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Multi-axial unsplit frequency-shifted perfectly matched layer for displacement-based anisotropic wave simulation in infinite domain

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Earthquake Engineering and Engineering Vibration 2023年第2期22卷 407-421页

作者： Xie Zhinan Zheng Yonglu paul cristini Zhang Xubin Key Laboratory of Earthquake Engineering and Engineering Vibration Institute of Engineering MechanicsChina Earthquake AdministrationHarbin 150080China Key Laboratory of Earthquake Disaster Mitigation Ministry of Emergency ManagementHarbin 150080China Aix Marseille University CNRSCentrale MarseilleLMAMarseille F-13353France

Multi-axial perfectly matched layer(M-PML),known to have lost the perfect-matching property owing to multi-axial coordinate stretching,has been numerically validated to be long-time stable and it is thus used extensively in linear anisotropic wave simulation and in isotropic cases where the PML becomes *** are concerned with the construction of the M-PML for anisotropic wave simulation based on a second order wave equation implemented with the displacement-based numerical *** address the benefit of the incorrect chain rule,which is implicitly adopted in the previous derivation of the *** show that using the frequency-shifted stretching function improves the absorbing efficiency of the M-PML for near-grazing incident ***,through multi-axial complex-coordinate stretching the second order anisotropic wave equation in a weak form,we derive a time-domain multi-axial unsplit frequency-shifted PML(M-UFSPML)using the frequency-shifted stretching function and the incorrect chain rule.A new approach is provided to reduce the number of memory variables needed for computing convolution terms in the *** obtained M-UFSPML is well suited for implementation with a finite element or the spectral element *** providing several typical examples,we numerically verify the accuracy and long-time stability of the implementation of our M-UFSPML by utilizing the Legendre spectral element method.

关键词： computational seismology seismic anisotropy wave propagation elastodynamics

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Numerical modeling of zero-offset laboratory data in a strong topographic environment: results for a spectral-element method and a discretized Kirchhoff integral method

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Earthquake Science 2014年第4期27卷 391-399页

作者： Nathalie Favretto-cristini Anastasiya Tantsereva paul cristini Bjφrn Ursin Dimitri Komatitsch Arkady M.Aizenberg Laboratory of Mechanics and Acoustics (LMA) CNRS AixMarseille UniversityCentrale Marseille Department of Petroleum Engineering and Applied Geophysics Norwegian University of Science and Technology Institute of Petroleum Geology and Geophysics SB RAS

Abstract Accurate simulation of seismic wave propaga- tion in complex geological structures is of particular interest nowadays. However conventional methods may fail to simulate realistic wavefields in environments with great and rapid structural changes, due for instance to the presence of shadow zones, diffractions and/or edge effects. Different methods, developed to improve seismic model- ing, are typically tested on synthetic configurations against analytical solutions for simple canonical problems or ref- erence methods, or via direct comparison with real data acquired in situ. Such approaches have limitations,especially if the propagation occurs in a complex envi- ronment with strong-contrast reflectors and surface irreg- ularities, as it can be difficult to determine the method which gives the best approximation of the ＂real＂ solution, or to interpret the results obtained without an a priori knowledge of the geologic environment. An alternative approach for seismics consists in comparing the synthetic data with high-quality data collected in laboratory experi- ments under controlled conditions for a known configuration. In contrast with numerical experiments, laboratory data possess many of the characteristics of field data, as real waves propagate through models with no numerical approximations. We thus present a comparison of laboratory-scaled measurements of 3D zero-offset wave reflection of broadband pulses from a strong topographic environment immersed in a water tank with numerical data simulated by means of a spectral-element method and a discretized Kirchhoff integral method. The results indicate a good quantitative fit in terms of time arrivals and acceptable fit in amplitudes for all datasets.

关键词： Numerical modeling . Zero-offset reflection Laboratory experiments Strong topography

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