Case Studies
Sep 30, 2019

Prediction of Pore Pressure–Induced Stress Changes during Hydraulic Fracturing of Heterogeneous Reservoirs through Coupled Fluid Flow/Geomechanics

Publication: Journal of Engineering Mechanics
Volume 145, Issue 12

Abstract

During hydraulic fracturing, the filtration of fracturing fluid increases the pore pressure in the vicinity, resulting in pore pressure–induced stress in the reservoir. In order to study the evolution of pore pressure–induced stress during fracturing, based on Biot’s theory, a dynamic simulation model of single-fracture or multifracture propagation was established through coupled fluid flow and geomechanics. In the model, the heterogeneity of the reservoir and the influence of pore elasticity of reservoir rock were considered. Further, the finite volume and iterative methods were used to solve the model. The results show that the heterogeneity of reservoir permeability and porosity has a great influence on the distribution of pore pressure–induced stress, and it will make the induced stress distribution more complicated, resulting in local stress prominence. The distribution of pore pressure–induced stress during fracturing is quite different from that of hydraulic fracture opening–induced stress. With the increase of fracturing time, the distribution of pore pressure–induced stress shows a certain regularity, and the minimum horizontal principal stress shows a higher level near the fracture and a lower level on the left and right sides. However, the maximum horizontal principal stress is higher near the fracture and lower at the fracture tip (upper and lower parts of the fracture). Under certain conditions, pore pressure–induced stress will reverse the horizontal principal stress in the local area. Considering the influence of pore elasticity, the pore pressure will increase because of the fracturing fluid filtration, resulting in further increase in reservoir permeability and porosity, which in turn will increase fracturing fluid filtration. Through this study, the distribution of induced stress in the hydraulic fracturing process can be described more accurately, which can provide some guidance for hydraulic fracturing design and theories.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The work presented in this paper was supported by the major program of China National Petroleum Corporation (2016E-01) and National Science and Technology Major Special Project-Fu Ling Shale Gas Development Demonstration Project (2016ZX05060).

References

Biot, M. A. 1941. “General theory of three-dimensional consolidation.” J. Appl. Phys. 12 (2): 155–164. https://doi.org/10.1063/1.1712886.
Biot, M. A. 1955. “Theory of elasticity and consolidation for a porous anisotropic solid.” J. Appl. Phys. 26 (2): 182–185. https://doi.org/10.1063/1.1721956.
Bryant, E. C. 2016. “Hydraulic fracture modeling with finite volumes and areas.” M.S. thesis, Dept. of Petroleum and Geosystems Engineering, Univ. of Texas at Austin.
Charlez, P. A. 1997. Rock mechanics: Petroleum application. Paris: Editions Technip.
Crouch, S. 1976. “Solution of plane elasticity problems by the displacement discontinuity method. I: Infinite body solution.” Int. J. Numer. Methods Eng. 10 (2): 301–343. https://doi.org/10.1002/nme.1620100206.
England, A. H., and A. E. Green. 1963. “Some two-dimensional punch and crack problems in classical elasticity.” Math. Proc. Cambridge Philos. Soc. 59 (2): 489–500. https://doi.org/10.1017/S0305004100037099.
Gao, Q., and A. Ghassemi. 2017. “Pore pressure and stress distributions around a hydraulic fracture in heterogeneous rock.” Rock Mech. Rock Eng. 50 (12): 3157–3173. https://doi.org/10.1007/s00603-017-1280-5.
Garagash, D., E. Detournay, and J. Adachi. 2011. “Multiscale tip asymptotics in hydraulic fracture with leak-off.” J. Fluid Mech. 669: 260–297. https://doi.org/10.1017/S002211201000501X.
Ghassemi, A., X. X. Zhou, and C. Rawal. 2013. “A three-dimensional poroelastic analysis of rock failure around a hydraulic fracture.” J. Pet. Sci. Eng. 108 (Aug): 118–127. https://doi.org/10.1016/j.petrol.2013.06.005.
Irwin, G. R. 1957. “Analysis of stresses and strains near end of a crack traversing a plate.” J. Appl. Mech. 24 (3): 361–364.
Kim, J., H. A. Tchelepi, and R. Juanes. 2011a. “Stability and convergence of sequential methods for coupled flow and geomechanics: Drained and undrained splits.” Comput. Meth. Appl. Mech. Eng. 200 (23–24): 2094–2116. https://doi.org/10.1016/j.cma.2011.02.011.
Kim, J., H. A. Tchelepi, and R. Juanes. 2011b. “Stability and convergence of sequential methods for coupled flow and geomechanics: Fixed-stress and fixed-strain splits.” Comput. Methods Appl. Mech. Eng. 200 (13–16): 1591–1606. https://doi.org/10.1016/j.cma.2010.12.022.
Lamb, H. 1932. Hydrodynamics. New York: Dover Publications.
Leung, W. F. 1986. “A tensor model for anisotropic and heterogeneous reservoirs with variable directional permeabilities.” In Proc., SPE California Regional Meeting. Richardson, TX: Society of Petroleum Engineers.
Lin, M., S. Chen, E. Mbia, and Z. Chen. 2018. “Application of reservoir flow simulation integrated with geomechanics in unconventional tight play.” Rock Mech. Rock Eng. 51 (1): 315–328. https://doi.org/10.1007/s00603-017-1304-1.
Lin, T., H. Yu, Z. Lian, Y. Yi, and Q. Zhang. 2016. “Numerical simulation of the influence of stimulated reservoir volume on in-situ stress field.” J. Nat. Gas Sci. Eng. 36 (Nov): 1228–1238. https://doi.org/10.1016/j.jngse.2016.03.040.
Liu, C., H. Liu, Y. Zhang, D. Deng, and H. Wu. 2015. “Optimal spacing of staged fracturing in horizontal shale-gas well.” J. Pet. Sci. Eng. 132 (Aug): 86–93. https://doi.org/10.1016/j.petrol.2015.05.011.
Mandel, J. 1953. “Consolidation des sols.” Geotechnique 3 (7): 287–299. https://doi.org/10.1680/geot.1953.3.7.287.
McKee, C., A. Bumb, and R. Koening. 1988 “Stress-dependent permeability and porosity of coal and other geologic formation.” SPE Form. Eval. 3 (1): 81–91. https://doi.org/10.2118/12858-PA.
Molavi Tabrizi, A., E. Pan, S. J. Martel, K. Xia, W. Ashley Griffith, and A. Sangghaleh. 2014. “Stress fields induced by a non-uniform displacement discontinuity in an elastic half plane.” Eng. Fract. Mech. 132 (Dec): 177–188. https://doi.org/10.1016/j.engfracmech.2014.10.009.
Nordgren, R. P. 1972. “Propagation of a vertical hydraulic fracture.” SPE J. 12 (4): 306–314.
Ozkan, E., and R. Raghavan. 1991. “New solutions for well test analysis problems: Part 1—Analytical considerations.” SPE Form. Eval. 6 (3): 359–368. https://doi.org/10.2118/18615-PA.
Perkins, T. K., and L. R. Kern. 1961. “Widths of hydraulic fractures.” J. Pet. Technol. 13 (9): 937–949. https://doi.org/10.2118/89-PA.
Raghavan, R., and L. Y. Chin. 2002. “Productivity changes in reservoirs with stress-dependent permeability.” SPE Reservoir Eval. Eng. 7 (4): 308–315. https://doi.org/10.2118/88870-PA.
Roussel, N. P., and M. M. Sharma. 2011a. “Optimizing fracture spacing and sequencing in horizontal-well fracturing.” SPE Prod. Oper. 26 (2): 173–184. https://doi.org/10.2118/127986-pa.
Roussel, N. P., and M. M. Sharma. 2011b. “Strategies to minimize frac spacing and stimulate natural fractures in horizontal completions.” In Proc., SPE Annual Technical Conf. and Exhibition. Denver: Society of Petroleum Engineers.
Salimzadeh, S., A. Paluszny, and R. W. Zimmerman. 2017. “Three-dimensional poroelastic effects during hydraulic fracturing in permeable rocks.” Int. J. Solids Struct. 108 (Mar): 153–163. https://doi.org/10.1016/j.ijsolstr.2016.12.008.
Sangnimnuan, A., J. Li, and K. Wu. 2018. “Development of efficiently coupled fluid-flow/geomechanics model to predict stress evolution in unconventional reservoirs with complex-fracture geometry.” SPE J. 23 (3): 640–660. https://doi.org/10.2118/189452-PA.
Shi, J., B. Shen, O. Stephansson, and M. Rinne. 2014. “A three-dimensional crack growth simulator with displacement discontinuity method.” Eng. Anal. Boundary Elem. 48 (Nov): 73–86. https://doi.org/10.1016/j.enganabound.2014.07.002.
Simpson, M. D., R. Patterson, and K. Wu. 2016. “Study of stress shadow effects in Eagle Ford shale: Insight from field data analysis.” In Proc., 50th US Rock Mechanics/Geomechanics Symp. Houston: American Rock Mechanics Association.
Skomorowski, N., M. B. Dussealut, and R. Gracie. 2015. “The use of multistage hydraulic fracture data to identify stress shadow effects.”In Proc., 49th U.S. Rock Mechanics/Geomechanics Symp. Alexandria, VA: American Rock Mechanics Association.
Sneddon, I., and H. Elliott. 1946. “The opening of a Griffith crack under internal pressure.” Q. Appl. Math. 4 (3): 262–267. https://doi.org/10.1090/qam/17161.
Soliman, M. Y., L. E. East, and D. L. Adams. 2013. “Geomechanics aspects of multiple fracturing of horizontal and vertical wells.” SPE Drill. Complet. 23 (3): 217–228. https://doi.org/10.2118/86992-PA.
Tang, T., O. Hededal, and P. Cardiff. 2015. “On finite volume method implementation of poro-elasto-plasticity soil model.” Int. J. Numer. Anal. Methods Geomech. 39 (13): 1410–1430. https://doi.org/10.1002/nag.2361.
Tang, T., J. Roenby, and O. Hededal. 2012. “A coupled soil-pore fluid formulation for modeling soil liquefaction and cyclic mobility in seabed using the finite volume method.” In Proc., Int. Conf. on Advances in Coupled Systems Mechanics. Lyngby, Denmark: Technical Univ. of Denmark.
Warpinski, N. R., and P. T. Branagan. 1989. “Altered-stress fracturing.” J Pet. Technol. 41 (9): 990–997. https://doi.org/10.2118/17533-PA.
Zampogna, G. A. 2015. “Homogenized-based modeling of ows over and through poroelastic media.” Ph.D. thesis, Dept. of Mechanics KTH, Scuola Politecnica.
Zhao, J., Q. Wang, Y. Hu, L. Ren, and C. Zhao. 2019. “Numerical investigation of shut-in time on stress evolution and tight oil production.” J. Pet. Sci. Eng. 179 (Aug): 716–733. https://doi.org/10.1016/j.petrol.2019.03.087.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 145Issue 12December 2019

History

Received: Oct 30, 2018
Accepted: Mar 27, 2019
Published online: Sep 30, 2019
Published in print: Dec 1, 2019
Discussion open until: Feb 29, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Zhao Jinzhou [email protected]
Professor, State Key Laboratory of Oil-Gas Reservoir Geology and Exploitation, Southwest Petroleum Univ., Chengdu 610500, China. Email: [email protected]
Ph.D. Candidate, State Key Laboratory of Oil-Gas Reservoir Geology and Exploitation, Southwest Petroleum Univ., Chengdu 610500, China (corresponding author). Email: [email protected]
Hu Yongquan [email protected]
Professor, State Key Laboratory of Oil-Gas Reservoir Geology and Exploitation, Southwest Petroleum Univ., Chengdu 610500, China. Email: [email protected]
Zhao Chaoneng [email protected]
Ph.D. Candidate, State Key Laboratory of Oil-Gas Reservoir Geology and Exploitation, Southwest Petroleum Univ., Chengdu 610500, China. Email: [email protected]
Ph.D. Candidate, State Key Laboratory of Oil-Gas Reservoir Geology and Exploitation, Southwest Petroleum Univ., Chengdu 610500, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share