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| 瑞雷波数值模拟中的数值频散校正策略及实例分析 | |
| 引用本文： | 丰赟,周竹生,沙椿.瑞雷波数值模拟中的数值频散校正策略及实例分析[J].中南大学学报(自然科学版),2012,43(6):2231-2237. |
| 作者姓名： | 丰赟 周竹生 沙椿 |
| 作者单位： | 1. 中南大学地球科学与信息物理学院,湖南长沙,410083;四川中水成勘院工程勘察有限责任公司,四川成都,610072 2. 中南大学地球科学与信息物理学院,湖南长沙,410083 3. 四川中水成勘院工程勘察有限责任公司,四川成都,610072 |
| 基金项目： | 国家自然科学基金资助项目，湖南省自然科学基金重点资助项目 |
| 摘 要： | 为寻求快速、高精度的瑞雷波数值模拟方法,将常用于流体动力学中的通量校正传输技术(FCT)与交错网格有限差分方法相结合,对浅层各向同性弹性介质进行包括瑞雷面波和体波在内的全波场模拟。模拟结果表明:该方法有效地压制了粗网格条件下的数值频散现象,并保留了真实的波场振荡,特别是层状介质中瑞雷波的频散特征被凸显;在同一精度下,该方法与细化网格方法相比,计算效率提高1.3倍。 |
| 关 键 词： | 瑞雷波 数值模拟 有限差分法 交错网格 数值频散 FCT |
Numerical dispersion correction method and cases analysis in numerical modeling of Rayleigh surface wave |
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| FENG Yun , ZHOU Zhu-sheng , SHA Chun.Numerical dispersion correction method and cases analysis in numerical modeling of Rayleigh surface wave[J].Journal of Central South University:Science and Technology,2012,43(6):2231-2237. | |
| Authors: | FENG Yun ZHOU Zhu-sheng SHA Chun |
| Institution: | 1.School of Geosciences and Info-Physics,Central South University,Changsha 410083,China; 2.Sichuan Hydropower Engineering Investigation Co.Ltd.,Chengdu 610072,China) |
| Abstract: | In order to seek a fast and effective method for wave-field simulation,the flux-corrected transport method which was commonly used in fluid dynamics and the staggered-grid finite difference method were combined,and the whole wave field including Rayleigh surface wave and body wave were simulated by FCT finite difference method.The results show that this method is effective to suppress the numerical frequency dispersion phenomenon by thick grids,but retain the real wave oscillation,and especially the dispersion characteristics of Rayleigh surface wave in the layered mediums can be highlighted.Compared with the thinning grids method,it raises the computing speed by 1.3 times to suppress the dispersion. |
| Keywords: | Rayleigh surface wave numerical modeling finite-difference method staggered-grids numerical dispersion flux-corrected transport |
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