A Coupling Difference Scheme of Thermo-Hydro-Mechanical Model on Unsaturated Porous Media

Hong Zhi Lu; Tang Wei Liu

doi:10.4028/www.scientific.net/AMM.723.205

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Characteristics of Flow around a Modified Square Prism
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The Concept and the Contents of Process Fluid Mechanics
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A New Type of Joint and its Numerical Analysis
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A Coupling Difference Scheme of Thermo-Hydro-Mechanical Model on Unsaturated Porous Media
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Active Set Algorithm Applied to Discrete Mechanics and Optimal Control for Constrained Systems
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Dynamical Equations of Flexible Multibody Systems under Lie Group Framework
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Low-Speed Preconditioning for AUSM+-Up Scheme
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 723A Coupling Difference Scheme of...

A Coupling Difference Scheme of Thermo-Hydro-Mechanical Model on Unsaturated Porous Media

Abstract:

The main innovation of this paper includes two parts. One part is the discrete formulas of Thermo-hydro-mechanical (THM) coupling equations and another part is the discussion of the truncation errors based on the Taylor formula. There are many THM coupling problems in unsaturated soils, which are very important in both theoretical and engineering applications. The numerical computing of coupling equations is increasingly important. Considering the deformation of unsaturated soils skeleton, fluid flow and heat transfer, constitutive relationships of the THM coupled behavior are given. Then, the constitutive equations are derived and a closed problem is formed. The equations are dispersed by difference method and the truncation errors of the discrete formulas are given.

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Periodical:

Applied Mechanics and Materials (Volume 723)

Pages:

205-209

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.723.205

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Online since:

January 2015

Authors:

Hong Zhi Lu, Tang Wei Liu*

Keywords:

Difference Scheme, Porous Media, THM Coupling Model, Truncation Errors Analysis

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* - Corresponding Author

References

[1] Guihua Long, Xiaofan Li, The application of Staggered-Grid Fourier Pseudo Spectral differentiation operator in wave-field modeling[J]. Chinese Journal of Geophysics, 52(1): 193-199(2009).

Google Scholar

[2] Weitao Sun, The Finite Difference Numerical Method of Elastic Equation, Tsinghua University Press, Beijing, (2009).

Google Scholar

[3] Suochun Zhang, The Finite Difference Numerical Calculation of Parabolic Equations' Definite Solution Problems, Science Press, Beijing, (2010).

Google Scholar

[4] Guoqing Cai, Preliminary study on modeling thermo-hydro-mechanical coupling behavior of unsaturated soils based on hybrid mixture theory [J]. Poromechanics V © ASCE (2013), 1444-1453.

DOI: 10.1061/9780784412992.172

Google Scholar

[5] Wang Y, Xu J, Gerard T S, Viscoelastic wave simulation in basins by a Variable-Grid finite-difference method [J]. Bull. Seismol. Soc. Am., 91(6): 1741-1749 (2001).

DOI: 10.1785/0120000236

Google Scholar

[6] Shin Aoi, Hiroyuki Fujiwara, 3D finite-difference method using discontinuous grids [J]. Bull. Seismol. Soc. Am., 89: 918-930(1999).

DOI: 10.1785/bssa0890040918

Google Scholar

[7] Thomas B, Erik H S, Accuracy of heterogeneous Staggered-Grid finite-difference modeling of Rayleigh waves [J]. Geophysics, 71(4), 109-115(2006).

DOI: 10.1190/1.2213051

Google Scholar

[8] Adkins J. E., Non-linear diffusion: diffusion and flow of mixtures of fluids, Phil. Trans. R. Soc. Lond. A255: 607-633(1963).

DOI: 10.1098/rsta.1963.0013

Google Scholar