Acknowledgement
본 연구는 국토교통부/국토교통과학기술진흥원의 지원으로 수행되었습니다(과제번호 RS-2022-00143541). 또한, 본 연구는 한국에너지기술평가원(KETEP)의 지원을 받아 수행되었습니다(No. 20212010200010).
References
- Yan, T., Li, W., and Bi, X., "An Experimental Study of Fracture Initiation Mechanisms during Hydraulic Fracturing", Petroleum Science, 8, 87-92, (2011)
- Li, J. H., Li, B. B., Cheng, Q. Y., and Gao, Z. "Characterization of the fracture compressibility and its permeability for shale under the effects of proppant embedment and compaction: A preliminary study", Petroleum Science, 19(3), 1125-1138, (2022)
- Kern, L. R., Perkins, T. K., and Wyant, R. E., "The Mechanics of Sand Movement in Fracturing", Journal of Petroleum Technology, 11(7), 55-57, (1959)
- Daneshy, A. A., "Numerical Solution of Sand Transport in Hydraulic Fracturing", Journal of Petroleum Technology, 30(1), 132-140, (1978)
- Ouyang, S., Carey, G. F., and Yew, C. H., "An Adaptive Finite Element Scheme for Hydrauilc Fracturing with Proppant Transport", International Journal for Numerical Methods in Fluids, 24, 645-670, ( 1998)
- Dontsov, E. V. and Peirce, A. P., "Proppant Transport in Hydraulic Fracturing: Crack Tip Screen-out in KGD and P3D Models", International Journal of Solids and Structure, 63, 206-218, (2015)
- Jia, B. and Xian, C. G., "Permeability measurement of the fracture-matrix system with 3D embedded discrete fracture model", Petroleum Science, 19(4), 1757-1765, (2022)
- Davies, D. R. and Kulper, T. O. H., "Fracture Conductivity in Hydraulic Fracture Stimulation", Journal of Petroleum Technology, 40(5), 550-552, (1988)
- Zheng, X., Chen, M., Hou, B., Ye, Z., Wang, W., Yin, C. and Chen, X., "Effect of Proppant Distribution Pattern on Fracture Conductivity and Permeability in Channel Fracturing", Journal of Petroleum Science and Engineering, 149, 98-106, (2017)
- Seidle, J. P., Jeansonne, M. W. and Erickson, D. J., "Application of Matchstick Geometry to Stress Dependent Permeability in Coal", SPE Rocky Mountain Regional Meeting, Casper, Wyoming, USA, (1992)
- Shi, J. Q. and Durucan, S., "Exponential Growth in San Juan Basin Fruitland Coalbed Permeability with Reservoir Drawdown: Model Match and New Insight", SPE Rocky Mountain Petroleum Technology Conference, Denver, Colorado, USA, (2009)
- Chen, D., Pan, Z. and Ye, Z., 2015, "Dependence of Gas Shale Fracture on Effectives Stress and Reservoir Pressure: Model Match and Insights", The Science and Technology of Fuel and Energy, 139, 383-392, (2009)
- Chen, D., Ye, Z., Pan, Z., Zhou, Y. and Zhang, J., "A Permeability Model for the Hydraulic Fracture Filled with Proppant Packs under Combined Effect of Compaction and Embedment", Journal of Petroleum Science and Engineering, 149, 428-435, (2017)
- Rutqvist, J., Wu, Y. S., Tsang, C. F., and Bodvarsson, G., "A Modeling Approach for Analysis Multiphase Fluid Flow, Heat Transfer, and Deformation in Fractured Porous Rock", International Journal of Rock Mechanics and Mining Sciences, 39, 429-442, (2002)
- Raghavan, R., and Chin, L. Y., "Productivity Changes in Reservoirs with Stress-Dependent Permeability", SPE Annual Technical Conference and Exhibition, San Antonio, Texas, USA, (2004)
- Min, K., Rutqvist, J., Tsang, C., and Lanru, J., "Stress-Dependent Permeability of Fractured Rock Masses: a Numerical Study", International Journal of Rock Mechanics and Mining Sciences, 41, 1191-1210, (2004)
- Celis, V., Guerra, J., and Da Prat, G., "A New Model for Pressure Transient Analysis in Stress Sensitive Naturally Fractured Reservoirs", SPE Advanced Technology Series, 2(1), 126-135, (1994)
- Yilmaz, O., and Nur, A., Pore Pressure Fronts in Fractured Rock System, Department of Geophysics, Stanford University, (1985)
- Settari, A. T., Bachman, R. C. and Walter, D. A., "How To Approximate Effects of Geomechanics in Conventional Reservoir Simulation", SPE Annual Technical Conference and Exhibition, Dallas, Texas, USA, (2005)
- Lee, T., Park, D., Shin, C., Jeong, D. and Choe, J., "Efficient Production Estimation for a Hydraulic Fractured Well Considering Fracture Closure and Proppant Placement Effects", Energy Exploration Exploitation, 34(4), 643-658, (2016)