Impact of capillary pressure on micro-fracture propagation pressure during hydraulic fracturing in shales: An analytical model

Yunhu Lu, Yan Jin, Hongda Li

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Abstract


The presence of micro-fractures in shale reservoirs is vital for economic production. While a number of models have been proposed to predict the propagation pressure of pre-existing micro-fractures, few models have considered capillary pressure, which may play a significant role in the presence of micro-fractures with nano-scale width. In this study, a new model was developed to predict the propagation pressure of microfractures. It is assumed that pre-existing micro-fractures are arbitrarily intersected with the propagated hydraulic fractures. The model was derived based upon linear elastic fracture mechanics under the condition of mode I fracture propagation coupled with capillary pressure. Furthermore, this paper also conducted sensitivity analyses to predict the micro-fracture propagation pressure as a function of the contact angle, surface tension and the width of micro-fracture. The results demonstrated that decreasing the contact angle reduces the propagation pressure of micro-fractures, implying that a hydrophilic system may yield a lower fracture propagation pressure compared with the hydrophobic counterpart. Moreover, for a hydrophilic system, further decreasing the contact angle shifts the propagation pressure to a negative value, implying that the capillary pressure may induce the propagation of micro-fractures without external fluid injection. The propagation pressure is also affected by the surface tension and the width of micro-fracture.

Document Type: Original article

Cited as: Lu, Y., Jin, Y., Li, H. Impact of capillary pressure on micro-fracture propagation pressure during hydraulic fracturing in shales: An analytical model. Capillarity, 2023, 8(3): 45-52. https://doi.org/10.46690/capi.2023.09.01


Keywords


Shale reservoirs, micro-fractures, propagation pressure, capillary pressure, wettability

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References


Adachi, J. I. Fluid-driven fracture in permeable rock. Minneapolis, University of Minnesota, 2001.

Bishop, A. W. The principle of effective strength. Teknisk Ukeblad, 1959, 106(39): 859-863.

Cai, J., Chen, Y., Liu, Y., et al. Capillary imbibition and flow of wetting liquid in irregular capillaries: A 100-year review. Advances in Colloid and Interface Science, 2022, 304: 102654.

Cai, J., Jin, T., Kou, J., et al. Lucas-Washburn equation-based modeling of capillary-driven flow in porous systems. Langmuir, 2021, 37(5): 1623-1636.

Cai, J., Perfect, E., Cheng, C., et al. Generalized modeling of spontaneous imbibition based on Hagen-Poiseuille flow in tortuous capillaries with variably shaped apertures. Langmuir, 2014, 30(18): 5142-5151.

Chen, Y., Xie, Q., Pu, W., et al. Drivers of pH increase and implications for low salinity effect in sandstone. Fuel, 2018a, 218: 112-117.

Chen, Y., Xie, Q., Sari, A., et al. Oil/water/rock wettability: Influencing factors and implications for low salinity water flooding in carbonate reservoirs. Fuel, 2018b, 215: 171-177.

Curtis, M. E., Ambrose, R. J., Sondergeld, C. H. Structural characterization of gas shales on the micro-and nanoscales. Paper SPE 137693 Presented at the Canadian Unconventional Resources and International Petroleum Conference, Calgary, Alberta, Canada, 19-21 October, 2010.

Dehghanpour, H., Lan, Q., Saeed, Y., et al. Spontaneous imbibition of brine and oil in gas shales: Effect of water adsorption and resulting microfractures. Energy & Fuels, 2013, 27(6): 3039-3049.

Fallahzadeh, S. H., Hossain, M. M., James Cornwell, A., et al. Near wellbore hydraulic fracture propagation from perforations in tight rocks: The roles of fracturing fluid viscosity and injection rate. Energies, 2017, 10(3): 359.

Fatahi, H., Hossain, M. M., Fallahzadeh, S. H., et al. Numerical simulation for the determination of hydraulic fracture initiation and breakdown pressure using distinct element method. Journal of Natural Gas Science and Engineering, 2016, 33: 1219-1232.

Fatahi, H., Hossain, M. M., Sarmadivaleh, M. Numerical and experimental investigation of the interaction of natural and propagated hydraulic fracture. Journal of Natural Gas Science and Engineering, 2017, 37: 409-424.

Feng, R., Chen, R., Sarmadivaleh, M. A practical fracability evaluation for tight sandstone reservoir with natural interface. The APPEA Journal, 2019, 59(1): 221-227.

Feng, Q., Xu, S., Xing, X., et al. Advances and challenges in shale oil development: A critical review. Advances in Geo-Energy Research, 2020, 4(4): 406-418.

Feng, R., Zhou, G., Sarmadivaleh, M., et al. The role of ductility in hydraulic fracturing: An experimental study. Paper ARMA 2018-442 Presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, Seattle, Washington, 17-20 June, 2018.

Fjar, E., Holt, R. M., Horsrud, P., et al. Petroleum Related Rock Mechanics, 2nd Edition. Amsterdam, Netherlands, Elsevier, 2008.

Gale, J. F., Laubach, S. E., Olson, J. E., et al. Natural fractures in shale: A review and new observations. AAPG Bulletin, 2014, 98(11): 2165-2216.

Gale, J. F., Reed, R. M., Holder, J. Natural fractures in the Barnett Shale and their importance for hydraulic fracture treatments. AAPG Bulletin, 2007, 91(4): 603-622.

Gandossi, L., Von Estorff, U. An overview of hydraulic fracturing and other formation stimulation technologies for shale gas production. JRC86065, 2013.

Hossain, M. M., Rahman, M. Numerical simulation of complex fracture growth during tight reservoir stimulation by hydraulic fracturing. Journal of Petroleum Science and Engineering, 2008, 60(2): 86-104.

Hossain, M., Rahman, M., Rahman, S. Hydraulic fracture initiation and propagation: Roles of wellbore trajectory, perforation and stress regimes. Journal of Petroleum Science and Engineering, 2000, 27(3-4): 129-149.

Hou, B., Zhang, R., Zeng, Y., et al. Analysis of hydraulic fracture initiation and propagation in deep shale formation with high horizontal stress difference. Journal of Petroleum Science and Engineering, 2018, 170: 231-243.

Hubbert, M. K., Willis, D. G. Mechanics of hydraulic fracturing. Transactions of the American Institute of Mining and Metallurgical Engineers, 1972, 210: 153-166.

Josh, M., Esteban, L., Delle Piane, C., et al. Laboratory characterisation of shale properties. Journal of Petroleum Science and Engineering, 2012, 88: 107-124.

Kumagai, H., Chouet, B. A. Acoustic properties of a crack containing magmatic or hydrothermal fluids. Journal of Geophysical Research: Solid Earth, 2000, 105(B11): 25493-25512.

Li, Y., Liu, C., Li, H., et al. A review on measurement of the dynamic effect in capillary pressure. Journal of Petroleum Science and Engineering, 2022, 208: 109672.

Liang, C., Chen, M., Jin, Y., et al. Wellbore stability model for shale gas reservoir considering the coupling of multi-weakness planes and porous flow. Journal of Natural Gas Science and Engineering, 2014, 21: 364-378.

Liu, C., Zhang, L., Li, Y., et al. Effects of microfractures on permeability in carbonate rocks based on digital core technology. Advances in Geo-Energy Research, 2022, 6(1): 86-90.

Lu, G., Gordeliy, E., Prioul, R., et al. Modeling simultaneous initiation and propagation of multiple hydraulic fractures under subcritical conditions. Computers and Geotechnics, 2018, 104: 196-206.

Lu, Y., Zeng, L., Xie, Q., et al. Analytical modelling of wettability alteration-induced micro-fractures during hydraulic fracturing in tight oil reservoirs. Fuel, 2019, 249: 434-440.

Mayerhofer, M. J., Lolon, E. P., Warpinski, N. R., et al. What is stimulated reservoir volume? SPE Production & Operations, 2010, 25(1): 89-98.

Peng, T., Yan, J., Bing, H., et al. Laboratory investigation of shale rock to identify fracture propagation in vertical direction to bedding. Journal of Geophysics and Engineering, 2018, 15(3): 696-706.

Perkins, T., Kern, L. Widths of hydraulic fractures. Journal of Petroleum Technology, 1961, 13(9): 937-949.

Priest, S. D., Selvakumar, S. The failure characteristics of selected British rocks. London, Imperial College, 1982.

Rahman, M. K., Hossain, M. M., Rahman, S. S. An analytical method for mixed-mode propagation of pressurized fractures in remotely compressed rocks. International Journal of Fracture, 2000, 103(3): 243-258.

Rahman, M. K., Hossain, M. M., Rahman, S. S. A sheardilation-based model for evaluation of hydraulically stimulated naturally fractured reservoirs. International Journal for Numerical and Analytical Methods in Geomechanics, 2002, 26(5): 469-497.

Rice, J. R. Mathematical analysis in the mechanics of fracture, in Fracture: An Advanced treatise, edited by H. Liebowitz, Academic Press, New York, pp. 191-311, 1968.

Roshan, H., Al-Yaseri, A. Z., Sarmadivaleh, M., et al. On wettability of shale rocks. Journal of Colloid and Interface Science, 2016, 475: 104-111.

Shen, Y., Ge, H., Li, C., et al. Water imbibition of shale and its potential influence on shale gas recovery-a comparative study of marine and continental shale formations. Journal of Natural Gas Science and Engineering, 2016, 35: 1121-1128.

Silva, M. R., Schroeder, C., Verbrugge, J. -C. Unsaturated rock mechanics applied to a low-porosity shale. Engineering Geology, 2008, 97: 42-52.

Verdugo, M., Doster, F. Impact of capillary pressure and flowback design on the clean up and productivity of hydraulically fractured tight gas wells. Journal of Petroleum Science and Engineering, 2022, 208: 109465.

Wang, Q., Chen, X., Jha, A. N., et al. Natural gas from shale formation-the evolution, evidences and challenges of shale gas revolution in United States. Renewable and Sustainable Energy Reviews, 2014, 30: 1-28.

Wang, D., Chen, M., Jin, Y., et al. Theoretical and experimental study on fracture network initiation and propagation in shale that considers the capillary effect. Journal of Natural Gas Science and Engineering, 2016, 34: 486-498.

Wang, J., Rahman, S. S. An investigation of fluid leak-off due to osmotic and capillary effects and its impact on micro-fracture generation during hydraulic fracturing stimulation of gas shale. Paper SPE 174392 Presented at the EUROPEC 2015, Madrid, Spain, 1-4 June, 2015.

Wattenbarger, R. A., Alkouh, A. B. New advances in shale reservoir analysis using flowback data. Paper SPE 165721 Presented at the SPE Eastern Regional Meeting, Pittsburgh, Pennsylvania, USA, 20-22 August, 2013.

Xu, M., Dehghanpour, H. Advances in understanding wettability of gas shales. Energy & Fuels, 2014, 28(7): 4362-4375.

Yilmaz, I. Influence of water content on the strength and deformability of gypsum. International Journal of Rock Mechanics and Mining Sciences, 2010, 47(2): 342-347.

Zhou, Z., Abass, H., Li, X., et al. Experimental investigation of the effect of imbibition on shale permeability during hydraulic fracturing. Journal of Natural Gas Science and Engineering, 2016, 29: 413-430.


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