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Adaptive finite difference for seismic wavefield modelling in acoustic media

机译:声介质地震波场建模的自适应有限差分

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Efficient numerical seismic wavefield modelling is a key component of modern seismic imaging techniques, such as reverse-time migration and full-waveform inversion. Finite difference methods are perhaps the most widely used numerical approach for forward modelling, and here we introduce a novel scheme for implementing finite difference by introducing a time-to-space wavelet mapping. Finite difference coefficients are then computed by minimising the difference between the spatial derivatives of the mapped wavelet and the finite difference operator over all propagation angles. Since the coefficients vary adaptively with different velocities and source wavelet bandwidths, the method is capable to maximise the accuracy of the finite difference operator. Numerical examples demonstrate that this method is superior to standard finite difference methods, while comparable to Zhang's optimised finite difference scheme.
机译:高效的数值地震波场建模是诸如逆时偏移和全波形反演等现代地震成像技术的关键组成部分。有限差分法可能是最广泛使用的正向建模数值方法,这里我们介绍一种通过引入时空小波映射来实现有限差分的新颖方案。然后,通过在所有传播角度上最小化映射子波的空间导数和有限差分算子之间的差异来计算有限差分系数。由于系数随速度和源子波带宽的不同而自适应地变化,因此该方法能够最大化有限差分算子的精度。数值算例表明,该方法优于标准的有限差分方法,可与Zhang的优化有限差分方案相比。

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