On the properties of compressible gas flow in a porous media

Ville, A. De

doi:10.1007/bf00161628

Cited by 27 publications

(13 citation statements)

References 11 publications

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“…This gas-expansion effect can cause a highly compressible flow to become choked. [3][4][5][6] Choking cannot be predicted from the Darcy-Forchheimer equation, and it is necessary to include gas acceleration in the momentum equation in order to explain such a phenomenon. [4][5][6] Thus, an appropriate model for a high pressure compressible gas flow near a wellbore should consider the gas acceleration effects.…”

Section: Introductionmentioning

confidence: 99%

“…[3][4][5][6] Choking cannot be predicted from the Darcy-Forchheimer equation, and it is necessary to include gas acceleration in the momentum equation in order to explain such a phenomenon. [4][5][6] Thus, an appropriate model for a high pressure compressible gas flow near a wellbore should consider the gas acceleration effects. Nield 5 derived such a model equation and it has been utilized by Ville 6 to study choking in one-dimensional and two-dimensional porous media flows.…”

Section: Introductionmentioning

confidence: 99%

“…[4][5][6] Thus, an appropriate model for a high pressure compressible gas flow near a wellbore should consider the gas acceleration effects. Nield 5 derived such a model equation and it has been utilized by Ville 6 to study choking in one-dimensional and two-dimensional porous media flows. It is also noted that Vadasz 7 and Straughan 8 included the time derivative term in their study on thermal convection problems in a porous medium, but their analyses were restricted to incompressible flows only.…”

Section: Introductionmentioning

confidence: 99%

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Short-time pressure response during the start-up of a constant-rate production of a high pressure gas well

Jin

Chen

et al. 2011

Physics of Fluids

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The start-up flow of a constant-rate production of a high pressure gas well is studied, with emphasis on the effect of gas acceleration. Gas acceleration is important in the near wellbore region for a high pressure gas in a high permeability formation. It is shown that when gas acceleration is important, the system of governing equations for the porous media flow becomes hyperbolic. In response to an impulsively imposed mass flow-rate, a steep pressure front is created at the wellbore and it propagates into the formation. This steep pressure front is trailed by large amplitude pressure waves. As they travel away from the wellbore, the pressure front becomes less steep and the amplitude of the trailing waves decreases due to viscous damping. It is found that the pressure drawdown experiences a rapid increase followed by an oscillatory behavior in short times before approaching the classical logarithmic rise regime. The pressure gradient at the wellbore wall can grow to a large magnitude in the early times, which can cause a tensile failure of the rock materials near the wellbore.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Short-time pressure response during the start-up of a constant-rate production of a high pressure gas well

Jin

Chen

et al. 2011

Physics of Fluids

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“…Furthermore, we include a mass source term to represent the mass produced by vaporization, an impulsion source term to represent interaction gas-silica in introducing Darcy's law and Forchheimer's law (De Ville, 1996;Macdonald et al, 1979;Teng and Zhao, 2000;Whitaker, 1996) and an energy source term to represent electrical energy and heat transfer between gas and silica sand grains describes by an empiric law depending on the process (Rohsenow et al, 1998;Jiang and Ren, 2001).…”

Section: Introductionmentioning

confidence: 99%

Mathematical model and simulation of gas flow through a porous medium in high breaking capacity fuses

Rochette

Clain

2004

International Journal of Heat and Fluid Flow

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“…Klinkenberg Effects of Gas Flow in Coal SeamsGas flow in porous media is quite different from liquid flow due to the large gas compressibility and the pressure-dependent effective permeability(Chan and Hughes 1993;Ville …”

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confidence: 99%

Mathematical Model of Coalbed Gas Flow with Klinkenberg Effects in Multi-Physical Fields and its Analytic Solution

Wang

Xiao-gang

et al. 2008

Transp Porous Med

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The deep-mining coal seam impacted by high in situ stress, where Klinkenberg effects for gas flow were very obvious due to low gas permeability, could be regarded as a porous and tight gas-bearing media. Moreover, the Klinkenberg effects had a significant effect on gas flow behavior of deep-mining coal seam. Based on the gas flow properties of deep-mining coal seams affected by in situ stress field, geothermal temperature field and geoelectric field, a new mathematical model of coalbed gas flow, which reflected the impact of Klinkenberg effects on coalbed gas flow properties in multi-physical fields, was developed by establishing the flow equation, state equation, and continuity equation and content equation of coalbed gas. The analytic solution was derived for the model of one-dimensional steady coalbed gas flow with Klinkenberg effects affected by in situ stress field and geothermal temperature field, and a sensitivity analysis of its physical parameters was carried out by comparing available analytic solutions and the measured values. The results show that the analytic solutions of this model of coalbed gas flow with Klinkenberg effects are closer to the measured values compared to those without Klinkenberg effects, and this model can reflect more accurately gas flow of deep-mining coal seams. Moreover, the analytic solution of this model is more sensitive to the change of Klinkenberg factor b and temperature grad G than depth h.Keywords Porous media · Klinkenberg effects · Multi-physical fields · Mathematical model of coalbed gas flow · Analytic solution Nomenclature A Ash of coal a Langmuir volume parameter, m 3 kg −1 123 408 G. Hu et al. b Klinkenberg factor, Pa c Langmuir pressure parameter, Pa −1 C 1 , C 2 Integral constant D 0 Gas diffusion coefficient when the pore pressure equals p 0 d Average coal micro-grain size of coal seam, m div Divergence of a vector E Electric intensity grad Gradient of a scalar h Depth, m K g Gas permeability of coal, m 2 K ∞ Absolute gas permeability under very high pressure, m 2 k σ 0 Value of K σ (0) when effective stress σ equals zero k T 0 Value of K T (0) when the temperature of coal theoretically equals zero L Oblique length of coal seam, L = h/ sin θ , m m Methane content reserved in the unit volume coal, m 3 m −3 m 0 Gas content in coal seam at initial time t 0 , m 3 m −3 m a Absorbed gas content in coal seam, m 3 m −3 m d Desorbable average gas content in coal seam, m 3 m −3 m f Free gas content, m 3 m −3

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On the properties of compressible gas flow in a porous media

Cited by 27 publications

References 11 publications

Short-time pressure response during the start-up of a constant-rate production of a high pressure gas well

Short-time pressure response during the start-up of a constant-rate production of a high pressure gas well

Mathematical model and simulation of gas flow through a porous medium in high breaking capacity fuses

Mathematical Model of Coalbed Gas Flow with Klinkenberg Effects in Multi-Physical Fields and its Analytic Solution

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