Rock and Soil Mechanics ›› 2026, Vol. 47 ›› Issue (9): 3009-3024.doi: 10.16285/j.rsm.2025.1222

• Fundamental Theory and Experimental Research • Previous Articles     Next Articles

Nonlinear fracture characteristics of rock under confining pressure and characterization length of fracture process zone

LUO Sen-lin1, 2, ZHANG Guang-qing1, 2, QIAO Jia1, 2, SUN Bin1, 2, ZHOU Da-wei1, 2   

  1. 1. College of Petroleum Engineering, China University of Petroleum (Beijing), Beijing 102249, China; 2. State Key Laboratory of Petroleum Resources and Engineering, China University of Petroleum (Beijing), Beijing 102249, China
  • Received:2025-11-12 Accepted:2026-04-21 Online:2026-09-11 Published:2026-09-01
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (52434001).

Abstract:

Deep oil and gas resources have considerable development potential. However, reservoir fracturing is affected by high confining pressure. The fracture tip exhibits pronounced nonlinear mechanical behavior, which hinders hydraulic fracture propagation. To clarify the nonlinear fracture characteristics of rocks under confining pressure, three-point bending fracture experiments were conducted on standard single-edge notched beam specimens of yellow sandstone. The evolution of the fracture process zone (FPZ) was monitored using an acoustic emission system. The results show that rock exhibits significant nonlinear fracture characteristics under confining pressure, and that higher confining pressure prolongs the entire pre-peak evolution of the FPZ. At high confining pressures, the microscopic fracture mechanism in rock shifts from intergranular to transgranular fracture. This transition in the microscopic fracture mode is the primary reason for the smoother fracture surface and the increase in fracture energy. Based on the cohesive zone model (CZM), an analytical model was established to predict the FPZ length. As confining pressure increases, the FPZ length decreases, whereas the fracture energy increases. This indicates that confining pressure not only limits the extent of FPZ development but also significantly enhances the energy dissipation intensity per unit area within the zone. Macroscopically, this manifests as a requirement for a higher stress level to drive further FPZ development and fracture propagation. This phenomenon reflects the strengthening effect of confining pressure on the nonlinear fracturing behavior of rock. The research results provide theoretical support for stimulation and modification of deep reservoirs.

Key words: confining pressure, fracture mechanics, three-point bending experiment, nonlinear fracture, fracture process zone

CLC Number: 

  • TE349
[1] ZHANG Jing, HAN Yan-song, ZHOU Zong-hong, LIU Hai, OUYANG Zhi-hua. Improvement of true triaxial Hoek-Brown criterion considering the rock critical confining pressure effect [J]. Rock and Soil Mechanics, 2026, 47(7): 2337-2346.
[2] WANG Ning-bo, YAO Yang-ping, LIU Lin, LI Xiang-yu, MAO An-qi, LI Ning, . Unified hardending model for sand considering confining pressure effects [J]. Rock and Soil Mechanics, 2025, 46(S1): 297-308.
[3] LI Bin, SHEN Hai-meng, LI Qi, LI Xia-ying, . A numerical simulation of dynamic evolution of permeability during granite shear process under different confining pressures [J]. Rock and Soil Mechanics, 2025, 46(S1): 437-453.
[4] WANG Xin, XING An-kang, ZENG Zi-qiang, JIANG Yi, XU Jian-yu, WANG Xiao-nan, LIU Zao-bao, . Experiment of shear mechanical properties of layered iron ore [J]. Rock and Soil Mechanics, 2025, 46(4): 1039-1048.
[5] LUO Bin-yu, SU Yuan, LIU Xiao-yun, HUANG Teng-da, XIAO Feng-yi, LIU Lan-xin, LI Peng-cheng, . Preliminary study on the behavior of rock strength considering the combined effects of seam dip and confining pressure [J]. Rock and Soil Mechanics, 2025, 46(3): 775-788.
[6] CAO Hu, ZHANG Guang-qing, LI Shi-yuan, WANG Wen-rui, XIE Peng-xu, SUN Wei, LI Shuai, . A hydraulic fracture extension model for fracturing and enhanced oil recovery considering the influence of the fracture process zone and its application [J]. Rock and Soil Mechanics, 2025, 46(3): 798-810.
[7] WU Peng, CHEN Jian, FU Xiao-dong, HUANG Jue-hao, . Deformation characteristics and energy evolution pattern of both dry and saturated argillaceous siltstone under cyclic load applications [J]. Rock and Soil Mechanics, 2024, 45(S1): 195-207.
[8] XU Hai-liang, TAN An-fu, SONG Yi-min, AN Dong, ZHANG Yuan-yu, DU Yu, GAO Han-jun. Sliding deformation and failure characteristics of layered composite rocks [J]. Rock and Soil Mechanics, 2024, 45(S1): 42-52.
[9] WANG Wen-rui, ZHANG Guang-qing, SUN Wei, LI Shuai, CAO Hu, LI Zu-liang, . Influence of rock property difference on rate-dependent fracture characteristics during fracture passing through bedding [J]. Rock and Soil Mechanics, 2024, 45(8): 2311-2323.
[10] WANG Lei, SHANG Rui-hao, LIU Huai-qian, CHEN Li-peng, ZHANG Yu, WANG An-cheng, ZHANG Shuai, LIU Hua-qiang. Mechanical properties and crack initiation angle of multi-fractured coal under load [J]. Rock and Soil Mechanics, 2024, 45(3): 659-673.
[11] LIU Jia-shun, ZHOU Ni, ZUO Jian-ping, ZHENG Zhi-yong, JIN Jia-xu, . Fractional creep damage constitutive model of weakly cemented soft rock under unloading confining pressure [J]. Rock and Soil Mechanics, 2024, 45(10): 2937-2948.
[12] ZHANG Jian-xin, MA Chang-hu, LANG Rui-qing, SUN Li-qiang, YANG Ai-wu, LI Di, . Experimental study on mechanical properties of coastal remolded soft soil subjected to the freeze-thaw cycle under confining pressure [J]. Rock and Soil Mechanics, 2023, 44(7): 1863-1874.
[13] RU Wen-kai, HU Shan-chao, LI Di-yuan, MA Jin-yin, ZHANG Chen-xi, LUO Ping-kuang, GONG Hao, ZHOU Ao-hui . Energy evolution of unloading confining pressure and dissipative energy damage constitutive model of coal-rock combination [J]. Rock and Soil Mechanics, 2023, 44(12): 3448-3458.
[14] CHEN Lei , ZHANG Guang-qing, ZHANG Min, CAO Yu-jie , SHEN Li-ji, . Propagation process of hydraulic fracture crossing an orthogonal discontinuity [J]. Rock and Soil Mechanics, 2023, 44(1): 159-170.
[15] CHEN Xiao-bin, YU Zhao-sheng, ZHOU Yu-qing, ZHANG Jia-sheng, QIAN Yu, . Prediction model of desiccation shrinkage fracture depth and spacing of argillaceous cement in red bed mudstone [J]. Rock and Soil Mechanics, 2022, 43(4): 868-878.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!