摘要
利用波函数的Fourier-Bessel级数展开法,推导了具有不同深宽比的圆弧状凹陷地形对入射平面SV波二维散射问题的解析解。区别于现有其他解析解,利用柱函数的渐近性质,使得散射波的待定系数得以直接确定,避免了线性方程组的求解以及相应的高频波入射下的数值计算问题,从而拓展了解析解适用的频带范围。通过与已有解析解的比较论证了该解析解的正确性,并在一个较宽的频带范围内研究了圆弧状凹陷地形对入射平面SV波的散射效应。
By representing the wave functions by Fourier-Bessel series,it deducts an analytical solution to the two-dimensional scattering problem of incident plane SV wave by arc-shaped canyon topographies with different depth-to-width ratios. Different from other analytical solutions,the proposed one utilizes the asymptotic properties of cylindrical functions to directly solve out the undetermined coefficients of scattering waves,avoiding the solution of linear equation system and the corresponding numerical issues related to high-frequency incidence,and extending the frequency range in which the analytical solution is valid. By comparing with the previously obtained analytical solutions,the validity of the proposal is proved,and the scattering effects of the arc-shaped canyon topographies on the incident plane SV waves are studied in a broad frequency band.
出处
《中国地震》
CSCD
北大核心
2010年第2期142-155,共14页
Earthquake Research in China
基金
国家自然科学基金项目(50608066)
国家科技支撑计划(2006BAC13B02)资助
关键词
平面SV波
凹陷地形
散射
解析解
场地效应
Plane SV wave Canyon topography Scattering Analytical solution Site effects
