Simulating Seismic Wave Propagation in Viscoelastic Media with an Irregular Free Surface

Chen, Jingyi; Zhao, Zhencong; Lan, Haiqiang; Liu, Fuping

doi:10.1007/s00024-018-1879-9

Cited by 11 publications

(3 citation statements)

References 35 publications

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“…The propagation of a stationary plane one-dimensional wave initiated by a load in some section in a linear viscous medium that increases abruptly and then maintains a constant value was considered in [10,11,12]. At that, in all sections of the medium, the stress at the wave propagation by steps or gradually, increases to the same maximum value, and then maintains this value.…”

Section: Statement Of the Problem And Methods Of Its Solutionmentioning

confidence: 99%

Propagation of longitudinal waves in a linear viscoelastic medium

Khamidov,

Loginov,

Akbarov

2023

E3S Web of Conf.

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The article is devoted to the study of longitudinal wave propagation in a viscoelastic medium. A mathematical model of the problem of a linear viscoelastic medium was developed. The solution to the considered problems is reduced to the solution of a system of differential equations solved by the method of characteristics with the appropriate boundary conditions. The results are compared with known results obtained by other authors; a comparison shows the adequacy of the task posed. It was determined that the maximum values of stress, strain, and velocity of particles in viscous media vary according to a non-linear law. In the initial section of the medium and near it, first, the stress reaches its maximum, and then the strain and velocity of particles reach their maximum values.

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Section: Statement Of the Problem And Methods Of Its Solutionmentioning

confidence: 99%

Propagation of longitudinal waves in a linear viscoelastic medium

Khamidov,

Loginov,

Akbarov

2023

E3S Web of Conf.

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“…In seismic numerical simulations of wave propagation, it is very important for us to consider surface topography and attenuation, which both have large effects (e.g., wave diffractions, conversion, amplitude/phase change) on seismic imaging and inversion. An irregular free surface provides significant information for interpreting the characteristics of seismic wave propagation in areas with rugged or rapidly varying topography, and viscoelastic media are a better representation of the earth's properties than acoustic/elastic media [35].…”

Section: Impact: Model Specificationsmentioning

confidence: 99%

Convergence Study of Variational Space‐Time Coupled Least‐Squares Frameworks in Simulation of Wave Propagation in Viscoelastic Medium

Saffarian

Ahmadi

Bagheripour

2022

Advances in Civil Engineering

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There are many novel applications of space-time decoupled least squares and Galerkin formulations that simulate wave propagation through different types of media. Numerical simulation of stress wave propagation through viscoelastic medium is commonly carried out using the space-time decoupled Galerkin weak form in site response problem, etc. In a recent investigation into accuracy of this formulation in simulating elastic wave propagation, it was shown that the diffusive and dispersive errors are greatly reduced when space-time coupled least squares formulation is used instead in variational form. This paper investigates convergence characteristics of both formulations. To this end, two test cases, which are site response and impact models for viscoelastic medium, are employed, one dominated by dispersive and the other by diffusive numerical error. Convergence studies reveal that, compared to the commonly used space-time decoupled Galerkin and the coupled least squares formulation has much lower numerical errors, higher rates of convergence, and ability to take far larger time increments in the evolution process. In solving such models, coefficient matrices would require updating after each time step, a process that can be very costly. However large time steps allowed by cLs are expected to be a significant feature in reducing the overall computational cost.

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“…Zhu et al (2013) evaluated the accuracy of constant-Q wave propagation using of a series of SLS mechanisms. Recently, Liu et al (2018) and Ichou et al (2022) used the SLS model to investigate seismic wave propagation in a viscoelastic isotropic media. Kelvin-Voigt (KV) and Maxwell (M) models were also used to represent attenuative media.…”

Section: Introductionmentioning

confidence: 99%

A Comparative Study of Viscoelastic Rheological Models Using Finite-Difference Method and an Evaluation of the Seismic Attenuation in the Búzios Field Data

Augusto

Moreira

Cetale

et al. 2023

Pure Appl. Geophys.

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Viscoelastic waves are modeled using a 3D time-domain finite-difference scheme with three classical rheological models -Maxwell (M), Kelvin-Voigt (KV), Standard Linear Solid (SLS) -each of them with a single relaxation mechanism. Attenuation and dispersion effects are introduced in terms of the quality factor Q for a certain angular frequency ω. Initially, seismic attenuation of the 2D poststack seismic data from Brazilian pre-salt is evaluated through a frequency analysis. After that, numerical results are validated with analytical solutions based on a homogeneous model with constant seismic properties. The behavior of each rheological model are discussed based on phase, wave amplitude and spectrum. A simplified multilayered geological model is proposed considering regions of the poststack seismic data from the Brazilian pre-salt, Búzios field. Synthetic data are then generated for each rheological model considering two approaches in terms of Q distribution: a constant Q and a varying Q per layer. Both waveform and spectra are extracted from seismograms and compared with selected regions of Búzios poststack data. The amplitude spectra confirmed that the shallowest post-salt package is more dissipative than deeper regions.Viscoelastic Models Applied to the Brazilian Pre-salt Moreover, based on the analysis of synthetic data, KV and SLS models proved to be effective to mimic seismic wave propagation at Búzios field. Synthetic results also show that a Q distribution per layer can yield a seismic attenuation behavior similar to the one observed within the data.

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Simulating Seismic Wave Propagation in Viscoelastic Media with an Irregular Free Surface

Cited by 11 publications

References 35 publications

Propagation of longitudinal waves in a linear viscoelastic medium

Propagation of longitudinal waves in a linear viscoelastic medium

Convergence Study of Variational Space‐Time Coupled Least‐Squares Frameworks in Simulation of Wave Propagation in Viscoelastic Medium

A Comparative Study of Viscoelastic Rheological Models Using Finite-Difference Method and an Evaluation of the Seismic Attenuation in the Búzios Field Data

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