Robust source-independent elastic full-waveform inversion in the time domain

Zhang, Qingchen; Zhou, Hui; Li, Qingqing; Chen, Hanming; Wang, Jie

doi:10.1190/geo2015-0073.1

Cited by 43 publications

(11 citation statements)

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“…(A3) shows that a new source signature can easily be accounted for in FWI by a simple convolution of the computed data with the estimated wavelet correction before forming the residuals d and then propagating the adjoint wavefield for a source that corresponds to the cross-correlation of the wavelet correction with the data residuals. Other interesting alternatives consist in modifying the cost function to make it insensitive to the source wavelet (Choi & Alkhalifah 2011;Beller et al 2015;Zhang et al 2016).…”

Section: A P P E N D I X a : S O U Rc E Wav E L E T I M P L E M E N Tmentioning

confidence: 99%

Lithospheric architecture of the South-Western Alps revealed by multiparameter teleseismic full-waveform inversion

Beller¹,

Monteiller²,

Operto³

et al. 2017

Geophysical Journal International

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The Western Alps, although being intensively investigated, remains elusive whenit comes to determining its lithospheric structure. New inferences on the latter are important for the understanding of processes and mechanisms of orogeny needed to unravel the dynamic evolution of the Alps. This situation led to the deployment of the CIFALPS temporary experiment, conducted to address the lack of seismological data amenable to high-resolution seismic imaging of the crust and the upper mantle. We perform a 3-D isotropic full-waveform inversion (FWI) of nine teleseismic events recorded by the CIFALPS experiment to infer 3-D models of both density and P-and S-wave velocities of the Alpine lithosphere. Here, by FWI is meant the inversion of the full seismograms including phase and amplitude effects within a time window following the first arrival up to a frequency of 0.2 Hz. We show that the application of the FWI at the lithospheric scale is able to generate images of the lithosphere with unprecedented resolution and can furnish a reliable density model of the upper lithosphere. In the shallowest part of the crust, we retrieve the shape of the fast/dense Ivrea body anomaly and detect the low velocities of the Po and SE France sedimentary basins. The geometry of the Ivrea body as revealed by our density model is consistent with the Bouguer anomaly. A sharp Moho transition is followed from the external part (30 km depth) to the internal part of the Alps (70-80 km depth), giving clear evidence of a continental subduction event during the formation of the Alpine Belt. A low-velocity zone in the lower lithosphere of the S-wave velocity model supports the hypothesis of a slab detachment in the western part of the Alps that is followed by asthenospheric upwelling. The application of FWI to teleseismic data helps to fill the gap of resolution between traditional imaging techniques, and enables integrated interpretations of both upper and lower lithospheric structures.

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Section: A P P E N D I X a : S O U Rc E Wav E L E T I M P L E M E N Tmentioning

confidence: 99%

Lithospheric architecture of the South-Western Alps revealed by multiparameter teleseismic full-waveform inversion

Beller¹,

Monteiller²,

Operto³

et al. 2017

Geophysical Journal International

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“…In the time domain, a source‐independent objective function is introduced for acoustic media by Choi and Alkhalifah () and for elastic isotropic models by Zhang et al . ().…”

Section: Introductionmentioning

confidence: 97%

“…Their synthetic test for microseismic and crosswell data from a layered isotropic viscoelastic medium shows that the best inversion results are obtained with the convolution-based objective function. In the time domain, a source-independent objective function is introduced for acoustic media by Choi and Alkhalifah (2011) and for elastic isotropic models by Zhang et al (2016).…”

Section: Introductionmentioning

confidence: 99%

Source‐independent waveform inversion for attenuation estimation in anisotropic media

Bai

Tsvankin

2019

Geophysical Prospecting

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In previous publications, we presented a waveform‐inversion algorithm for attenuation analysis in heterogeneous anisotropic media. However, waveform inversion requires an accurate estimate of the source wavelet, which is often difficult to obtain from field data. To address this problem, here we adopt a source‐independent waveform‐inversion algorithm that obviates the need for joint estimation of the source signal and attenuation coefficients. The key operations in that algorithm are the convolutions (1) of the observed wavefield with a reference trace from the modelled data and (2) of the modelled wavefield with a reference trace from the observed data. The influence of the source signature on attenuation estimation is mitigated by defining the objective function as the ℓ2‐norm of the difference between the two convolved data sets. The inversion gradients for the medium parameters are similar to those for conventional waveform‐inversion techniques, with the exception of the adjoint sources computed by convolution and cross‐correlation operations. To make the source‐independent inversion methodology more stable in the presence of velocity errors, we combine it with the local‐similarity technique. The proposed algorithm is validated using transmission tests for a homogeneous transversely isotropic model with a vertical symmetry axis that contains a Gaussian anomaly in the shear‐wave vertical attenuation coefficient. Then the method is applied to the inversion of reflection data for a modified transversely isotropic model from Hess. It should be noted that due to the increased nonlinearity of the inverse problem, the source‐independent algorithm requires a more accurate initial model to obtain inversion results comparable to those produced by conventional waveform inversion with the actual wavelet.

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“…To alleviate the source wavelet effect on FWI, some source-independent FWI algorithms were developed [2,4,5,8,[25][26][27]. In these methods, they used data convolved with or deconvolved by an optimized reference trace to construct a misfit function, and the influence of an inaccurate source wavelet on FWI can be partially suppressed.…”

Section: Introductionmentioning

confidence: 99%

Source-IndependentAmplitude-SemblanceFull-Waveform InversionusingaHybridTime-andFrequency-Domain Approach

sci¹

2020

CiCP

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Full-waveform inversion is a promising tool to produce accurate and highresolution subsurface models. Conventional full-waveform inversion requires an accurate estimation of the source wavelet, and its computational cost is high. We develop a novel source-independent full-waveform inversion method using a hybrid time-and frequency-domain scheme to avoid the requirement of source wavelet estimation and to reduce the computational cost. We employ an amplitude-semblance objective function to not only effectively remove the source wavelet effect on full-waveform inversion, but also to eliminate the impact of the inconsistency of source wavelets among different shot gathers on full-waveform inversion. To reduce the high computational cost of full-waveform inversion in the time domain, we implement our new algorithm using a hybrid time-and frequency-domain approach. The forward and backward wave propagation operations are conducted in the time domain, while the frequencydomain wavefields are obtained during modeling using the discrete-time Fourier transform. The inversion process is conducted in the frequency domain for selected frequencies. We verify our method using synthetic seismic data for the Marmousi model. The results demonstrate that our novel source-independent full-waveform inversion produces accurate velocity models even if the source signature is incorrect. In addition, our method can significantly reduce the computational time using the hybrid timeand frequency-domain approach compared to the conventional full-waveform inversion in the time domain.

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Robust source-independent elastic full-waveform inversion in the time domain

Cited by 43 publications

References 50 publications

Lithospheric architecture of the South-Western Alps revealed by multiparameter teleseismic full-waveform inversion

Lithospheric architecture of the South-Western Alps revealed by multiparameter teleseismic full-waveform inversion

Source‐independent waveform inversion for attenuation estimation in anisotropic media

Source-IndependentAmplitude-SemblanceFull-Waveform InversionusingaHybridTime-andFrequency-Domain Approach

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