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Special Section on 2018 Clean Energy

# Mathematical Modeling of Fluid Flow to Unconventional Oil Wells With Radial Fractures and Its Testing With Field Data

[+] Author and Article Information
Xuejun Hou

Department of Petroleum Engineering,
Chongqing University of Science
and Technology,
Chongqing 401331, China
e-mail: xuejun_hou_2013@163.com

Xiaohui Zhang

Department of Petroleum Engineering,
University of Louisiana at Lafayette,
Lafayette, LA 70503
e-mail: zhangxiaohuiwolf@gmail.com

Boyun Guo

Department of Petroleum Engineering,
University of Louisiana at Lafayette,
Lafayette, LA 70503
e-mail: guo.boyun@gmail.com

Contributed by the Advanced Energy Systems Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received July 27, 2018; final manuscript received January 26, 2019; published online March 11, 2019. Assoc. Editor: Ashwani K. Gupta.

J. Energy Resour. Technol 141(7), 070702 (Mar 11, 2019) (7 pages) Paper No: JERT-18-1579; doi: 10.1115/1.4042714 History: Received July 27, 2018; Revised January 26, 2019

## Abstract

Radial fractures are created in unconventional gas and oil reservoirs in modern well stimulation operations such as hydraulic refracturing (HRF), explosive fracturing (EF), and high energy gas fracturing (HEGF). This paper presents a mathematical model to describe fluid flow from reservoir through radial fractures to wellbore. The model can be applied to analyzing angles between radial fractures. Field case studies were carried out with the model using pressure transient data from three typical HRF wells in a lower-permeability reservoir. The studies show a good correlation between observed well performance and model-interpreted fracture angle. The well with the highest productivity improvement by the HRF corresponds to the interpreted perpendicular fractures, while the well with the lowest productivity improvement corresponds to the interpreted conditions where the second fracture is much shorter than the first one or where there created two merged/parallel fractures. Result of the case studies of a tight sand reservoir supports the analytical model.

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## Figures

Fig. 1

Sketch of fractured reservoir volume after HRF

Fig. 2

Diagnostic plot for well AC233-30

Fig. 3

Diagnostic plot for well AC230-45

Fig. 4

Diagnostic plot for well AC229-43

Fig. 5

A sketch of radial fractures around a wellbore

## Errata

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