TECHNICAL PAPERS
Jul 1, 2006

Porochemoelastic Solution for an Inclined Borehole in a Transversely Isotropic Formation

Publication: Journal of Engineering Mechanics
Volume 132, Issue 7

Abstract

A porochemoelastic model which couples the chemical interactions effected by solute and ionic transport with the diffusion-deformation processes is presented. The chemical effects are encompassed within the model assuming the saturating pore fluid to be a two species constituent comprising of the solute and the solvent. Governing equations are presented in their anisotropic forms and specialized for the transversely isotropic material. The resulting system of equations is applied to obtain the porochemoelastic analytical solution for an inclined borehole subjected to a three-dimensional state of stress in a transversely isotropic formation. In obtaining the analytical solutions, it is assumed that the borehole axis is perpendicular to the plane of isotropy of the transversely isotropic formation. Chemical effects on the stress and pore pressure distributions and their impact on borehole stability is demonstrated in the numerical examples included.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The writers would like to thank Dr. Rajesh Nair for the discussion pertaining to the results and constructive suggestions in preparing this manuscript. The financial support from the Rock Mechanics Consortium at the PoroMechanics Institute is also acknowledged.

References

Abousleiman, Y., Cheng, A. H-D., Cui, L., Detournay, E., and Roegiers, J.-C. (1996). “Mandel’s problem revisited.” Geotechnique, 46(2), 187–195.
Abousleiman, Y., and Cui, L. (1998). “Poroelastic solutions in transversely isotropic media for wellbore and cylinder.” Int. J. Solids Struct., 35(34/35), 4905–4929.
Abousleiman, Y., and Cui, L. (2000). “The theory of anisotropic poroelasticity with applications.” Modeling and applications in geomechanics, M. Zaman, J. Booker, and G. Gioda, eds., Wiley, New York, 559–593.
Abousleiman, Y., and Ekbote, S. (2005). “Porothermoelastic solution for an inclined borehole in transversely isotropic media.” J. Appl. Mech., 72(1), 102–114.
Bailey, L., Denis, J. H., Goldsmith, G., Hall, P. L., and Sherwood, J. D. (1994). “A wellbore simulator for mud-shale interaction studies.” J. Pet. Sci. Eng., 11, 195–211.
Biot, M. A. (1941). “General theory of three-dimensional consolidation.” J. Appl. Phys., 12, 155–164.
Bird, R. B., Stewart, W. E., and Lightfoot, E. N. (1960). Transport phenomena, Wiley, New York.
Cheng, A H-D. (1997). “On generalized plane strain poroelasticity.” Int. J. Rock Mech. Min. Sci., 35, 199–205.
Coussy, O., Dangla, P., Dormieux, L., and Lemarchand, E. (1999). “A two-scale modeling of a swelling clay.” J. Phys., 9, Pr9-21–Pr9-23.
Cui, L., Abousleiman, Y., Cheng, A. H-D., and Roegiers, J.-C. (1999a). “Time-dependent failure analysis of inclined boreholes in fluid saturated formations.” J. Energy Resour. Technol., 121, 31–38.
Cui, L., Cheng, A. H-D., and Abousleiman, Y. (1997). “Poroelastic solution of an inclined borehole.” J. Appl. Mech., 64, 32–38.
Cui, L., Ekbote, S., and Abousleiman, Y. (1999b). “Effect of pore fluid conditions at the borehole wall on borehole stability.” Proc., 37th U.S. Rock Mech. Symposium, Vail, Colo., Amadei et al. eds., Balkema, Rotterdam, 187–194.
Cui, L., Ekbote, S., Abousleiman, Y., Zaman, M. M., and Roegiers, J.-C. (1998). “Borehole stability analyses in fluid saturated formations with non-penetrating walls.” Int. J. Rock Mech. Min. Sci., 35(4/5), Paper No. 061.
De Groot, S. R. (1952). Thermodynamics of irreversible processes, North-Holland, Amsterdam.
Dormieux, L., Barboux, P., Coussy, O., and Dangla, P. (1995). “A macroscopic model of the swelling phenomenon of a saturated clay.” Eur. J. Mech. A/Solids, 14(6), 981–1004.
Ekbote, S. (2002). “Anisotropic poromechanics of the wellbore coupled with thermal and chemical gradients.” Ph.D. dissertation, The Univ. of Oklahoma, Norman, Okla.
Ekbote, S., and Abousleiman, Y. (2003a). “Incorporating chemical effects in a porothermoelastic formulation and application to inclined boreholes.” The 2003 IUTAM Symposium on the Mechanics of Physicochemical and Electromechanical Interactions in Porous Media, Rolduc, Kerkrade, The Netherlands.
Ekbote, S., and Abousleiman, Y. (2003b). “Stability analyses of inclined boreholes in chemically active formations under non-isothermal conditions.” The 16th ASCE Conf. on Engineering Mechanics, Seattle, Wash.
Ekbote, S., Abousleiman, Y., Cui, L., and Zaman, M. M. (2004). “Analyses of inclined boreholes in poroelastic media.” Int. J. Geomech., 4(3), 178–190.
Hale, A. H., Mody, F. K., and Salisbury, D. P. (1992). “Experimental investigation of the influence of chemical potential on wellbore stability.” 1992 IADC/SPE Conf., New Orleans, Paper SPE/IADC 23885.
Heidug, W. K., and Wong, S. W. (1996). “Hydration swelling of water-absorbing rocks: A constitutive model.” Int. J. Numer. Analyt. Meth. Geomech., 20, 403–430.
Huyghe, J. M., and Janssen, J. D. (1999). “Thermo-chemo-electro-mechanical formulation of saturated charged porous solids.” Transp. Porous Media, 24, 129–141.
Li, X., and Li, X. (1992). “On the thermoelasticity of multicomponent fluid-saturated reacting porous media.” Int. J. Eng. Sci., 30(7), 891–912.
Lomba, R. F. T., Chenevert, M., and Sharma, M. M. (2000a). “The ion-selective membrane behavior of native shales.” J. Pet. Sci. Eng., 25, 9–23.
Lomba, R. F. T., Chenevert, M., and Sharma, M. M. (2000b). “The role of osmotic effects in fluid flow through shales.” J. Pet. Sci. Eng., 25, 25–35.
Mitchell, J. K. (1993). Fundamentals of soil behavior, Wiley, New York.
Mody, F. K., and Hale, A. H. (1993). “A borehole model to couple the mechanics and chemistry of drilling fluid shale interaction.” Proc., SPE/IADC Drilling Conf., paper 25728, The Society of Petroleum Engineers, Richardson, Tex.
Rice, J. R., and Cleary, M. P. (1976). “Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents.” Rev. Geophys. Space Phys., 14(4), 227–241.
Sherwood, J. D. (1993). “Biot poroelasticity of a chemically active shale.” Proc. R. Soc. London, Ser. A, 440, 365–377.
Sherwood, J. D. (1994a). “A model of hindered solute transport in a poroelastic shale.” Proc. R. Soc. London, Ser. A, 445, 679–692.
Sherwood, J. D. (1994b). “A model for the flow of water and ions into swelling shale.” Langmuir, 10, 2480–2486.
Sherwood, J. D. (1995). “Ionic transport in swelling shale.” Adv. Colloid Interface Sci., 61, 51–64.
Sherwood, J. D., and Bailey, L. (1994). “Swelling shale around a cylindrical wellbore.” Proc. R. Soc. London, Ser. A, 444, 161–184.
Stehfest, H. (1970). “Numerical inversion of Laplace transforms.” Commun. ACM, 13, 47–49
and
Stehfest, H. (1970). “Numerical inversion of Laplace transforms.” Commun. ACM, 13, 624.
van Oort, E. (1994). “A novel technique for the investigation of drilling fluid induced borehole instability in shales.” 1994 SPE/ISRM Rock Mechanics in Petroleum Engineering Conf., Delft, Paper SPE/ISRM 28064.
van Oort, E. (1997). “Physicochemical stabilization of shales.” SPE Int. Symp on Oilfield Chem., Houston, SPE paper 37263.
Yeung, A. T., and Mitchell, J. K. (1993). “Coupled fluid, electrical and chemical flows in soil.” Geotechnique, 43(1), 121–134.
Zhou, Y., Rajapakse, R. K. N. D., and Graham, J. (1998). “A coupled thermoporoelastic model with thermo-osmosis and thermal-filtration.” Int. J. Solids Struct., 35(34/35), 4659–4683.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 132Issue 7July 2006
Pages: 754 - 763

History

Received: Jun 4, 2004
Accepted: Jul 18, 2005
Published online: Jul 1, 2006
Published in print: Jul 2006

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Alexander H.-D. Cheng

Authors

Affiliations

Shailesh Ekbote
Shell International Exploration and Production Inc., Houston, TX 77025; formerly, School of Civil Engineering and Environmental Science, The Univ. of Oklahoma, Norman, OK 73019.
Younane Abousleiman
The PoroMechanics Institute, Mewbourne School of Petroleum and Geological Engineering, School of Geology and Geophysics, School of Civil Engineering and Environmental Science, The University of Oklahoma, Norman, OK 73019.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share