Study of Injection Rate on Fracture Network Complexity during Hydraulic Fracturing: Experimental Insights from Concrete, Sandstone and Bituminous Coal — Oak Academic Publishing
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Study of Injection Rate on Fracture Network Complexity during Hydraulic Fracturing: Experimental Insights from Concrete, Sandstone and Bituminous Coal
College of Mining Engineering, Taiyuan University of Technology, Taiyuan, China
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College of Mining Engineering, Taiyuan University of Technology, Taiyuan, China
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College of Mining Engineering, Taiyuan University of Technology, Taiyuan, China
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College of Mining Engineering, Taiyuan University of Technology, Taiyuan, China
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Key Laboratory of In-Situ Property Improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, China
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Faculty of Oil, Gas and New Energies, University of Kinshasa, Kinshasa, DRC
1 College of Mining Engineering, Taiyuan University of Technology, Taiyuan, China
2 College of Mining Engineering, Taiyuan University of Technology, Taiyuan, China
3 College of Mining Engineering, Taiyuan University of Technology, Taiyuan, China
4 College of Mining Engineering, Taiyuan University of Technology, Taiyuan, China
5 Key Laboratory of In-Situ Property Improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, China
6 Faculty of Oil, Gas and New Energies, University of Kinshasa, Kinshasa, DRC
This study examines the influence of injection rate on fracture development during hydraulic fracturing using water as the fracturing fluid. Laboratory experiments were performed on concrete, low-permeability sandstone, and brittle bituminous coal over a broad range of injection rates. The results indicate that both low (<1.0 mL/min) and high (≥5.0 mL/min) injection rates predominantly produced simple, planar fractures, reflecting limited fracture branching. In contrast, an intermediate injection rate of 2.2 mL/min consistently resulted in the most complex fracture patterns. The potential for enhanced fracture complexity was inferred from fracture surface roughness obtained via 3D scanning and characterized using the Joint Roughness Coefficient (JRC), which exhibited its highest values at this intermediate injection rate. Although water is sometimes considered less effective than unconventional fluids, the findings demonstrate that it performs well in moderately permeable rocks with sufficient tensile strength. However, water was less effective in brittle coal and low-permeability sandstone, where more compressible, low-viscosity fluids may be advantageous. Overall, three fracture behavior regimes were identified: a low-rate regime producing simple fractures, a mid-rate optimal regime producing complex networks, and a high-rate regime where fracture complexity decreased. Building on earlier findings that associate higher fluid injection rates with increased fracture complexity, this study explicitly identifies a limiting injection rate beyond which fracture network complexity no longer exhibits significant growth. Thin fractures dominated because controlled injection conditions focused on observing fracture behavior rather than merely inducing fracture, as reflected by the relatively high post-fracture injection pressure.
Yu, H., Xu, W., Li, B., Huang, H., Micheal, M., Wang, Q., et al . (2023) Hydraulic Fracturing and Enhanced Recovery in Shale Reservoirs: Theoretical Analysis to Engineering Applications. Energy & Fuels , 37, 9956-9997. https://doi.org/10.1021/acs.energyfuels.3c01029
Mwakipunda, G.C., Wang, Y., Mgimba, M.M., Ngata, M.R., Alhassan, J., Mkono, C.N., et al . (2023) Recent Advances in Carbon Dioxide Sequestration in Deep Unmineable Coal Seams Using CO 2 -ECBM Technology: Experimental Studies, Simulation, and Field Applications. Energy & Fuels , 37, 17161-17186. https://doi.org/10.1021/acs.energyfuels.3c03004
Guanhua, N., Kai, D., Shang, L. and Qian, S. (2019) Gas Desorption Characteristics Effected by the Pulsating Hydraulic Fracturing in Coal. Fuel , 236, 190-200. https://doi.org/10.1016/j.fuel.2018.09.005
Ji, Y., Zhuang, L., Wu, W., Hofmann, H., Zang, A. and Zimmermann, G. (2021) Cyclic Water Injection Potentially Mitigates Seismic Risks by Promoting Slow and Stable Slip of a Natural Fracture in Granite. Rock Mechanics and Rock Engineering , 54, 5389-5405. https://doi.org/10.1007/s00603-021-02438-7
Wu, K., Paranjothi, G., Milford, J.B. and Kreith, F. (2016) Transition to Sustainability with Natural Gas from Fracking. Sustainable Energy Technologies and Assessments , 14, 26-34. https://doi.org/10.1016/j.seta.2016.01.003
Kong, L., Ranjith, P.G. and Li, B.Q. (2021) Fluid-Driven Micro-Cracking Behaviour of Crystalline Rock Using a Coupled Hydro-Grain-Based Discrete Element Method. International Journal of Rock Mechanics and Mining Sciences , 144, Article 104766. https://doi.org/10.1016/j.ijrmms.2021.104766
Zhang, B., Cui, X., Wang, L. and Fu, X. (2022) Rock Fracture Response Exposed to Hydraulic Fracturing: Insight into the Effect of Injection Rate on Aperture Pattern. Advances in Materials Science and Engineering , 2022, 1-7. https://doi.org/10.1155/2022/9431143
Zhou, X. and Burbey, T.J. (2013) Fluid Effect on Hydraulic Fracture Propagation Behavior: A Comparison between Water and Supercritical CO 2 -Like Fluid. Geofluids , 14, 174-188. https://doi.org/10.1111/gfl.12061
Zhang, X., Zhang, Y. and Huang, B. (2021) Investigation of the Fracturing Effect Induced by the Disturbing Stress of Hydrofracturing Using the Bonded-Particle Model. Geofluids , 2021, 1-24. https://doi.org/10.1155/2021/9988748
Irwin, G.R. (1957) Analysis of Stresses and Strains near the End of a Crack Traversing a Plate. Journal of Applied Mechanics , 24, 361-364. https://doi.org/10.1115/1.4011547
Griffith, A.A. (1921) The Phenomena of Rupture and Flow in Solids . Philosophical Transactions of the Royal Society of London , Series A , Containing Papers of a Mathematical or Physical Character , 221, 163198.
Roylance, D. (2001) Introduction to Fracture Mechanics. https://live.ocw.mit.edu/courses/3-91-mechanical-behavior-of-plastics-spring-2007/ca3759efc1b8fd66d57dce1147d4a1db_23_frac.pdf
Zeng, X. and Wei, Y. (2017) Crack Deflection in Brittle Media with Heterogeneous Interfaces and Its Application in Shale Fracking. Journal of the Mechanics and Physics of Solids , 101, 235-249. https://doi.org/10.1016/j.jmps.2016.12.012
Xi, X., Shipton, Z.K., Kendrick, J.E., FraserHarris, A., Mouli-Castillo, J., Edlmann, K., et al . (2022) Mixed-Mode Fracture Modelling of the Near-Wellbore Interaction between Hydraulic Fracture and Natural Fracture. Rock Mechanics and Rock Engineering , 55, 5433-5452. https://doi.org/10.1007/s00603-022-02922-8
Kolawole, O. and Ispas, I. (2020) Interaction between Hydraulic Fractures and Natural Fractures: Current Status and Prospective Directions. Journal of Petroleum Exploration and Production Technology , 10, 1613-1634. https://doi.org/10.1007/s13202-019-00778-3
Dehghan, A.N. (2020) An Experimental Investigation into the Influence of Pre-Existing Natural Fracture on the Behavior and Length of Propagating Hydraulic Fracture. Engineering Fracture Mechanics , 240, Article 107330. https://doi.org/10.1016/j.engfracmech.2020.107330
Zheng, Y., Liu, J. and Zhang, B. (2019) An Investigation into the Effects of Weak Interfaces on Fracture Height Containment in Hydraulic Fracturing. Energies , 12, Article 3245. https://doi.org/10.3390/en12173245
Ma, Y., Wang, D. and Zheng, Y. (2023) Influence of the Bedding Plane on the Propagation of Multiple Hydraulic Fractures. Frontiers in Earth Science , 10, Article 1077652. https://doi.org/10.3389/feart.2022.1077652
Ishida, T., Chen, Q., Mizuta, Y. and Roegiers, J. (2004) Influence of Fluid Viscosity on the Hydraulic Fracturing Mechanism. Journal of Energy Resources Technology , 126, 190-200. https://doi.org/10.1115/1.1791651
Zheng, Y., Wei, H., Zhang, A. and Niu, Q. (2025) Exploring the Influence of Fluid Viscosity on the Hydraulic Fracture Propagation in Composite Coal Seams. Engineering Fracture Mechanics , 323, Article 111203. https://doi.org/10.1016/j.engfracmech.2025.111203
Brady, B.H. and Brown, E.T. (2006) Rock Mechanics: For Underground Mining. Springer Science & Business Media.
Lockner, D. (1993) The Role of Acoustic Emission in the Study of Rock Fracture. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts , 30, 883-899. https://doi.org/10.1016/0148-9062(93)90041-b
Heinze, T., Galvan, B. and Miller, S.A. (2015) Modeling Porous Rock Fracturing Induced by Fluid Injection. International Journal of Rock Mechanics and Mining Sciences , 77, 133-141. https://doi.org/10.1016/j.ijrmms.2015.04.003
Zoback, M.D. and Kohli, A.H. (2019) Unconventional Reservoir Geomechanics. Cambridge University Press. https://doi.org/10.1017/9781316091869
Hubbert, M.K. and Willis, D.G. (1957) Mechanics of Hydraulic Fracturing. Transactions of the AIME , 210, 153-168. https://doi.org/10.2118/686-g
Singh, S.B., Munjal, P. and Thammishetti, N. (2015) Role of Water/Cement Ratio on Strength Development of Cement Mortar. Journal of Building Engineering , 4, 94-100. https://doi.org/10.1016/j.jobe.2015.09.003
Li, W. (2021) Analysis of the Influence of Water-Cement Ratio on Concrete Strength. E 3 S Web of Conferences , 283, Article 301016. https://doi.org/10.1051/e3sconf/202128301016
Bieniawski, Z.T. and Bernede, M.J. (1979) Suggested Methods for Determining the Uniaxial Compressive Strength and Deformability of Rock Materials. International Journal of Rock Mechanics and Mining Sciences & Ge omechanics Abstracts , 16, 137. https://doi.org/10.1016/0148-9062(79)91450-5
Pawar, Y. and Kate, S. (2020) Curing of Concrete: A Review. International Journal of Engineering Rese arch & Technology , 7, 1820-1824. https://www.academia.edu/download/64721827/IRJET_V7I8302.pdf
Tan, K. and Gjorv, O.E. (1996) Performance of Concrete under Different Curing Conditions. Cement and Concrete Research , 26, 355-361. https://doi.org/10.1016/s0008-8846(96)85023-x
Xiu, Z., Wang, S., Ji, Y., Wang, F., Ren, F. and Nguyen, V. (2021) Loading Rate Effect on the Uniaxial Compressive Strength (UCS) Behavior of Cemented Paste Backfill (CPB). Construction and Building Materials , 271, Article 121526. https://doi.org/10.1016/j.conbuildmat.2020.121526
Neville, A.M. (1995) Properties of Concrete. Vol. 4. Longman London.
Speight, J.G. (2012) The Chemistry and Technology of Coal. CRC Press. https://books.google.com/books?hl=en&lr=&id=UWAWLUk4nJIC&oi=fnd&pg=PP1&dq=Speight,+J.G.,+The+chemistry+and+technology+of+coal.+2012:+CRC+press.&ots=X1dwtPGCGU&sig=tMWnsi_Jzk7ZCXG8Kbk7Fjx75GQ
Tse, R. and Cruden, D.M. (1979) Estimating Joint Roughness Coefficients. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts , 16, 303-307. https://doi.org/10.1016/0148-9062(79)90241-9