Abnormal Phenomena and Mathematical Model of Fluid Imbibition in a Capillary Tube

At present, the imbibition behavior in tight rocks has been attracted increasing attention since spontaneous imbibition plays an important role in unconventional oil and gas development, such as increasing swept area and enhancing recovery rate. However, it is difficult to describe the imbibition be...

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Main Authors: Wenquan Deng, Tianbo Liang, Shuai Yuan, Fujian Zhou, Junjian Li
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/15/14/4994
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author Wenquan Deng
Tianbo Liang
Shuai Yuan
Fujian Zhou
Junjian Li
author_facet Wenquan Deng
Tianbo Liang
Shuai Yuan
Fujian Zhou
Junjian Li
author_sort Wenquan Deng
collection DOAJ
description At present, the imbibition behavior in tight rocks has been attracted increasing attention since spontaneous imbibition plays an important role in unconventional oil and gas development, such as increasing swept area and enhancing recovery rate. However, it is difficult to describe the imbibition behavior through imbibition experiment using tight rock core. To characterize the imbibition behavior, imbibition and drainage experiments were conducted among water, oil, and gas phases in a visible circular capillary tube. The whole imbibition process is monitored using a microfluidic platform equipped with a high frame rate camera. This study conducts two main imbibition experiments, namely liquid-displacing-air and water-displacing-oil experiments. The latter is a spontaneous imbibition that the lower-viscosity liquid displaces the higher-viscosity liquid. For the latter, the tendency of imbibition rate with time does not match with previous model. The experimental results indicate that it is unreasonable to take no account of the effect of accumulated liquid flowing out of the capillary tube on imbibition, especially in the imbibition experiments where the lower-viscosity liquid displaces the higher-viscosity liquid. A mathematical model is established by introducing an additional force to describe the imbibition behavior in capillary tube, and the model shows a good prediction effect on the tendency of imbibition rate with time. This study discovers and analyzes the effect of additional force on imbibition, and the analysis has significances to understand the imbibition behavior in tight rocks.
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spelling doaj.art-542f05729bf441e9b4f8d6cc72a1bce22023-11-30T23:06:51ZengMDPI AGEnergies1996-10732022-07-011514499410.3390/en15144994Abnormal Phenomena and Mathematical Model of Fluid Imbibition in a Capillary TubeWenquan Deng0Tianbo Liang1Shuai Yuan2Fujian Zhou3Junjian Li4State Key Laboratory of Oil and Gas Resources and Prospecting, China University of Petroleum at Beijing, Beijing 102249, ChinaState Key Laboratory of Oil and Gas Resources and Prospecting, China University of Petroleum at Beijing, Beijing 102249, ChinaState Key Laboratory of Oil and Gas Resources and Prospecting, China University of Petroleum at Beijing, Beijing 102249, ChinaState Key Laboratory of Oil and Gas Resources and Prospecting, China University of Petroleum at Beijing, Beijing 102249, ChinaState Key Laboratory of Oil and Gas Resources and Prospecting, China University of Petroleum at Beijing, Beijing 102249, ChinaAt present, the imbibition behavior in tight rocks has been attracted increasing attention since spontaneous imbibition plays an important role in unconventional oil and gas development, such as increasing swept area and enhancing recovery rate. However, it is difficult to describe the imbibition behavior through imbibition experiment using tight rock core. To characterize the imbibition behavior, imbibition and drainage experiments were conducted among water, oil, and gas phases in a visible circular capillary tube. The whole imbibition process is monitored using a microfluidic platform equipped with a high frame rate camera. This study conducts two main imbibition experiments, namely liquid-displacing-air and water-displacing-oil experiments. The latter is a spontaneous imbibition that the lower-viscosity liquid displaces the higher-viscosity liquid. For the latter, the tendency of imbibition rate with time does not match with previous model. The experimental results indicate that it is unreasonable to take no account of the effect of accumulated liquid flowing out of the capillary tube on imbibition, especially in the imbibition experiments where the lower-viscosity liquid displaces the higher-viscosity liquid. A mathematical model is established by introducing an additional force to describe the imbibition behavior in capillary tube, and the model shows a good prediction effect on the tendency of imbibition rate with time. This study discovers and analyzes the effect of additional force on imbibition, and the analysis has significances to understand the imbibition behavior in tight rocks.https://www.mdpi.com/1996-1073/15/14/4994spontaneous imbibitionhydraulic fracturingmicrofluidicstight rock
spellingShingle Wenquan Deng
Tianbo Liang
Shuai Yuan
Fujian Zhou
Junjian Li
Abnormal Phenomena and Mathematical Model of Fluid Imbibition in a Capillary Tube
Energies
spontaneous imbibition
hydraulic fracturing
microfluidics
tight rock
title Abnormal Phenomena and Mathematical Model of Fluid Imbibition in a Capillary Tube
title_full Abnormal Phenomena and Mathematical Model of Fluid Imbibition in a Capillary Tube
title_fullStr Abnormal Phenomena and Mathematical Model of Fluid Imbibition in a Capillary Tube
title_full_unstemmed Abnormal Phenomena and Mathematical Model of Fluid Imbibition in a Capillary Tube
title_short Abnormal Phenomena and Mathematical Model of Fluid Imbibition in a Capillary Tube
title_sort abnormal phenomena and mathematical model of fluid imbibition in a capillary tube
topic spontaneous imbibition
hydraulic fracturing
microfluidics
tight rock
url https://www.mdpi.com/1996-1073/15/14/4994
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AT shuaiyuan abnormalphenomenaandmathematicalmodeloffluidimbibitioninacapillarytube
AT fujianzhou abnormalphenomenaandmathematicalmodeloffluidimbibitioninacapillarytube
AT junjianli abnormalphenomenaandmathematicalmodeloffluidimbibitioninacapillarytube