Nanoconfined Bulk-Gas Transport Behavior over a Wide Range of Knudsen Number

Shale matrix, located at Guizhou Province, is rich in nanopores, and gas slippage takes place during shale gas development, resulting in inapplicability of the classical Navier-Stokes equation. Investigation of gas transmission mechanism in nanoscale is helpful to reach a clear understanding of shal...

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Main Author: Yi Zhang
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Geofluids
Online Access:http://dx.doi.org/10.1155/2022/9944867
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author Yi Zhang
author_facet Yi Zhang
author_sort Yi Zhang
collection DOAJ
description Shale matrix, located at Guizhou Province, is rich in nanopores, and gas slippage takes place during shale gas development, resulting in inapplicability of the classical Navier-Stokes equation. Investigation of gas transmission mechanism in nanoscale is helpful to reach a clear understanding of shale gas production performance. On the basis of the Knudsen number, the gas flow mechanism is divided into continuous flow, slippage flow, transition flow, and Knudsen diffusion. Notably, the accurate characterization of transition flow is still challenging up to date. Although there are many established models, they either fail to cover all the flow mechanisms or contain many fitting parameters, the determination of which requires a large number of experimental and molecular simulation data, limiting application of the existing models. Therefore, establishment of bulk-gas transport model over a wide range of Knudsen number without fitting parameters is urgent. First of all, existed theoretical models are compared, and the advantages and disadvantages of previous contributions are analyzed. Weight factors of Knudsen diffusion and slippage flow are obtained, respectively, according to Knudsen’s model and Wu’s model. Then, a model, free of empirical coefficients, is proposed. After that, effects of pore size, reservoir pressure, and temperature on transmission capacity are investigated. As the proposed model does not contain fitting parameters and remains high accuracy over a wide range of Knudsen number, it shares broad application potential, like shale gas production prediction, reserve estimation in Guizhou Province.
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spelling doaj-art-7be29d762b0b4b52ab532c25ce33b1b32025-08-20T03:35:45ZengWileyGeofluids1468-81232022-01-01202210.1155/2022/9944867Nanoconfined Bulk-Gas Transport Behavior over a Wide Range of Knudsen NumberYi Zhang0College of Biology and Agriculture (College of Food Science and Technology)Shale matrix, located at Guizhou Province, is rich in nanopores, and gas slippage takes place during shale gas development, resulting in inapplicability of the classical Navier-Stokes equation. Investigation of gas transmission mechanism in nanoscale is helpful to reach a clear understanding of shale gas production performance. On the basis of the Knudsen number, the gas flow mechanism is divided into continuous flow, slippage flow, transition flow, and Knudsen diffusion. Notably, the accurate characterization of transition flow is still challenging up to date. Although there are many established models, they either fail to cover all the flow mechanisms or contain many fitting parameters, the determination of which requires a large number of experimental and molecular simulation data, limiting application of the existing models. Therefore, establishment of bulk-gas transport model over a wide range of Knudsen number without fitting parameters is urgent. First of all, existed theoretical models are compared, and the advantages and disadvantages of previous contributions are analyzed. Weight factors of Knudsen diffusion and slippage flow are obtained, respectively, according to Knudsen’s model and Wu’s model. Then, a model, free of empirical coefficients, is proposed. After that, effects of pore size, reservoir pressure, and temperature on transmission capacity are investigated. As the proposed model does not contain fitting parameters and remains high accuracy over a wide range of Knudsen number, it shares broad application potential, like shale gas production prediction, reserve estimation in Guizhou Province.http://dx.doi.org/10.1155/2022/9944867
spellingShingle Yi Zhang
Nanoconfined Bulk-Gas Transport Behavior over a Wide Range of Knudsen Number
Geofluids
title Nanoconfined Bulk-Gas Transport Behavior over a Wide Range of Knudsen Number
title_full Nanoconfined Bulk-Gas Transport Behavior over a Wide Range of Knudsen Number
title_fullStr Nanoconfined Bulk-Gas Transport Behavior over a Wide Range of Knudsen Number
title_full_unstemmed Nanoconfined Bulk-Gas Transport Behavior over a Wide Range of Knudsen Number
title_short Nanoconfined Bulk-Gas Transport Behavior over a Wide Range of Knudsen Number
title_sort nanoconfined bulk gas transport behavior over a wide range of knudsen number
url http://dx.doi.org/10.1155/2022/9944867
work_keys_str_mv AT yizhang nanoconfinedbulkgastransportbehavioroverawiderangeofknudsennumber