Analysis of transient response of saturated porous elastic soil under cyclic loading using element-free Galerkin method

Karim, Md. Rezaul; Nogami, Toyoaki; Wang, Jingguo

doi:10.1016/s0020-7683(02)00497-3

Cited by 37 publications

(18 citation statements)

References 23 publications

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“…Typical FEM methods were proposed by Ghaboussi and Wilson (1972), Prevost (1982), Zienkiewicz and Shiomi (1984), and Karim et al (2002). Specifically, the FEM solution scheme of coupled solid-deformation/fluid-diffusion problems has been investigated by Wan (2002) and White and Borja (2008).…”

Section: Finite-element Formulation Of Contactmentioning

confidence: 99%

Pore-Pressure Response to Sudden Fault Slip for Three Typical Faulting Regimes

Zhou

Burbey

2014

Bulletin of the Seismological Society of America

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The hydrological effects of earthquakes are determined by the style of fault displacement, rather than simply by the magnitude of the earthquake. In the past, many researchers used the analytical solution of Okada (1992) to estimate the porepressure field, which is derived through the stress field by Skempton's B coefficient, after the stress field is calculated from a given forced fault slip in Okada's method (Okada, 1992). This approach is a one-way coupling approach, as fluid has no effect on rock behavior, and Skempton's B coefficient must be given separately to know the pore-pressure field. We create a fault-slip model in conjunction with a poroelastic model and present a new approach in which fault movement is a consequence of reduced friction occurring in a saturated porous medium. This model represents a numerical parallel to the traditional Okada's approach, but with two advantages:(1) it is well suited for more complex geometries and heterogeneous formations for which analytical methods fail; (2) it is fully coupled so that fluid effects are also taken into account. This model shows that all three different faulting regimes exhibit completely different pore-pressure change distributions in 3D space. The transient pore-pressure change after a strike-slip faulting event is axis symmetrical with respect to the imaginary vertical line passing through the epicenter and hypocenter, with increased and decreased areas evenly distributed in a juxtaposed pattern. The transient pore-pressure changes associated with normal and thrust faulting all display a circular pattern on the model surface, with the largest pore-pressure increase occurring at the epicenter for normal faulting and the largest decrease for thrust faulting. Many observed field phenomena have been explained in surprising detail by this model.

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Section: Finite-element Formulation Of Contactmentioning

confidence: 99%

Pore-Pressure Response to Sudden Fault Slip for Three Typical Faulting Regimes

Zhou

Burbey

2014

Bulletin of the Seismological Society of America

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“…Norris obtained a closed‐form solution for an impulsive point loading by using Fourier transform. Based on the element‐free Galerkin method, Karim et al presented a 2‐dimensional numerical procedure to analyze the transient response of the saturated porous elastic soil layer under cyclic loading. Zhou et al studied the transient response of a poroelastic medium below the free surface by applying Laplace‐Hankel transform.…”

Section: Introductionmentioning

confidence: 99%

Transient dynamic response of multilayered saturated media subjected to impulsive loadings

et al. 2018

Num Anal Meth Geomechanics

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Summary This paper presents a stable and efficient method for calculating the transient solution of layered saturated media subjected to impulsive loadings by means of the analytical layer element method. Starting with the field equations based on Biot's linear theory for porous, fluid‐saturated media, and the seepage continuity equation, an analytical layer element for a single layer is established by applying Laplace‐Hankel integral transform. The global stiffness matrix in the transform domain for a layered saturated half‐space subjected to a transient circular patch loading is obtained by assembling the layer elements of each layer. The displacements in the time domain are derived by Laplace‐Hankel inverse transform of the global stiffness matrix. Numerical examples are conducted to verify the accuracy of the method and to demonstrate the influences of type of transient loading, buried depth of loading, permeability, and stratification of materials on the transient response of the multilayered saturated poroelastic media.

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“…As a special case of Biot's generalized model, quasi‐static Biot's consolidation model, which is frequently applied to low‐frequency phenomena 2, has been used widely in soil mechanics with the displacements of the soil skeleton ( u ) and the pore water pressure ( p ) as essential variables. The Finite Element Method (FEM) has been the dominant approach in solving the quasi‐static Biot's consolidation model in the past few decades 3–5, whereas more recently, meshless methods are booming with the aim of finding more advantages in the soil–pore fluid interaction problem 6–11. However, meshelss methods have to face such a difficulty that occurs definitely in the FEM field: when the soil is saturated and impermeable, the solutions of the pore water pressure will oscillate if the relationship between the interpolation functions of u and p is not treated appropriately 12.…”

Section: Introductionmentioning

confidence: 99%

Stable element‐free Galerkin solution procedures for the coupled soil–pore fluid problem

Hua

2010

Numerical Meth Engineering

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SUMMARYIt is always difficult to solve the coupled soil-pore fluid problem when the soil is saturated and impermeable, because this situation often results in intensive oscillations of the solutions. This topic has been discussed widely in the field of the finite element method but rarely by meshless methods. The ElementFree Galerkin (EFG) method has outstanding advantages of solving this problem, based on the fact that its interpolation function can be constructed flexibly by the nodes in the compact domain. In this study, an EFG numerical model together with a stabilization technique is proposed to obtain stable solutions, especially for the saturated and impermeable soil. Close agreement between computational results and analytical solutions for one-and two-dimensional examples shows that the proposed numerical model not only provides highly accurate solutions for the saturated soil with relatively high permeability, but also eliminates the oscillations of the solutions very effectively for the saturated and impermeable soil. Furthermore, the influences of the hydraulic anisotropy, a typical property of two-dimensional problems, on the proposed stabilization technique are discussed. It is suggested that the optimal distribution of the nodes of essential variables can be designed, according to the relative importance of the permeability in different directions.

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Analysis of transient response of saturated porous elastic soil under cyclic loading using element-free Galerkin method

Cited by 37 publications

References 23 publications

Pore-Pressure Response to Sudden Fault Slip for Three Typical Faulting Regimes

Pore-Pressure Response to Sudden Fault Slip for Three Typical Faulting Regimes

Transient dynamic response of multilayered saturated media subjected to impulsive loadings

Stable element‐free Galerkin solution procedures for the coupled soil–pore fluid problem

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