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Anelastic sensitivity kernels with parsimonious storage for adjoint tomography and full waveform inversion

机译:具有简约存储功能的非敏感灵敏度内核,用于伴随层析成像和全波形反演

摘要

We introduce a technique to compute exact anelastic sensitivity kernels in the time domain using parsimonious disk storage. The method is based on a reordering of the time loop of time-domain forward/adjoint wave propagation solvers combined with the use of a memory buffer. It avoids instabilities that occur when time-reversing dissipative wave propagation simulations. The total number of required time steps is unchanged compared to usual acoustic or elastic approaches. The cost is reduced by a factor of 4/3 compared to the case in which anelasticity is partially accounted for by accommodating the effects of physical dispersion. We validate our technique by performing a test in which we compare the Kα sensitivity kernel to the exact kernel obtained by saving the entire forward calculation. This benchmark confirms that our approach is also exact. We illustrate the importance of including full attenuation in the calculation of sensitivity kernels by showing significant differences with physical-dispersion-only kernels.
机译:我们介绍了一种使用简约磁盘存储在时域中计算精确的无弹性灵敏度内核的技术。该方法基于对时域前向/伴随波传播求解器的时间循环的重新排序,并结合了存储缓冲区的使用。它避免了时间反向耗散波传播仿真时发生的不稳定性。与通常的声学或弹性方法相比,所需时间步长的总数没有变化。与通过适应物理色散的影响部分解决了无弹性的情况相比,成本降低了4/3倍。我们通过执行一项测试来验证我们的技术,在该测试中,我们将Kα灵敏度内核与通过保存整个前向计算获得的精确内核进行比较。此基准确认我们的方法也是正确的。我们通过显示与仅物理分散的内核之间的显着差异,说明了在灵敏度内核的计算中包括完全衰减的重要性。

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