Upscaling acoustic wave equation using Renormalization Group theory

Ajay Malkoti; Shravan M. Hanasoge; René Édouard Plessix

doi:10.1190/image2022-3744890.1

Upscaling acoustic wave equation using Renormalization Group theory

Ajay Malkoti, Shravan M. Hanasoge, René Édouard Plessix

Center for Space Science

Research output: Contribution to journal › Conference article › peer-review

Abstract

Seismic waves interact with a broad range of heterogeneities as they propagate through the Earth. Simulating this full range of scales for wave propagation requires capturing heterogeneities of all scales, which can be computationally unaffordable. In such cases, we rely on macroscopic representations of media obtained through an upscaling process that preserves the effects of small-scale heterogeneities (in comparison to the wavelengths of interest). Here we discuss the application of the renormalization-group (RG) theory-based upscaling to the two-dimensional acoustic wave equation. The upscaled models obtained using this method show a good consistency for generated waveforms.

Original language	English (US)
Pages (from-to)	2507-2511
Number of pages	5
Journal	SEG Technical Program Expanded Abstracts
Volume	2022-August
DOIs	https://doi.org/10.1190/image2022-3744890.1
State	Published - Aug 15 2022
Event	2nd International Meeting for Applied Geoscience and Energy, IMAGE 2022 - Houston, United States Duration: Aug 28 2022 → Sep 1 2022

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology
Geophysics

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10.1190/image2022-3744890.1

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title = "Upscaling acoustic wave equation using Renormalization Group theory",

abstract = "Seismic waves interact with a broad range of heterogeneities as they propagate through the Earth. Simulating this full range of scales for wave propagation requires capturing heterogeneities of all scales, which can be computationally unaffordable. In such cases, we rely on macroscopic representations of media obtained through an upscaling process that preserves the effects of small-scale heterogeneities (in comparison to the wavelengths of interest). Here we discuss the application of the renormalization-group (RG) theory-based upscaling to the two-dimensional acoustic wave equation. The upscaled models obtained using this method show a good consistency for generated waveforms.",

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T1 - Upscaling acoustic wave equation using Renormalization Group theory

AU - Malkoti, Ajay

AU - Hanasoge, Shravan M.

AU - Plessix, René Édouard

PY - 2022/8/15

Y1 - 2022/8/15

N2 - Seismic waves interact with a broad range of heterogeneities as they propagate through the Earth. Simulating this full range of scales for wave propagation requires capturing heterogeneities of all scales, which can be computationally unaffordable. In such cases, we rely on macroscopic representations of media obtained through an upscaling process that preserves the effects of small-scale heterogeneities (in comparison to the wavelengths of interest). Here we discuss the application of the renormalization-group (RG) theory-based upscaling to the two-dimensional acoustic wave equation. The upscaled models obtained using this method show a good consistency for generated waveforms.

AB - Seismic waves interact with a broad range of heterogeneities as they propagate through the Earth. Simulating this full range of scales for wave propagation requires capturing heterogeneities of all scales, which can be computationally unaffordable. In such cases, we rely on macroscopic representations of media obtained through an upscaling process that preserves the effects of small-scale heterogeneities (in comparison to the wavelengths of interest). Here we discuss the application of the renormalization-group (RG) theory-based upscaling to the two-dimensional acoustic wave equation. The upscaled models obtained using this method show a good consistency for generated waveforms.

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SN - 1052-3812

VL - 2022-August

SP - 2507

EP - 2511

JO - SEG Technical Program Expanded Abstracts

JF - SEG Technical Program Expanded Abstracts

T2 - 2nd International Meeting for Applied Geoscience and Energy, IMAGE 2022

Y2 - 28 August 2022 through 1 September 2022

ER -

Upscaling acoustic wave equation using Renormalization Group theory

Abstract

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