摘要
推导了二阶改进Higdon吸收边界条件 .利用空间上具有四阶精度、时间上具有二阶精度的中心差分方法 ,数值模拟了几种复杂井眼条件下的波场 .给出了正交各向异性介质地层条件和椭圆井眼条件下波场模拟的结果 .考查并分析了单极子源和偶极子源条件下的波场特性 ,所得结论与弹性波传播理论一致 .通过计算表明 ,利用改进的Hig don吸收边界条件 ,声波测井三维模拟程序可用于复杂井眼各向异性地层条件的波场传播模拟 .
The improved Higdon absorbing boundary condition was derived in this paper. Various borehole and formation conditions were simulated using the fourth order accuracy in space and second order accuracy in time centered finite difference method. The numerical simulate result of orthorhombic medium formation and elliptic borehole conditions are presented. The wave field of monopole and dipole source are simulated and analysed, which agree well with the theory of elastic wave propagation.It indicates that with the improved Higdon absorbing boundary condition , the three dimensional program on acoustic log can be used to simulate the wave field of complex borehole conditions.
出处
《地球物理学进展》
CSCD
2003年第2期348-352,共5页
Progress in Geophysics
基金
石油天然气集团中青年创新基金开放项目 ( 2 0 0 2CXKF- 4) .
关键词
吸收边界条件
三维有限差分
弹性波传播
数值模拟
absorbing boundary condition, 3D finite difference,elastic wave propagation, numerical analysis
