|
|
|
| Research on Staggered － grid High － order Finite － difference Numerical Simulation of Seismic Wave |
| ZHOU Xue － ming1，LI Qing － chun2，LI Zhi － hua1，MA Ting2 |
| 1． The Third Railway Survey and Design Institute Group Corporation，Tianjin 300251，China; 2． Chang＇an University，Xi＇an，Shanxi 710054，China |
|
|
|
|
Abstract Research purposes: The technology of seismic wave numerical simulation is an important part in the geophysical prospecting． In this paper，based on the elastic － velocity － stress equation，the numerical simulation of seismic wave propagation in isotropic media is carried out with staggered － grid high － order finite － difference method， and the perfectly matched layer( PML) is used to absorpt boundary to eliminate the boundary reflection． The result of simulation is rather perfect．
Research conclusions: The results of forward computation and the seismic process of a complex model show the staggered － grid high － order numerical simulation is a rapid and efficient simulation method for seismic wave propagation． This method can be used for the selection of acquisition parameters in seismic exploration and for the optimization of the observation system to improve the quality of the acquisition data and solve the geological problems in railway exploration．
|
|
Received: 19 May 2011
|
|
|
|
|
|
［1］ Virieux，J． SH － wave Propagation in Heterogenerous Media: Velocity － stress Finite － difference Method［J］． Geophysics，1984( 11) : 1933 － 1957．
［2］ Virieux，J． P － SV Wave Propagation in Heterogeneous Media: Velocity － stress Finite － difference Method［J］． Geophysic，1986( 4) : 889 － 901．
［3］ Lavender，A． R． Fourth － order Finite － difference P － SV Seismograms［J］． Geophysics，1988 ( 11 ) : 1425 － 1436．
［4］ Dablain，M． A． The Application of High － order Differnceing to the Scalar Wave Equation ［J ］． Geophysics，1986( 1) : 54 － 66．
［5］ Collino，F． ，Tsogka，C． Application of the Perfectly Matched Absorbing Layer Model to the Linear Elastodynamic Problem in Anisotropic Heterogeneous Media［J］． Geophysics，2001( 1) : 294 － 307．
［6］ 董良国，马在田，曹景忠，等． 一阶弹性波方程交错网格高阶差分解法［J］． 地球物理学报，2000( 3) : 411 －419．
Dong Liangguo，Ma Zaitian，Cao Jingzhong，etc． A Staggered － grid High － order Difference Method of One － order Elastic Wave Equation［J］． Chinese Journal of Geophysics( in Chinese) ，2000( 3) : 411 － 419．
［7］ 董良国，马在田，曹景忠． 一阶弹性波方程交错网格高阶差分解法稳定性研究［J］． 地球物理学报，2000( 6) : 856 － 864．
Dong Liangguo，Ma Zaitian，Cao Jingzhong． A Study on Stablity of the Staggered － grid High － order Difference Method of First － order Elastic Wave Equation ［J］． Chinese Journal of Geophysics ( in Chinese) ，2000( 6) : 856 － 864．
［8］ 周海滨，李志华． 困难地形条件下地震反射在煤矿采空区的技术研究［J］． 铁道工程学报，2010( 2) : 18 －21．
Zhou Haibin，Li Zhihua． Technical Research on the Seismic Reflection in Coal Seam Gob under Difficult Terrain Condition［J］． Journal of Railway Engineering Society，2010( 2) : 18 － 21．
［9］ 李志华，朱旭东． 复杂地质隧道的综合物探技术［J］． 铁道工程学报，2008( 8) : 58 －61．
Li Zhihua，Zhu Xudong． The Application of Integrated Geophysical Exploration Technology in the Tunnel Under the Complicated Geological Conditions ［J］． Journal of Railway Engineering Society，2008( 8) : 58 － 61．
［10］ 裴正林，牟永光． 非均匀介质地震波传播交错网格高阶有限差分法模拟［J］． 石油大学学报( 自然科学版) ，2003 ( 6) : 17 －21
Pei Zhenglin，Mou Yongguang． Staggered － grid High － order Finit － dfference Modeling for Seismic Propagation in HeterogEneous Media［J］． Journal of the Unversity of Petroleum，China，2003( 6) : 17 － 21．
［11］ 王守东，声波方程完全匹层吸收边界［J］． 石油地球物理勘探，2003( 1) : 31 －34
Wang Shoudong． Perfectly Matched Layer Absorbing Condition for Acoustic Equation［J］． Oil Geophysical Prospecting，2003( 1) : 31 － 34
|
|
|
|
2011, Vol. 28 
