The workflow to analyze hydraulic fracture effect on hydraulic fractured horizontal well production in composite formation system

Abstract

Hydraulic fracturing generally leads to highly complex hydraulic networks for tight oil reservoirs. It is significant to understand the hydraulic fracture effect on well performance. As an effective tool, semi-analytical solution for well pressure transient analysis (PTA) and rate transient analysis (RTA) is used in large amount because of higher calculation efficiency than numerical solution. In this paper, the PTA and RTA methods and result of composite formation system (CFS) are shown comprehensively. Firstly, a mathematical model of multistage fractured horizontal well (MsFHW) in CFS was proposed for tight oil reservoir with different regions and formation properties. In the model, two regions with different formation parameters were distinguished. This assumption of two regions, i.e. CFS is a composite tight reservoir formed after hydraulic fracturing. Difference of finite hydraulic fracture conductivity, inclined angle of hydraulic fracture, different shapes of multi-wing fractures in perforating point are considered to make this model powerful to analyze production performance of different MsFHW types. The inner and outer regions were assumed as dual porosity medium but single porosity medium model can also be solved by simplification. Then, the solution of MsFHW performance analysis model is obtained by source function method and the source function superposition principle which are common used in PTA and RTA. PTA for well producing at a constant production rate and RTA for well producing at a constant wellbore pressure were obtained and discussed. Different flow regimes were divided for different fracture geometry situations. The effects of different MsFHW types on PTA and RTA were analyzed. The inflow performance for different hydraulic fractures were presented.

Cited as: Yuan, J., Jiang, R., Zhang, W. The workflow to analyze hydraulic fracture effect on hydraulic fractured horizontal well production in composite formation system. Advances in Geo-Energy Research, 2018, 2(3): 319-342, doi: 10.26804/ager.2018.03.09

References

Akulich, A.V., Zvyagin, A.V. Interaction between hydraulic and natural fractures. Fluid Dyn. 2008, 43(3): 428-435.

Apaydin, O.G., Ozkan, E., Raghavan, R. Effect of discontin-uous microfractures on ultratight matrix permeability of a dual-porosity medium. SPE Reserv. Eval. Eng. 2012, 15(4): 473-485.

Biryukov, D., Kuchuk, F.J. Pressure transient behavior of horizontal wells intersecting multiple hydraulic fractures in naturally fractured reservoirs. Transp. Porous Media 2015, 110(3): 369-408.

Britt, L.K., Schoeffler, J. The geomechanics of a shale play: what makes a shale prospective. Paper SPE 125525 Presented at the SPE Eastern Regional Meeting, Charleston, West Virginia, USA, 23-25 September, 2009.

Brown, M., Ozkan, E., Raghavan, R., et al. Practical solutions for pressure-transient responses of fractured horizontal wells in unconventional shale reservoirs. SPE Reserv. Eval. Eng. 2011, 14(6): 663-676.

Chen, Z., Liao, X., Zhao, X., et al. A semianalytical approach for obtaining type curves of multiple-fractured horizontal wells with secondary-fracture networks. SPE J. 2016, 21(2): 538-549.

Chuprakov, D.A., Akulich, A.V., Siebrits, E., et al. Hydraulic-fracture propagation in a naturally fractured reservoir. SPE Prod. Oper. 2011, 26(1): 88-97.

Cipolla, C.L., Fitzpatrick, T., Williams, M.J., et al. Seismic-to-simulation for unconventional reservoir development. Paper SPE 146876 Presented at the SPE Reservoir Char-acterisation and Simulation Conference and Exhibition, Abu Dhabi, UAE, 9-11 October, 2011.

Cipolla, C.L., Lolon, E.P., Erdle, J.C., et al. Reservoir modeling in shale-gas reservoirs. SPE Reserv. Eval. Eng. 2010, 13(4): 638-653.

Clarkson, C.R. Production data analysis of unconventional gas wells: Review of theory and best practices. Int. J. Coal Geol. 2013, 109: 101-146.

Fan, T., Zhang, G. Laboratory investigation of hydraulic frac-ture networks in formations with continuous orthogonal fractures. Energy 2014, 74: 164-173.

Guo, T., Zhang, S., Ge, H., et al. A new method for evaluation of fracture network formation capacity of rock. Fuel 2015, 140: 778-787.

Howarth, R.W., Ingraffea, A., Engelder, T. Natural gas: Should fracking stop? Nature 2011, 477(7364): 271.

Hughes, J.D. Energy: A reality check on the shale revolution. Nature 2013, 494(7437): 307.

Jiang, R., Xu, J., Sun, Z., et al. Rate transient analysis for multistage fractured horizontal well in tight oil reservoirs considering stimulated reservoir volume. Math. Probl. Eng. 2014.

Jia, Y., Fan, X., Nie, R., et al. Flow modeling of well test analysis for porous-vuggy carbonate reservoirs. Transp. Porous Media 2013, 97(2): 253-279.

King, G.E. Thirty years of gas shale fracturing: What have we learned? Paper SPE 133456 Presented at the SPE Annual Technical Conference and Exhibition, Florence, Italy, 19-22 September, 2010.

Luo, W., Tang, C. Pressure-transient analysis of multiwing fractures connected to a vertical wellbore. SPE J. 2015, 20(2): 360-367.

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

Mayerhofer, M.J., Lolon, E.P., Youngblood, J.E., et al. Integration of microseismic-fracture-mapping results with numerical fracture network production modeling in the Barnett Shale. Paper SPE 102103 Presented at the SPE annual technical conference and exhibition, San Antonio, Texas, USA, 24-27 September, 2006.

M ˘anescu, C.B., Nuo, G. Quantitative effects of the shale oil revolution. Energy Policy 2015, 86: 855-866.

Meyer, B.R., Bazan, L.W. A discrete fracture network model for hydraulically induced fractures-theory, parametric and case studies. Paper SPE 140514 Presented at the SPE hydraulic fracturing technology conference, The Woodlands, Texas, USA, 24-26 January, 2011.

Ozkan, E., Brown, M.L., Raghavan, R.S., et al. Comparison of fractured horizontal-well performance in conventional and unconventional reservoirs. Paper SPE 121290 Presented at the SPE western regional meeting, San Jose, California, 24-26 March, 2009.

Ozkan, E., Brown, M.L., Raghavan, R.S., et al. Comparison of fractured-horizontal-well performance in tight sand and shale reservoirs. SPE Reserv. Eval. Eng. 2011, 14(2): 248-259.

Patzek, T.W., Male, F., Marder, M. Gas production in the Barnett Shale obeys a simple scaling theory. Proc. Natl. Acad. Sci. USA 2013, 110(49): 19731-19736.

Rahman, M.M., Aghighi, M.A., Shaik, A.R. Numerical modeling of fully coupled hydraulic fracture propagation in naturally fractured poro-elastic reservoir. Paper SPE 121290 Presented at the EUROPEC/EAGE Conference and Exhibition, Amsterdam, The Netherlands, 8-11 June, 2009.

Sang, Y., Chen, H., Yang, S., et al. A new mathematical model considering adsorption and desorption process for productivity prediction of volume fractured horizontal wells in shale gas reservoirs. J. Nat. Gas Sci. Eng. 2014, 19: 228-236.

Stalgorova, E., Louis, M. Practical Analytical Model To Simulate Production of Horizontal Wells With Branch Fractures. Paper SPE 162515 Presented at the SPE Canadian Unconventional Resources Conference, Cal-gary, Alberta, Canada, 30 October-1 November, 2012.

Stalgorova, E., Mattar, L. Analytical model for history matching and forecasting production in multifrac com-posite systems. Paper SPE 162516 Presented at the SPE Canadian Unconventional Resources Conference, Calgary, Alberta, Canada, 30 October-1 November, 2012.

Stalgorova, K., Mattar, L. Analytical model for unconventional multifractured composite systems. SPE Reserv. Eval. Eng. 2013, 16(3): 246-256.

Stehfest, H. Algorithm 368: Numerical inversion of Laplace transforms [D5]. Commun. Acm. 1970, 13(1): 47-49.

Suliman, B., Meek, R., Hull, R., et al. Variable stimulated reservoir volume (SRV) simulation: Eagle ford shale case study. Unconventional Resources Technology Conference, Denver, Colorado, 12-14 August, 2013.

Tian, L., Xiao, C., Liu, M., et al. Well testing model for multi-fractured horizontal well for shale gas reservoirs with consideration of dual diffusion in matrix. J. Nat. Gas Sci. Eng. 2014, 21: 283-295.

Van, Everdingen, A.F., Hurst, W. The application of the Laplace transformation to flow problem in reservoirs. J. Pet. Technol. 1949, 1(12): 305-324.

Wang, H., Liao, X., Zhao, X. Study of tight oil reservoir flow regimes in different treated horizontal well. J. Energy Inst. 2015, 88(2): 198-204.

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 Sustainable Energy Rev. 2014, 30: 1-28.

Weng, X., Kresse, O., Chuprakov, D., et al. Applying complex fracture model and integrated workflow in unconventional reservoirs. J. Pet. Sci. Eng. 2014, 124: 468-483.

Wu, K. Numerical modeling of complex hydraulic fracture development in unconventional reservoirs. Austin, The University of Texas at Austin, 2014.

Xu, J., Guo, C., Teng, W., et al. Production performance analysis of tight oil/gas reservoirs considering stimulated reservoir volume using elliptical flow. J. Nat. Gas Sci. Eng. 2015, 26: 827-839.

Yu, W., Zhang, T., Du, S., et al. Numerical study of the effect of uneven proppant distribution between multiple fractures on shale gas well performance. Fuel 2015, 142: 189-198.

Zerzar, A., Bettam, Y. Interpretation of multiple hydraulically fractured horizontal wells in closed systems. Paper SPE 162516 Presented at the Canadian International Petroleum Conference, Calgary, Alberta, 8-10 June, 2004.

Zhao, Y., Zhang, L., Luo, J., et al. Performance of fractured horizontal well with stimulated reservoir volume in unconventional gas reservoir. J. Hydrol. 2014, 512: 447-456.