Absorbing boundary conditions for dynamic analysis of fluid-saturated porous media

Akiyoshi, T.; Fuchida, K.; Fang, Huolang

doi:10.1016/0267-7261(94)90009-4

Cited by 49 publications

(31 citation statements)

References 14 publications

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“…The second method of the proposed synthetic method is the response analysis for the surface ground layers. The analysis is performed by the existing computer program, which is the effective stress analysis program "NUW2" [4,5]. The program "NUW2" is based on Biot's two-phase mixture theory and Iai's constitutive equation [6].…”

Section: Synthetic Evaluation Methods For Pipeline Responsesmentioning

confidence: 99%

“…The analytical method for the response of surface ground used in this study adopts two-dimensional dynamic equilibrium equations for the soil-water phase and generalized Darcy law for the pore water based on Biot's two-phase mixture theory as in [4,5,7]. To treat non-linearity (liquefaction) of the soil in the near field, the constitutive model for the plain condition is introduced.…”

Section: Response Analysis For Surface Groundmentioning

confidence: 99%

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Evaluation method for behaviour of pipelines during earthquakes

Fuchida¹

2009

WIT Transactions on the Built Environment

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This paper presents a synthetic evaluating method for the seismic behaviour of pipelines during earthquakes. The proposed method consists mainly of three analytical methods, which are the reliability analysis method for lifeline networks, seismic response analysis of surface ground layers and the pseudo static response analysis of buried pipelines. The reliability analysis method for lifeline networks is based on the Monte Carlo method. The seismic response analysis method is two-dimensional effective stress analysis based on Biot's two-phase mixture theory and Iai's constitutive equation. The pipeline analysis is based on the beam theory on an elastic foundation and modified transfer matrix method. Numerical computations are performed for models with various conditions of ground and pipes. As a result, axial and lateral response characteristics of pipelines are shown and evaluated by relating with earthquakes, grounds and pipelines conditions.

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Section: Synthetic Evaluation Methods For Pipeline Responsesmentioning

confidence: 99%

Section: Response Analysis For Surface Groundmentioning

confidence: 99%

Evaluation method for behaviour of pipelines during earthquakes

Fuchida¹

2009

WIT Transactions on the Built Environment

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“…Since the second dilatational wave attenuates very rapidly with the depth and dissipates energy by di usion, it has often been neglected. This assumption has allowed several authors [11][12][13] to perform approaches in time domain analyses.…”

Section: Introductionmentioning

confidence: 99%

A viscous boundary for transient analyses of saturated porous media

Zerfa

Loret

2003

Earthq Engng Struct Dyn

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SUMMARYAn absorbing boundary for saturated porous media is developed that can be used for transient analyses in the time domain. The elastic constitutive equations for the saturated porous media follow Bowen's formulation. The method consists of applying viscous tractions along the artiÿcial boundary. The absorbing boundary behaviour is assumed linear and isotropic. Hadamard's conditions provide the speeds of the dilatational and shear waves that propagate in saturated porous media. Since these expressions are frequency independent, the intensities of the viscous tractions are evaluated in the time domain, and the two dilatational waves are accounted for. The viscous tractions are deÿned from the drained characteristics, assuming an inÿnite permeability, at variance with the traditional 'undrained' method based on undrained characteristics and a null permeability. Solid media and materials with low permeability are also retrieved as subcases.The results show that, at no additional cost, this 'drained' method is more accurate for all permeabilities than the 'undrained' method, which disregards the existence of the second dilatational wave.

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“…The first method is the seismic response analysis for the surface ground layers. The analysis is performed by the existing computer program which is the effective stress analysis program "NUW2" [1][2][3]. The program "NUW2" is based on Biot's two phase mixture theory and Iai's constitutive equation [4].…”

Section: Evaluation Methods For Pipeline Responsesmentioning

confidence: 99%

“…The analytical method for response of surface ground layers used in this study adopts the two-dimensional dynamic equilibrium equations for the soil-water phase and generalized Darcy law for the pore water based on Biot's two-phase mixture theory as in references [1][2][3]. To treat non-linearity (liquefaction) of the soil in the near field, the constitutive model for the plain condition is introduced.…”

Section: Seismic Response Analysis For Surface Ground Layersmentioning

confidence: 99%

Evaluation of response characteristics of buried pipelines during earthquakes

Fuchida¹

2011

WIT Transactions on the Built Environment

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This paper presents an evaluating method for seismic behaviour of pipelines during earthquakes and studies the response characteristics of them for various conditions of ground displacements and pipelines. The proposed method consists of mainly two analytical methods which are the seismic response analysis of surface ground layers and the pseudo static response analysis of buried pipelines. The seismic response analysis method for surface ground layers is 2-dimensional effective stress analysis based on Biot's two phase mixture theory and Iai's constitutive equation. The pipeline analysis is based on a beam theory on an elastic foundation and modified transfer matrix method. Numerical computations are performed for various models with changing conditions of ground and pipes. As a result, axial and lateral response characteristics of pipelines are shown and evaluated by relating with earthquakes, grounds and pipelines conditions.

show abstract

Absorbing boundary conditions for dynamic analysis of fluid-saturated porous media

Cited by 49 publications

References 14 publications

Evaluation method for behaviour of pipelines during earthquakes

Evaluation method for behaviour of pipelines during earthquakes

A viscous boundary for transient analyses of saturated porous media

Evaluation of response characteristics of buried pipelines during earthquakes

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