Technical Papers
Feb 9, 2017

Poroelastic Dual-Porosity Dual-Permeability Simulation of Pressure Transmission Test on Chemically Active Shale

Publication: Journal of Engineering Mechanics
Volume 143, Issue 6

Abstract

This paper presents the poroelastic dual-porosity dual-permeability analytical solutions simulating the pressure transmission test on chemically active shale, taking into account shale anisotropy and electrokinetic effects. Laboratory data from pressure transmission tests on a shale sample with high clay content were also simulated by using both single-porosity and dual-porosity dual-permeability analytical solutions. The matching provides estimates of crucial shale parameters, including hydraulic permeabilities, membrane coefficient, ions diffusion coefficients, and electroosmotic permeability. The matches between analytical solutions and laboratory data included not only pore pressure, which had been the focus of previous studies, but also axial strain. Such double matches provided additional confidence in the estimations compared with conventional simulations of only pore-pressure measurements. It was found that the single-porosity simulation could not match pore pressure and axial strain simultaneously. In particular, if all measured properties were honored, the simulation yielded higher pore-pressure and lower axial strain predictions than laboratory data. To obtain a good match in both pore pressure and axial strain by using the single-porosity simulation, some parameters such as Young’s moduli and cation exchange capacity (CEC) had to be changed substantially from measured values. Therefore, it was postulated that most of the volume change occurred within the clay grains and in between the clay layers, which cannot be captured by the single-porosity model. This hypothesis was further supported by the fact that the dual-porosity dual-permeability simulation was able to model the pressure transmission test very well for both pore pressure and axial strain. Sensitivity analysis was also conducted to identify parameters with the most influence on the outcomes of the pressure transmission test. This paper highlights the importance of accounting for shale dual-porosity dual-permeability and chemically active natures when simulating shale responses.

Get full access to this article

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

Acknowledgments

The financial support of the PoroMechanics Institute’s industrial consortia at the University of Oklahoma is gratefully acknowledged. The authors also wish to thank two anonymous reviewers for their valuable suggestions.

References

Abousleiman, Y., et al. (2016). “The granular and polymer composite nature of kerogen-rich shale.” Acta Geotech., 11(3), 573–594.
Abousleiman, Y., Hoang, S., and Liu, C. (2014). “Anisotropic porothermoelastic solution and hydro-thermal effects on fracture width in hydraulic fracturing.” Int. J. Numer Anal. Methods Geomech., 38(5), 493–517.
Abousleiman, Y., and Nguyen, V. (2005). “Poromechanics response of inclined wellbore geometry in fractured porous media.” J. Eng. Mech., 1170–1183.
Abousleiman, Y., Tran, M., Hoang, S., Bobko, C., Ortega, A., and Ulm, F.-J. (2007). “Geomechanics field and lab characterization of the Woodford shale: The next gas play.” Proc., SPE Annual Technical Conf. and Exhibition SPE 110120, Society of Petroleum Engineers, Richardson, TX.
Akkutlu, I. Y., and Fathi, E. (2012). “Multiscale gas transport in shales with local kerogen heterogeneities.” SPE J., 17(04), 1002–1011.
Al-Wardy, W., and Zimmerman, R. W. (2004). “Effective stress law for the permeability of clay-rich sandstones.” J. Geophys. Res., 109(B4), B04203.
Arbogast, T., Douglas, J., Jr., and Hornung, U. (1990). “Derivation of the double porosity model of single phase flow via homogenization theory.” SIAM J. Math. Anal., 21(4), 823–836.
Bader, S., and Kooi, H. (2005). “Modeling solute and water transport in semi-permeable clay membranes: Comparison with experiment.” Adv. Water Resour., 28(3), 203–214.
Barenblatt, G. I., Zheltov, I. P., Kochina, I. N. (1960). “Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks.” J. Appl. Math. Mech., 24(5), 1286–1303.
Barone, F. S., Rowe, R. K., and Quigley, R. M. (1990). “Laboratory determination of chloride diffusion coefficient in an intact shale.” Can. Geotech. J., 27(2), 177–184.
Berryman, J. G. (2002). “Extension of poroelastic analysis to double-porosity materials: New technique in microgeomechanics.” J. Eng. Mech., 840–847.
Beskos, D. E., and Aifantis, E. C. (1986). “On the theory of consolidation with double porosity—II.” Int. J. Eng. Sci., 24(11), 1697–1716.
Biot, M. A. (1941). “General theory of three-dimensional consolidation.” J. Appl. Phys., 12(2), 155–164.
Biot, M. A., and Willis, D. G. (1957). “The elastic coefficients of the theory of consolidation.” J. Appl. Mech., 24, 594–601.
Bordallo, H. N., et al. (2008). “Quasi-elastic neutron scattering studies on clay interlayer-space highlighting the effect of cation in confined water dynamics.” J. Phys. Chem. C., 112(36), 13982–13991.
Bunger, A. (2010). “The Mandel-Cryer effect in chemoporoelasticity.” Int. J. Numer. Anal. Methods Geomech., 34(14), 1479–1511.
Bunger, A., and Detournay, E. (2007). “Early-time solution for a radial hydraulic fracture.” J. Eng. Mech., 534–540.
Bunger, A., Sarout, J., Kear, J., Piane, C., Detournay, E., Josh, M., and Dewhurst, D. (2014). “Experimental chemoporoelastic characterization of shale using millimeter-scale specimens.” J. Pet. Sci. Eng., 118, 40–51.
Carman, P. C. (1939). “Permeability of saturated sands, soils and clays.” J. Agric. Sci., 29(02), 262–273.
Chaudhary, A. S. (2012). “Shale oil production performance from a stimulated reservoir volume.” M.S. thesis, Texas A&M Univ., College Station, TX.
Chen, G., and Ewy, R. T. (2002). “Investigation of the undrained loading effect and chemical effect on shale stability.”, Richardson, TX.
Chen, G., Ewy, R. T., and Yu, M. (2010). “Analytic solutions with ionic flow for a pressure transmission test on shale.” J. Pet. Sci. Eng., 72(1–2), 158–165.
Chen, Z.-X. (1989). “Transient flow of slightly compressible fluids through double-porosity, double-permeability systems: A state-of-the-art review.” Transp. Porous Media, 4(2), 147–184.
Clarkson, C. R. (2013). “Production data analysis of unconventional gas wells: Review of theory and best practices.” Int. J. Coal Geol., 101–146.
Coussy, O. (2004). Poromechanics, Wiley, Chichester, U.K.
Dangla, P., Chong, T. F., and Gaulard, F. (2004). “Modelling of pH-dependent electro-osmotic flows.” C. R. Mecanique., 332(11), 915–920.
Detournay, E., Sarout, J., Tan, C., and Caurel, J. (2005). “Chemoporoelastic parameter identification of a reactive shale.” IUTAM Symp. on Physicochemical and Electromechanical Interactions in Porous Media, Dordrecht, Netherlands.
Dormieux, L., Lemarchand, E., and Coussy, O. (2003). “Macroscopic and micromechanical approaches to the modelling of the osmotic swelling in clays.” Transp. Porous Media, 50(1–2), 75–91.
Dullien, F. A. (1975). “New network permeability model of porous media.” AIChE J., 21(2), 299–307.
Ekbote, S., and Abousleiman, Y. (2005). “Porochemothermoelastic solution for an inclined borehole in a transversely isotropic formation.” J. Eng. Mech., 522–533.
Ekbote, S., and Abousleiman, Y. (2006). “Porochemoelastic solution for an inclined borehole in a transversely isotropic formation.” J. Eng. Mech., 754–763.
Elgmati, M., Zhang, H., Bai, B., Flori, R., and Qu, Q. (2011). “Submicron-pore characterization of shale gas plays.” Proc., North American Unconventional Gas Conf. and Exhibition, Society of Petroleum Engineers, Richardson, TX.
Ewy, R. T. (2014). “Shale swelling/shrinkage and water content change due to imposed suction and due to direct brine contact.” Acta Geotech., 9(5), 869–886.
Ewy, R. T., Daniels, E. J., and Stankovich, R. J. (2001). “Behavior of a reactive shale from 12000 feet depth.” Rock mechanics in the national interest, Swets & Zeitlinger, Lisse, Netherlands.
Ewy, R. T., and Stankovic, R. J. (2010). “Shale swelling, osmosis and acoustic changes measured under simulated downhole conditions.” SPE Drill. Complet., 25(02), 177–186.
Gale, J. F. W., et al. (2014). “Natural fractures in shale: A review and new observations.” AAPG Bull., 98(11), 2165–2216.
Gale, J. F. W., Reed, R. M., and Holder, J. (2007). “Natural fractures in the barnett shale and their importance for hydraulic fracture treatments.” AAPG Bull., 91(4), 603–622.
Gelet, R., Loret, B., and Khalili, N. (2012). “Borehole stability analysis in a thermoporoelastic dual-porosity medium.” Int. J. Rock Mech. Min. Sci., 50, 65–76.
Gong, B., Karimi-Fard, M., and Durlofsky, L. J. (2008). “Upscaling discrete fracture characterizations to dual-porosity, dual-permeability models for efficient simulation of flow with strong gravitational effects.” SPE J., 13(01), 58–67.
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.
Heister, K., Kleingeld, P. J., and Gustav Loch, J. P. (2005). “Quantifying the effect of membrane potential in chemical osmosis across bentonite membranes by virtual short-circuiting.” J. Colloid Interface Sci., 286(1), 294–302.
Hoffmann, J., Zebker, H. A., Galloway, D. L., and Amelung, F. (2001). “Seasonal subsidence and rebound in Las Vegas Valley, Nevada, observed by synthetic aperture radar interferometry.” Water Resour. Res., 37(6), 1551–1566.
Hu, H., and Garagash, D. I. (2010). “Plane-strain propagation of a fluid-driven crack in a permeable rock with fracture toughness.” J. Eng. Mech., 1152–1166.
Huyghe, J. M. (2007). “Analytical solution of a pressure transmission experiment on shale using electrochemomechanical theory.” J. Eng. Mech., 994–1002.
Huyghe, J. M., and Janssen, J. D. (1999). “Thermo-chemo-electro-mechanical formulation of saturated charged porous solids.” Transp. Porous Media, 34(1/3), 129–141.
Kariuki, S., and Dewald, H. D. (1996). “Evaluation of diffusion coefficients of metallic ions in aqueous solutions.” Electroanalysis, 8(4), 307–313.
Katchalsky, A., and Curran, P. F. (1965). “Nonequilibrium thermodynamics in biophysics.” Harvard University Press, Cambridge, MA.
Lai, W., and Mow, V. (1999). “Transport of multi-electrolytes in charged hydrated biological soft tissues.” Transp. Porous Media, 34(1–2), 143–157.
Lewallen, K., and Wang, H. (1998). “Consolidation of a double-porosity medium.” Int. J. Solids Struc., 35(34–35), 4845–4867.
Li, X. (2003). “Consolidation around a borehole embedded in media with double porosity under release of geostatic stresses.” Mech. Res. Commun., 30(1), 95–100.
Liu, C., Mehrabian, A., and Abousleiman, Y. (2016). “Poroelastic dual-porosity/dual-permeability after-closure pressure-curves analysis in hydraulic fracturing.” SPE J., in press.
Malusis, M. A., and Shackelford, C. D. (2002). “Theory for reactive solute transport through clay membrane barriers.” J. Contam. Hydrol., 59(3–4), 291–316.
Maxwell, S. C., Urbancic, T. I., Steinsberger, N., and Zinno, R. (2002). “Microseismic imaging of hydraulic fracture complexity in the Barnett shale.” SPE Annual Technical Conf. and Exhibtion, San Antonio.
Medved, I., and Černý, R. (2013). “Osmosis in porous media: A review of recent studies.” Microporous Mesoporous Mater., 170, 299–317.
Mehrabian, A., and Abousleiman, Y. (2014). “Generalized Biot’s theory and Mandel’s problem of multiple-porosity and multiple-permeability poroelasticity.” J. Geophys. Res., 119(4), 2745–2763.
Mehrabian, A., and Abousleiman, Y. (2015). “Gassmann equations and the constitutive relations for multiple-porosity and multiple-permeability poroelasticity with applications to oil and gas shale.” Int. J. Numer. Anal. Meth. Geomech., 39(14), 1547–1569.
Moyne, C., and Murad, M. (2006). “A two-scale model for coupled electro-chemo-mechanical phenomena and Onsager’s reciprocity relations in expansive clays. II: Computational validation.” Transp. Porous Media, 63(1), 13–56.
Murad, M., and Moyne, C. (2008). “A dual-porosity model for ionic solute transport in expansive clays.” Comput Geosci., 12(1), 47–82.
Nguyen, V. (2010). “Dual-porosity and dual-permeability poromechanics solutions for problems in laboratory and field applications.” Ph.D. dissertation, Univ. of Oklahoma, Norman, OK.
Nguyen, V., and Abousleiman, Y. (2009). “Poromechanics response of inclined wellbore geometry in chemically active fractured porous media.” J. Eng. Mech., 1281–1294.
Nguyen, V., and Abousleiman, Y. (2010a). “Incorporating electrokinetic effects in the porochemoelastic inclined wellbore formulation and solution.” Anais da Academia Brasileira de Ciências, 82(1), 195–222.
Nguyen, V., and Abousleiman, Y. (2010b). “Poromechanics solutions to plane strain and axisymmetric Mandel-type problems in dual-porosity and dual-permeability medium.” J. Appl. Mech., 77(1), 011002.
Nie, R. S., Meng, Y. F., Jia, Y. L., Zhang, F. X., Yang, X. T., and Niu, X. N. (2012). “Dual porosity and dual permeability modeling of horizontal well in naturally fractured reservoir.” Transp. Porous Media, 92(01), 213–235.
Olsen, H. W. (1969). “Simultaneous fluxes of liquid and charge in saturated kaolinite.” Soil Sci. Soc. Am. Proc., 33(3), 338–344.
Overbeek, J. T. (1956). “The Donnan equilibrium.” Prog. Biophys., 6, 57–84.
Patchett, J. G. (1975). “An investigation of shale conductivity.” Log analyst, Vol. 16, Society of Petrophysicists and Well-Log Analysts, Houston, 3–20.
Pride, S. R., and Berryman, J. G. (2003). “Linear dynamics of double-porosity dual-permeability materials. II: Fluid transport equations.” Physical Review E., 68(3), 036604.
Revil, A., and Cathles, L. M., III (1999). “Permeability of shaly sands.” Water Resour. Res., 35(3), 651–662.
Rousseau-Gueutin, P., Greef, V., Gonçalvès, J., Violette, S., and Chanchole, S. (2009). “Experimental device for chemical osmosis measurement on natural clay-rock samples maintained at in situ conditions: Implications for formation pressure interpretations.” J. Colloid Interface Sci., 337(1), 106–116.
Sachs, J. R., and Grodzinsky, A. J. (1989). “An electromechanically coupled poroelastic medium driven by an applied electrical current: Surface detection of bulk material parameters.” Physicochem. Hydrodyn., 11(4), 585–614.
Sarout, J., and Detournay, E. (2011). “Chemoporoelastic analysis and experimental validation of the pore pressure transmission test for reactive shales.” Int. J. Rock Mech. Mining Sci., 48(5), 759–772.
Shackelford, C. D., and Daniel, D. E. (1991). “Diffusion in saturated soil. I: Background.” J. Geotech. Eng., 467–484.
Shearer, T. R. (1998). “A numerical model to calculate land subsidence, applied at Hangu in China.” Eng. Geology, 49(2), 85–93.
Sierra, R., Tran, M. H., Abousleiman, Y. N., and Slatt, R. M. (2010). “Woodford shale mechanical properties and the impact of lithofacies.” Proc., 44th U.S. Rock Mechanics Symp. and 5th U.S.-Canada Rock Mechanics Symp., American Rock Mechanics Association, Alexandria, VA, 27–30.
Skempton, A. W. (1954). “The pore pressure coefficients A and B.” Geotechnique, 4(4), 143–147.
Skipper, N. T., Refson, K., and McConnell, J. D. C. (1991). “Computer simulation of interlayer water in 2:1 clays.” J. Chem. Phys., 94(11), 7434–7445.
Slatt, R. M., and Abousleiman, Y. (2011). “Merging sequence stratigraphy and geomechanics for unconventional gas shales.” Leading Edge, 30(3), 274–282.
Slatt, R. M., and O’Brien, N. R. (2011). “Pore types in the barnett and Woodford gas Shales: Contribution to understanding gas storage and migration.” AAPG Bull., 95(12), 2017–2030.
Takeda, M., Hiratsuka, T., Manaka, M., Finsterle, S., and Ito, K. (2014). “Experimental examination of the relationships among chemico-osmotic, hydraulic, and diffusion parameters of Wakkanai mudstones.” J. Geophys. Res., 119(5), 4178–4201.
Tran, M. H., and Abousleiman, Y. N. (2013). “Anisotropic porochemoelectroelastic Mandel’s problem solutions for applications in reservoir modeling and laboratory characterization.” Mech. Res. Commun., 47, 89–96.
Vane, L. M., and Zang, G. M. (1997). “Effect of aqueous phase properties on clay particle zeta potential and electro-osmotic permeability: Implications for electro-kinetic soil remediation processes.” J. Hazard. Mater., 55(1–3), 1–22.
van Meerveld, J., Molenaar, M., Huyghe, J., and Baaijens, F. (2003). “Analytical solution of compression, free swelling and electrical loading of saturated charged porous media.” Transp. Porous Media, 50(1–2), 111–126.
Vulgamore, T., et al. (2007). “Applying hydraulic fracture diagnostics to optimize stimulations in the Woodford shale.” Proc., SPE Annual Technical Conf. and Exhibition, Society of Petroleum Engineers, Richardson, TX, 11–14.
Wang, H. F. (2000). Theory of linear poroelasticity with applications to geomechanics and hydrogeology, Princeton University Press, Princeton, NJ.
Warren, J. E., and Root, P. J. (1963). “The behavior of naturally fractured reservoirs.” SPE J., 3(3), 245–255.
Wasaki, A., and Akkutlu, I. Y. (2014). “Permeability of organic-rich shale.” SPE Annual Technical Conf. Exhibition, Society of Petroleum Engineers, Richardson, TX.
Wilson, R., and Aifantis, E. (1982). “On the theory of consolidation with double porosity.” Int. J. Eng. Sci., 20(9), 1009–1035.
Xu, W., Thiercelin, M., and Walton, I. (2009). “Characterization of hydraulically-induced shale fracture network using an analytical/semi-analytical model.” SPE Annual Technical Conf. and Exhibition, Society of Petroleum Engineers, Richardson, TX.
Yan, B., Wang, Y., and Killough, J. (2016). “Beyond dual-porosity modeling for the simulation of complex flow mechanisms in shale reservoirs.” Comput Geosci., 20(1), 69–91.
Yeung, A. T., and Mitchell, J. K. (1993). “Coupled fluid, electrical and chemical flows in soil.” Geotechnique, 43(1), 121–134.
Zhang, J., et al. (2003). “Dual-porosity poroelastic analyses of wellbore stability.” Int. J. Rock Mech. Min. Sci., 40(4), 473–483.
Zhou, X. J., and Burbey, T. J. (2014). “Deformation characteristics of a clayey interbed during fluid injection.” Eng. Geology, 183, 185–192.
Zimmerman, R. W., Chen, G., and Bodvarsson, G. S. (1992). “A dual-porosity reservoir model with an improved coupling term.” Proc., 17th Workshop on Geothermal Reservoir Engineering, USDOE-Office of Energy Efficiency and Renewable Energy, Washington, DC.
Zimmerman, R. W., Chen, G., Hadgu, T., and Bodvarsson, G. S. (1993). “A numerical dual-porosity model with semianalytical treatment of fracture/matrix flow.” Water Resour. Res., 29(07), 2127–2137.
Zimmerman, R. W., Hadgu, T., and Bodvarsson, G. S. (1996). “A new lumped-parameter model for flow in unsaturated dual-porosity media.” Adv. Water Resour., 19(05), 317–327.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 143Issue 6June 2017

History

Received: Feb 23, 2016
Accepted: Oct 5, 2016
Published online: Feb 9, 2017
Published in print: Jun 1, 2017
Discussion open until: Jul 9, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Postdoctoral Research Associate, PoroMechanics Institute and Mewbourne School of Petroleum and Geological Engineering, Univ. of Oklahoma, Norman, OK 73019. E-mail: [email protected]
Son K. Hoang [email protected]
Reservoir Engineer, Bien Dong POC, Ho Chi Minh City, Vietnam; formerly, Postdoctoral Research Associate, PoroMechanics Institute, Univ. of Oklahoma, Norman, OK 73019. E-mail: [email protected]
Minh H. Tran [email protected]
Deputy Subsurface Manager, Cuu Long JOC, Ho Chi Minh City, Vietnam; formerly, Postdoctoral Research Associate, PoroMechanics Institute, Univ. of Oklahoma, Norman, OK 73019. E-mail: [email protected]
Younane N. Abousleiman, A.M.ASCE [email protected]
Larry W. Brummett/ONEOK Chair and Professor, PoroMechanics Institute and Mewbourne School of Petroleum and Geological Engineering and ConocoPhillips School of Geology and Geophysics and School of Civil Engineering and Environmental Science, Univ. of Oklahoma, Norman, OK 73019 (corresponding author). E-mail: [email protected]
Russell T. Ewy [email protected]
Research Consultant, Rock Mechanics Team, Chevron Energy Technology Co., San Ramon, CA 94583. E-mail: [email protected]

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