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Spontaneous imbibition of water and determination of effective contact angles in the Eagle Ford Shale Formation using neutron imaging

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Abstract

Understanding of fundamental processes and prediction of optimal parameters during the horizontal drilling and hydraulic fracturing process results in economically effective improvement of oil and natural gas extraction. Although modern analytical and computational models can capture fracture growth, there is a lack of experimental data on spontaneous imbibition and wettability in oil and gas reservoirs for the validation of further model development. In this work, we used neutron imaging to measure the spontaneous imbibition of water into fractures of Eagle Ford shale with known geometries and fracture orientations. An analytical solution for a set of nonlinear second-order differential equations was applied to the measured imbibition data to determine effective contact angles. The analytical solution fit the measured imbibition data reasonably well and determined effective contact angles that were slightly higher than static contact angles due to effects of in-situ changes in velocity, surface roughness, and heterogeneity of mineral surfaces on the fracture surface. Additionally, small fracture widths may have retarded imbibition and affected model fits, which suggests that average fracture widths are not satisfactory for modeling imbibition in natural systems.

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References Cited

  • Abdallah, W., Buckley, J., Carnegie, A., et al., 2007. Fundamentals of Wettability. Schlumberger Oilfield Review, 19(2): 44–61

    Google Scholar 

  • Andrew, M., Bijeljic, B., Blunt, M. J., 2014. Pore-Scale Contact Angle Measurements at Reservoir Conditions Using X-Ray Microtomography. Advances in Water Resources, 68: 24–31. https://doi.org/10.1016/j.advwatres.2014.02.014

    Article  Google Scholar 

  • Anovitz, L. M., Cole, D. R., Sheets, J. M., et al., 2015. Effects of Maturation on Multiscale (Nanometer to Millimeter) Porosity in the Eagle Ford Shale. Interpretation, 3(3): SU59–SU70. https://doi.org/10.1190/int-2014-0280.1

    Article  Google Scholar 

  • Benavente, D., Lock, P., Angeles Garcia Del Cura, M., et al., 2002. Predicting the Capillary Imbibition of Porous Rocks from Microstructure. Transport in Porous Media, 49(1): 59–76

    Article  Google Scholar 

  • Brittin, W. E., 1946. Liquid Rise in a Capillary Tube. Journal of Applied Physics, 17(1): 37–44. https://doi.org/10.1063/1.1707633

    Article  Google Scholar 

  • Broseta, D., Tonnet, N., Shah, V., 2012. Are Rocks still Water-Wet in the Presence of Dense CO2 or H2S?. Geofluids, 12(4): 280–294. https://doi.org/10.1111/j.1468-8123.2012.00369.x

    Article  Google Scholar 

  • Cai, J. C., Perfect, E., Cheng, C. L., et al., 2014. Generalized Modeling of Spontaneous Imbibition Based on Hagen-Poiseuille Flow in Tortuous Capillaries with Variably Shaped Apertures. Langmuir, 30(18): 5142–5151. https://doi.org/10.1021/la5007204

    Article  Google Scholar 

  • Cai, J. C., Yu, B. M., 2011. A Discussion of the Effect of Tortuosity on the Capillary Imbibition in Porous Media. Transport in Porous Media, 89(2): 251–263. https://doi.org/10.1007/s11242-011-9767-0

    Article  Google Scholar 

  • Cai, J. C., Yu, B. M., Mei, M. F., et al., 2010a. Capillary Rise in a Single Tortuous Capillary. Chinese Physics Letters, 27(5): 054701. https://doi.org/10.1088/0256-307x/27/5/054701

    Article  Google Scholar 

  • Cai, J. C., Yu, B. M., Zou, M. Q., et al., 2010b. Fractal Characterization of Spontaneous Co-Current Imbibition in Porous Media. Energy & Fuels, 24(3): 1860–1867. https://doi.org/10.1021/ef901413p

    Article  Google Scholar 

  • Chen, C., Wan, J. M., Li, W. Z., et al., 2015. Water Contact Angles on Quartz Surfaces under Supercritical CO2 Sequestration Conditions: Experimental and Molecular Dynamics Simulation Studies. International Journal of Greenhouse Gas Control, 42: 655–665. https://doi.org/10.13039/501100001809

    Article  Google Scholar 

  • Cheng, C. L., Perfect, E., Donnelly, B., et al., 2015. Rapid Imbibition of Water in Fractures within Unsaturated Sedimentary Rock. Advances in Water Resources, 77: 82–89. https://doi.org/10.13039/100006151

    Article  Google Scholar 

  • Cheng, Y. M., 2012. Impact of Water Dynamics in Fractures on the Performance of Hydraulically Fractured Wells in Gas-Shale Reservoirs. Journal of Canadian Petroleum Technology, 51(2): 143–151. https://doi.org/10.2118/127863-pa

    Article  Google Scholar 

  • Dreyer, M., Delgado, A., Path, H. J., 1994. Capillary Rise of Liquid between Parallel Plates under Microgravity. Journal of Colloid and Interface Science, 163(1): 158–168. https://doi.org/10.1006/jcis.1994.1092

    Article  Google Scholar 

  • Dubiel, R. F., Pitman, J. K., Pearson, O. N., et al., 2012. Assessment of Undiscovered Oil and Gas Resources in Conventional and Continuous Petroleum Systems in the Upper Cretaceous Eagle Ford Group, US Gulf Coast region. Vol. No. 2012-3003. US Geological Survey, 2011, Reston, VA

    Google Scholar 

  • Ergene, S. M., 2014. Lithologic heterogeneity of the Eagle Ford Formation, South Texas: [Dissertation]. The University of Texas at Austin, Austin, Texas

    Google Scholar 

  • Fischer, C., Gaupp, R., 2005. Change of Black Shale Organic Material Surface Area during Oxidative Weathering: Implications for Rock-Water Surface Evolution. Geochimica et Cosmochimica Acta, 69(5): 1213–1224. https://doi.org/10.1016/j.gca.2004.09.021

    Article  Google Scholar 

  • Gao, L. C., McCarthy, T. J., 2007. How Wenzel and Cassie were Wrong. Langmuir, 23(7): 3762–3765. https://doi.org/10.1021/la062634a

    Article  Google Scholar 

  • Gao, Z. Y., Hu, Q. H., 2016. Wettability of Mississippian Barnett Shale Samples at Different Depths: Investigations from Directional Spontaneous Imbibition. AAPG Bulletin, 100(1): 101–114. https://doi.org/10.1306/09141514095

    Article  Google Scholar 

  • Hamraoui, A., Nylander, T., 2002. Analytical Approach for the Lucas–Washburn Equation. Journal of Colloid and Interface Science, 250(2): 415–421. https://doi.org/10.1006/jcis.2002.8288

    Article  Google Scholar 

  • Hamraoui, A., Thuresson, K., Nylander, T., et al., 2000. Can a Dynamic Contact Angle be Understood in Terms of a Friction Coefficient?. Journal of Colloid and Interface Science, 226(2): 199–204. https://doi.org/10.1006/jcis.2000.6830

    Article  Google Scholar 

  • Handy, L., 1960. Determination of Effective Capillary Pressures for Porous Media from Imbibition Data. Pet. Trans. AIME, 219(7): 75–80

    Google Scholar 

  • Hardy, W. B., 1922. Historical Notes Upon Surface Energy and Forces of Short Range. Nature, 109(2734): 375–378. https://doi.org/10.1038/109375a0

    Article  Google Scholar 

  • Hassanein, R., Meyer, H. O., Carminati, A., et al., 2006. Investigation of Water Imbibition in Porous Stone by Thermal Neutron Radiography. Journal of Physics D: Applied Physics, 39(19): 4284–4291. https://doi.org/10.1088/0022-3727/39/19/023

    Article  Google Scholar 

  • International Organization for Standardization, 1997. Geometrical Product Specifications (GPS)—Surface Texture: Profile Method—Terms, Definitions and Surface Texture Parameters. International Organization for Standardization, Geneva, Switzerland

    Google Scholar 

  • Javaheri, A., Dehghanpour, H., Wood, J. M., 2017. Tight Rock Wettability and Its Relationship to Other Petrophysical Properties: A Montney Case Study. Journal of Earth Science, 28(2): 381–390. https://doi.org/10.1007/s12583-017-0725-9

    Article  Google Scholar 

  • Joos, P., van Remoortere, P., Bracke, M., 1990. The Kinetics of Wetting in a Capillary. Journal of Colloid and Interface Science, 136(1): 189–197. https://doi.org/10.1016/0021-9797(90)90089-7

    Article  Google Scholar 

  • Jurin, J., 1717. An Account of Some Experiments Shown before the Royal Society: With an Enquiry into the Cause of the Ascent and Suspension of Water in Capillary Tubes. Philosophical Transactions of the Royal Society of London, 30(351–363): 739–747. https://doi.org/10.1098/rstl.1717.0026

  • Kang, M., Perfect, E., Cheng, C. L., et al., 2013. Diffusivity and Sorptivity of Berea Sandstone Determined Using Neutron Radiography. Vadose Zone Journal, 12(3). https://doi.org/10.2136/vzj2012.0135

    Google Scholar 

  • Li, K. W., 2007. Scaling of Spontaneous Imbibition Data with Wettability Included. Journal of Contaminant Hydrology, 89(3/4): 218–230. https://doi.org/10.1016/j.jconhyd.2006.09.009

    Article  Google Scholar 

  • Lucas, R., 1918. Rate of Capillary Ascension of Liquids. Kolloid Z, 23(15): 15–22

    Article  Google Scholar 

  • Mamontov, E., Vlcek, L., Wesolowski, D. J., et al., 2007. Dynamics and Structure of Hydration Water on Rutile and Cassiterite Nanopowders Studied by Quasielastic Neutron Scattering and Molecular Dynamics Simulations. The Journal of Physical Chemistry C, 111(11): 4328–4341. https://doi.org/10.1021/jp067242r

    Article  Google Scholar 

  • Mamontov, E., Vlcek, L., Wesolowski, D. J., et al., 2009. Suppression of the Dynamic Transition in Surface Water at Low Hydration Levels: A Study of Water on Rutile. Physical Review E, 79(5): 051504. https://doi.org/10.1103/physreve.79.051504

    Article  Google Scholar 

  • Mamontov, E., Wesolowski, D. J., Vlcek, L., et al., 2008. Dynamics of Hydration Water on Rutile Studied by Backscattering Neutron Spectroscopy and Molecular Dynamics Simulation. The Journal of Physical Chemistry C, 112(32): 12334–12341. https://doi.org/10.1021/jp711965x

    Article  Google Scholar 

  • Middleton, M., Li, K., de Beer, F., 2005. Spontaneous Imbibition Studies of Australian Reservoir Rocks with Neutron Radiography. Paper Presented at the SPE Western Regional Meeting, Society of Petroleum Engineers, Irvine, California

    Book  Google Scholar 

  • Murphy, W. M., Oelkers, E. H., Lichtner, P. C., 1989. Surface Reaction Versus Diffusion Control of Mineral Dissolution and Growth Rates in Geochemical Processes. Chemical Geology, 78(3/4): 357–380. https://doi.org/10.1016/0009-2541(89)90069-7

    Article  Google Scholar 

  • Penny, G. S., Ripley, H. E., Conway, M. W., et al., 1984. The Control and Modelling of Fluid Leak-off during Hydraulic Fracturing. Annual Technical Meeting, Petroleum Society of Canada, Calgary, Alberta

    Book  Google Scholar 

  • Perfect, E., Cheng, C. L., Kang, M., et al., 2014. Neutron Imaging of Hydrogen-Rich Fluids in Geomaterials and Engineered Porous Media: A Review. Earth-Science Reviews, 129: 120–135. https://doi.org/10.1016/j.earscirev.2013.11.012

    Article  Google Scholar 

  • Pordel Shahri, M., Jamialahmadi, M., Shadizadeh, S. R., 2012. New Normalization Index for Spontaneous Imbibition. Journal of Petroleum Science and Engineering, 82/83: 130–139. https://doi.org/10.1016/j.petrol.2012.01.017

    Article  Google Scholar 

  • Rietveld, H. M., 1969. A Profile Refinement Method for Nuclear and Magnetic Structures. Journal of Applied Crystallography, 2(2): 65–71. https://doi.org/10.1107/s0021889869006558

    Article  Google Scholar 

  • Rodríguez-Valverde, M. Á., Tirado Miranda, M., 2010. Derivation of Jurin’s Law Revisited. European Journal of Physics, 32(1): 49–54. https://doi.org/10.1088/0143-0807/32/1/005

    Article  Google Scholar 

  • Schneider, C. A., Rasband, W. S., Eliceiri, K. W., 2012. NIH Image to ImageJ: 25 Years of Image Analysis. Nature Methods, 9(7): 671–675. https://doi.org/10.1038/nmeth.2089

    Article  Google Scholar 

  • Standnes, D. C., 2010. Scaling Group for Spontaneous Imbibition Including Gravity. Energy & Fuels, 24(5): 2980–2984. https://doi.org/10.1021/ef901563p

    Article  Google Scholar 

  • Swinehart, D. F., 1962. The Beer-Lambert Law. Journal of Chemical Education, 39(7): 333. https://doi.org/10.1021/ed039p333

    Article  Google Scholar 

  • Tokunaga, T. K., Wan, J., 2013. Capillary Pressure and Mineral Wettability Influences on Reservoir CO2 Capacity. Reviews in Mineralogy and Geochemistry, 77(1): 481–503. https://doi.org/10.2138/rmg.2013.77.14

    Article  Google Scholar 

  • U.S. Energy Information Administration (EIA), 2017. Drilling Productivity Report. For Key Tight Oil and Shale Gas Regions. [2017-9-8] (2017-4). https://www.eia.gov/petroleum/drilling/archive/2017/04/#tabs-summary-2

    Google Scholar 

  • Wan, J. M., Kim, Y., Tokunaga, T. K., 2014. Contact Angle Measurement Ambiguity in Supercritical CO2-Water-Mineral Systems: Mica as an Example. International Journal of Greenhouse Gas Control, 31: 128–137. https://doi.org/10.13039/100000015

    Article  Google Scholar 

  • Washburn, E. W., 1921. The Dynamics of Capillary Flow. Physical Review, 17(3): 273–283. https://doi.org/10.1103/physrev.17.273

    Article  Google Scholar 

  • Wenzel, R. N., 1936. Resistance of Solid Surfaces to Wetting by Water. Industrial & Engineering Chemistry, 28(8): 988–994. https://doi.org/10.1021/ie50320a024

    Article  Google Scholar 

  • Xiao, Y., Yang, F. Z., Pitchumani, R., 2006. A Generalized Analysis of Capillary Flows in Channels. Journal of Colloid and Interface Science, 298(2): 880–888. https://doi.org/10.1016/j.jcis.2006.01.005

    Article  Google Scholar 

  • Yang, D. Y., Gu, Y., Tontiwachwuthikul, P., 2008. Wettability Determination of the Reservoir Brine—Reservoir Rock System with Dissolution of CO2 at High Pressures and Elevated Temperatures. Energy & Fuels, 22(1): 504–509. https://doi.org/10.1021/ef700383x

    Article  Google Scholar 

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Acknowledgments

This work was supported as part of the Center for Nanoscale Controls on Geologic CO2 (NCGC), an Energy Frontier Research Center funded by the U.S. Department of Energy, Office of Science, Basic Energy Sciences (No. DE-AC02-05CH11231). Victoria H. DiStefano acknowledges a graduate fellowship through the Bredesen Center for Interdisciplinary Research at the University of Tennessee. Vitaliy Starchenko was supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, Chemical Sciences, Geosciences, and Biosciences Division. Edmund Perfect’s research was sponsored by the Army Research Laboratory (No. W911NF-16-1-0043). The views and conclusions contained in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of the Army Research Laboratory or the U.S. Government. The U.S. government is authorized to reproduce and distribute reprints for government purposes notwithstanding any copyright notation herein. We acknowledge the support of the National Institute of Standards and Technology, U.S. Department of Commerce, in providing the neutron research facilities used in this work. A portion of this research used resources at the High Flux Isotope Reactor, a DOE Office of Science User Facility operated by the Oak Ridge National Laboratory. We would also like to thank Andrew Kolbus, Salesforce, Robert Brese, UTK & ORNL, and Xiaojuan Zhu, Office of Information Technology at UTK, for assistance with Python, the Keyence VR-3100, and MATLAB, respectively. The final publication is available at Springer via https://doi.org/10.1007/s12583-017-0801-1.

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DiStefano, V.H., Cheshire, M.C., McFarlane, J. et al. Spontaneous imbibition of water and determination of effective contact angles in the Eagle Ford Shale Formation using neutron imaging. J. Earth Sci. 28, 874–887 (2017). https://doi.org/10.1007/s12583-017-0801-1

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