完全匹配层吸收边界条件的研究  

Study of absorbing boundary condition by perfectly matched layer

作　　者：王永刚[1] 邢文军[1] 谢万学[1] 朱兆林[2] 

机构地区：[1]中国石油大学地球资源与信息学院,山东东营257061 [2]同济大学教育部重点实验室,上海200092

出　　处：《中国石油大学学报（自然科学版）》2007年第1期19-24,共6页Journal of China University of Petroleum(Edition of Natural Science)

基　　金：胜利油田分公司物探研究院资助项目(04370502000245)

摘　　要：边界反射是数值模拟中的一个关键问题。构建完全匹配层(PML)吸收边界条件是消除边界反射的理想方法之一。此方法是在研究区域的边界上加入吸收层,使边界上传入吸收层的波随传播距离按指数规律衰减,不产生任何反射,达到消除边界反射的目的。首先给出了二维声波方程完全匹配层的公式,然后通过地面地震模型和井间地震模型数值算例与常规吸收边界条件进行了比较。结果表明,PML边界条件具有吸收更干净、相位对应关系好且能够吸收各种角度的边界反射等优点,从而验证了完全匹配层吸收效果的优越性。Boundary reflection is an important problem of numerical simulation. Absorbing boundary condition by perfectly matched layer （PML） is one of methods of eliminating reflection. The absorbing layer was added on the boundary of the interesting region, no reflection is produced when wave propagates from boundary of studied region to absorbing layer and wave attenuates exponentially with propagation distance. The formulas of PML for two-dimensional acoustic wave equation were given. Several satisfactory numerical modeling results of surface seismic and crosswell seismic were shown. The results show that PML boundary condition is absorbed clearly, and phase is corresponded with clarity. Superiority of PML boundary condition was validated.

关 键 词：井间地震 完全匹配层(PML) 吸收边界 正演模拟 

分 类 号：P631.4[天文地球—地质矿产勘探]