近地表二维域sh波输入运动的全波形反演

B. Guidio, C. Jeong
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引用次数: 0

摘要

。需要从有限的地震测量数据估计近地表域的复杂地震输入运动,而不必求助于震源。因此,工程师可以通过使用估计的地震输入来复制地震发生后结构和土壤内的反应,并评估地震对建筑环境的影响。迄今为止,还没有一种可靠的数值方法可以识别由吸波边界条件截断的固体中复杂的地震输入运动。现有方法仅限于大尺度震源反演方法和反褶积方法。为了填补这一空白,提出了一种新的反演建模方法,用于在二维(2D)域中重建复杂的非相干SH波输入运动,该运动被吸波边界条件(WABC)截断,使用偏微分方程(PDE)约束优化方法。在一组数值示例中,WABC的目标动态牵引模拟了地震入射波场。在数学建模和数值实现中采用离散再优化(DTO)方法,并采用有限元法求解状态和伴随问题。数值计算结果表明,所提出的反演算法能够重建入射斜平面波。其次,我们的反演求解器的精度不会受到背景域材料复杂性的影响。最后,当最小化器识别较低频率的牵引力(例如,实际地震)时,它受解多重性的影响较小
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Full-Waveform Inversion of SH-Wave Input Motions in a Near-Surface 2D Domain
. There is a need to estimate complex seismic input motions in a near-surface domain, without resorting to the hypocenter, from restricted seismic measurement data. Thus, engineers can replicate responses within structures and soils after an earthquake occurrence by using the estimated seismic in-puts and evaluate the impact of an earthquake on the built environment. To date, there has been no robust numerical method that can identify complex seismic input motions in a solid, truncated by a wave-absorbing boundary condition. Existing methods are limited to large-scale seismic-source inversion approaches and deconvolution. To fill this gap, a new inversion modeling method is presented for reconstructing complex, incoherent SH wave input motions in a two-dimensional (2D) domain that is truncated by a wave-absorbing boundary condition (WABC), using a partial differential equation (PDE)-constrained optimization method. In a set of numerical examples, targeted, dynamic traction at the WABC mimics seismic incident wavefield. The discretize-then-optimize (DTO) approach is used in the mathematical modeling and numerical implementation, and the finite element method (FEM) is applied to solve state and adjoint problems. The numerical results indicate that the presented inversion algorithm can reconstruct incident, inclined plane waves. Second, the accuracy of our inversion solver is not compromised by the material complexity of a background domain. Lastly, the minimizer suffers less from solution multiplicity when it identifies lower frequency traction (e.g., a realistic seismic
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