Effect of Knudsen diffusion and Langmuir adsorption on pressure transient response in tight- and shale-gas reservoirs

Daolun Li, Chunyuan Xu, John Yilin Wang, Detang Lu

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

Klinkenberg number is not constant in tight- and shale-gas reservoir. We first derived an expression of b/. p in Klinkenberg apparent permeability correlation based on Knudsen number, which is a function of μ/. p in an isothermal shale-reservoir system. For pressure in [15. MPa, 30. MPa], μ/. p changes slowly and is very small, and the permeability correction factor is 1.15 for 17. MPa, 1.14 for 20. MPa, 1.12 for 28. MPa for the case in this paper.To characterize the physics of multi-transport mechanisms, and gas adsorption and desorption, a mathematical model for flow in tight- and shale-gas reservoirs with wellbore storage effect is used to understand transient pressure response. A full implicit numerical simulation based on PEBI gridding is developed to quantify the transient pressure behaviors for flow in tight- and shale-gas reservoirs. Based on numerical results, we firstly find that the adsorption makes the curves of the bottom-hole pressure (BHP) have a seeming singular point. The intrinsic permeability determines the position of the seeming singular point, and the ultimate adsorption capacity (UAC) determines the size of the angle around the seeming singular point. Because the turning points appear at early time flow, the position and angle of the seeming singular point may give us an economic and quick methodology to approximately estimate the UAC and intrinsic permeability for the tight- and shale-gas reservoir. This phenomenon can help us to understand the behavior of the flow in tight- and shale-gas reservoir better.

Original languageEnglish (US)
Pages (from-to)146-154
Number of pages9
JournalJournal of Petroleum Science and Engineering
Volume124
DOIs
StatePublished - Dec 1 2014

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Transient analysis
adsorption
Adsorption
permeability
Bottom hole pressure
Gas adsorption
Shale
Desorption
desorption
shale
physics
Physics
Shale gas
Tight gas
gas reservoir
effect
shale gas
Mathematical models
Economics
methodology

All Science Journal Classification (ASJC) codes

  • Fuel Technology
  • Geotechnical Engineering and Engineering Geology

Cite this

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title = "Effect of Knudsen diffusion and Langmuir adsorption on pressure transient response in tight- and shale-gas reservoirs",
abstract = "Klinkenberg number is not constant in tight- and shale-gas reservoir. We first derived an expression of b/. p in Klinkenberg apparent permeability correlation based on Knudsen number, which is a function of μ/. p in an isothermal shale-reservoir system. For pressure in [15. MPa, 30. MPa], μ/. p changes slowly and is very small, and the permeability correction factor is 1.15 for 17. MPa, 1.14 for 20. MPa, 1.12 for 28. MPa for the case in this paper.To characterize the physics of multi-transport mechanisms, and gas adsorption and desorption, a mathematical model for flow in tight- and shale-gas reservoirs with wellbore storage effect is used to understand transient pressure response. A full implicit numerical simulation based on PEBI gridding is developed to quantify the transient pressure behaviors for flow in tight- and shale-gas reservoirs. Based on numerical results, we firstly find that the adsorption makes the curves of the bottom-hole pressure (BHP) have a seeming singular point. The intrinsic permeability determines the position of the seeming singular point, and the ultimate adsorption capacity (UAC) determines the size of the angle around the seeming singular point. Because the turning points appear at early time flow, the position and angle of the seeming singular point may give us an economic and quick methodology to approximately estimate the UAC and intrinsic permeability for the tight- and shale-gas reservoir. This phenomenon can help us to understand the behavior of the flow in tight- and shale-gas reservoir better.",
author = "Daolun Li and Chunyuan Xu and Wang, {John Yilin} and Detang Lu",
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Effect of Knudsen diffusion and Langmuir adsorption on pressure transient response in tight- and shale-gas reservoirs. / Li, Daolun; Xu, Chunyuan; Wang, John Yilin; Lu, Detang.

In: Journal of Petroleum Science and Engineering, Vol. 124, 01.12.2014, p. 146-154.

Research output: Contribution to journalArticle

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AB - Klinkenberg number is not constant in tight- and shale-gas reservoir. We first derived an expression of b/. p in Klinkenberg apparent permeability correlation based on Knudsen number, which is a function of μ/. p in an isothermal shale-reservoir system. For pressure in [15. MPa, 30. MPa], μ/. p changes slowly and is very small, and the permeability correction factor is 1.15 for 17. MPa, 1.14 for 20. MPa, 1.12 for 28. MPa for the case in this paper.To characterize the physics of multi-transport mechanisms, and gas adsorption and desorption, a mathematical model for flow in tight- and shale-gas reservoirs with wellbore storage effect is used to understand transient pressure response. A full implicit numerical simulation based on PEBI gridding is developed to quantify the transient pressure behaviors for flow in tight- and shale-gas reservoirs. Based on numerical results, we firstly find that the adsorption makes the curves of the bottom-hole pressure (BHP) have a seeming singular point. The intrinsic permeability determines the position of the seeming singular point, and the ultimate adsorption capacity (UAC) determines the size of the angle around the seeming singular point. Because the turning points appear at early time flow, the position and angle of the seeming singular point may give us an economic and quick methodology to approximately estimate the UAC and intrinsic permeability for the tight- and shale-gas reservoir. This phenomenon can help us to understand the behavior of the flow in tight- and shale-gas reservoir better.

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