An Accurate and Efficient Recursive Convolution Method to Simulate Viscoacoustic and Viscoelastic Waves. Jin, C., Zhou, B., Greenhalgh, S., Jamal Zemerly, M., Kamel Riahi, M., & Cao, D. IEEE Transactions on Geoscience and Remote Sensing, 2024. Cited by: 0![An Accurate and Efficient Recursive Convolution Method to Simulate Viscoacoustic and Viscoelastic Waves [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex Seismic wavefield forward modeling in anelastic (attenuating) media is a fundamental tool for both data processing and interpretation in modern seismic exploration. We propose a generalized recursive convolution (RC) formula to calculate the temporal convolutions directly, rather than solving many auxiliary partial differential equations of the memory variables when dealing with a viscoelastic medium. The new formula is obtained in terms of the Taylor series expansion and offers approximations of the convolutions to arbitrary order by the number of terms retained. We conduct theoretical and numerical comparisons of the new method with the commonly used memory variable method and other traditional RC methods. The comparisons show that the new method has the highest accuracy of all these RC methods and yields better performance with various stress relaxation times and time steps than the common leapfrog time-stepping scheme to solve the auxiliary partial differential equations of the memory variables. Our numerical examples verify the versatility and feasibility of the new method for viscoacoustic and viscoelastic wave modeling. © 1980-2012 IEEE.
@ARTICLE{Jin2024,
author = {Jin, Chao and Zhou, Bing and Greenhalgh, Stewart and Jamal Zemerly, Mohamed and Kamel Riahi, Mohamed and Cao, Danping},
title = {An Accurate and Efficient Recursive Convolution Method to Simulate Viscoacoustic and Viscoelastic Waves},
year = {2024},
journal = {IEEE Transactions on Geoscience and Remote Sensing},
volume = {62},
doi = {10.1109/TGRS.2024.3393613},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191892470&doi=10.1109%2fTGRS.2024.3393613&partnerID=40&md5=2d82b3ba81850c830e63ca8acca67743},
abstract = {Seismic wavefield forward modeling in anelastic (attenuating) media is a fundamental tool for both data processing and interpretation in modern seismic exploration. We propose a generalized recursive convolution (RC) formula to calculate the temporal convolutions directly, rather than solving many auxiliary partial differential equations of the memory variables when dealing with a viscoelastic medium. The new formula is obtained in terms of the Taylor series expansion and offers approximations of the convolutions to arbitrary order by the number of terms retained. We conduct theoretical and numerical comparisons of the new method with the commonly used memory variable method and other traditional RC methods. The comparisons show that the new method has the highest accuracy of all these RC methods and yields better performance with various stress relaxation times and time steps than the common leapfrog time-stepping scheme to solve the auxiliary partial differential equations of the memory variables. Our numerical examples verify the versatility and feasibility of the new method for viscoacoustic and viscoelastic wave modeling. © 1980-2012 IEEE.},
note = {Cited by: 0}
}
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