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Research Papers: Petroleum Engineering

A New Comprehensive Model for Predicting the Pressure Drop of Flow in the Horizontal Wellbore

[+] Author and Article Information
Quan Zhang

State Key Laboratory of Petroleum
Resource and Prospecting,
College of Petroleum Engineering,
China University of Petroleum-Beijing (CUP),
Beijing 102249, China
e-mail: zhangquan5258@163.com

Zhiming Wang

State Key Laboratory of Petroleum
Resource and Prospecting,
College of Petroleum Engineering,
China University of Petroleum-Beijing (CUP),
Beijing 102249, China
e-mail: wellcompletion@126.com

Xiaoqiu Wang, Jiankang Yang

State Key Laboratory of Petroleum
Resource and Prospecting,
College of Petroleum Engineering,
China University of Petroleum-Beijing (CUP),
Beijing 102249, China

1Now with PetroChina Tarim Oilfield Company, Korla, Xinjiang 841000, China.

2Corresponding author.

Contributed by the Petroleum Division of ASME for publication in the Journal of Energy Resources Technology. Manuscript received December 2, 2013; final manuscript received March 24, 2014; published online June 5, 2014. Assoc. Editor: W. David Constant.

J. Energy Resour. Technol 136(4), 042903 (Jun 05, 2014) (9 pages) Paper No: JERT-13-1333; doi: 10.1115/1.4027572 History: Received December 02, 2013; Revised March 24, 2014

Over the past two decades, the modeling of flow in a perforated pipe with influx through wall openings has been recognized as a key topic especially in the field of horizontal wells. In this paper, based on the theoretical analysis and previous research achievements, combining with the new measured data sets stemming from the large-scale experimental apparatus designed and constructed recently at China University of Petroleum (CUP), a new comprehensive model has been developed for the prediction of pressure drop regarding single-phase flow in horizontal perforated pipes with wall influx, in which new correlations for calculating the hydraulic friction factor and momentum correction factor of variable mass flow are given. The presented model is then implemented using the visual basic.net package and validated against two data sets obtained on single-phase water flow and single-phase oil flow. Predictions of the new model and frequently used Ouyang model are also compared based on the new experimental data. Results show that the model given in this article can not only properly represent the complex mechanisms of flow in the horizontal wellbore, such as the resistance caused by wall perforations and the drag reduction or so-called lubrication effect caused by wall injection, but also has a preferable prediction accuracy. Compared with the water flow data and the oil flow data, the absolute average percentage errors of the proposed model are, respectively, 4.5% and 5.0%, which demonstrates better performance and wider application range than Ouyang model.

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Figures

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Fig. 1

Schematic diagram of the control volume of flow in horizontal wellbore

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Fig. 2

Schematic diagram of the wellbore division

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Fig. 3

Model solving procedure

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Fig. 4

Ouyang model predictions versus the experimental data of water flow

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Fig. 5

The new model predictions versus the experimental data of water flow

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Fig. 6

Ouyang model predictions versus the experimental data of oil flow

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Fig. 7

The new model predictions versus the experimental data of oil flow

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