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垂直地震剖面的波动方程有限差分模拟与偏移 被引量:3

WAVE EQUATION MODELLING AND MIGRATION FOR VSP BY FINITE DIFFERENCE METHOD
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摘要 有限差分法是在地球物理中被广泛采用的一种数值计算方法。它具有计算速度快,所需内存较小等优点,是一种有效且有广泛应用前景的方法。本文应用有限差分法正、反向分别求解波动方程,以模拟井中接收到的波的传播过程,并对井中记录进行偏移归位。用此方法可模拟各种横向变化的构造。方法中所采用的边界条件很好地模拟了人工边界,偏移成像条件得到了正确确定°若干计算例子表明,本方法成功地模拟了半无限非均匀介质中波的传播过程,偏移方法具有通用性强、计算成本低等优点。 As we geophysicists all know, the Definite Difference Method is a numerical method widely used in geophysics.Its advantages embody in fast computation, taking less space in memory etc, so positively geophysicists will find it efficient and wide in applicability. For the purpsose of modelling the process while the wave received from downhole propagates and migrating the log recorded the log from dowphole, the wave equation is used by the author in quest of the solution for wave equation. By utilizing this approach, all kinds of lateral variation cam be modelled on . The boundary condition adopted in this recommended tech -nique can model the artificial boundary perfectly and hence The restrictions of imaging is p -roved appropriately stipulated. Several computation examples show that the method being discussed in the paper. The wave propagation process in semi-infinite homogeneous medium has been successfully modelled on. Moreover, the migration method does have the advantages, such as the wide applicability and its cost-effectiveness as well.
作者 朱金明
出处 《石油物探》 EI CSCD 北大核心 1990年第2期40-48,共9页 Geophysical Prospecting For Petroleum
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