摘要
为了实现三维地震波场成像,从波动理论出发,结合相应的数学近似手段,分别对有限差分法和伪谱法在三维弹性波场中的实现原理进行了分析,并介绍了编程实现的思路。在算例中,首先将Cerjan阻尼吸收边界条件和PML完美匹配层吸收边界条件应用于三维均匀介质模型正演模拟,然后为了进一步验证三维地质情况下正演模拟方法的适用性,使用了三维层状地质体模型进行模拟。通过对三维波场成像的结果分析,可以获取更为全面细致的波场响应特征,并且有助于改进数值成像方法。
According to the inevitable abrupt boundary truncation in numerical simulation,various boundary conditions for eliminating wave field interference and reflection were discussed.In order to realize 3D seismic wave field imaging,the principle of finite difference method and pseudo spectrum method in three-dimensional elastic wave field was analyzed based on wave theory and corresponding mathematical approximation method,and the idea of programming was introduced.In the example,the cerjan damping absorbing boundary condition and PML perfectly matched layer absorbing boundary condition were applied to the forward modeling of three-dimensional homogeneous medium model;then,in order to further verify the applicability of the forward modeling method in three-dimensional geological conditions,the three-dimensional layered geological body model was used for simulation.By analyzing the results of 3D wave field imaging,more comprehensive and detailed wave field response characteristics can be obtained,and it was helpful to improve the numerical imaging method.
作者
王钧
Wang Jun(China University of Mining and Technology(Beijing)School of Earth Science and Surveying and Mapping Engineering,Beijing 100083,China)
出处
《煤炭与化工》
CAS
2020年第11期46-50,共5页
Coal and Chemical Industry
关键词
三维地震
边界条件
有限差分法
伪谱法
成像分析
3D seismic
boundary conditions
finite difference method
pseudospectral method
imaging analysis