Constitutive equation of a gas-filled two-phase medium

Strzelecki, Tomasz; Bauer, J.; Auriault, Jean‐Louis

doi:10.1007/bf00617008

Cited by 7 publications

(5 citation statements)

References 3 publications

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“…The investigation of porous media with several porosities is of the greatest importance for many domains of applications, for instance, in petroleum engineering or in mining engineering. The latter concerns in particular the study of the coal-gas outbursts, to determine precisely the setting of factors that contribute to the occurrence of an outburst (Strzelecki et al, 1993). This phenomenon, which impedes coal mining, is the subject of intensive experimental and theoretic research.…”

Section: Resultsmentioning

confidence: 99%

Transient quasi-static gas flow through a rigid porous medium with double porosity

Royer

Auriault

1994

Transp Porous Med

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The highly compressible fl uid fl ow through a three-scales rigid porous medium (pore, fracture, macroscopic sample) is investigated using a homogenization method. The macroscopic description is strongly dependent on the separation of the different scales, and three cases are considered. The pores either play the role of a compressible fluid reservoir, introduce a memory effect, or are ignored, respectively. The homogenization result is compared to classical phenomenological models that are available in the case of slightly compressible fl uids. Pseudo-steady state models are shown to give a rough description of the phenomenon.(

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Section: Resultsmentioning

confidence: 99%

Transient quasi-static gas flow through a rigid porous medium with double porosity

Royer

Auriault

1994

Transp Porous Med

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“…The non-uniform scale presents constitutive relations in accordance with Bensoussan et al [4], Auriault et al [2], Strzelecki et al [20], Łydżba [17], [18], separately written for the solid and liquid phases of the REV element, additionally assuming the lack of flow on the border of the solid and liquid phases and introducing the condition of periodicity. Thanks to the use of asymptotic homogenization algorithms, one gains a macroscopic system of equations corresponding to those proposed by M.A Biot, with the ability to define the effective parameters of the …”

Section: Introductionmentioning

confidence: 93%

“…Using the assumptions for the construction of the relations for gas (dependence resulting from the Boyle-Mariotte law), provided in the work of Strzelecki et al [20]:…”

Section: Introductionmentioning

confidence: 99%

Non-Isothermal Constitutive Relations and Heat Transfer Equations of a Two-Phase Medium

Uciechowska-Grakowicz

Strzelecki

2017

Studia Geotechnica Et Mechanica

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Abstract:In the case of a two-phase medium -such as the soil, which consists of an elastic skeleton and is filled with pore fluids -stress and strain within the medium are dependent on both phases. Similarly, in the case of heat transfer, heat is conducted through the two phases at different rates, with an additional heat transfer between the phases. In the classical approach to modelling a porous medium, it is assumed that the fluid filling the pore space is water, which is incompressible. In the case of gas, the volume of which is strongly dependent on temperature and pressure, one should take this behavior into account in the constitutive relations for the medium. This work defines the physical relations of a two-phase medium and provides heat transfer equations, constructed for a porous, elastic skeleton with fluid-filled pores, which may be: liquid, gas, or mixture of liquid and a gas in non-isothermal conditions. The paper will present constitutive relations derived from the laws of irreversible thermodynamics, assuming that pores are filled with either a liquid or a gas. These relations, in the opinion of the authors, may be used as the basis for the construction of a model of the medium filled partly with a liquid and partly with a gas. It includes the possibility of independent heat transfer through any given two-phase medium phase, with the transfer of heat between the phases.

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“…• the medium is an undeformable two-phase one and is composed of undeformable frame and compressible, adhesive fluid filling the medium pores, • the medium is homogenous and isotropic, • dynamic effects are not taken into consideration, the process of flow is regarded as quasi-static, • the porosity of the medium is defined by, invariable during the process of flow, f -coefficient of cubical porosity, • the process of gas compression is defined by the equation of real gases state, • the function of dissipation, after Strzelecki et al [5], is a square form dependent on velocity of filtration flow, which may be expressed as follows…”

Section: Mathematical Model Of Filtration Flow Of Gasmentioning

confidence: 99%

Quick Sands Effect on Desert Lands – Example of Filtration Stability Loss

Strzelecki

2013

Studia Geotechnica Et Mechanica

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Abstract:The aim of the study was to analyze the loss of filtration stability of fine desert sands due to the air flow caused by temperature difference. The loss of stability induces the effect of so called "quick sands". Therefore, the calculations of air filtration through the loose sand medium in dry desert climate are presented. FlexPDE v.6. software was used for numerical calculation based on FEM.

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Constitutive equation of a gas-filled two-phase medium

Cited by 7 publications

References 3 publications

Transient quasi-static gas flow through a rigid porous medium with double porosity

Transient quasi-static gas flow through a rigid porous medium with double porosity

Non-Isothermal Constitutive Relations and Heat Transfer Equations of a Two-Phase Medium

Quick Sands Effect on Desert Lands – Example of Filtration Stability Loss

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