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Friction Coefficients Calculation via Surface Roughness Characterization for Tight Sedimentary Rocks

  • Research Article-Petroleum Engineering
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Abstract

In the drilling and stimulation operations of deep/ultra-deep oil and gas wells, high in situ stress conditions may increase the occurrence probability of rock shear failures. According to Mole-Coulomb laws, the friction coefficient becomes more significant in evaluating borehole instability, faults/natural fractures activation and hydraulic-natural fractures intersection scenarios. This paper proposes a multiscale model to calculate the rock friction coefficients based on the surface properties at different scales. The key parameters of surface properties are obtained from three-dimensional laser scan of friction planes, and the results are verified by the direct shearing and triaxial compression strength tests. For the flat or new-cutting surfaces, the computed basic friction coefficients range of 0.231–0.509, fitting well with the tested values of 0.303–0.437. It also shows that the basic friction coefficients grow in the order of shale, carbonate and tight sandstone, positively associated with the size of the rock sedimentary particles. For the roughness surfaces, the coefficients are computed based on the former basic friction values and the surface asperity dip angles distribution, and the values located in a wide range of 0.541–1.113, also matched well with the measured friction coefficients via direct shearing tests. When the normal stress increase, the rock friction coefficients generally decline, and the values of some shale and dolomite samples can decrease to 0.2, due to the existence of beddings or fracture fillings. The above outcomes may provide useful insights for wellbore instability assessment and hydraulic fracturing optimization.

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Acknowledgments

The authors are thankful to the Open Fund of the State Key Laboratory of Shale Oil and Gas Enrichment Mechanisms and Effective Development (No. 3580000-22-ZC0607-0030), the National Natural Science Youth Foundation of China (No. 52104003), the Joint Fund of the National Natural Science Foundation of China (Nos. U19A2097 and U19B6003), the Natural Science Foundation of Guangdong Province (No. 2019A1515012235) and the Science and Technology Planning Project of Sichuan Province (Nos. 2021YJ0359 and 2020JDTD0017) for their financial support.

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Authors and Affiliations

  1. State Key Laboratory of Shale Oil and Gas Enrichment Mechanisms and Effective Development, Beijing, China

    Daqi Li, Junbin Jin & Dujie Zhang

  2. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Chengdu University of Technology, Chengdu, China

    Bin Yang & Jiping She

  3. Sinopec Research Institute of Petroleum Engineering, Beijing, China

    Daqi Li, Junbin Jin & Dujie Zhang

  4. School of Petroleum Engineering, Guangdong University of Petroleum and Chemical Technology, Maoming, China

    Dawei Liu

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  1. Daqi Li
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Correspondence to Bin Yang.

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Li, D., Yang, B., Jin, J. et al. Friction Coefficients Calculation via Surface Roughness Characterization for Tight Sedimentary Rocks. Arab J Sci Eng 48, 9287–9298 (2023). https://doi.org/10.1007/s13369-022-07314-2

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