Viscoacoustic waveform inversion of velocity structures in the time domain
Viscoacoustic waveform inversion of velocity structures in the time domain
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DOI：
10.1190/geo2013-0030.1
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发表时间：
2014-05
期刊：
影响因子：
3.3
通讯作者：
J. Bai;D. Yingst;R. Bloor;J. Leveille
中科院分区：
文献类型：
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作者：
J. Bai;D. Yingst;R. Bloor;J. Leveille
摘要由于弹性能转化为热能，地震波在传播过程中受到衰减和分散。衰减效应会降低波形反演得到的速度模型的分辨率，甚至导致反演结果不正确。利用一个由单一标准线性固体组成的粘声模型，我们发现了一个用于速度估计的粘声波形时域反演的理论框架。推导并建立了用于正演模拟的粘声波方程及其伴随方程，以补偿粘声波波形反演中的衰减效应。采用中心网格上的高阶有限差分法对地震波方程进行数值求解，以推断地震波场。给出了满足稳定性条件的有限差分方法。数值算例表明，正演粘声波方程能很好地模拟振幅衰减行为。
ABSTRACTBecause of the conversion of elastic energy into heat, seismic waves are attenuated and dispersed as they propagate. The attenuation effects can reduce the resolution of velocity models obtained from waveform inversion or even cause the inversion to produce incorrect results. Using a viscoacoustic model consisting of a single standard linear solid, we discovered a theoretical framework of viscoacoustic waveform inversion in the time domain for velocity estimation. We derived and found the viscoacoustic wave equations for forward modeling and their adjoint to compensate for the attenuation effects in viscoacoustic waveform inversion. The wave equations were numerically solved by high-order finite-difference methods on centered grids to extrapolate seismic wavefields. The finite-difference methods were implemented satisfying stability conditions, which are also presented. Numerical examples proved that the forward viscoacoustic wave equation can simulate attenuative behaviors very well in amplitude ...