Domain Reduction Method for Three-Dimensional Earthquake Modeling in Localized Regions, Part I: Theory

Bielak, Jacobo; Loukakis, Kostas; Hisada, Yoshiaki; Yoshimura, Chiaki

doi:10.1785/0120010251

Cited by 295 publications

(247 citation statements)

References 50 publications

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“…For example, on the finite element side, available are solids elements (8,20,27,(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27) node, dry and saturated bricks), structural elements (trusses, beams, shells), contact elements (frictional slip and gap, dry and saturated), isolator and dissipator elements; on the material modeling side, available are elastic (isotropic, anisotropic, linear and non-linear) and elastic-plastic models (isotropic, anisotropic hardening). The seismic input can be applied using the Domain Reduction Method [7,61], while sequential and parallel versions of the program are available (the latter is based on the Plastic Domain Decomposition (PDD) method [25]). Recent applications of Real ESSI to seismic problems are documented, for instance, in [1, 12, 27-30, 46, 56-58].…”

Section: Fe Modeling Of 1d Seismic Wave Propagationmentioning

confidence: 99%

Discretization effects in the finite element simulation of seismic waves in elastic and elastic-plastic media

Watanabe

Pisanò

Jeremić

2016

Engineering with Computers

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both linear elastic and non-linear elastic-plastic material models. The blind use of usual rules of thumb is shown to be sometimes debatable, and an effort is made to provide improved discretization criteria. Possible pitfalls of wave simulations are pointed out by highlighting the dependence of discretization effects on time duration, spatial location, material model and specific output variable considered.

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Section: Fe Modeling Of 1d Seismic Wave Propagationmentioning

confidence: 99%

Discretization effects in the finite element simulation of seismic waves in elastic and elastic-plastic media

Watanabe

Pisanò

Jeremić

2016

Engineering with Computers

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“…Furthermore, a mesh tailored to local wavelengths permits much longer time steps without suffering instability, since the Courant stability limit is on the order of that required for accuracy. Details on our computational methodology and underlying algorithms may be found in [6,7,[10][11][12]25,32,40]. Our codes have been used to used to model earthquake ground motion in the San Fernando Valley of Southern California [7], the Osaka basin in Japan [22], the Kirovakan Valley in Armenia [12], and the Wellington Valley in New Zealand [2]; to model the response of dams during earthquakes [31]; to model nonlinear elastoplastic ground motion [39]; and to assess three-dimensional local site effects in sedimentary basins [9].…”

Section: Forward Earthquake Modelingmentioning

confidence: 99%

High Resolution Forward And Inverse Earthquake Modeling on Terascale Computers

Akçelik

Bielak

Biros

et al. 2003

Proceedings of the 2003 ACM/IEEE Conference on Supercomputing

146

153

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For earthquake simulations to play an important role in the reduction of seismic risk, they must be capable of high resolution and high fidelity. We have developed algorithms and tools for earthquake simulation based on multiresolution hexahedral meshes. We have used this capability to carry out 1 Hz simulations of the 1994 Northridge earthquake in the LA Basin using 100 million grid points. Our wave propagation solver sustains 1.21 teraflop/s for 4 hours on 3000 AlphaServer processors at 80% parallel efficiency. Because of uncertainties in characterizing earthquake source and basin material properties, a critical remaining challenge is to invert for source and material parameter fields for complex 3D basins from records of past earthquakes. Towards this end, we present results for material and source inversion of high-resolution models of basins undergoing antiplane motion using parallel scalable inversion algorithms that overcome many of the difficulties particular to inverse heterogeneous wave propagation problems. Abstract. For earthquake simulations to play an important role in the reduction of seismic risk, they must be capable of high resolution and high fidelity. We have developed algorithms and tools for earthquake simulation based on multiresolution hexahedral meshes. We have used this capability to carry out 1 Hz simulations of the 1994 Northridge earthquake in the LA Basin using 100 million grid points. Our wave propagation solver sustains 1.21 teraflop/s for 4 hours on 3000 AlphaServer processors at 80% parallel efficiency. Because of uncertainties in characterizing earthquake source and basin material properties, a critical remaining challenge is to invert for source and material parameter fields for complex 3D basins from records of past earthquakes. Towards this end, we present results for material and source inversion of high-resolution models of basins undergoing antiplane motion using parallel scalable inversion algorithms that overcome many of the difficulties particular to inverse heterogeneous wave propagation problems. Author(s)Volkan

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“…Bielak et al [34] developed the DRM for seismic analysis and numerical simulation of large-scale problems including seismic source (i.e., fault), propagation path, and locally complex structures e ects (e.g., strong geological or topographical irregularities). Yoshimura et al [35] veri ed the domain reduction method using the Green function approach.…”

Section: Introductionmentioning

confidence: 99%

Domain reduction method for seismic analysis of Dam-Foundation-Fault system

2018

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Abstract. Numerical simulation of dam-foundation-fault system, considering the earthquake source, propagation path, and local site e ects, was carried out for realistic and reasonable seismic safety analysis of concrete dams. The Domain Reduction Method (DRM) was used for seismic analysis of Dam-Foundation-Fault (DFF) system, in which a modular two-step methodology for reducing the computational costs in large domain analysis was introduced. In this method, seismic excitation is directly applied to the computational domain such that assigning arti cial boundary to the nite element models is more comfortable. In order to verify the implementation of the DRM in Finite Element Method (FEM), a simple 2D half-space under the Ricker wavelet excitation was examined. Then, to investigate the DRM as an appropriate method in seismic analysis of DFF system, the Koyna concrete gravity dam was modeled. Comparing the obtained results by using both the DRM in a small domain and the traditional approach in the large domain containing the source shows the e ciency of the DRM in terms of computational costs, such as running time and number of elements for seismic analysis of concrete gravity dams.

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Domain Reduction Method for Three-Dimensional Earthquake Modeling in Localized Regions, Part I: Theory

Cited by 295 publications

References 50 publications

Discretization effects in the finite element simulation of seismic waves in elastic and elastic-plastic media

Discretization effects in the finite element simulation of seismic waves in elastic and elastic-plastic media

High Resolution Forward And Inverse Earthquake Modeling on Terascale Computers

Domain reduction method for seismic analysis of Dam-Foundation-Fault system

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