A fully coupled thermo-hydro-mechanical model for simulating multiphase flow, deformation and heat transfer in buffer material and rock masses

Tong, Fuguo; Jing, Lanru; Zimmerman, Robert W.

doi:10.1016/j.ijrmms.2009.11.002

Cited by 118 publications

(56 citation statements)

References 49 publications

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“…A detailed derivation was presented by Tong et al (2010). The effects of deformation, thermal expansion (thermo-mechanical coupling between the solid, liquid and gas phases), and the effect of advection associated with the thermo-osmosis induced flow of the liquid and gas were ignored in the present analysis as they are not expected to be significant in tracer transport analyses.…”

Section: Heat Transport Equationmentioning

confidence: 99%

“…It is calculated according to IAPWS (1994), issued by the International Association for the Properties of Water and Steam (IAPWS). Considering that the change in water density usually is very small, in the present model, a simplified formula is adopted (Tong et al 2010), expressed as:…”

Section: Densitymentioning

confidence: 99%

“…The first part concerns the validation of the heat transport, which was presented by Tong et al (2009Tong et al ( , 2010, and is not repeated here. The second part is the verification of two-phase flow model, which is presented through comparisons against a semi-analytical solution and against numerical simulation results obtained with the TOUGH2/ECO2N model (Pruess 2005).…”

Section: Model Verification and Demonstrationmentioning

confidence: 99%

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A Numerical Model of Tracer Transport in a Non-isothermal Two-Phase Flow System for $${\text{ CO}}_2$$ Geological Storage Characterization

et al. 2013

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For the purpose of characterizing geologically stored CO 2 including its phase partitioning and migration in deep saline formations, different types of tracers are being developed. Such tracers can be injected with CO 2 or water, and their partitioning and/or reactive transfer from one phase to another can give information on the interactions between the two fluid phases and the development of their interfacial area. Kinetic rock-water interactions and geochemical reactions during two-phase flow of CO 2 and brine have been incorporated in numerical simulators (e.g., Xu et al., TOUGHREACT User's Guide: A Simulation Program for Non-isothermal Multiphase Reactive Geochemical Transport in Variably Saturated Geologic Media. LBNL Report 55460, V.1.2., Berkeley, CA, 2004). However, chemical equilibrium between the fluid phases is typically assumed, and multi-component, multiphase, non-isothermal codes for CO 2 -brine systems that incorporate kinetic mass transfer of tracers between the two fluid phases are not readily available. New models or further developments of existing models are therefore needed to provide the capability for interpreting the signals of novel tracers, including tracers with kinetic/time-dependent interface transfer. This paper presents such new numerical model of tracer transport in a non-isothermal two-phase flow system. The model consists of five different governing equations describing liquid phase (aqueous) flow, gas (CO 2 ) flow, heat transport and the movement of the tracers within the two phases, as well as allowing kinetic transport of the tracers between the two phases. A finite element method is adopted for the spatial discretization and a finite difference approach is used for temporal discretization. Some special technologies and solution strategies are adopted for increasing the convergence, ensuring the numerical stability and eliminating non-physical oscillations. The new numerical model is validated against the code TOUGH2/ECO2N as well as some analytical/semi-analytical solutions. Good agreement between the simulated and analytical results indicates that the model has capability to simulate two-phase flow and

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Section: Heat Transport Equationmentioning

confidence: 99%

Section: Densitymentioning

confidence: 99%

Section: Model Verification and Demonstrationmentioning

confidence: 99%

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A Numerical Model of Tracer Transport in a Non-isothermal Two-Phase Flow System for $${\text{ CO}}_2$$ Geological Storage Characterization

et al. 2013

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“…Full presentation of the all governing equations and constitutive equations for simulating general coupled THM behaviour of geological porous media, FEM formulation and structure of the code ROLG is included in a separate paper [27], and is not necessary for our present purpose. Here we just present the heat transport equation, since it is the most relevant governing equation.…”

Section: The Introduction Of Coupled Thm Model and Codementioning

confidence: 99%

An effective thermal conductivity model of geological porous media for coupled thermo-hydro-mechanical systems with multiphase flow

Tong¹,

Jing²,

Zimmerman³

2009

International Journal of Rock Mechanics and Mining Sciences

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139

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“…(1), (2), (5), (8), (16)- (20), (22), (24), (29), (34), (41), (44)-(46), and (50) in incremental form into the energy conservation equation of the whole mixture in incremental form, i.e., Eq. (4), yields…”

mentioning

confidence: 99%

Analysis of coupled thermo-hydro-mechanical behavior of unsaturated soils based on theory of mixtures I

Qin

Chen

Fang

et al. 2010

Appl. Math. Mech.-Engl. Ed.

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This paper analyzes a coupled thermo-hydro-mechanical behavior of unsaturated soils based on the theory of mixtures. Unsaturated soil is considered as a mixture composed of soil skeleton, liquid water, vapor, dry air, and dissolved air. In addition to the mass and momentum conservation equations of each component and the energy conservation equation of the mixture, the system is closed using other 37 constitutive (or restriction) equations. As the change in water chemical potential is identical to the change in vapor chemical potential, a thermodynamic restriction relationship for the phase transition between pore water and pore vapor is formulated, in which the impact of the change in gas pressure on the phase transition is taken into account. Six final governing equations are given in incremental form in terms of six primary variables, i.e., three displacement components of soil skeleton, water pressure, gas pressure, and temperature. The processes involved in the coupled model include thermal expansions of soil skeleton and soil particle, Soret effect, phase transition between water and vapor, air dissolution in pore water, and deformation of soil skeleton.

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A fully coupled thermo-hydro-mechanical model for simulating multiphase flow, deformation and heat transfer in buffer material and rock masses

Cited by 118 publications

References 49 publications

A Numerical Model of Tracer Transport in a Non-isothermal Two-Phase Flow System for $${\text{ CO}}_2$$ Geological Storage Characterization

A Numerical Model of Tracer Transport in a Non-isothermal Two-Phase Flow System for $${\text{ CO}}_2$$ Geological Storage Characterization

An effective thermal conductivity model of geological porous media for coupled thermo-hydro-mechanical systems with multiphase flow

Analysis of coupled thermo-hydro-mechanical behavior of unsaturated soils based on theory of mixtures I

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