Boiling in Porous Media: Model and Simulations

Benard, Johann; Eymard, Robert; Nicolás, Xavier; Chavant, Clément

doi:10.1007/s11242-004-2594-9

Cited by 34 publications

(14 citation statements)

References 14 publications

(10 reference statements)

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“…Darcy's laws and Fick's laws are, respectively, taken into account to model the diffusion of the mixture (dry air and vapour) and the liquid, and the diffusion of the vapour in the mixture. See Bénard et al (2005) for a modelling of the heat and mass transfers within a porous medium, which takes into account phase transitions (without dry air). Assuming isothermal conditions, the model consists of two balance equations: dry air mass and water species mass (both liquid and vapour).…”

Section: Field Equation For Nondeformable Partially Saturated Porous mentioning

confidence: 99%

“…In the nonlinear case studied in this paper, the forward problem has been modelled by using finite volume method for space discretization, and finite differences for time integration. See Eymard et al (2000) for a presentation of the finite volume methods, and Bénard et al (2005) for application to thermal and hydraulical diffusion including phase changes. The identification method is based on the solution of an inverse problem.…”

Section: Introductionmentioning

confidence: 99%

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Permeability identification of a weakly permeable partially saturated porous rock

et al. 2006

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The present paper deals with the determination of permeability in partially saturated conditions for weakly permeable porous continua such as argillites or deep clayey formations. The permeability can be deduced from measurements of transient weight loss of a sample submitted to a laboratory drying test: a decrease of relative humidity is imposed by saline solution in an hermetic chamber. Assumptions of constant gas pressure equal to atmospheric pressure and of negligible Fickean diffusive transport of vapour are adopted. The only transport phenomenon taken into account inside the sample is the Darcean advective transport of the water liquid. The forward problem is solved by following two modelling approaches: a linear one and a nonlinear one. The parameter identification procedure is based upon the solution of corresponding inverse problems. In the two cases, the Levenberg-Marquardt algorithm has been used for the minimization problem. In the linear approach, the solution of the forward problem is explicit. In the non linear approach, finite volume method for the spatial discretization combined with a Newton-Raphson algorithm has been used to solve the non linear forward problem. The identification method enables variations of permeability and capillary capacity to be estimated. Comparisons between linear and non linear approaches show that the first one is useful to give mean values and order of magnitude of permeability and capacity. A more complete information is deduced from the non linear approach as variations of equivalent capacity and permeability during a test are significant in most cases. The analysis of the obtained results shows that the basic modelling assumption of constant gas pressure inside the sample would not be relevant for lower range of relative humidities and liquid permeability than those investigated.

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Section: Field Equation For Nondeformable Partially Saturated Porous mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Permeability identification of a weakly permeable partially saturated porous rock

et al. 2006

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“…Since the Stefan problem is based on a conservation equation, it has been shown that the use of the finite volume method, which satisfies a local conservation property, accurately respects the location of the moving boundary (see [4,15]). …”

Section: The Continuous Problemmentioning

confidence: 99%

Finite volume methods for the valuation of American options

Berton¹,

Eymard²

2006

ESAIM: M2AN

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Abstract.We consider the use of finite volume methods for the approximation of a parabolic variational inequality arising in financial mathematics. We show, under some regularity conditions, the convergence of the upwind implicit finite volume scheme to a weak solution of the variational inequality in a bounded domain. Some results, obtained in comparison with other methods on two dimensional cases, show that finite volume schemes can be accurate and efficient.Mathematics Subject Classification. 65M12.

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“…It is generally assumed that below a certain moisture content of approximately 5 vol.% no spalling will occur [1,2]. Numerous heat and mass transfer models have been used to predict the moisture transport and its consequences on the strength and permeability of the concrete [3][4][5][6][7][8]. However, these models are only of use if they can be validated.…”

Section: Introductionmentioning

confidence: 99%

Combined NMR moisture, temperature and pressure measurements during heating

Pel

Jaspers

Pereira

et al. 2013

MATEC Web of Conferences

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Abstract.For model validation, quantitative measurements of the evolution of moisture, temperature, and pressure distributions in time are needed. For this purpose, we have developed an NMR setup to measure the moisture transport in heated building materials. The measured combined moisture content and temperature profiles give a unique insight in the moisture transport and dehydration kinetics inside concrete during fire. These measurements give the first quantitative proof for the build-up of a moisture peak due to the vapor pressure build-up. In this study we have also combined for the first time the measurement of the moisture and temperature profiles with the measurement of the pressure at one position, which show that the pressure build up is directly related to the moisture profiles.

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Boiling in Porous Media: Model and Simulations

Cited by 34 publications

References 14 publications

Permeability identification of a weakly permeable partially saturated porous rock

Permeability identification of a weakly permeable partially saturated porous rock

Finite volume methods for the valuation of American options

Combined NMR moisture, temperature and pressure measurements during heating

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