An unconditionally stable explicit and precise multiple timescale finite element modeling scheme for the fully coupled hydro-mechanical analysis of saturated poroelastic media

Li, Gen; Tang, Chun’an; Li, Lian-Chong; Li, Hong

doi:10.1016/j.compgeo.2015.09.003

Cited by 18 publications

(8 citation statements)

References 32 publications

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“…Generally, the item RHS cannot be analytically integrated as the matrix H is invertible. Li et al [39] calculated the item RHS by using the Gauss integration. The computational accuracy can only be improved by increasing the number of integration points or reducing the time-step size, without utilizing high accuracy achieved by numerical computation of exponential matrix.…”

Section: Multi-timescale High-accuracy Numerical Computation Item Rhsmentioning

confidence: 99%

“…However, a dilemma in selecting between a suitable time-step size and high computational accuracy still exists. Recently, an explicit numerical algorithm for the fully coupled hydro-mechanical analysis of fluid-saturated poroelastic media based on direction integration in time domain has been proposed [39], which can better resolve the dilemma. In this paper, based on the above-mentioned global algorithm and precise integration of exponential matrix, a novel multi-timescale high-accuracy modeling scheme is proposed.…”

Section: Introductionmentioning

confidence: 99%

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Multi-timescale high-accuracy modeling of hydro-mechanically coupled processes in fluid-saturated poroelastic media

Wang

2017

Computers and Geotechnics

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In order to accurately model the behaviour of geostructures, the interaction between solid-deformation and fluid-flow needs to be considered for porous geomaterials. However, a dilemma in the selection of suitable time-step size and high computational accuracy always exists in temporal finite difference-based numerical methods. Especially, the load is long-term, cyclically varied and highly time-dependent. The goal of the paper is to develop a new computational scheme for high-accuracy modeling of hydro-mechanically coupled processes for fluid-saturated poroelastic media, in which high-accuracy computation is achieved through a multi-timescale approach consisting of the precise integration of an exponential matrix.

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Section: Multi-timescale High-accuracy Numerical Computation Item Rhsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multi-timescale high-accuracy modeling of hydro-mechanically coupled processes in fluid-saturated poroelastic media

Wang

2017

Computers and Geotechnics

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“…Much work has been reported to alleviate the instability issues associated with the displacement‐pressure formulation under these circumstances. These include, for example, a staggered implicit scheme and a multiple time scale scheme for the former; and mixed finite elements() and enhanced strain finite elements for the latter.…”

Section: Introductionmentioning

confidence: 99%

A scaled boundary finite element formulation for poroelasticity

Ooi

Song

Natarajan

2018

Numerical Meth Engineering

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Summary This paper develops the scaled boundary finite element formulation for applications in coupled field problems, in particular, to poroelasticity. The salient feature of this formulation is that it can be applied over arbitrary polygons and/or quadtree decomposition, which is widely employed to traverse between small and large scales. Moreover, the formulation can treat singularities of any order. Within this framework, 2 sets of semianalytical, scaled boundary shape functions are used to interpolate the displacement and the pore fluid pressure. These shape functions are obtained from the solution of vector and scalar Laplacian, respectively, which are then used to discretise the unknown field variables similar to that of the finite element method. The resulting system of equations are similar in form as that obtained using standard procedures such as the finite element method and, hence, solved using the standard procedures. The formulation is validated using several numerical benchmarks to demonstrate its accuracy and convergence properties.

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“…The extensive use of computers and the concomitant development of numerical techniques have made precise analysis possible for practical problems and shifted attention from problem solving to modeling observed phenomena. The eventual aim is to develop the capability for making high-efficiency and precise simulators [1,5,6]. In order to achieve this goal, numerical techniques have developed and extended towards different directions, such as the numerical approach pertinent to differential equations [1,[7][8][9][10][11][12][13], the numerical stabilized formulation [14][15][16][17][18][19] and solution strategies, and etc..…”

Section: Introductionmentioning

confidence: 99%

A novel finite element two-step solution scheme for fully coupled hydro-mechanical processes in poroelastic media

Tang

et al. 2016

Computers and Geotechnics

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An unconditionally stable explicit and precise multiple timescale finite element modeling scheme for the fully coupled hydro-mechanical analysis of saturated poroelastic media

Cited by 18 publications

References 32 publications

Multi-timescale high-accuracy modeling of hydro-mechanically coupled processes in fluid-saturated poroelastic media

Multi-timescale high-accuracy modeling of hydro-mechanically coupled processes in fluid-saturated poroelastic media

A scaled boundary finite element formulation for poroelasticity

A novel finite element two-step solution scheme for fully coupled hydro-mechanical processes in poroelastic media

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