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Numerical investigation of a coupled moving boundary model of radial flow in low-permeable stress-sensitive reservoir with threshold pressure gradient |
Wen-Chao Liu(刘文超), Yue-Wu Liu(刘曰武), Cong-Cong Niu(牛丛丛), Guo-Feng Han(韩国锋), Yi-Zhao Wan(万义钊) |
Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China |
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Abstract The threshold pressure gradient and formation stress-sensitive effect as the two prominent physical phenomena in the development of a low-permeable reservoir are both considered here for building a new coupled moving boundary model of radial flow in porous medium. Moreover, the wellbore storage and skin effect are both incorporated into the inner boundary conditions in the model. It is known that the new coupled moving boundary model has strong nonlinearity. A coordinate transformation based fully implicit finite difference method is adopted to obtain its numerical solutions. The involved coordinate transformation can equivalently transform the dynamic flow region for the moving boundary model into a fixed region as a unit circle, which is very convenient for the model computation by the finite difference method on fixed spatial grids. By comparing the numerical solution obtained from other different numerical method in the existing literature, its validity can be verified. Eventually, the effects of permeability modulus, threshold pressure gradient, wellbore storage coefficient, and skin factor on the transient wellbore pressure, the derivative, and the formation pressure distribution are analyzed respectively.
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Received: 12 May 2015
Revised: 25 September 2015
Accepted manuscript online:
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PACS:
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47.11.Bc
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(Finite difference methods)
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47.56.+r
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(Flows through porous media)
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02.70.Bf
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(Finite-difference methods)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51404232), the China Postdoctoral Science Foundation (Grant No. 2014M561074), and the National Science and Technology Major Project, China (Grant No. 2011ZX05038003). |
Corresponding Authors:
Yue-Wu Liu
E-mail: liuyuewulxs@126.com
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Cite this article:
Wen-Chao Liu(刘文超), Yue-Wu Liu(刘曰武), Cong-Cong Niu(牛丛丛), Guo-Feng Han(韩国锋), Yi-Zhao Wan(万义钊) Numerical investigation of a coupled moving boundary model of radial flow in low-permeable stress-sensitive reservoir with threshold pressure gradient 2016 Chin. Phys. B 25 024701
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[1] |
Prada A and Civan F 1999 J. Pet. Sci. Eng. 22 237
|
[2] |
Song F Q, Jiang R J and Bian S L 2007 Chin. Phys. Lett. 24 1995
|
[3] |
Xiong W, Lei Q, Gao S S, Hu Z M and Xue H 2009 Petroleum Exploration and Development 36 232
|
[4] |
Yue X A, Wei H G, Zhang L J, Zhao R B and Zhao Y P 2010 Transport Porous Med. 85 333
|
[5] |
Yu R Z, Lei Q, Yang Z M and Bian Y N 2010 Chin. Phys. Lett. 27 024704
|
[6] |
Song F Q, Wang J D and Liu H L 2010 Chin. Phys. Lett. 27 024704
|
[7] |
Yao Y and Ge J 2011 Pet. Sci. 8 55
|
[8] |
Cai J C and Yu B M 2011 Transport Porous Med. 89 251
|
[9] |
Guo J J, Zhang S, Zhang L H, Qing H R and Liu Q G 2012 Journal of Hydrodyn. Ser. B 24 561
|
[10] |
Yao J, Liu W C and Chen Z X 2013 Math. Probl. Eng. 2013 384246
|
[11] |
Cai J C 2014 Chin. Phys. B 23 044701
|
[12] |
Cai J C, Perfect E, Cheng C L and Hu X Y 2014 Langmuir 30 5142
|
[13] |
Tan X H, Li X P, Zhang L H, Liu J Y and Cai J C 2015 Int. J. Mod. Phys. C 26 1550045
|
[14] |
Zhu W Y, Song H Q, Huang X H, Liu X, He D B and Ran Q Q 2011 Energy & Fuels 25 1111
|
[15] |
Zhu Y, Xie J Z, Yang W H and Hou L H 2008 Petroleum Exploration and Development 35 225
|
[16] |
Yin D Y and Pu H 2008 J. Hydrodyn. Ser. B 20 492
|
[17] |
Liu W C, Yao J and Wang Y Y 2012 Int. J. Heat Mass Transfer 55 6017
|
[18] |
Wang H, Wang G, Chen Z and Wong R C K 2010 J. Petrol. Sci. Eng. 75 240
|
[19] |
Zhang L H, Guo J J and Liu Q G 2010 Pet. Sci. 7 524
|
[20] |
Jasinge D, Ranjith P G and Choi S K 2011 Fuel 90 1292
|
[21] |
Zhang L H, Guo J J and Liu Q G 2011 J. Hydrodyn. Ser. B 23 759
|
[22] |
Wu Y S and Pruess K 2000 Int. J. Rock Mech. Min. Sci. 37 51
|
[23] |
Chen D, Pan Z and Ye Z 2015 Fuel 139 383
|
[24] |
Wu Y S, Pruess K and Witherspoon P A 1992 SPE Reservoir Engineering 7 369
|
[25] |
Lu J 2012 Special Topics & Reviews in Porous Media-An International Journal 3 307
|
[26] |
Liu W C, Yao J and Chen Z X 2014 Acta Mech. Sin. 30 50
|
[27] |
Li F H and Liu C Q 1997 Well Testing 6 1
|
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