Abstract
During overbalanced drilling, the presence of mud cake can effectively reduce the pressure of fluid in the well on the wellbore. However, the existing wellbore stability models mostly ignore the pressure loss caused by mud cake, which leads to the deviation of the safe density window of drilling fluid. Therefore, a time-dependent model of physical parameters of mud cake is introduced in this study. By coupling this model with seepage theory, the changes of pore pressure and water saturation near the wellbore during the dynamic generation of mud cake are analyzed, and then the wellbore instability model is reconstructed by considering the double influence of mud cake on the stress around the wellbore and the mechanical parameters of rock. The results show that with the continuous generation of mud cake, the effective pressure difference of shaft wall gradually decreases from the initial liquid column pressure and tends to be stable, and the deterioration degree of rock mechanical parameters decreases. After 30 h of drilling, the collapse pressure of the wellbore decreased from 1.42 g/cm3 to 1.33 g/cm3, while the fracture pressure increased from 1.71 g/cm3 to 1.87 g/cm3. The wellbore instability model considering mud cake proves that the drilling fluid system that is easy to form high-quality mud cake can expand the safe density window and achieve safe and efficient drilling with reduced density and increased drilling speed. This study provides a theoretical basis for determining the accurate safe density window of drilling fluid.
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References
Abousleiman, Y. & Ekbote, S. Solutions for the inclined wellbore in a por-othemmoelastic transversely isotropic medium. J. Appl. Mech. 72(1), 102–114 (2005).
Al-Tahini, A. M., Abousleiman, Y. N. & Brumley, J. L. Acoustic and Quasistatic Laboratory Measurement and Calibration of the Pore Pressure Prediction Coefficient in the Poroelastic Theory SPE-95825 (SPE, 2005).
Detournay, E. & Cheng, A. D. Poroelastic Response of A Wellbore in A Non-hydrostaticStress Field. Intemational J. Rock. Mech. Min. Sci. &Geomechanics. 25, 171–182 (1988).
Liu, C., Han, Y., Phan, D. & Abousleiman, Y. Stress solutions for short-and long-termwellbore stability analysis. J. Nat. Gas Sci. Eng. 105, 104693 (2022).
Han, Y. & Liu, C. D. Phan. An integrative software platform to support drilling operations in troublesome formations. in Spe Middle East Oil and Gas Show and Conference D011S041R005 (2023).
Tran, M. H., Abousleiman, Y. N. & Nguyen, V. X. The effects of filter-cake buildup and time-dependent properties on the stability of inclined wellbores. SPE J. 16(04), 1010–1028 (2011).
Fisher, K. A., Wakeman, R. J., Chiu, T. W. & Meuric, O. F. J. Numerical modeling of cake formation and fluid loss from non-Newtonian muds during drilling using eccentric/concentric drill strings with/without rotation. Chem. Eng. Res. Des. 78(5), 707–714 (2000).
Sepehrnoori, K., Proett, M. A. & Wu, J. The influence of water base mud properties and petrophysical parameters on mudcake growth, filtrate invasion, and formation pressure. Petrophysics 46(01), 14–32 (2005).
Salehi, S., Madani, S. A. & Kiran, R. Characterization of workover fluids filtration through integrated laboratory experiments and CFD modeling. J. Nat. Gas Sci. Eng. 29, 462–468 (2016).
Ma, T., Peng, N. & Chen, P. Filter cake formation process by involving the influence of solid particle size distribution in workover fluids. J. Nat. Gas Sci. Eng. 79, 103350 (2020).
Zinati, F. F., Farajzadeh, R., Currie, P. K. & Zitha, P. L. J. Modeling ofexternal filter cake build-up in radial geometry. Pet. Sci. Technol. 27(7), 746–763 (2009).
Tran, M. H., Abousleiman, Y. N. & Nguyen, V. X. The effects of filter-cake buildup and time-dependent properties on the stability ofinclined wellbores. SPEJ 16(04), 1–10 (2011).
Rudyak, V. Y. & Seryakov, A. V. Effect of nonuniform drill mud cakeon stress state of reservoir rocks. J. Min. Sci. 48(4), 636–641 (2012).
Feng, Y., Li, X. & Gray, K. E. An easy-to-implement numericalmethod for quantifying time-dependent mud cake effects on near.wellbore stresses.JPet. Sci. Eng. 164, 501–514 (2018a).
Li, X., Jaffal, H., Feng, Y., El Mohtar, C. & Gray, K. E. Wellborebreakouts: Mohr-Coulomb plastic rock deformation, fluid seepage, and time-dependent mudcake buildup. Nat. Gas Sci. Eng. 52, 515–528 (2018).
Peng, N., Ma, T., Xu, H. & Liu, Y. Numerical modeling for drilling fluid invasion in a coupled wellbore–formation system. Phys. Fluids 37, 096606 (2025).
Zhao, J. Y. Research on the damage law of aqueous phase trapping by cross-flow filtration of drilling fluid in tight gas reservoirs. Master’s thesis (Northeast Petroleum Universit., 2021).
Bowker, K. A. Recent developments of the Barnett Shale play, Fort Worth Basin. W. Tex. Geol. Soc. Bull. 42(6), 4–11 (2003).
Qi, W. et al. Study on Stratigraphic Rock Characteristics and Wellbore Collapse Period in the Northern Jiangsu Basin. China Offshore Oil Gas. 36(06), 108–118 (2024).
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Funding
This research is supported by the national major coal and rock project, the project name is instability mechanism of coal and rock reservoir and excellent and fast drilling technology and equipment, and the number is 2025ZD1404205.
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Zhang Jianwei: conceptualization; writing– editing; Tian Siyu: writing – original draft preparation; Feng Fuping: project administration; Qiao Lei: project administration - validation; Ding Jiping: resources; Yang Donglin: data curation; Wang Xiang: validation;Liu Qi: validation; Zhang Yabo: validation.
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Zhang, J., Tian, S., Feng, F. et al. Study on the influence of time-varying characteristics of mud cake on the safe density window of drilling fluid. Sci Rep (2026). https://doi.org/10.1038/s41598-026-43575-9
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DOI: https://doi.org/10.1038/s41598-026-43575-9


