A Nodal Integral Scheme for Acoustic Wavefield Simulation

Kumar, Niteen; Shekar, Bharath; Singh, Suneet

doi:10.1007/s00024-022-03160-3

Cited by 3 publications

(2 citation statements)

References 28 publications

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“…The monochromatic wavefields in equation ( 2) can be computed in the frequency domain (e.g. Kumar et al 2022). However, we use a time-domain finite difference solver implemented using the "Devito" package (Louboutin et al 2019;Luporini et al 2020).…”

Section: ) Mediummentioning

confidence: 99%

Acoustic full waveform inversion for 2-D ambient noise source imaging

Datta¹,

Shekar²,

Kumar³

2023

Preprint

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We present a method for estimating seismic ambient noise sources, by acoustic full waveform inversion of interstation cross-correlations. The method is valid at local scales for laterally heterogeneous media, and ambient noise sources confined to the Earth's surface. Synthetic tests performed using an actual field array geometry, are used to illustrate three unique aspects of our work. First: the method is able to recover noise sources of arbitrary spatial distribution, both within and outside the receiver array, with high fidelity. This holds true for complex velocity models and does not require a good initial guess for inversion, thereby bridging a clear gap in the existing research literature. Second: we analyse the extent of biases in source inversion, that arise due to inaccurate velocity models. Our findings indicate that source inversion using simplified (e.g. homogeneous) velocity models may work reliably when lateral variations in velocity structure are limited to 5 or 10\% in magnitude, but is vitiated by strong variations of 20\% or higher. Finally, our technique is implemented without the adjoint method, which is usually inextricably linked to full waveform inversion. Inversions are performed using source kernels computed for each receiver pair, and this approach is computationally tractable for real-world problems with small aperture seismic arrays.

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Section: ) Mediummentioning

confidence: 99%

Acoustic full waveform inversion for 2-D ambient noise source imaging

Datta¹,

Shekar²,

Kumar³

2023

Preprint

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show abstract

“…The monochromatic wavefields in equation ( 2) can be computed in the frequency domain (e.g. Kumar et al 2022). However, we use a time-domain finite difference solver implemented using "Devito" (Louboutin et al 2019;Luporini et al 2020), a Python package 6 A. Datta, B. Shekar, P.L.…”

Section: ) Mediummentioning

confidence: 99%

Acoustic full waveform inversion for 2-D ambient noise source imaging

Datta

Shekar

Kumar

2023

Geophysical Journal International

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Summary We present a method for estimating seismic ambient noise sources by acoustic full waveform inversion of interstation cross-correlations. The method is valid at local scales for laterally heterogeneous media, and ambient noise sources confined to the Earth’s surface. Synthetic tests performed using an actual field array geometry, are used to illustrate three unique aspects of our work. First: the method is able to recover noise sources of arbitrary spatial distribution, both within and outside the receiver array, with high fidelity. This holds true for complex velocity models and does not require a good initial guess for inversion, thereby addressing an outstanding issue in the existing research literature. Second: we analyse the extent of biases in source inversion that arise due to inaccurate velocity models. Our findings indicate that source inversion using simplified (e.g. homogeneous) velocity models may work reliably when lateral variations in velocity structure are limited to 5 or 10% in magnitude, but is vitiated by strong variations of 20% or higher, wherein the effect of strong scattering and/or phase distortions become significant. Finally, our technique is implemented without the adjoint method, which is usually inextricably linked to full waveform inversion. Inversions are performed using source kernels computed for each receiver pair, and this approach is computationally tractable for real-world problems with small aperture seismic arrays.

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A modified cell-centered nodal integral scheme for the convection-diffusion equation

Ahmed,

Singh

2024

Journal of Computational Science

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A Nodal Integral Scheme for Acoustic Wavefield Simulation

Cited by 3 publications

References 28 publications

Acoustic full waveform inversion for 2-D ambient noise source imaging

Acoustic full waveform inversion for 2-D ambient noise source imaging

Acoustic full waveform inversion for 2-D ambient noise source imaging

A modified cell-centered nodal integral scheme for the convection-diffusion equation

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