Solution of liquid-gas-solid coupled equations for porous media considering dynamics and hysteretic retention behavior

Pedroso, Dorival M., Zhang, Yunpeng and Ehlers, Wolfgang (2017) Solution of liquid-gas-solid coupled equations for porous media considering dynamics and hysteretic retention behavior. Journal of Engineering Mechanics, 143 6: . doi:10.1061/(ASCE)EM.1943-7889.0001208


Author Pedroso, Dorival M.
Zhang, Yunpeng
Ehlers, Wolfgang
Title Solution of liquid-gas-solid coupled equations for porous media considering dynamics and hysteretic retention behavior
Journal name Journal of Engineering Mechanics   Check publisher's open access policy
ISSN 0733-9399
1943-7889
Publication date 2017-06-01
Sub-type Article (original research)
DOI 10.1061/(ASCE)EM.1943-7889.0001208
Open Access Status Not yet assessed
Volume 143
Issue 6
Total pages 26
Place of publication Reston, VA, United States
Publisher American Society of Civil Engineers
Language eng
Abstract This paper presents a solution procedure based on the finite element method for the three-constituent coupled problem representing the behavior of unsaturated porous media. A formulation is derived from the theory of porous media considering the dynamic behavior, the balance of momenta of porous liquid, porous gas, and solid porous matrix. The hysteresis of the liquid retention behavior is also modeled. A retention model able to smoothly represent the transition from maximum saturation to partially saturated states, and vice versa, is considered. With these features, the resulting system of equations is fairly complex; however an efficient, stable, and accurate numerical method is developed for its solution. The derivation of consistent tangent operators of first and second order to obtain quadratic convergence is presented in addition to all details to properly implement the numerical solver, e.g., consistent treatment of initial conditions. Finally, a number of numerical experiments are studied in order to illustrate the model capabilities in particular with regard to the influence of gas pressure on the unsaturated porous media behavior.
Keyword Coupled problems
Finite element method
Gas
Hysteresis
Liquid-gas-solid
Porous media
Unsaturated soils
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
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