Adaptive finite difference for seismic wavefield modelling in acoustic media

Yao, Gang; Wu, Di; Debens, H.

doi:10.1038/srep30302

Cited by 42 publications

(9 citation statements)

References 23 publications

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“…The spatial interpolation step used in this method keeps the added computational cost to a minimum, by only using values which are already required to compute the derivatives of and . Further improvements in computational speed can be achieved by using adaptive scheme approaches 23 . Alternatively, Eq.…”

Section: Discussionmentioning

confidence: 99%

A non-reflecting wave equation through directional wave-field suppression and its finite difference implementation

Schaeken

Hoogerbrugge

Verschuur

2022

Sci Rep

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The acoustic wave equation describes wave propagation directly from basic physical laws, even in heterogeneous acoustic media. When numerically simulating waves with the wave equation, contrasts in the medium parameters automatically generate all scattering effects. For some applications - such as propagation analysis or certain wave-equation based imaging techniques - it is desirable to suppress these reflections, as we are only interested in the transmitted wave-field. To achieve this, a modification to the constitutive relations is proposed, yielding an extra term that suppresses waves with reference to a preferred direction. The scale-factor $$\alpha$$ α of this extra term can either be interpreted as a penetration depth or as a typical decay time. This modified theory is implemented using a staggered-grid, time-domain finite difference scheme, where the acoustic Poynting-vector is used to estimate the local propagation direction of the wave-field. The method was successfully used to suppress reflections in media with bone tissue (medical ultrasound) and geophysical subsurface structures, while introducing only minor perturbations to the transmitted wave-field and a small increase in computation time.

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Section: Discussionmentioning

confidence: 99%

A non-reflecting wave equation through directional wave-field suppression and its finite difference implementation

Schaeken

Hoogerbrugge

Verschuur

2022

Sci Rep

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“…The fundamental theory of this method was proposed by Luo and Schuster in 1991. Its basic procedure includes: firstly, get simulated data (Yao et al 2016) by solving acoustic wave equation and work out a kind of pseudo-residual data via a link function which relates the simulated data and the observed data; secondly, we are supposed to minimize the pseudo-residual data with the classical full-waveform inversion engine (Yao and Wu 2017;Li et al 2020;Liu et al 2020).…”

Section: Building Complex Near-surface Velocity Models Utilizing Both the Travel Time And Waveform Of First Arrival Wavesmentioning

confidence: 99%

Active source seismic imaging on near-surface granite body: case study of siting a geological disposal repository for high-level radioactive nuclear waste

et al. 2021

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In order to research whether it is suitable to set a geological disposal repository for high-level radioactive nuclear waste into one target granite body, two active source seismic profiles were arranged near a small town named Tamusu, Western China. The study area is with complex surface conditions, thus the seismic exploration encountered a variettraveltimey of technical difficulties such as crossing obstacles, de-noising harmful scattered waves, and building complex near-surface velocity models. In order to address those problems, techniques including cross-obstacle seismic geometry design, angle-domain harmful scattered noise removal, and an acoustic wave equation-based inversion method jointly utilizing both the and waveform of first arrival waves were adopted. The final seismic images clearly exhibit the target rock’s unconformable contact boundary and its top interface beneath the sedimentary and weathered layers. On this basis, it could be confirmed that the target rock is not thin or has been transported by geological process from somewhere else, but a native and massive rock. There are a few small size fractures whose space distribution could be revealed by seismic images within the rock. The fractures should be kept away. Based on current research, it could be considered that active source seismic exploration is demanded during the sitting process of the geological disposal repository for nuclear waste. The seismic acquisition and processing techniques proposed in the present paper would offer a good reference value for similar researches in the future.

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“…While, to the best of the authors' knowledge, the approach proposed here is new, previous efforts at developing adaptive finite difference stencils have been made. In [6], an adaptive stencil was proposed that tailors to solvers of the second order wave equation with a wavelet source term. The target application is seismic wave fields with a band limited source.…”

Section: Introductionmentioning

confidence: 99%