A two-phase mixture model of liquid-gas flow and heat transfer in capillary porous media—I. Formulation

Wang, Chaoyang; Beckermann, C.

doi:10.1016/0017-9310(93)90094-m

Cited by 180 publications

(23 citation statements)

References 24 publications

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“…Two-phase mixture model which was first mentioned by Wang and Beckermann [7] uses mixture variables to reduce the number of partial differential equations (PDEs) of classical two-phase fluid flow formulations in porous media. Therefore, it is more convenient to use the appropriate numerical schemes for the two-phase mixture model [7].…”

Section: Two-phase Mixture Modelmentioning

confidence: 99%

“…Therefore, it is more convenient to use the appropriate numerical schemes for the two-phase mixture model [7].…”

Section: Two-phase Mixture Modelmentioning

confidence: 99%

“…With introduction of the mixture quantities (see [7]) the conservation of mass with the porosity ( ) is defined as…”

Section: Two-phase Mixture Modelmentioning

confidence: 99%

“…Conservation of momentum using Darcy velocity is as follows in which the dynamic viscosity and the pressure are also mixture quantities (see [7]):…”

Section: Two-phase Mixture Modelmentioning

confidence: 99%

“…Exact solutions for two-phase fluid flow problems in porous media which involve gravity, capillarity, and fluid flow in two or three dimensions (multidimensional flow) are impossible due to inherent nonlinearity and the need to solve for multiple dependent variables along with a variety of unknowns. Solving practical problems requires a suitable numerical method [7]. A lot of authors have used numerical methods and software tools to model single-or two-phase fluid flow in porous and fractured media [11][12][13][14][15].…”

Section: Two-phase Mixture Modelmentioning

confidence: 99%

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Application of Numerical Modelling and Genetic Programming in Hydrocarbon Seepage Prediction and Control for Crude Oil Storage Unlined Rock Caverns

et al. 2017

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Seepage control is a prerequisite for hydrocarbon storage in unlined rock caverns (URCs) where the seepage of stored products to the surrounding host rock and groundwater can cause serious environmental and financial problems. Practically seepage control is performed by permeability and hydrodynamic control methods. This paper employs numerical modelling and genetic programming (GP) for the purpose of seepage prediction and control method determination for the crude oil storage URCs based on the effective parameters including hydrogeologic characteristic of the rock and physicochemical properties of the hydrocarbons. Several levels for each parameter were considered and all the possible scenarios were modelled numerically for the two-phase mixture model formulation. The corresponding seepage values were evaluated to be used as genetic programming data base to generate representative equations for the hydrocarbon seepage value. The coefficients of determination ( 2 ) and relative percent errors of the proposed equations show their ability in the seepage prediction and permeability or hydrodynamic control method determination and design. The results can be used for crude oil storage URCs worldwide.

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Section: Two-phase Mixture Modelmentioning

confidence: 99%

“…Therefore, it is more convenient to use the appropriate numerical schemes for the two-phase mixture model [7].…”

Section: Two-phase Mixture Modelmentioning

confidence: 99%

“…With introduction of the mixture quantities (see [7]) the conservation of mass with the porosity ( ) is defined as…”

Section: Two-phase Mixture Modelmentioning

confidence: 99%

“…Conservation of momentum using Darcy velocity is as follows in which the dynamic viscosity and the pressure are also mixture quantities (see [7]):…”

Section: Two-phase Mixture Modelmentioning

confidence: 99%

Section: Two-phase Mixture Modelmentioning

confidence: 99%

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Application of Numerical Modelling and Genetic Programming in Hydrocarbon Seepage Prediction and Control for Crude Oil Storage Unlined Rock Caverns

et al. 2017

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Mechanism and mathematical model of heat and mass transfer during convective drying of porous materials

Zhang

Yang

Liu

1999

Heat Trans. Asian Res.

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Based on classical analysis and conclusive comments about various kinds of drying models, a rigorously formulated and comprehensive theoretical model is established to describe heat and mass transfer during constant rate and falling rate periods in convective drying of porous materials. The concept of iterative correction is introduced, and a corresponding numerical method is developed for the moving boundary problem in numerical simulations of drying processes. The calculation results for the drying of bricks show that the model presented is more precise than other models. © 1999 Scripta Technica, Heat Trans Asian Res, 28(5): 337–351, 1999

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Study of the effect of wind speed on evaporation from soil through integrated modeling of the atmospheric boundary layer and shallow subsurface

et al. 2014

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In an effort to develop methods based on integrating the subsurface to the atmospheric boundary layer to estimate evaporation, we developed a model based on the coupling of Navier-Stokes free flow and Darcy flow in porous medium. The model was tested using experimental data to study the effect of wind speed on evaporation. The model consists of the coupled equations of mass conservation for two-phase flow in porous medium with single-phase flow in the free-flow domain under nonisothermal, nonequilibrium phase change conditions. In this model, the evaporation rate and soil surface temperature and relative humidity at the interface come directly from the integrated model output. To experimentally validate numerical results, we developed a unique test system consisting of a wind tunnel interfaced with a soil tank instrumented with a network of sensors to measure soil-water variables. Results demonstrated that, by using this coupling approach, it is possible to predict the different stages of the drying process with good accuracy. Increasing the wind speed increases the first stage evaporation rate and decreases the transition time between two evaporative stages (soil water flow to vapor diffusion controlled) at low velocity values; then, at high wind speeds the evaporation rate becomes less dependent on the wind speed. On the contrary, the impact of wind speed on second stage evaporation (diffusion-dominant stage) is not significant. We found that the thermal and solute dispersion in free-flow systems has a significant influence on drying processes from porous media and should be taken into account.

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A two-phase mixture model of liquid-gas flow and heat transfer in capillary porous media—I. Formulation

Cited by 180 publications

References 24 publications

Application of Numerical Modelling and Genetic Programming in Hydrocarbon Seepage Prediction and Control for Crude Oil Storage Unlined Rock Caverns

Application of Numerical Modelling and Genetic Programming in Hydrocarbon Seepage Prediction and Control for Crude Oil Storage Unlined Rock Caverns

Mechanism and mathematical model of heat and mass transfer during convective drying of porous materials

Study of the effect of wind speed on evaporation from soil through integrated modeling of the atmospheric boundary layer and shallow subsurface

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