Optimization of hydraulic fracture-network parameters based on production simulation in shale gas reservoirs

  • Yongquan Hu
  • zhiqiang li Southwest Petroleum University
  • Jinzhou Zhao
  • Lan Ren
  • Dan Wang

Abstract

This paper presents a dual-porosity composite model to represent the shale gas reservoir with a stimulated reservoir volume (SRV) and adual porosity/dual permeability continuum model withconsideration of Knudsen diffusion, surface diffusion,viscous flow,adsorption and desorption to describe the special flow mechanisms of shale gas in matrix porosity.The SRV domain is regarded as an enhanced permeability zone. The stress sensitivity effect of natural fracture system is also incorporated in the mathematical model. Galerkin finite element has been used to approximate solution of seepagedifferential equations of natural fracture system and matrix system with only taking two-dimensional flow field into account. The finite element equationsfor natural fracture system and matrix system based on triangular element were derived.The method for handling theboundary condition was given. Pressure equations of fracture andmatrix systems were sovled sequentially to model shale-gas production performance. The impact of different values of SRV and fracture permeability and microscopic transport mechanisms on production were quantitatively analysed. The results indicate that the SRV and fracture permeability in stimulated area has the most significant impact on production. While adsorption and desorption, natural fracture permeability in unstimulated area, Knudsen diffusion, surface diffusion have less effect on cumulative gas production but with 36%, 24.5%, 15%, 8.3% cumulative production increase respectively for the reported simulation parameters and a 4.5% production loss for stress sensitivity effect of natural fracture.

Author Biography

zhiqiang li, Southwest Petroleum University

State Key Laboratory of Oil and gas Reservoir Geology and Exploitation

References

Azom, P.N. & Javadpour, F. 2012. Dual-Continuum modeling of shale and tight gas reservoirs. Paper SPE 159584 presented at SPE Annual Technical Conference and Exhibition, San Antonio,Texas, USA.

Aybar, U., Eshkalak, M.O., Sepehrnoori, K. & Patzek, T.W. 2014. The effect of natural fracture’s closure on long-term gas production from unconventional resources. Journal of Natural Gas Science

and Engineering, 21:1205-1213.

Aybar, U., Yu, W., Eshkalak, M.O., Sepehrnoori, K. & Patzek, T.W. 2015. Evaluation of production losses from unconventional shale reservoirs. Journal of Natural Gas Science and Engineering,

:509-516.

Bhatia, K.S., Advani, S.H. & Lee, J.K. 1989. Finite element representation of two-phase fluid flow through a naturally fractured reservoir. Paper SPE 19069 presented at the SPE Gas Technology

Symposium, Dallas, Texas.

Cipolla, C.L. 2009. Modeling production and evaluating fracture performance in unconventional gas reservoirs. Journal of Petroleum Technology, 61(09): 84-90.

Cipolla, C.L., Lolon, E.P., Erdle, J.C. & Tathed, V.S. 2009a. Modeling well performance in shale-gas reservoirs. Paper SPE 125532 presented at SPE/EAGE Reservoir Characterization and Simulation

Conference, Abu Dhabi, UAE.

Cipolla, C.L., Lolon, E.P. & Mayerhofer, M.J. 2009b. Reservoir modeling and production evaluation in shale-gas reservoirs. Paper SPE 13185 presented at International Petroleum Technology Conference, Doha, Qatar.

Cipolla, C.L., Lolon, E.P. & Dzubin, B.A. 2009c. Evaluating stimulation effectiveness in unconventional gas reservoirs. Paper SPE 124843 presented at SPE Annual Technical Conference and Exhibition,

New Orleans, Louisiana.

Cipolla, C.L., Lolon, E.P., Erdle, J.C. & Rubin, B. 2010a. Reservoir modeling in shale-gas reservoirs. SPE Reservoir Evaluation & Engineering, 13(04): 638R653.

Cipolla, C.L., Warpinski, N.R., Mayerhofer, M.J., Lolon, E.P. & Vincent, M.C. 2010b. The relationship between fracture complexity, reservoir properties, and fracture treatment design. SPE Production &

Operations, 25(04):438-452.

Cipolla, C.L., Lolon, E.P., Mayerhofer, M.J. & Warpinski, N.R. 2009e. The effect of proppant distribution and un-propped fracture conductivity on well performance in unconventional gas

reservoirs. Paper SPE 119368 presented at SPE Hydraulic Fracturing Technology Conference, Woodlands, Texas.

Cohen, C.E., Kamat, S., Itibrout, T., Onda, H., Weng, X.W. & Kresse, O. 2014. Parametric Study on Completion Design in Shale Reservoirs Based on Fracturing-to-Production Simulations. Paper SPE

presented at International Petroleum Technology Conference, Doha, Qatar.

Cuo, C.H., Wei, M.Z., Chen, H.W., He, X.M. & Bai, B.J. 2014. Improved numerical simulation for Shale gas reservoirs. Paper SPE 24913 presented at the Offshore Technology Conference, Kuala

Lumpur, Malaysia.

Cao, T.K., Duan, Y.G., Wang, R., Zhang, L.H. & Fang, Q.T. 2015. Numerical simulation and production decline analysis of multiply fractured horizontal wells in shale gas reservoirs. Journal of Engineering Research, 3(3):1-21.

Cheng, Y. 2012a. Impacts of the number of perforation clusters and cluster spacing on production performance of horizontal shale-gas wells. SPE Res Eval & Eng, 15(1):31-40.

Cheng, Y. 2012b. Mechanical interaction of multiple fractures--exploring impacts of the selection of the spacing/number of perforation clusters on horizontal shale-gas wells. SPE Journal, 17(04):992-1,001.

Guo, J.J., Wang, H.T. & Zhang, L.H. 2016. Transient pressure and production dynamics of multi-stage fractured horizontal wells in shale gas reservoirs with stimulated reservoir volume. Journal of

Natural Gas Science and Engineering, 35:425-443.

Hattingh, S.K. & Reddy, B.D. 2009. A finite element approach for modelling single-phase compressible flow in dual porosity systems. Journal of Petroleum Science and Engineering, 69(01):1-24.

Karimi-Fard, M. & Firoozabadi, A. 2003. Numerical simulation of water injection in fractured media using the discrete-fracture model and the galerkin method. SPE Reser & Eval.Eng, 13(04):117-

Liu, M.J., Xiao, C., Wang, Y.C., Li, Z., Zhang, Y.Y., Chen, S. & Wang, G.D. 2015. Sensitivity analysis of geometry for multi-stage fractured horizontal wells with consideration of finite-conductivity

fractures in shale gas reservoirs. Journal of Natural Gas Science and Engineering, 22:182-195.

Li, Y., Jiang, Y., Zhao, J., Liu, C. & Zhang, L. 2015. Extended finite element method for analysis of

multi-scale flow in fractured shale gas reservoirs. Environmental Earth Sciences, 73(10): 6035-

Mayerhofer, M.J., Lolon, E.P., Warpinski, N.R., Cipolla, C.L., Walser, D.W. & Rightmire, C.M.

What is Stimulated Reservoir Volume ? SPE Production & Operations, 10(01):89-98.

Mayerhofer, M.J., Lolon, E.P., Youngblood, J.E. & Heinze, R.J. 2006. Integration of microseismicfracture-

mapping results with numerical fracture network production modeling in the Barnett Shale.

Paper SPE 102103 presented at SPE Annual Technical Conference and Exhibition, San Antonio,

Texas, USA.

Mao, S., Li, G.S., Shah, S.N. & Jin, X.C. 2012. Extended Finite Element Modeling of Multi-scale Flow

in Fractured Shale Gas Reservoirs. Paper SPE 159919 presented at the SPE Annual Technical

Conference and Exhibition, San Antonio, Texas.

Shaw, D.C. 1993. The Treatment of Wells, Faults, and Other Singularities in a Black-Oil, Finite-Element

Reservoir Simulator. Paper SPE 25246 presented at the SPE Symposium on Reservoir Simulation,

New Orleans, Louisiana.

Su, Y.L., Zhang, Q., Wang, W.D. & Sheng, G.L. 2015. Performance analysis of a composite dual-porosity

model in multi-scale fractured shale reservoir. Journal of Natural Gas Science and Engineering,

:1107-1118.

Sahai, V., Jackson, G. & Rai, R.R. 2013. Effect of Non-uniform Fracture Spacing and Fracture Halflength

on Well Spacing for Unconventional Gas Reservoirs. Paper SPE 164927 presented at EAGE

Annual Conference & Exhibition incorporating SPE Europec, London, UK.

Warpinski, N.R., Mayerhofer, M.J., Vincent, M.C., Cipolla, C.L. & Lolon, E.P. 2009. Stimulating

unconventional reservoirs: maximizing network growth while optimizing fracture conductivity.

Journal of Canadian Petroleum Technology, 48(10): 39 - 51.

Wang, J.L. & Jia, A.L. 2014. A general productivity model for optimization of multiple fractures with

heterogeneous properties. Journal of Natural Gas Science and Engineering, 21:608-624.

Wasaki, A. & Akkutlu, I.Y. 2015. Permeability of Organic-rich Shale. SPE Journal, 20(06):1,384 -

,396.

Wu, K. & Olson, J.E. 2013. Investigation of critical in situ and injection factors in multi-frac treatments:Guidelines for controlling fracture complexity. Paper SPE 163821 presented at the SPE Hydraulic

Fracturing Technology Conference, Woodlands, Texas, USA.

Wu, K. & Olson, J.E. 2015. Simultaneous multifracture treatments: fully coupled fluid flow and fracture

mechanics for horizontal wells. SPE Journal, 20(02):337-346.

Xu, J.C., Guo, C.H., Wei, M.Z. & Jiang, R.Z. 2015. Production performance analysis for composite

shale gas reservoir considering multiple transport mechanisms,” Journal of Natural Gas Science

and Engineering, 26:382-395.

Yu, W., Luo, Z., Javadpour, F., Varavei, A. & Sepehrnoori, K. 2014. Sensitivity analysis of hydraulic

fracture geometry in shale gas reservoirs. Journal of Petroleum Science and Engineering, 113:1-7.

Yu, W., Zhang, T., Du, S. & Sepehrnoori, K. 2015. Numerical study of the effect of uneven proppant

distribution between multiple fractures on shale gas well performance. Fuel, 142:189-198.

Yu, W. & Sepehrnoori, K. 2014a. Sensitivity study and history matching and economic optimization

for Marcellus shale. Paper SPE 2014-1923491 presented at Unconventional Resources Technology

Conference (URTEC), Denver, Colorado, USA.

Yu, W. & Sepehrnoori, K. 2014b. Simulation of gas desorption and geomechanics effects for

unconventional gas reservoirs. Fuel, 116:455-464.

Yao, J., Sun, H., Fan, D., Wang, C. & Sun, Z. 2013. Numerical simulation of gas transport mechanisms

in tight shale gas reservoirs. Petroleum Science, 10(4):528-537.

Zhang, X., Du, C., Deimbacher, F., Crick, M. & Harikesavanallur, A. 2009. Sensitivity Studies of

Horizontal Wells with Hydraulic Fractures in Shale Gas Reservoirs. Paper SPE 13338 presented at

International Petroleum Technology Conference, Doha, Qatar.

Zhao, Y.L., Zhang, L.H., Luo, J.X. & Zhang, B.N. 2014. Performance of fractured horizontal well with

stimulated reservoir volume in unconventional gas reservoir. Journal of Hydrology, 512:447-45.

Zeng, H., Fan, D., Yao, J. & Sun, H. 2015. Pressure and rate transient analysis of composite shale

gas reservoirs considering multiple mechanisms. Journal of Natural Gas Science and Engineering,

:914-925.

Zhang, M., Yao, J., Sun, H., Zhao, J., Fan, D., Huang, Z. & Wang, Y. 2015. Triple-continuum modeling

of shale gas reservoirs considering the effect of kerogen. Journal of Natural Gas Science and

Engineering, 24:252-263.

Zhao, J.Z., Li, Z.Q., Hu, Y.Q., Ren, L. & Tao, Z.W. 2016. The Impacts of Microcosmic Flow in

Nanoscale Shale Matrix Pores on the Gas Production of a Hydraulically Fractured Shale-Gas Well.

Journal of Natural Gas Science and Engineering, 29:431-439.

Published
2017-01-16
Section
Petroleum Engineering