lee
Article

Abstract

An analytical solution for scattering of plane P waves by circular-arc layered alluvial valleys was derived by Fourier-Bessel series expansion technique, and the solution was utilized to analyze the effects of alluvial sequence and their relative stiffness on the scattering of incident waves.

Key words

scattering plane P waves circular-arc layered alluival valley analytical solution 

CLC number

P315.3 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abramowitz M, Stegun I A. 1972. Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables [M]. New York: Dover Publication, 355–389.Google Scholar
  2. Dravinski M, Mossessian T K. 1987. Scattering of plane harmonic P, SV and Rayleigh waves by dipping layers of arbitrary shape [J]. Bull Seism Soc Amer, 77: 212–235.Google Scholar
  3. Moeen-Vaziri N, Trifunac M D. 1988. Scattering and diffraction of plane P and SV-waves by two-dimensional inhomogeneities [J]. Soil Dynam Earthq Eng, 7: 189–200.CrossRefGoogle Scholar
  4. Pao Y H, Mow C C. 1973. Diffraction of Elastic Waves and Dynamic Stress Concentrations [M]. New York: Crane, Russak and Company, 389–395.Google Scholar
  5. Todorovska M, Lee V W. 1991. Surface motion of shallow circular alluvial valleys for incident plane SH waves: Analytical solution [J]. Soil Dynam Earthq Eng, 4: 192–200.CrossRefGoogle Scholar
  6. Trifunac M D. 1971. Surface motion of a semi-cylindrical alluvial valley for incident plane SH waves [J]. Bull Seism Soc Amer, 61: 1 755–1 770.Google Scholar
  7. Wong H L, Trifunac M D. 1974. Surface motion of a semi-elliptical alluvial valley for incident plane SH waves [J]. Bull Seism Soc Amer, 64: 1 389–1 408.Google Scholar
  8. Yuan X, Liao Z. 1995. Scattering of plane SH waves by a cylindrical alluvial valley of circular-arc cross-section [J]. Earthq Eng Struc Dynam, 24: 1 303–1 313.Google Scholar
  9. ZHOU Gen-shou, WANG Zhi-liang, HAN Qing-yu. 1984. The effects of soft layers on seismic surface responses. Earthquake Resistance of Foundations and Industrial Buildings [M]. Beijing: Seismological Press, 20–30 (in Chinese).Google Scholar

Copyright information

© Acta Seismologica Sinica 2001

Authors and Affiliations

  • Liang Jian-wen 
    • 1
  • Yan Lin-jun 
    • 1
  • Vincent W. Lee
    • 2
  1. 1.Department of Civil EngineeringTianjin UniversityTianjinChina
  2. 2.Department of Civil EngineeringUniversity of Southern CaliforniaLos AngelesU.S.A.

Personalised recommendations