Coupled Temperature/Capillary Potential Variations in Unsaturated Soil

Thomas, Hywel Rhys; King, S. D.

doi:10.1061/(asce)0733-9399(1991)117:11(2475)

Cited by 74 publications

(20 citation statements)

References 10 publications

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“…This then enables % d j 2 to be computed directly from Equation (16). The advantage of the approach proposed is thus revealed.…”

Section: Finite-element Formulationmentioning

confidence: 95%

“…Details of the formulation adopted in this paper have been presented elsewhere in considerable detail [5,6,16]. Therefore only brief salient highlights will be given here.…”

Section: Theoretical Formulationmentioning

confidence: 99%

“…In this new approach for the substructuring-based parallel computation, P 1 and P 2 can then be used directly to recover the solution of the internal terms in Equation (16). is a coupled matrix associated with internal and interface nodal points.…”

Section: The New Substructuring Techniquementioning

confidence: 99%

See 2 more Smart Citations

A multi‐level parallelized substructuring‐frontal solution for coupled thermo/hydro/mechanical problems in unsaturated soil

Thomas¹,

Yang²,

He³

et al. 2003

Num Anal Meth Geomechanics

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SUMMARYThis paper proposes a multi-level parallelized substructuring-frontal combined algorithm for the analysis of the problem of thermo/hydraulic/mechanical behaviour of unsaturated soil. Temperature, displacement, pore water pressure and pore air pressure are treated as the primary variables in a non-linear analysis. Details are given firstly of the substructuring-frontal combined approach. The incorporation of the algorithm in a multi-level parallel strategy is then discussed. The parallel processing can thus be carried out at different substructural levels. The method thus developed impacts, in a positive way, on both computer storage requirement and execution time.

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“…This then enables % d j 2 to be computed directly from Equation (16). The advantage of the approach proposed is thus revealed.…”

Section: Finite-element Formulationmentioning

confidence: 95%

“…Details of the formulation adopted in this paper have been presented elsewhere in considerable detail [5,6,16]. Therefore only brief salient highlights will be given here.…”

Section: Theoretical Formulationmentioning

confidence: 99%

See 1 more Smart Citation

A multi‐level parallelized substructuring‐frontal solution for coupled thermo/hydro/mechanical problems in unsaturated soil

Thomas¹,

Yang²,

He³

et al. 2003

Num Anal Meth Geomechanics

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show abstract

“…The development of modeling techniques for THM method has benefited from the advances in multiphysics research and simulation tools. For example, there are a substantial number of papers about the coupled thermohydro-mechanical (THM) model or thermo-hydromechanical-chemical model (THMC) for rocks and soils [2,44,49,50,[58][59][60][61][62]. Noteworthily, these models were developed either from the non-isothermal consolidation of deformable porous media or from an extension to Biot's phenomenological model and generally did not consider the phase change of water (i.e., freezing/thawing phenomena) in porous media.…”

Section: Introductionmentioning

confidence: 99%

Coupled thermo-hydro-mechanical model for porous materials under frost action: theory and implementation

Liu

2011

Acta Geotech.

118

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This paper introduces the development and implementation of a multiphysical model to simulate the coupled hydro-thermo-mechanical processes in freezing unsaturated porous materials. The model couples the Fourier's law for heat transfer, the generalized Richards' equation for fluid transfer in unsaturated media, and the mechanical constitutive relationship. Coupling parameters were defined to transfer information between field variables. Relationships, such as the similarity between drying and freezing processes and the Clapeyron equation for thermodynamic equilibrium during phase transition, were utilized to describe the effects of frost action. The coupled nonlinear partial differential equation system was solved under typical boundary conditions. The simulation results indicate that the model properly captured the coupling characteristics such as the thermally induced hydraulic and mechanical change in porous materials. Simulation was also conducted on an instrumented pavement section. The results of multiphysical simulations match reasonably well with the field-monitoring data.

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“…Equation (8), presented on p. 679, provides a basic de®nition of moisture velocity, which inherently contains the effect of a temperature gradient, should one exist. The method by which equation (8) is developed to accommodate components of¯ow due to a moisture content and temperature gradient (Ewen & Thomas, 1989) or a potential and temperature gradient (Thomas & King, 1991) has been presented in detail previously by the senior author and co-workers. Again, due to limitations of space, it was not considered appropriate to repeat all the details in this paper.…”

Section: Authors' Replymentioning

confidence: 99%

Discussion: Analysis of coupled heat, moisture and air transfer in a deformable unsaturated soil

Thomas¹,

He²

1997

Géotechnique

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Coupled Temperature/Capillary Potential Variations in Unsaturated Soil

Cited by 74 publications

References 10 publications

A multi‐level parallelized substructuring‐frontal solution for coupled thermo/hydro/mechanical problems in unsaturated soil

A multi‐level parallelized substructuring‐frontal solution for coupled thermo/hydro/mechanical problems in unsaturated soil

Coupled thermo-hydro-mechanical model for porous materials under frost action: theory and implementation

Discussion: Analysis of coupled heat, moisture and air transfer in a deformable unsaturated soil

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