Technical Brief

A Mathematical Model and Inflow Control Effect Analysis of Inflow Control Devices Completed Horizontal Well

[+] Author and Article Information
Yongge Liu

School of Petroleum Engineering,
China University of Petroleum (East China),
Qingdao, Shandong 266580, China
e-mail: yg.leo@foxmail.com

Huiqing Liu

School of Petroleum Engineering,
China University of Petroleum (Beijing),
Beijing 102249, China
e-mail: lengyuexiaohan@yeah.net

Jian Hou

School of Petroleum Engineering,
China University of Petroleum (East China),
Qingdao, Shandong 266580, China
e-mail: houjian@upc.edu.cn

Qing Wang

School of Petroleum Engineering,
China University of Petroleum (Beijing),
Beijing 102249, China
e-mail: tianmiugo@foxmail.com

Kai Dong

Baker Hughes, Inc.,
Houston, TX 77073
e-mail: yg198706@163.com

1Corresponding author.

Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received September 29, 2015; final manuscript received August 23, 2016; published online October 6, 2016. Assoc. Editor: Egidio Marotta.

J. Energy Resour. Technol 139(3), 034501 (Oct 06, 2016) (8 pages) Paper No: JERT-15-1365; doi: 10.1115/1.4034759 History: Received September 29, 2015; Revised August 23, 2016

The main purpose of this paper is to analyze and compare the influence of nozzle size, uneven gravel packing, packer leakage, and dynamic production process on the inflow control effect. First, a new mathematical model of Inflow control devices (ICDs) completed horizontal well is proposed which has two new features. One feature is that the annulus between the sand control screen and the formation is considered. Therefore, the influence of uneven gravel packing can be simulated by adjusting the permeability distribution along the annulus. The other feature is that it accounts for packer leakage by introducing a new parameter named “leakage factor” into the model. Then, the inflow control efficiency is defined and used to quantitatively characterize the inflow control effect, and the influences of nozzle size, uneven gravel packing, packer leakage, and dynamic production process on inflow control efficiency are analyzed. The results show that the nozzle size and packer leakage have the biggest influence on the inflow control efficiency, and the influence of gravel packing is negligible unless the permeability of the packed gravel along the wellbore is extremely heterogeneous.

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Fig. 1

Structural schematic diagram of the three flow paths

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Fig. 2

Solving process of the mathematical models: (a) ICDs completed horizontal well model and (b) coupled model of the well and reservoir

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Fig. 3

Comparison of the result of the model in this paper and that of the commercial software eclipse

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Fig. 4

Comparison of the inflow profile: (a) gravel packing and on packing and (b) uneven packing

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Fig. 5

Comparison of axial flow rates and inflow profiles: (a) axial flow rate and (b) inflow profile

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Fig. 6

Curves of η: (a) nozzle size, (b) middle part's permeability, and (c) leakage factor

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Fig. 7

Schematic plot of the reservoir

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Fig. 8

Inflow profiles at different watercut stages: (a) water breakthrough, (b) watercut equals 30%, (c) watercut equals 50%, (d) watercut equals 70%, (e) watercut equals 90%, and (f) watercut equals 96%

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Fig. 9

Curves of η, watercut, and recovery: (a) η and watercut and (b) watercut and oil recovery



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