Anisotropic Diffusive-Advective Porochemoelasticity Modeling for Inclined Boreholes
Publication: International Journal of Geomechanics
Volume 17, Issue 3
Abstract
In chemically active rocks, pore pressure and stress state are not the only parameters that are governed by hydromechanical processes. Chemical osmosis is also responsible for changes in the effective stress caused by the presence of chemical potential between the reservoir and the borehole filled with drilling fluid. Subsurface rocks such as shales are highly anisotropic, and assuming an isotropic model will fail to provide an accurate depiction of the in situ stress state. In this work, governing equations for a fully coupled anisotropic nonlinear porochemoelasticity are developed. A numerical model using the FEM is constructed to simulate the drilling of an inclined borehole problem in an anisotropic and chemically active medium. The model accounts for solute transport contributed by diffusion and advection. Several sensitivity analyses are conducted to highlight different features of the chemohydromechanical model. Solute concentration, membrane efficiency, solute-diffusion coefficient, and advection are investigated. Results of this study show that the rock elastic anisotropy significantly enhances the stresses induced by the borehole excavation. Moreover, the presence of chemical potential has been shown to have a large bearing on the near wellbore stress state and pore pressure. It was demonstrated that this effect cannot be generalized and should be studied carefully on a case-by-case basis. Last, the model is used to analyze borehole stability for inclined boreholes under chemical, hydraulic, and mechanical loading.
Get full access to this article
View all available purchase options and get full access to this article.
References
Aadnoy, B., and Chenevert, M. (1987). Stability of highly inclined boreholes, SPE Drilling Engineering, Society of Petroleum Engineers, Richardson, TX.
Amadei, B. (1983). Rock anisotropy and the theory of stress measurements, Springer, Berlin.
Bader, S., and Kooi, H. (2005). “Modelling of solute and water transport in semi-permeable clay membranes: Comparison with experiments.” Adv. Water Resour., 28(3), 203–214.
Biot, M. (1955). “Theory of elasticity and consolidation for a porous anisotropic solid.” J. Appl. Phys., 26(2), 182–185.
Chenevert, M. (1970). “Shale alteration by water adsorption.” J. Pet. Technol., 22(9).
Cheng, A. (1997). “Material coefficients of anisotropic poroelasticity.” Int. J. Rock Mech. Min. Sci., 34(2), 199–205.
Ekbote, S., and Abousleiman, Y. (2006). “Porochemoelastic solution for an inclined borehole in a transversely isotropic formation.” J. Eng. Mech., 754–763.
Flury, M., and Gimmi, T. (2002). “Solute diffusion.” Methods of soil analysis, part 4, physical methods, J. H. Dane and G. C. Topp, eds., Mir Publishers, Madison, WI, 1323–1351.
Ghassemi, A., and Diek, A. (2003). “Linear chemo-poroelasticity for swelling shales: Theory and application.” J Pet. Sci. Eng., 38(3–4), 199–212.
Ghassemi, A., and Wolfe, G. (1999). A chemo-mechanical model for borehole stability analyses, USRMS, American Rock Mechanics Association, Alexandria, VA, 239–246.
Heidug, W. K., and Wong, S. W. (1996). “Hydration swelling of water-absorbing rocks: A constitutive model.” Int. J. Numer. Anal. Methods Geomech., 20(6), 403–430.
Jaeger, J., Cook, N., and Zimmerman, R. (2009). Fundamentals of rock mechanics, Chapman and Hall, Wiley, London.
Kanfar, M. F., Chen, Z., and Rahman, S. S. (2015a). “Risk-controlled wellbore stability analysis in anisotropic Formations.” J. Pet. Sci. Eng., 134, 214–222.
Kanfar, M. F., Chen, Z., and Rahman, S. S. (2015b). “Effect of material anisotropy on time-dependent wellbore stability.” Int. J. Rock Mech. Min. Sci., 78, 36–45.
Kanfar, M. F., Chen, Z., and Rahman, S. S. (2016). “Fully coupled 3D anisotropic conductive-convective porothermoelasticity modeling for inclined boreholes.” Geothermics, 61, 135–148.
Lee, H., Ong, S. H., Azeemuddin, M., and Goodman, H. (2012). “A wellbore stability model for formations with anisotropic rock strengths.” J. Pet. Sci. Eng., 96–97, 109–119.
Lekhnitskii, S. G. (1981). Theory of elasticity of an anisotropic body, Mir Publishers, Moscow.
Mody, F. K., and Hale, A. (1993). “Borehole-stability model to couple the mechanics and chemistry of drilling-fluid/shale interactions.” J. Pet. Technol., 45(11).
Roshan, H., and Rahman, S. (2010). “A fully coupled chemo-poroelastic analysis of pore pressure and stress distribution around a wellbore in water active rocks.” Rock Mech. Rock Eng., 44(2), 199–210.
Sherwood, J. D. (1993). “Biot poroelasticity of a chemically active shale.” Proc. R. Soc. London, Ser. A, 440(1909), 365–377.
Sherwood, J. D. (1994). “A model of hindered solute transport in a poroelastic shale.” Proc. R. Soc. London, Ser. A, 445(1925), 679–692.
Sherwood, J. D. (1995). “Ionic transport in swelling shale.” Adv. Colloid Interface Sci., 61, 51–64. (COM).
Tien, Y. M., and Kuo, M. C. (2001). “A failure criterion for transversely isotropic rocks.” Int. J. Rock Mech. Min. Sci., 38(3), 399–412.
Tran, M. H., and Abousleiman, Y. (2013). “Anisotropic porochemoelectroelastic solution for an inclined wellbore drilled in shale.” J. Appl. Mech., 80(2), 020912.
VanOort, E., Hale, A. H., Mody, F. K., and Roy, S. (1996). “Transport in shales and the design of improved water-based shale drilling fluids.” SPE Drill. Complet., 11(3), 137–146.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 17 • Issue 3 • March 2017
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Aug 7, 2015
Accepted: Jul 12, 2016
Published online: Aug 26, 2016
Discussion open until: Jan 26, 2017
Published in print: Mar 1, 2017
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.