Modeling of tsunami generation and propagation under the effect of stochastic submarine landslides and slumps spreading in two orthogonal directions

Ramadan, Khaled T.; Omar, Mohamed; Allam, Allam A.

doi:10.1016/j.oceaneng.2013.11.013

Cited by 15 publications

(7 citation statements)

References 42 publications

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“…The total tensor of the Cauchy symmetric tension (T) in Equation ( 1) is defined as Equation (2), where, 𝛕 is the deviatoric part of the stress tensor (shear stress tensor), which is defined by Equation (3):…”

Section: Granular Flow Rheologymentioning

confidence: 99%

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Two‐ and three‐dimensional multiphase mesh‐free particle modeling of transitional landslide with μ(I) rheology

Jafari Nodoushan,

Tajnesaie,

Shakibaeinia

2024

Numerical Methods in Fluids

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Landslides, which are the sources of most catastrophic natural disasters, can be subaerial (dry), submerged (underwater), or semi‐submerged (transitional). Semi‐submerged or transitional landslides occur when a subaerial landslide enters water and turns to submerged condition. Predicting the behavior of such a highly dynamic multi‐phase granular flow system is challenging, mainly due to the water entry effects, such as wave impact and partial saturation (and resulted cohesion). The mesh‐free particle methods, such as the moving particle semi‐implicit (MPS) method, have proven their capabilities for the simulation of the highly dynamic multiphase systems. This study develops and evaluates a numerical model, based on the MPS particle method in combination with the μ(I) rheological model, to simulate the morphodynamic of the granular mass in semi‐submerged landslides in two and three dimensions. An algorithm is developed to consider partial saturation (and resulting cohesion) during the water entry. Comparing the numerical results with the experimental measurements shows the ability of the proposed model to accurately reproduce the morphological evolution of the granular mass, especially at the moment of water entry.

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Section: Granular Flow Rheologymentioning

confidence: 99%

“…It induces tsunami waves much more significantly than the initially submerged landslides. [2][3][4][5][6] Landslides in semi-submerged mode present a major computational challenge. It is a highly dynamic multiphase granular system that involves the high-speed collision of granular mass to the water surface and the resulting wave impact.…”

Section: Introductionmentioning

confidence: 99%

Two‐ and three‐dimensional multiphase mesh‐free particle modeling of transitional landslide with μ(I) rheology

Jafari Nodoushan,

Tajnesaie,

Shakibaeinia

2024

Numerical Methods in Fluids

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“…Thus, instead of dealing with only one of these trajectories, we derive mathematically the mean and variance of the stochastic tsunami waveforms to get a better insight of the overall behavior of the stochastic tsunami waveforms; see [35]. First, we derive the mean of the tsunami waveforms by expressing the transformed free surface elevation, * * ( 1 , 2 , ), using (27) and (29)…”

Section: Mathematical Derivation Of the Mean And Variance Of The Stocmentioning

confidence: 99%

“…Omar et al [28] studied the nature of the tsunami generation and propagation resulting from unilateral spreading in thedirection of a stochastic source model driven by a Gaussian white noise. Ramadan et al [29] investigated the tsunami generation and propagation caused by stochastic submarine landslides and slumps driven by a Gaussian white noise in the -and -direction. They found that the increasing in the normalized noise intensities increases the oscillations of the free surface elevation and an increase in the difference in the peak amplitudes of the waveforms in the generation process, while in the propagation process, shows more dispersion and oscillation in the propagated free surface elevation.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Modeling of Tsunami Generation and Propagation under the Effect of Stochastic Seismic Fault Source Model in Linearized Shallow-Water Wave Theory

Allam

Omar

Ramadan

2014

ISRN Applied Mathematics

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Tsunami generation and propagation caused by stochastic seismic fault driven by two Gaussian white noises in the x- and y-directions are investigated. This model is used to study the tsunami amplitude amplification under the effect of the noise intensities, spreading uplift length and rise times of the three-dimensional stochastic fault source model. Tsunami waveforms within the frame of the linearized shallow-water theory for constant water depth are analyzed analytically by transform methods (Laplace in time and Fourier in space). The amplification of tsunami amplitudes builds up progressively as time increases during the generation process due to wave focusing while the maximum wave amplitude decreases with time during the propagation process due to the geometric spreading and also due to dispersion. The maximum amplitude amplification is proportional to the propagation length of the stochastic source model and inversely proportional to the water depth. The increase of the normalized noise intensities on the bottom topography leads to an increase in oscillations and amplitude in the free surface elevation. We derived and analyzed the mean and variance of the random tsunami waves as a function of the propagated uplift length, noise intensities, and the average depth of the ocean along the generation and propagation path.

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“…On the other hand, as in the case of earthquakegenerated tsunamis, stochastic methods for landslide-generated tsunamis as well are nowadays being employed in an effort to simulate the subsequent waves more realistically. Ramadan et al (2014) defined a two-dimensional stochastic submarine slide represented by the Heaviside (step) function under the influence of a Gaussian white noise process. Their results show that, the largest peak of the tsunami amplitude occurs when the bottom has spreading velocities that are equal to the tsunami velocity, and that the amplitude decreases due to dispersion as the tsunami departs away from the source.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Study on Tsunami Run-up due to Submarine Landslides from Different Bottom Profiles

Aydın¹

2021

Afyon Kocatepe University Journal of Sciences and Engineering

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Tsunamis generated by submarine landslides were analyzed through a linear analytical model. Analytical solution existing in the literature was generalized to include different bottom profiles and maximum run-ups originating from two different bottom forcing functions, namely Gaussian wave and solitary wave cross sections were compared. Results indicated that the Gaussian cross section produces slightly larger maximum run-up than the solitary wave cross section, even if the two profiles had the same maximum vertical thickness initially and the area occupied by the former was less than the latter.

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Modeling of tsunami generation and propagation under the effect of stochastic submarine landslides and slumps spreading in two orthogonal directions

Cited by 15 publications

References 42 publications

Two‐ and three‐dimensional multiphase mesh‐free particle modeling of transitional landslide with μ(I) rheology

Two‐ and three‐dimensional multiphase mesh‐free particle modeling of transitional landslide with μ(I) rheology

Three-Dimensional Modeling of Tsunami Generation and Propagation under the Effect of Stochastic Seismic Fault Source Model in Linearized Shallow-Water Wave Theory

An Analytical Study on Tsunami Run-up due to Submarine Landslides from Different Bottom Profiles

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