Single- and two-phase flow model in low-permeability reservoir

In petroleum development, low-permeability reservoir means having permeability of porous media lower than 50 micro-Darcy. The mathematical model of liquid flow in low-permeability reservoirs has been difficult to describe for a long time, and an ideal model has not been available until now because o...

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Main Authors: Song Fuquan, Song Xingxing, Wang Yong, Sun Yeheng
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2019-06-01
Series:Petroleum
Online Access:http://www.sciencedirect.com/science/article/pii/S2405656117301281
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author Song Fuquan
Song Xingxing
Wang Yong
Sun Yeheng
author_facet Song Fuquan
Song Xingxing
Wang Yong
Sun Yeheng
author_sort Song Fuquan
collection DOAJ
description In petroleum development, low-permeability reservoir means having permeability of porous media lower than 50 micro-Darcy. The mathematical model of liquid flow in low-permeability reservoirs has been difficult to describe for a long time, and an ideal model has not been available until now because of the threshold pressure gradient. With the boundary adhesion layer model of a micro-channel as basis, a new liquid flow model was derived for low-permeability reservoirs in this study. The no-movement liquid layer close to the solid surface was defined as the boundary adhesion layer regarded as the negative slip length. Using the exponential function of the boundary stick layer to the pressure drop gradient, the formulae of the liquid velocity and flow rate of a round channel were derived. The liquid flows model in low permeability reservoirs was then obtained. Finally, the flow model was tested by examples, and applications to a low-permeability reservoir were demonstrated. The analysis results show that the new non-linear model of liquid flows exhibits clear physical definition, and can be easily used to describe liquid flows in low-permeability media. Keywords: Low-permeability reservoirs, Non-linear flow, Boundary adhesion layer, Model of liquid flows
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spelling doaj.art-64fc738d4e76497294b5a789c24a84b72022-12-21T19:54:37ZengKeAi Communications Co., Ltd.Petroleum2405-65612019-06-0152183190Single- and two-phase flow model in low-permeability reservoirSong Fuquan0Song Xingxing1Wang Yong2Sun Yeheng3Petro-Chem. and Resource Eng. College, Zhejiang Ocean University, Zhoushan 316022, China; Corresponding author.Petro-Chem. and Resource Eng. College, Zhejiang Ocean University, Zhoushan 316022, ChinaShengli Oilfield Company of China Petroleum & Chemical Co., Ltd, ChinaShengli Oilfield Company of China Petroleum & Chemical Co., Ltd, ChinaIn petroleum development, low-permeability reservoir means having permeability of porous media lower than 50 micro-Darcy. The mathematical model of liquid flow in low-permeability reservoirs has been difficult to describe for a long time, and an ideal model has not been available until now because of the threshold pressure gradient. With the boundary adhesion layer model of a micro-channel as basis, a new liquid flow model was derived for low-permeability reservoirs in this study. The no-movement liquid layer close to the solid surface was defined as the boundary adhesion layer regarded as the negative slip length. Using the exponential function of the boundary stick layer to the pressure drop gradient, the formulae of the liquid velocity and flow rate of a round channel were derived. The liquid flows model in low permeability reservoirs was then obtained. Finally, the flow model was tested by examples, and applications to a low-permeability reservoir were demonstrated. The analysis results show that the new non-linear model of liquid flows exhibits clear physical definition, and can be easily used to describe liquid flows in low-permeability media. Keywords: Low-permeability reservoirs, Non-linear flow, Boundary adhesion layer, Model of liquid flowshttp://www.sciencedirect.com/science/article/pii/S2405656117301281
spellingShingle Song Fuquan
Song Xingxing
Wang Yong
Sun Yeheng
Single- and two-phase flow model in low-permeability reservoir
Petroleum
title Single- and two-phase flow model in low-permeability reservoir
title_full Single- and two-phase flow model in low-permeability reservoir
title_fullStr Single- and two-phase flow model in low-permeability reservoir
title_full_unstemmed Single- and two-phase flow model in low-permeability reservoir
title_short Single- and two-phase flow model in low-permeability reservoir
title_sort single and two phase flow model in low permeability reservoir
url http://www.sciencedirect.com/science/article/pii/S2405656117301281
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AT songxingxing singleandtwophaseflowmodelinlowpermeabilityreservoir
AT wangyong singleandtwophaseflowmodelinlowpermeabilityreservoir
AT sunyeheng singleandtwophaseflowmodelinlowpermeabilityreservoir