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

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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Roussel, N. P. , and Sharma, M. M. , 2010, “ Quantifying Transient Effects in Altered-Stress Refracturing of Vertical Wells,” SPE J., 15(3), pp. 770–782. [CrossRef]
Strother, D. , Valadares, R. , Nakhwa, A. D. , and Pitcher, J. L. , 2013, “ Challenges of Refracturing Horizontal Wells in Unconventional and Tight Reservoirs,” SPE Unconventional Resources Conference and Exhibition-Asia Pacific, Brisbane, Australia, Nov. 11–13, SPE Paper No. SPE-167000-MS.
Khusainov, R. , Ganiev, B. , Karimova, A. , and Karpova, O. , 2014, “ Refracturing Is the Best Way to Develop Hard-to-Recover Reserves in Romashkino Oilfield Conditions,” SPE Russian Oil and Gas Exploration and Production Technical Conference and Exhibition, Moscow, Russia, Oct. 14–16, SPE Paper No. SPE-171155-RU.
Urban, E. , Orozco, D. , Fragoso, A. , Selvan, K. , and Aguilera, R. , 2016, “ Refracturing vs. Infill Drilling—A Cost Effective Approach to Enhancing Recovery in Shale Reservoirs,” Unconventional Resources Technology Conference, San Antonio, TX, Aug. 1–3, pp. 2934–2953. https://library.seg.org/doi/abs/10.15530/urtec-2016-2461604
Zhang, F. , and Mack, M. , 2017, “ Integrating Fully Coupled Geomechanical Modeling With Microsesmicity for the Analysis of Refracturing Treatment,” J. Nat. Gas Sci. Eng., 46, pp. 16–25. [CrossRef]
Waters, G. , Ramakrishnan, H. , Daniels, J. , Bentley, D. , Belhadi, J. , and Sparkman, D. , 2009, “ Utilization of Real Time Microseismic Monitoring and Hydraulic Fracture Diversion Technology in the Completion of Barnett Shale Horizontal Wells,” Offshore Technology Conference, Houston, TX, May 4–7, Paper No. OTC-20268-MS.
Siebrits, E. , Elbel, J. L. , Hoover, R. S. , Diyashev, I. R. , Griffin, L. G. , Demetrius, S. L. , Wright, C. A. , Davidson, B. M. , Steinsberger, N. P. , and Hill, D. G. , 2000, “ Refracture Reorientation Enhances Gas Production in Barnett Shale Tight Gas Wells,” SPE Annual Technical Conference and Exhibition, Dallas, TX, Oct. 1–4, SPE Paper No. SPE-63030-MS.
Zhai, Z. , and Sharma, M. M. , 2007, “ Estimating Fracture Reorientation Owing to Long Term Fluid Injection/Production,” Production and Operations Symposium, Oklahoma City, OK, Mar. 31–Apr. 3, SPE Paper No. SPE-106387-MS.
Rongved, M. , Holt, R. M. , Bauer, A. , and Larsen, I. , 2017, “ Numerical Simulations of Fracture Reorientation in the Vicinity of a Producer,” 51st U.S. Rock Mechanics/Geomechanics Symposium, San Francisco, CA, June 25–28, Paper No. ARMA-2017-0715. https://www.onepetro.org/conference-paper/ARMA-2017-0715
Wang, S. , Zhang, G. , He, X. , Liu, X. , Hou, F. , and Cui, T. , 2007, “ Case Studies of Propped Refracture Reorientation in the Daqing Oil Field,” SPE Hydraulic Fracturing Technology Conference, College Station, TX, Jan. 29–31, SPE Paper No. SPE-106140-MS.
Wolhart, S. L. , McIntosh, G. E. , Zoll, M. B. , and Weijers, L. , 2007, “ Surface Tiltmeter Mapping Shows Hydraulic Fracture Reorientation in the Codell Formation,” SPE Annual Technical Conference and Exhibition, Anaheim, CA, Nov. 11–14, SPE Paper No. SPE-110034-MS.
Siebrits, E. , Elbel, J. L. , Detournay, E. , Detournay-Piette, C. , Christianson, M. , Robinson, B. M. , and Diyashev, I. R. , 1998, “ Parameters Affecting Azimuth and Length of a Secondary Fracture During a Refracture Treatment,” SPE Annual Technical Conference and Exhibition, New Orleans, LA, Sept. 27–30, SPE Paper No. SPE-48928-MS.
Wright, C. A. , Conant, R. A. , Golich, G. M. , Bondor, P. L. , Murer, A. S. , and Dobie, C. A. , 1995, “ Hydraulic Fracture Orientation and Production/Injection Induced Reservoir Stress Changes in Diatomite Waterfloods,” SPE Western Regional Meeting, Bakersfield, CA, Mar. 8–10, SPE Paper No. SPE-29625-MS.
Yao, F. , Weng, D. , Li, Y. , Yu, Y. , and Hou, F. , 2007, “ Reorientation Refracturing Case Study,” Production and Operations Symposium, Oklahoma City, OK, Mar. 31–Apr. 3, SPE Paper No. SPE-106595-MS.
Roussel, N. P. , and Sharma, M. M. , 2013, “ Selecting Candidate Wells for Refracturing Using Production Data,” SPE Annual Technical Conference and Exhibition, Denver, CO, Oct. 30–Nov. 2, SPE Paper No. SPE-146103-MS.
Plata, M. J., Castillo, R. D. , and Mendoza, S. A. , 2012, “ High Energy Gas Fracturing: A Technique of Hydraulic Prefracturing to Reduce the Pressure Losses by Friction in the Near Wellbore—A Colombian Field Application,” SPE Latin America and Caribbean Petroleum Engineering Conference, Mexico City, Mexico, Apr. 16–18, SPE Paper No. SPE-152886-MS.
Levey, D. , 1967, “ Explosive Stimulation Report,” The Western Company Publication, Report.
Guo, B. , Shan, J. , and Feng, Y. , 2014, “ Productivity of Blast-Fractured Wells in Liquid-Rich Shale Gas Formations,” J. Nat. Gas Sci. Eng., 18, pp. 360–367. [CrossRef]
Tan, Y. , Li, H. , Zhou, X. , Jiang, B. , Wang, Y. , and Zhang, N. , 2018, “ A Semi-Analytical Model for Predicting Horizontal Well Performances in Fractured Gas Reservoirs With Bottom-Water and Different Fracture Intensities,” ASME J. Energy Resour. Technol., 140(10), p. 102905. [CrossRef]
Jiang, Y. , and Dahi-Taleghani, A. , 2018, “ Modified Extended Finite Element Methods for Gas Flow in Fractured Reservoirs: A Pseudo-Pressure Approach,” ASME J. Energy Resour. Technol., 140(7), p. 073101. [CrossRef]
Zhang, F. , and Yang, D. , 2017, “ Effects of Non-Darcy Flow and Penetrating Ratio on Performance of Horizontal Wells With Multiple Fractures in a Tight Formation,” ASME J. Energy Resour. Technol., 140(3), p. 032903. [CrossRef]
Teng, B. , Cheng, L. , Huang, S. , and Li, H. A. , 2018, “ Production Forecasting for Shale Gas Reservoirs With Fast Marching-Succession of Steady States Method,” ASME J. Energy Resour. Technol., 140(3), p. 032913. [CrossRef]
Ahn, C. H. , Dilmore, R. , and Wang, J. Y. , 2016, “ Modeling of Hydraulic Fracture Propagation in Shale Gas Reservoirs: A Three-Dimensional, Two-Phase Model,” ASME J. Energy Resour. Technol., 139(1), p. 012903. [CrossRef]
Wang, W. , Shahvali, M. , and Su, Y. , 2016, “ Analytical Solutions for a Quad-Linear Flow Model Derived for Multistage Fractured Horizontal Wells in Tight Oil Reservoirs,” ASME J. Energy Resour. Technol., 139(1), p. 012905. [CrossRef]
Gao, Q. , Cheng, Y. , Yan, C. , Jiang, L. , and Han, S. , 2018, “ Initiation Pressure and Corresponding Initiation Mode of Drilling Induced Fracture in Pressure Depleted Reservoir,” ASME J. Energy Resour. Technol., 141(1), p. 012901. [CrossRef]
Taleghani, A. D. , and Klimenko, D. , 2015, “ An Analytical Solution for Microannulus Cracks Developed Around a Wellbore,” ASME J. Energy Resour. Technol., 137(6), p. 062901. [CrossRef]
Clark, X. K. , 1968, “ Transient Pressure Testing of Fractured Water Injection Wells,” J. Pet. Technol., 20(6), pp. 639–643. [CrossRef]
Gringarten, A. C. , Ramey, H. J. , and Raghavan, R. , 1975, “ Applied Pressure Analysis for Fractured Wells,” J. Pet. Technol., 27(7), pp. 887–892. [CrossRef]
Cinco, L. H. , Samaniego, V. , and Dominguez, A. , 1978, “ Transient Pressure Behavior for a Well With a Finite-Conductivity Vertical Fracture,” Soc. Pet. Eng. J., 18(4), pp. 253–264. [CrossRef]
Cinco, L. H. , and Samaniego, V. F. , 1981, “ Transient Pressure Analysis for Fractured Wells,” J. Pet. Technol., 33(9), pp. 1749–1766.
Xuefeng, Q. , Lili, L. , Chunxia, Q. , Jiangshan , and Wenxiang , and F. , 2014, “ The Tight Sandstone Reservoir Geological Modeling of C7 in An83 Well Block,” Electron. J. Geotech. Eng., 19, pp. 2791–2798. http://www.ejge.com/2014/Ppr2014.269mar.pdf


Grahic Jump Location
Fig. 1

Sketch of fractured reservoir volume after HRF

Grahic Jump Location
Fig. 2

Diagnostic plot for well AC233-30

Grahic Jump Location
Fig. 3

Diagnostic plot for well AC230-45

Grahic Jump Location
Fig. 4

Diagnostic plot for well AC229-43

Grahic Jump Location
Fig. 5

A sketch of radial fractures around a wellbore



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