Spontaneous Imbibition of Water and Determination of Effective Contact Angles in the Eagle Ford Shale Formation Using Neutron Imaging
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Journal of Earth Science, Vol. 28, No. 5, p. 874–887, October 2017 ISSN 1674-487X Printed in China https://doi.org/10.1007/s12583-017-0801-1 Spontaneous Imbibition of Water and Determination of Effective Contact Angles in the Eagle Ford Shale Formation Using Neutron Imaging Victoria H. DiStefano *1, 2, Michael C. Cheshire1, Joanna McFarlane3, Lindsay M. Kolbus4, 5, Richard E. Hale6, Edmund Perfect7, Hassina Z. Bilheux5, Louis J. Santodonato8, Daniel S. Hussey9, David L. Jacobson9, Jacob M. LaManna9, Philip R. Bingham10, Vitaliy Starchenko1, Lawrence M. Anovitz1 1. Physical Sciences Directorate, Chemical Sciences Division, Oak Ridge National Laboratory, Oak Ridge TN 37830-6110, USA 2. Bredesen Center, University of Tennessee, Knoxville TN 37996-3394, USA 3. Energy & Environmental Sciences Directorate, Energy & Transportation Sciences Division, Oak Ridge National Laboratory, Oak Ridge TN 37830-6181, USA 4. STEM Educator, Skateland, Indianapolis IN 46254, USA 5. Neutron Sciences Directorate, Chemical and Engineering Materials Division, Oak Ridge National Laboratory, Oak Ridge TN 37830-6475, USA 6. Nuclear Science & Engineering Directorate, Reactor & Nuclear Systems Division, Oak Ridge National Laboratory, Oak Ridge TN 37830-6165, USA 7. Department of Earth and Planetary Science, University of Tennessee, Knoxville TN 37996-1410, USA 8. Neutron Sciences Directorate, Instrument and Source Division, Oak Ridge National Laboratory, Oak Ridge TN 37830-6430, USA 9. Physical Measurement Laboratory, National Institute of Standards and Technology, Gaithersburg MD 20899, USA 10. Energy & Environmental Sciences Directorate, Electrical & Electronics Systems Research Division, Oak Ridge National Laboratory, Oak Ridge TN 37830- 6075, USA Victoria H. DiStefano: http://orcid.org/0000-0001-6023-9716 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 im- aging 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 diffe- rential 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 con- tact angles that were slightly higher than static contact angles due to effects of in-situ changes in veloci- ty, 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 aver- age fracture widths are not satisfactory for modeling imbibition in natural systems. KEY WORDS: spontaneous imbibition, effective contact angle, neutron imaging, Eagle Ford shale, rock fractures. 0 INTRODUCTION optimize recovery, models have been developed to simulate The combination of horizontal drilling and hydraulic fracture growth and fluid movement in oil and gas reservoirs fracturing, or fracking, has greatly increased the productivity under subsurface conditions. However, these models must em- of oil and natural gas wells, especially in tight gas shales. To ploy a multitude of assumptions about poorly understood rock properties that are highly dependent on micro-scale fluid-rock *Corresponding author: [email protected] interactions. A quantitative understanding of these interactions, © China University of Geosciences and Springer-Verlag GmbH including spontaneous imbibition and wettability, is a key to de- Germany 2017 veloping better models and improving hydraulic fracturing. For instance, the performance of hydraulic fracturing fluids, both Manuscript received June 15, 2017. water and gas based, can be enhanced by understanding the beha- Manuscript accepted July 30, 2017. vior of the 3-D anisotropic rock-fluid interactions through charac- DiStefano, V. H., Cheshire, M. C., McFarlane, J., 2017. Spontaneous Imbibition of Water and Determination of Effective Contact Angles in the Eagle Ford Shale Formation Using Neutron Imaging. Journal of Earth Science, 28(5): 874–887. https://doi.org/10.1007/s12583-017-0801-1. http://en.earth-science.net Spontaneous Imbibition of Water and Determination of Effective Contact Angles in the Eagle Ford Shale Formation 875 terization and dynamic studies. with the fluid rather than with air. This preference also influ- This study uses neutron imaging, a non-destructive, rapid- ences many aspects of reservoir performance, particularly in ly developing capability, to verify and modify critical model- enhanced oil recovery techniques such as hydraulic fracturing. ing parameters for fluid flow in subsurface environments. For instance, making the assumption that a reservoir is water- Spontaneous imbibition of water into fractures in the Eagle wet, when it is not, can lead to irreversible reservoir damage Ford Shale Formation, a vitally important shale gas reservoir, and less than optimum recovery (Abdallah et al., 2007). Reser- was imaged to quantitatively measure in-situ imbibition rate. A voir rock formations are complex structures, and the wettabili- model of capillary uptake was then fit to the measured imbibi- ty of each differs. They typically contain multiple mineral tion rate to determine wettability through effective, in-situ types, each of which may wet differently. This makes estima- contact angles. These imbibition rates and contact angles are of tion of their overall wettability difficult. highly relevant to subsurface hydraulic fracturing models. Wettability is important because it is one of the primary va- riables controlling spontaneous imbibition (i.e., capillary uptake). 0.1 Spontaneous Imbibition In the simplest case, fluid in a narrow, smooth, cylindrical, capil- Hydraulic fracturing involves injecting high-pressure fluids lary with diameter, D, the Washburn-Lucas Equation, provides a into shale reservoirs to create fracture networks, liberating oil measure of the height of the wetting front due to capillary forces and gas reserves. Some of the injected fluid is never recovered. as a function of time (Washburn, 1921; Lucas, 1918) This missing fluid is termed leak-off. If not controlled properly, σDcosθ leak-off can exceed 70% of the injected volume, potentially h 2 = t (1) 4η decreasing well productivity by blocking oil and/or gas egress, causing formation damage, and/or contaminating ground water where h is the height of the capillary, t is time, σ is surface ten- (Cheng, 2012; Penny et al., 1984). This loss thus presents a po- sion, and η is viscosity. Wettability is measured by the contact tential major barrier to oil and gas recovery. The processes by angle, θ, discussed in detail below. While this equation is insuf- which this loss occurs are, however, poorly understood. ficient to describe capillary uptake in real-world, or even two- One possible mechanism for the escape of fluid into a re- dimensional planar fractures in real rocks (see below), the impor- servoir is spontaneous imbibition into initially dry porous me- tance of wetting angle on the process of capillary uptake is clear. dia and fractures (Cheng, 2012). Spontaneous imbibition oc- Measuring the static contact angle of a liquid on a surface curs when a wetting fluid displaces a nonwetting fluid, such as is the most common method to measure the wettability of re- air, under the influence of capillary suction (Gao and Hu, servoir rocks. The liquid is placed on a uniform, flat, rock sur- 2016). This has been shown to strongly affect the production of face, and the angle between the tangent to the edge of the drop oil and gas by water blockage of oil and gas escape pathways and the solid substrate, the static contact angle relative to air, is (Cheng, 2012; Pordel Shahri et al., 2012; Li, 2007). The rate of measured (Fig. 1). Different liquids can exhibit different con- imbibition, however, is strongly dependent on the multiscale tact angles on the same surface and a single liquid can exhibit properties of the rock matrix. It depends on mineralogy of the different contact angles on different materials, or may change source rock, total organic carbon, distribution of pore throat as a function of other surface properties such as roughness, sizes and fractures, and wettability. Experimental analysis of ionic strength, and mineralogy (Chen et al., 2015; Hamraoui et spontaneous imbibition into porous media has been done on a al., 2000; Wenzel, 1936). Additionally, in systems with fluid number of rocks including shales, but these experiments usual- flow, it has been demonstrated that dissipation of frictional and ly determine spontaneous imbibition into porous media, not viscous forces with an advancing fluid front results in contact fractures such as those examined here (Javaheri et al., 2017). angles that change with time (Hamraoui and Nylander, 2002; While a number of models have been developed in the litera- Hamraoui et al., 2000; Joos et al., 1990). Such time-dependent ture to predict the rate of imbibition (Cheng et al., 2015; Cai et values are referred to as dynamic contact angles, and these can al., 2014, 2010a; Standnes,