Wave equation‐based reflection tomography of the 1992 Landers earthquake area

Huang, Xueyuan; Yang, Dinghui; Tong, Ping; Badal, José; Liu, Qinya

doi:10.1002/2016gl067717

Cited by 18 publications

(15 citation statements)

References 32 publications

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“…All the findings regarding seismic P ‐wave velocity heterogeneities reported above are consistent with the features of previous models derived from different types of data, including first‐arrival traveltimes (e.g., Ajala et al., 2019; Allam & Ben‐Zion, 2012; Fang et al., 2016; Share et al., 2019; Tong et al., 2014b), traveltimes of reflected waves (Huang et al., 2016) and ambient noise (e.g., Qiu et al., 2019; Wang et al., 2018; Zigone et al., 2015). The consistence supports the validity of the adjoint‐state traveltime tomography method and the integrated workflow.…”

Section: Application: Tomography Of the 2020 Mw 49 Anza Earthquake Areasupporting

confidence: 88%

Adjoint‐State Traveltime Tomography: Eikonal Equation‐Based Methods and Application to the Anza Area in Southern California

Tong

2021

JGR Solid Earth

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Seismic traveltime tomography is one of the primary and routine techniques to estimate subsurface material properties. It has been contributing significantly to the understanding of heterogeneous structures and dynamic processes in the Earth's interior ever since the pioneer work of Aki and Lee (1976). Various seismic traveltime tomography methods are rooted in different mathematical physical models. In principle, we can categorize them into three major types: Ray-based traveltime tomography, wave equation-based traveltime tomography, and eikonal equation-based traveltime tomography.Ray tracing is the key ingredient for seismic traveltime tomography methods based on ray theory (e.g., Aki & Lee, 1976;Thurber, 1983;Zhao et al., 1992). During the past few decades, plenty of seismic ray tracing techniques have been developed, including the widely used two-point ray tracing methods (e.g.,

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Section: Application: Tomography Of the 2020 Mw 49 Anza Earthquake Areasupporting

confidence: 88%

Adjoint‐State Traveltime Tomography: Eikonal Equation‐Based Methods and Application to the Anza Area in Southern California

Tong

2021

JGR Solid Earth

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“…It is not trivial to extract robust information from this kind of constraint. In practice, these source-receiver pairs are always manually excluded to avoid interference caused by unreliable constraints [3,16]. We will also use this strategy in this study.…”

Section: Selecting Source-receiver Pairs and Picking Seismic Phasesmentioning

confidence: 99%

The Quadratic Wasserstein Metric With Squaring Scaling For Seismic Velocity Inversion

Li¹,

Tang²,

Chen³

et al. 2022

Preprint

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The quadratic Wasserstein metric has shown its power in measuring the difference between probability densities, which benefits optimization objective function with better convexity and is insensitive to data noise. Nevertheless, it is always an important question to make the seismic signals suitable for comparison using the quadratic Wasserstein metric. The squaring scaling is worth exploring since it guarantees the convexity caused by data shift. However, as mentioned in [Commun. Inf. Syst., 2019, 19:95-145], the squaring scaling may lose uniqueness and result in more local minima to the misfit function. In our previous work [J. Comput. Phys., 2018, 373:188-209], the quadratic Wasserstein metric with squaring scaling was successfully applied to the earthquake location problem. But it only discussed the inverse problem with few degrees of freedom. In this work, we will present a more in-depth study on the combination of squaring scaling technique and the quadratic Wasserstein metric. By discarding some inapplicable data, picking seismic phases, and developing a new normalization method, we successfully invert the seismic velocity structure based on the squaring scaling technique and the quadratic Wasserstein metric. The numerical experiments suggest that this newly proposed method is an efficient approach to obtain more accurate inversion results.

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“…Montelli et al, 2004;Hung et al, 2004). The resolutions can be further increased if full wave-equation-based methods are used to invert full or even partial waveform contents (Virieux and Operto, 2009;Huang et al, 2016). However, solving 3D full wave equations is always computationally expensive.…”

Section: Introductionmentioning

confidence: 99%

“…Komatitsch and Tromp, 2002;Fichtner et al, 2009;Tong et al, 2014a;Chai et al, 2017), which also make full waveequation-based seismic inversions applicable in realistic situations (e.g. Tape et al, 2009;Zhu et al, 2012;Huang et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Frozen Gaussian approximation for 3D seismic tomography

2018

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Three-dimensional (3D) wave-equation-based seismic tomography is computationally challenging in large scales and high-frequency regime. In this paper, we apply the frozen Gaussian approximation (FGA) method to compute 3D sensitivity kernels and seismic tomography of high-frequency. Rather than standard ray theory used in seismic inversion (e.g. Kirchhoff migration and Gaussian beam migration), FGA is used to compute the 3D high-frequency sensitivity kernels for travel-time or full waveform inversions. Specifically, we reformulate the equations of the forward and adjoint wavefields for the purpose of convenience to apply FGA, and with this reformulation, one can efficiently compute the Green's functions whose convolutions with source time function produce wavefields needed for the construction of 3D kernels. Moreover, a fast summation method is proposed based on local fast Fourier transform which greatly improves the speed of reconstruction as the last step of FGA algorithm. We apply FGA to both the travel-time adjoint tomography and full waveform inversion (FWI) on synthetic crosswell seismic data with dominant frequencies as high as those of real crosswell data, and confirm again that FWI requires a more sophisticated initial velocity model for the convergence than travel-time adjoint tomography. We also numerically test the accuracy of applying FGA to local earthquake tomography. This study paves the way to directly apply wave-equation-based seismic tomography methods into real data around their dominant frequencies.

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Wave equation‐based reflection tomography of the 1992 Landers earthquake area

Cited by 18 publications

References 32 publications

Adjoint‐State Traveltime Tomography: Eikonal Equation‐Based Methods and Application to the Anza Area in Southern California

Adjoint‐State Traveltime Tomography: Eikonal Equation‐Based Methods and Application to the Anza Area in Southern California

The Quadratic Wasserstein Metric With Squaring Scaling For Seismic Velocity Inversion

Frozen Gaussian approximation for 3D seismic tomography

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