A hybrid calculation technique of the Indirect Boundary Element Method and the analytical solutions for three-dimensional problems of topography

Yokoi, Toshiaki; Sánchez‐Sesma, Francisco J.

doi:10.1046/j.1365-246x.1998.1331466.x

Cited by 17 publications

(17 citation statements)

References 18 publications

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“…For such purpose, many different techniques (Fujiwara & Takenaka 1994;Yokoi & Takenaka 1995;Davies & Bu 1996;Bu 1997;Takenaka et al 1996;Yokoi & Sanchez-Sesma 1998;Liu et al 2008) applicable to the boundary element method have been developed. For such purpose, many different techniques (Fujiwara & Takenaka 1994;Yokoi & Takenaka 1995;Davies & Bu 1996;Bu 1997;Takenaka et al 1996;Yokoi & Sanchez-Sesma 1998;Liu et al 2008) applicable to the boundary element method have been developed.…”

Section: Z Qian and H Yamanakamentioning

confidence: 99%

An efficient approach for simulating seismoacoustic scattering due to an irregular fluid-solid interface in multilayered media

Qian

Yamanaka

2012

Geophysical Journal International

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SUMMARY The seismoacoustic scattering due to an irregular fluid–solid interface must be considered when we model the seismic wave propagation in oceanic regions or gulf areas. In this paper, an efficient approach will be presented to treat this kind of problem. The approach can be viewed as an extension of the method originally developed for seismogram synthesis in multilayered solid media with irregular interfaces. In this method, we use the traditional boundary element method to discretize the boundary integral equation in each layer; then define the global matrix propagators by the boundary and continuity conditions in such way that they propagate the information of the element displacements and tractions ‘downwards’ for layers above the source while ‘upwards’ for layers below the source, finally solve the problem in the source layer. The main idea of the method is to use the global matrix propagators to suppress the tremendous increase in the memory requirement appearing in the traditional boundary element method when modelling wave propagation in multilayered media. As for the fluid–solid interface, the direct application of the above method is difficult since the global matrix propagators in fluid layers are much different from those defined in solid layers. By using the pressure as the variable inside the fluid layer, we can treat the acoustic wave propagation as a Helmoltz problem. The global matrix propagators can then be extended into the same size as those defined for solid layers by using the standard boundary conditions at the fluid–solid interface (i.e. normal traction continuity, zero tangential traction and normal displacement continuity). By the extended global matrix propagators we can thus propagate the information of the acoustic wave into the elastic wavefield and further obtain the results of the elastic wave propagation in arbitrary solid layers. To demonstrate the validity and feasibility of our method, we should compare our numerical results with the existing solutions. For problems of irregularly layered structures, however, we do not have exact (analytic) solutions. Therefore, it is important to compare the results calculated by completely different numerical methods to ensure validity. For such purpose, we calculate the cases of a plane P wave vertically incident onto two basin‐like fluid–solid structures and an SV wave source located below a basin‐like fluid–solid interface, of which the synthetic seismograms are accessible from the existing publications. Our results show almost complete agreement with those calculated by the reflection/transmission matrix method and those calculated by the discrete wavenumber method. Second, we calculate the synthetic time domain waveforms for a model with and without a basin‐like fluid layer. Comparison observation clearly shows the effects of the fluid layer on the seismic ground motion at land in which seismologists or geophysicists may be of great and practical interests. Furthermore, we take into account the case when an explosive source is loca...

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Section: Z Qian and H Yamanakamentioning

confidence: 99%

An efficient approach for simulating seismoacoustic scattering due to an irregular fluid-solid interface in multilayered media

Qian

Yamanaka

2012

Geophysical Journal International

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“…For such purpose, many different techniques [33][34][35][36][37][38][39][40] applicable to the boundary element method have been developed.…”

Section: Step 2 Extend the Global Matrix Propagators Obtained In Stementioning

confidence: 99%

An Efficient Approach for Seismoacoustic Scattering Simulation Based on Boundary Element Method

Qian¹

2012

Wave Processes in Classical and New Solids

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“…For instance, in many applications, triangular elements are used to discretized surfaces (e.g. Manolis and Beskos, 1988;Brebbia and Dominguez, 1992;Yokoi and Sánchez-Sesma, 1998). In this work we choose a simplified scheme and discretize the surfaces using circles of various sizes that approximately cover the boundaries.…”

Section: Discretizationmentioning

confidence: 99%

Boundary element simulation of scattering of elastic waves by 3-D cracks

Iturrarán-Viveros¹,

Sánchez‐Sesma²,

Luzón³

2008

Journal of Applied Geophysics

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A hybrid calculation technique of the Indirect Boundary Element Method and the analytical solutions for three-dimensional problems of topography

Cited by 17 publications

References 18 publications

An efficient approach for simulating seismoacoustic scattering due to an irregular fluid-solid interface in multilayered media

An efficient approach for simulating seismoacoustic scattering due to an irregular fluid-solid interface in multilayered media

An Efficient Approach for Seismoacoustic Scattering Simulation Based on Boundary Element Method

Boundary element simulation of scattering of elastic waves by 3-D cracks

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