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Determination of cutting force and failure surface using a blunt cutter under confining condition: analytical modelling

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Abstract

Digital drilling is a common method for detecting the deep rock mass information, but the cutter wear leads to an irregular shape of the rock chip affecting the detecting accuracy. The detecting methodology lacks the consideration of ground stress and cutter wear. This study developed an analytical model that incorporated confining stress and cutter wear to predict the rock failure surface and required cutting force. Curvature radius is introduced to characterize the failure surface. Triaxial drilling tests were conducted to verify the prediction of the model. The impact of confining stress and cutter wear on the failure patterns was investigated. Failure surface and cutting force were measured to confirm the reliability of the model (approximately 90%). There are two patterns of failure surface, depending on the depth of cut. As the confining stress increases, the predicted cutting force linearly increases, and the curvature radius decreases. Hydrostatic stress has an opposite impact on cutting force and curvature radius, compared to confining stress. This method shows improvement to reduce the sticking phenomenon caused by rock debris.

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Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

Abbreviations

F t :

Thrust force

F n :

Tangential force

A f :

Wear flat area

β :

Wear angle

d :

Depth of cut

S :

Cutting stress

N :

Normal stress

α :

Rake angle of drill bit

Pp :

Pore pressure

p h :

Confining stress

p d :

 Hydrostatic pressure

τ 0 :

Shear stress of the crushed zone

σ 0 :

Principal stress of the crushed zone

γ:

Top angle of wedge body of rock

θ :

Included angle between the x axis of the wedge body

P :

The load applied on the wedge

F fn :

Normal component of friction

F fs :

Tangential component of friction

v :

Drilling speed

w :

 Rotation speed

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Funding

This study is sponsored by the National Natural Science Foundation of China (Grants No. 42177158, 11902249 and 11872301), Key Research and Development project of Shaanxi Province (No. 2022SF-412), Education Bureau of Shaanxi Province | Scientific Research Plan Projects of Shaanxi Education Department in China (Grant No. 20JS093). Opening fund of State Key Laboratory of Geohazard Prevention and Geoenvironment Protection (Chengdu University of Technology (Grants No. SKLGP2022K005). Open subject of Urban Geology and Underground Space Engineering Technology Research Center of Shaanxi Province (2022KT-01). The financial support provided by this sponsor is greatly appreciated.

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Authors and Affiliations

  1. State Key Laboratory of Eco-hydraulics in Northwest Arid Region, Xi’an University of Technology, Xi’an, 710048, China

    Haoteng Wang & Mingming He

  2. State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu, 610059, China

    Mingming He & Chunchi Ma

  3. CCCC First Highway Consultants CO.LTD, Xi’an, 710000, China

    Zhuoya Yuan, Xudong Ma & Bo Luo

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  1. Haoteng Wang
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Correspondence to Mingming He.

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Wang, H., He, M., Yuan, Z. et al. Determination of cutting force and failure surface using a blunt cutter under confining condition: analytical modelling. Bull Eng Geol Environ 83, 136 (2024). https://doi.org/10.1007/s10064-024-03613-0

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