加权方向校正及插值预测吸收边界条件的三维波动方程叠前数值模拟

3-D wave equation prestack numerical simulation using the absorbing boundary condition that needs weighting-directional correction and interpolation prediction

本文在研究Clayton吸收边界条件不足的基础上，给出了三维加权方向校正的Clayton吸收边界条件，并进一步提出了对三维模型角点反射进行衰减处理的插值预测波场法。数值计算表明，改进后的吸收边界条件对边界反射的处理效果，特别是插值预测波场法对边界边线、角点反射的处理效果明显优于Clayton吸收边界条件的处理效果。本文还利用该方法对一个典型的三维地质模型进行了三维波动方程叠前数值模拟，并取得了满意的结果。

The Clayton absorbing boundary condition that underwent 3-D weighting-di-rectional correction is advanced after analysing the disadvantage of original Claytonabsorbing boundary condition; and interpolated wave-field prediction method isused to attenuate some corner reflections of 3-D model. Numerical computationshows that new absorbing boundary condition gives better boundary reflection at-tenuation; and particularly, interpolated wave-field prediction method attenuatesedge and corner reflections much better than Clayton absorbing boundary condi-tion.This technique has been taken to achieve 3-D wave equation prestack numericalsimulation of a typical 3-D geology model, with satisfactory result.