On some aspects of a nonlinear convection-diffusion equation arising in heat-induced moisture transport in porous media

Frydrychowicz, W.; Selvadurai, A. P. S.

doi:10.1016/0020-7225(95)00111-5

Cited by 5 publications

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References 14 publications

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“…Many researchers have examined infiltration problems using analytical solutions (e.g., Philip, 1969; Warrick, 1975; Batu, 1983; Pullan, 1990; Srivastava and Yeh, 1991; Basha, 1999, 2000; Tartakovsky et al, 1999; Schoups and Hopmans, 2002; Yuan and Lu, 2005; Selvadurai and Selvadurai, 2010). The analytical solutions to one‐, two‐, and three‐dimensional infiltration in unsaturated soils in single‐ and two‐layer systems usually use methods based on either an integral transform technique (Frydrychowicz and Selvadurai, 1996; Basha and Selvadurai, 1998; Chen et al, 2001; Huang and Wu, 2012) or Green's function techniques (Philip, 1986; Basha, 1999, 2000). Laplace transform techniques are used to obtain analytical solutions to one‐dimensional infiltration in single‐ and two‐layer unsaturated soils (Srivastava and Yeh, 1991).…”

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Two‐Dimensional Coupled Hydromechanical Modeling of Water Infiltration into a Transversely Isotropic Unsaturated Soil Region

Selvadurai

Huang

2013

Vadose Zone Journal

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The partial differential governing equation governing fluid infiltration into an unsaturated transversely isotropic porous medium was developed by considering mass conservation, Darcy's law, and the elastic deformability of the porous skeleton. Analytical solutions for two‐dimensional coupled infiltration in an unsaturated porous medium of finite extent were obtained using a Fourier transform technique. The analytical formulation was used to examine the two‐dimensional infiltration and evaporation problem for a transversely isotropic unsaturated porous medium. This study provides a comparison between the analytical solution and computational estimates for a two‐dimensional coupled infiltration problem in a transversely isotropic deformable porous region where there is recharge at the surface. The results indicate that the pressure head changes occur most rapidly when the unsaturated porous medium is hydraulically isotropic.

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Two‐Dimensional Coupled Hydromechanical Modeling of Water Infiltration into a Transversely Isotropic Unsaturated Soil Region

Selvadurai

Huang

2013

Vadose Zone Journal

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Heat-induced moisture transport in the vicinity of a spherical heat source

Basha

Selvadurai

1998

Int. J. Numer. Anal. Meth. Geomech.

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The present paper develops an analytical approach to the problem of heat-induced moisture movement in the vicinity of a spherical heat source embedded in an undeformable, moist porous solid of infinite extent. A transient-state distribution of temperature within the infinite medium is assumed to induce the moisture transport process. The numerical results, presented in the paper, illustrate the influence of the moisture transport characteristics on the time-dependent distribution of moisture within the porous medium. 1998 John Wiley & Sons, Ltd.

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