Analysis of microseismic field data shows that the stimulated reservoir volume (SRV) in unconventional reservoirs partially covers the area between hydraulic fracture stages. Consequently, we are often faced with an effective fracture network area (EFNA) rather than a full SRV in such reservoirs. In this paper, we develop a new semi-analytical solution for pressure of hydraulically fractured horizontal wells in tight oil reservoirs with various SRV sizes. Our model is based on four linear flow regions including the hydraulic fracture, the stimulated reservoir, the unstimulated reservoir, and the outer reservoir region. Flow in each region is represented by a set of governing equations and boundary conditions that are coupled to those of other regions. The dual-porosity formulation represents the SRV, while single-porosity formulation is used for other flow regions. We transform the coupled system of equations into Laplace domain, solve for wellbore pressure, and invert the solutions back to time domain numerically. We validate the semi-analytical solutions by comparing them to other semi-analytical solutions in the literature for the special case of trilinear flow. We further validate the quad-linear flow solutions using numerical simulation. Based on the semi-analytical solutions, we generate logarithmic plots of wellbore pressure and pressure derivative. Moreover, we perform sensitivity studies to present the degree to which the solutions vary as size and other properties of the SRV change.
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January 2017
Research-Article
Analytical Solutions for a Quad-Linear Flow Model Derived for Multistage Fractured Horizontal Wells in Tight Oil Reservoirs
Wendong Wang,
Wendong Wang
School of Petroleum Engineering,
China University of Petroleum (East),
No. 66, Changjiang West Road, Huangdao District,
Qingdao 266580, China
China University of Petroleum (East),
No. 66, Changjiang West Road, Huangdao District,
Qingdao 266580, China
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Mohammad Shahvali,
Mohammad Shahvali
Reservoir Engineering Consultant iReservoir,
1490 W. Canal Court, Suite 2000,
Littleton, CO 80120
e-mail: mshahvali@ireservoir.com
1490 W. Canal Court, Suite 2000,
Littleton, CO 80120
e-mail: mshahvali@ireservoir.com
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Yuliang Su
Yuliang Su
School of Petroleum Engineering,
China University of Petroleum (East),
No. 66, Changjiang West Road, Huangdao District,
Qingdao 266580, China
China University of Petroleum (East),
No. 66, Changjiang West Road, Huangdao District,
Qingdao 266580, China
Search for other works by this author on:
Wendong Wang
School of Petroleum Engineering,
China University of Petroleum (East),
No. 66, Changjiang West Road, Huangdao District,
Qingdao 266580, China
China University of Petroleum (East),
No. 66, Changjiang West Road, Huangdao District,
Qingdao 266580, China
Mohammad Shahvali
Reservoir Engineering Consultant iReservoir,
1490 W. Canal Court, Suite 2000,
Littleton, CO 80120
e-mail: mshahvali@ireservoir.com
1490 W. Canal Court, Suite 2000,
Littleton, CO 80120
e-mail: mshahvali@ireservoir.com
Yuliang Su
School of Petroleum Engineering,
China University of Petroleum (East),
No. 66, Changjiang West Road, Huangdao District,
Qingdao 266580, China
China University of Petroleum (East),
No. 66, Changjiang West Road, Huangdao District,
Qingdao 266580, China
1Corresponding author.
2Present address: iReservoir.com, Inc., 1490 W Canal Court, Suite 2000, Littleton, CO 80120
Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received December 7, 2015; final manuscript received June 2, 2016; published online July 12, 2016. Assoc. Editor: Daoyong (Tony) Yang.
J. Energy Resour. Technol. Jan 2017, 139(1): 012905 (9 pages)
Published Online: July 12, 2016
Article history
Received:
December 7, 2015
Revised:
June 2, 2016
Citation
Wang, W., Shahvali, M., and Su, Y. (July 12, 2016). "Analytical Solutions for a Quad-Linear Flow Model Derived for Multistage Fractured Horizontal Wells in Tight Oil Reservoirs." ASME. J. Energy Resour. Technol. January 2017; 139(1): 012905. https://doi.org/10.1115/1.4033860
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