An experimental and theoretical study on the influence of stress gradients on the propagation of hydraulic fractures

Junchi Liu , Yuping Sun , Pingping Liang , Yintong Guo , Yuting He , Wenjie Xu , Duanyang Zhuang , Jinlong Li , Liangtong Zhan , Jianfu Shao , Yunmin Chen

Int J Min Sci Technol ›› 2025, Vol. 35 ›› Issue (9) : 1543 -1553.

PDF (2333KB)
Int J Min Sci Technol ›› 2025, Vol. 35 ›› Issue (9) :1543 -1553. DOI: 10.1016/j.ijmst.2025.08.014
Research article
research-article
An experimental and theoretical study on the influence of stress gradients on the propagation of hydraulic fractures
Author information +
History +
PDF (2333KB)

Abstract

Hydraulic fracture growth is significantly influenced by the minimum horizontal principal stress gradient and the fracturing fluid pressure gradient. However, these gradients are often neglected in scaled physical modeling experiments due to difficulties in reproducing them. This study uses centrifugal hypergravity to simulate both gradients and investigate their effects on fracture propagation. Artificial mortar specimens (ø200 mm×400 mm) are fractured under 1g (normal gravity), 50g, and 100g. Results show that compared to 1g, fractures under 50g and 100g exhibit increasingly uneven propagation, with higher g-values leading to greater asymmetry. To interpret this, a theoretical analysis based on fracture mechanics is conducted. When the fluid pressure gradient exceeds the stress gradient, a positive net gradient is generated, increasing net pressure at the lower fracture tip. This raises the stress intensity factor at the lower tip, promoting downward growth. As g increases, the disparity becomes more significant, resulting in greater fracture deviation. In conclusion, this study, for the first time, has verified and explained that the net gradient can change the propagation of hydraulic fractures, providing important guidance for wellbore placement under stress gradients.

Keywords

Stress gradients / Hydraulic fracture propagation / Centrifugal experiments / Theoretical analysis

Cite this article

Download citation ▾
Junchi Liu, Yuping Sun, Pingping Liang, Yintong Guo, Yuting He, Wenjie Xu, Duanyang Zhuang, Jinlong Li, Liangtong Zhan, Jianfu Shao, Yunmin Chen. An experimental and theoretical study on the influence of stress gradients on the propagation of hydraulic fractures. Int J Min Sci Technol, 2025, 35(9): 1543-1553 DOI:10.1016/j.ijmst.2025.08.014

登录浏览全文

4963

注册一个新账户 忘记密码

Acknowledgements

The authors wish to acknowledge the financial supports of Basic Science Center Program for Multiphase Evolution in Hyper-gravity of the National Natural Science Foundation of China (No. 51988101), National Natural Science Foundation of China (Nos. 52109138 and 52122403), Young Elite Scientists Sponsorship Pro-gram by CAST (No. 2023QNRC001).

References

[1]

Zhou Q, Zhu ZM, Liu W, Lu HJ, Fan ZD, Nie XF, Li CB, Wang J, Ren L. Hydraulic fracturing behaviors of shale under coupled stress and temperature conditions simulating different burial depths. Int J Min Sci Technol 2024; 34(6):783-97.

[2]

Li YW, Long M, Tang JZ, Chen M, Fu XF. A hydraulic fracture height mathematical model considering the influence of plastic region at fracture tip. Petrol Explor Dev 2020; 47(1):184-95.

[3]

Tan P, Kao JW, Cheng FS, Sun YL, Fu SH, Ren LJ. A review on hydraulic fracture height growth for layered formation. Geotech Geol Eng 2022; 40(8):4057-67.

[4]

Liu ZY, Chen M, Zhang GQ. Analysis of the influence of a natural fracture network on hydraulic fracture propagation in carbonate formations. Rock Mech Rock Eng 2014; 47(2):575-87.

[5]

Salimzadeh S, Hagerup ED, Kadeethum T, Nick HM. The effect of stress distribution on the shape and direction of hydraulic fractures in layered media. Eng Fract Mech 2019; 215:151-63.

[6]

Zhang W, Bi J, Zhao Y, Zhang YF, Wang CL, Pan Y. An improved fluid flow algorithm for hydraulic fracturing: Optimizing domain volume and crack pressure update strategies. Int J Min Sci Technol 2025; 35(4):639-57.

[7]

Ju Y, Li Y, Yang YM, Wang YL. Reorientation of hydraulic fractures and stress-shadow effect in double-well fracturing of hydrocarbon reservoirs: 3D numerical model and analysis. Int J Min Sci Technol 2025; 35(4):499-517.

[8]

Zhang SK, Chen Z, Wang XH, Zhao XY, Lin JY, Zhu BL, Wen Q, Jing Q. Numerical investigation of the effects of stress heterogeneity on the propagation behaviors of hydraulic fractures in a shale oil reservoir. Sustainability 2023; 15(14):11209.

[9]

Meng ZP, Tian YD, Li GF. Characteristics of in situ stress field in Southern Qinshui Basin and its research significance. J China Coal Soc 2010; 35 (6):975-81. in Chinese.

[10]

Meng ZP, Zhang JC, Wang R. In-situ stress,pore pressure and stress-dependent permeability in the Southern Qinshui Basin. Int J Rock Mech Min Sci 2011; 48 (1):122-31.

[11]

Chen SD, Tang DZ, Tao S, Xu H, Li S, Zhao JL. Statistic analysis on macro distribution law of geostress field in coalbed methane reservoir. Coal Sci Technol 2018; 46(6):57-63. in Chinese.

[12]

Miller II WK, Peterson RE, Stevens JE, Lackey CB, Harrison CW. In-situ stress profiling and prediction of hydraulic fracture azimuth for the west Texas Canyon Sands formation. SPE Prod Facil 1994; 9(3):204-10.

[13]

Robinson BM, Holditch SA, Peterson RE. The gas research institute’s second staged field experiment:A study of hydraulic fracturing. SPE Gas Technology Symposium. January 22-24, 1991. Houston, Texas. Richardson: Society of Petroleum Engineers, 1991: SPE 21495-MS.

[14]

Kang HP, Jiang TM, Zhang X, Yan LX. Research on in situ stress field in Jincheng mining area and its application. Chin J Rock Mech Eng 2009; 28(1):1-8. in Chinese.

[15]

Kang HP, Wu ZG, Gao FQ, Ju WJ. Effect of geological structures on in situ stress distribution in underground coal mines. Chin J Rock. Mech Eng 2012; 31 (S1):2674-80.

[16]

Ren XY, Zhou L, Zhou JP, Lu ZH, Su XP. Numerical analysis of heat extraction efficiency in a multilateral-well enhanced geothermal system considering hydraulic fracture propagation and configuration. Geothermics 2020; 87:101834.

[17]

Zhang QY, Duan K, Jiao YY, Xiang W. Physical model test and numerical simulation for the stability analysis of deep gas storage cavern group located in bedded rock salt formation. Int J Rock Mech Min Sci 2017; 94:43-54.

[18]

Zhang QY, Zhang XT, Wang ZC, Xiang W, Xue JH. Failure mechanism and numerical simulation of zonal disintegration around a deep tunnel under high stress. Int J Rock Mech Min Sci 2017; 93:344-55.

[19]

Chen RP, Yin XS, Tang LJ, Chen YM. Centrifugal model tests on face failure of earth pressure balance shield induced by steady state seepage in saturated sandy silt ground. Tunn Undergr Space Technol 2018; 81:315-25.

[20]

Idinger G, Aklik P, Wu W, Borja RI. Centrifuge model test on the face stability of shallow tunnel. Acta Geotech 2011; 6(2):105-17.

[21]

Ng CWW, Wong KS. Investigation of passive failure and deformation mechanisms due to tunnelling in clay. Can Geotech J 2013; 50(4):359-72.

[22]

Chen YM, Kong LG, Zhou YG, Jiang JQ, Tang XW, Niu B, Lin M. Development of a large geotechnical centrifuge at Zhejiang University. Physical Modelling in Geotechnics, Two, Volume Set. Boca Raton: CRC Press; 2010. p. 223-8.

[23]

Taylor RN. Geotechnical Centrifuge Technology. London: CRC Press; 1994.

[24]

Zhao R, Leung AK, Knappett J, Robinson S, Brennan A. Nonlinear lateral response of RC pile in sand: Centrifuge and numerical modeling. J Geotech Geoenviron Eng 2021; 147(6):04021031.

[25]

Li JL, Li QD, Li K, Zhuang DY, Xu WJ, Zhan LT, Ning ZX, Chen YM. Experimental and numerical study on the influence of gravitational stress gradient on the mechanical behavior of 3D printing sandstone models. Int J Rock Mech Min Sci 2022; 159:105224.

[26]

Chen Z, Clan W, Huang R, Shen Z. Vertical growth of hydraulic fracture in layered formations. Journal of the University of Petroleum, China (Edition of Natural Science) 1997; 21(4):23-6.

[27]

Tada H, Paris PC, Irwin GR. The Stress Analysis of Cracks Handbook. Third Edition. ASME Press; 2000.

[28]

Möri A, Lecampion B. Three-dimensional buoyant hydraulic fractures: Constant release from a point source. J Fluid Mech 2022;950:A12.

[29]

Welch GB, Haisman B.Fracture Toughness Measurement of Concrete. Kensington: University of New South Wales; 1969.

[30]

Xu SL, Zhu Y. Experimental determination of fracture parameters for crack propagation in hardening cement paste and mortar. Int J Fract 2009; 157(1):33-43.

PDF (2333KB)

0

Accesses

0

Citation

Detail

Sections
Recommended

/