The dynamic stiffness matrix method for seismograms synthesis for layered transversely isotropic half-space

Ba, Zhenning; Liu, Yue; Liang, Jianwen; Sang, Qiaozhi; Wu, Mengtao; Zhang, Yushan

doi:10.1016/j.apm.2021.11.022

Cited by 17 publications

(5 citation statements)

References 41 publications

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“…On the other hand, the dynamic stiffness matrix method employed in this article is first derived by Wolf (1985) in two dimensions (2D), and extended to 3D by the authors (Liang and Ba, 2007). Then, we formulated the dynamic stiffness matrix with point source representation in a frequency-wavenumber domain to simulate the wave propagation due to point seismic sources in layered half-space (Ba et al, 2021(Ba et al, , 2022, and synthesized seismic motions in the spatial-temporal domain can be acquired through inverse Fourier-Hankel transformation. As the finite fault can be divided into a certain number of subsources, that is, point sources, the dynamic stiffness matrix method applies to the simulation of 2021 M s 6.4 Yangbi earthquake, which is an extended work based on previous point source modeling (Ba et al, 2021(Ba et al, , 2022.…”

Section: Earthquake Simulations Using Dynamic Stiffness Matrix Methodsmentioning

confidence: 99%

“…As Li et al (2021b) only present V p , V s , and density values, the damping in Table 2 is estimated by ξ s = 1 / ( 2 Q s ) with quality factor Q s = V s /10. Formulation of the dynamic stiffness matrix method is briefly introduced here, and detailed derivations can be found in the work by Ba et al (2022).…”

Section: Broadband Ground Motion Simulations Of 2021 Ms 64 Yangbi Ear...mentioning

confidence: 99%

“…Hybrid approaches are usually adopted to use stochastic methods to generate high-frequency components of motion and combine them with low-frequency motion from physics-based simulation to generate broadband seismic motions (Mai et al, 2010;Paolucci et al, 2018). Distinct from the hybrid methods, the author of this article has developed a dynamic stiffness matrix method in the frequency-wavenumber (FK) domain (Ba et al, 2021(Ba et al, , 2022, which could simulate seismic wave propagation problems of layered half-space with kinematic finite fault. Based on computed Green functions between the source and observation point, the computing requirement of the dynamic stiffness matrix method increases linearly with increasing frequency resolution demand, which is advantageous over exponential increase for finite element, spectral element, and so on.…”

Section: Introductionmentioning

confidence: 99%

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City-scale buildings damage estimation based on broadband physics-based ground motion simulation of 2021 M_s 6.4 Yangbi, China, earthquake

Wang,

Zhang,

Lin

et al. 2023

Earthquake Spectra

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This article proposed a computational workflow for city-scale building damage estimation based on broadband physics-based ground motion simulation. The dynamic stiffness matrix method in frequency-wavenumber domain is employed for broadband physics-based ground motion simulation of finite fault along with site response correction using equivalent-linear site response analysis approach. With simulated ground motion, seismic response of buildings, using multi-degree of freedom model, is simulated using nonlinear time history analysis, and building damage is evaluated based on a trilinear backbone curve of story’s nonlinear force-drift model. Main advantage of the framework lies in the employed dynamic stiffness matrix method for ground motion simulation, which can efficiently generate broadband ground motions in perfect parallel and naturally capture the physics of finite fault source, propagation path, and spatial variability characteristics of ground motion. To demonstrate the salient features of proposed workflow, the 2021 Ms 6.4 Yangbi earthquake is simulated with frequency resolution up to 20 Hz, and seismic damage of buildings in Yangbi county are estimated. Results show that most traditional wood-adobe structures suffer moderate to severe damage, and engineered seismic buildings (mostly RC frame) in Yangbi county suffer minor damage, which agrees with field investigation results.

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Section: Earthquake Simulations Using Dynamic Stiffness Matrix Methodsmentioning

confidence: 99%

Section: Broadband Ground Motion Simulations Of 2021 Ms 64 Yangbi Ear...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

City-scale buildings damage estimation based on broadband physics-based ground motion simulation of 2021 M_s 6.4 Yangbi, China, earthquake

Wang,

Zhang,

Lin

et al. 2023

Earthquake Spectra

Self Cite

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“…[1][2][3][4][5][6][7][8][9][10] It has important theoretical significance and engineering application value in the fields of seismic engineering, geotechnical engineering and geophysics, etc., and hence, is widely investigated. [11][12][13][14][15][16] In 1904, Lamb 17 solved the dynamic Boussinesq problem due to a surface source for an elastic medium. Then, on this basis, Chao 18 and Pak 19 extended the elastic vibration problem caused by dynamic surface load on an elastic half-space, to vibration problem caused by a buried source.…”

Section: Introductionmentioning

confidence: 99%

“…The elastic vibration problem caused by a surface or buried vibration source is the basis of the study of the dynamic interaction between structure and soil 1–10 . It has important theoretical significance and engineering application value in the fields of seismic engineering, geotechnical engineering and geophysics, etc., and hence, is widely investigated 11–16 . In 1904, Lamb 17 solved the dynamic Boussinesq problem due to a surface source for an elastic medium.…”

Section: Introductionmentioning

confidence: 99%

Three‐dimensional fundamental solution for unsaturated transversely isotropic half‐space under surface time‐harmonic load

Wang

Zhou

et al. 2023

Num Anal Meth Geomechanics

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An analytical solution of unsaturated poroelastic transversely isotropic (TI) half‐space under surface time‐harmonic load with consideration of compressibility, viscous and inertial coupling of soil skeleton, pore‐water and pore‐air, as well as the capillary pressure is investigated in this paper. Firstly, the governing equations of unsaturated TI soil are established in cylindrical coordinate system. Then, the displacement function and operator theory are introduced to decouple the general solution. Secondly, Fourier expansion and Hankel transform are applied to the circumferential and radial coordinates, and the integral general solutions of soil skeleton displacement, pore‐water displacement and pressure, pore‐air displacement and pressure, and the total stress components are derived in the transformed domain. Combined with boundary conditions and continuity conditions, the fundamental solution of unsaturated TI half‐space is obtained. Finally, the proposed solution is verified by benchmarking with two existing solutions. The influence of the TI parameters, vibration frequency and the degree of saturation on the dynamic response of unsaturated poroelastic half‐space is investigated.

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A Physics‐Based Simulation Approach for Urban‐Scale Earthquake Disaster From Fault to City: Theory, Verification, and Application

Fu,

Ba,

Liang

et al. 2024

Earthq Engng Struct Dyn

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By employing the frequency‐wavenumber (FK) method to simulate the propagation of seismic wavefield in the crustal layer, using the spectral element method (SEM) to simulate the propagation of wavefield in the near‐surface soil, and using the multi‐degree‐of‐freedom (MDOF) model to simulate the seismic response of building clusters in city, this paper establishes the FK‐SE‐MDOF approach (a two‐step method) for urban earthquake disaster analysis of fault‐to‐city based on the concept of domain reduction. The approach can simultaneously consider factors such as earthquake source parameters, propagation paths, local site effects, site‐city interaction (SCI) effects, and the dynamic nonlinear responses of buildings (hereafter referred to as source‐to‐city factors) in a physics‐based model. Firstly, the theories of the approach were introduced, and the correctness of the approach was verified. Furthermore, the applicability and the necessity of considering source‐to‐city factors were examined using a building cluster on an ideal sedimentary basin under the action of a point dislocation source. Finally, the seismic response of buildings in a region was simulated using buildings in the Nankai District of Tianjin as examples. This approach avoids the influences caused by expert experience differences in empirical and hybrid methods, establishes a connection between fault rupture and buildings dynamic response, and can more realistically reflect the distribution of seismic wavefields, building seismic responses, and damage state distribution under the earthquake scenario. It can be applied to earthquake disaster simulation for urban buildings at the scale of tens of thousands of buildings, and the simulation results can provide quantitative guidance for urban planning, earthquake‐resistant design, risk assessment, post‐earthquake rescue, etc.

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The dynamic stiffness matrix method for seismograms synthesis for layered transversely isotropic half-space

Cited by 17 publications

References 41 publications

City-scale buildings damage estimation based on broadband physics-based ground motion simulation of 2021 M_s 6.4 Yangbi, China, earthquake

City-scale buildings damage estimation based on broadband physics-based ground motion simulation of 2021 M_s 6.4 Yangbi, China, earthquake

Three‐dimensional fundamental solution for unsaturated transversely isotropic half‐space under surface time‐harmonic load

A Physics‐Based Simulation Approach for Urban‐Scale Earthquake Disaster From Fault to City: Theory, Verification, and Application

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The dynamic stiffness matrix method for seismograms synthesis for layered transversely isotropic half-space

Cited by 17 publications

References 41 publications

City-scale buildings damage estimation based on broadband physics-based ground motion simulation of 2021 Ms 6.4 Yangbi, China, earthquake

City-scale buildings damage estimation based on broadband physics-based ground motion simulation of 2021 Ms 6.4 Yangbi, China, earthquake

Three‐dimensional fundamental solution for unsaturated transversely isotropic half‐space under surface time‐harmonic load

A Physics‐Based Simulation Approach for Urban‐Scale Earthquake Disaster From Fault to City: Theory, Verification, and Application

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City-scale buildings damage estimation based on broadband physics-based ground motion simulation of 2021 M_s 6.4 Yangbi, China, earthquake

City-scale buildings damage estimation based on broadband physics-based ground motion simulation of 2021 M_s 6.4 Yangbi, China, earthquake