Zhu Chao-fan，Li Ya-jun，Sang Qian，Gong Hou-jian，Li Yan-chao，Dong Ming-zhe . The time-dependent shape factor study for tight sandstone with fracture[J]. Natural Gas Geoscience, 2017 , 28(5) : 792 -800 . DOI: 10.11764/j.issn.1672-1926.2017.04.005

[1]Lu Tao,Liu Yanxia,Wu Lichao,et al.Challenges to and countermeasures for the production stabilization of tight sandstone gas reservoires of the Sulige Gasfield,Ordos Basin[J].Natural Gas Industry,2015,35(6):43-52.[卢涛，刘艳侠，武力超，等.鄂尔多斯盆地苏里格气田致密砂岩气藏稳产难点与对策[J].天然气工业，2015,35(6):43-52.]
[2]Tang Ruijiang.Optimization of fracturing trchnology for low-permeability tight sandstone gas reservoirs in the Yuanba Gasfield,Sichuan Basin[J].Natural Gas Industry,2015,35(7):55-59.[唐瑞江.元坝气田低渗透致密砂岩气藏压裂优化技术[J].天然气工业，2015,35(7):55-59.]
[3]Beckner J B.Improved Modeling of Imbibition Matrix/Fracture Fluid Transfer in Double Porosity Simulators[D].California,US:Stanford University,1990.
[4]Warren J E,Root P J.The behavior of naturally fractured reservoirs[J].Society of Petroleum Engineers Journal,1963,6(3):245-255.
[5]Sarma P,Aziz K.New transfer functions for simulation of naturally fractured reservoirs with dual-porosity models[J].Society of Petroleum Engineers Journal,2006,11(3):328-340.
[6]Barenblatt G E,Zheltov I P,Kochina I N.Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (strata)[J].Journal of Applied Mathematics and Mechanics,1960,20(8):52-64.
[7]Kazemi H,Merrill L S,Porterfield K L,et al.Numerical simulation ofwater-oil flow in naturally fractured reservoirs[J].Society of Petroleum Engineers Journal,1976,16(6):26-35.
[8]Coats K H.Implicit compositional simulation of single-porosity and dualporosity reservoirs[J].Paper Spe,1989.
[9]Zimmerman R W,Chen G,Hadgu T,et al.A numerical dual-porosity model with semi-analytical treatment of fracture/matrix flow[J].Water Resources Research,1993,29(7):27-37.
[10]Kazemi H,Gilman J R.Multiphase flow in fractured petroleum reservoirs[J].Flow and Contaminant Transport in Fractured Rock,1993,56(10):267-323.
[11]Lim K T,Aziz K.Matrix-fracture transfer shape factors for dual-porosity simulators[J].Journal of Petroleum Science & Engineering,1995,13(1):69-78.
[12]Chang M M.Analytical solution to single and two-phase flow problems of naturally fractured reservoirs:theoretical shape factor and transfer functions[D].Johor,Malaysia:Universiti Teknologi Malaysia,1995.
[13]Hassanzadeh H,Pooladi-Darvish M,Atabay S.Shape factor in the drawdown solution for well testing of dual-porosity systems[J].Advances in Water Resources,2009,32(11):1652-1663.
[14]Quintard M,Whitaker S.Transport in chemically and mechanically heterogeneous porous media.I:Theoretical development of region-averaged equations for slightly compressible single-phase flow[J].Advances in Water Resources,1996,19(1):29-47.
[15]Yang Zehao,Dong Mingzhe,Zhang Shaojie,et al.A method for determining transverse permeability of tight reservoir cores by radial pressure-pulse decay measurement[J].Journal of Geophysical Research Solid Earth,2016,121(10):7054-7070.
[16]He Y.The Shape Factor Study and Application for Fractured Reservoir[D].Chengdu:Chengdu University of Technology,2007.[何勇明.裂缝性油藏形状因子研究及应用[D].成都:成都理工大学，2007.]
[17]Ranjbar E,Hassanzadeh H.Matrix-fracture transfer shape factor for modeling flow of a compressible fluid in dual-porosity media[J].Advances in Water Resources,2011,34(5):627-639.
[18]Hassanzadeh H,Pooladi-Darvish M.Effects of fracture boundary conditions on matrix-fracture transfer shape factor[J].Transport Porous Media,2006,64(1):51-71.
[19]Bourbiaux B,Granet S,Landereau P,et al.Scaling up matrix-fracture transfers in dual-porosity models:Theory and application[C]//SPE annual technical conference at Houston.Tesas:Society of Petroleum Engineers,1999.
[20]Sarda S,Jeannin L,Bourbiaux B.Hydraulic characterization of fractured reservoirs: simulation on discrete fracture models[C]//SPE Reservoir Simulation Symposium at Houston.Tesas:Society of Petroleum Engineers,2001.
[21]Helmy M W,Wattenbarger R A.New shape factor for wells producted at constant pressure[J].Gas Field,1998:131-138.
[22]Edgar R,Anthony R,Kovscek.Time-dependent matrix-fracture shape-factor for partially and completely immersed fractures[J].Journal of Petroleum Science and Engineering,2003,54(3):149-163.
[23]Aditya N,Edgar R,Anthony R.Experimental determination of time-dependent matrix-fracture shape factors for different geometries and fracture filling regimes[J].Tetrahedron,2004,61(49):11672-11678.
[24]Ranjbar E,Hassanzadeh H,Chen Z X.Effect of fracture pressure depletion regimes on the dual-porosity shape factor for flow of compressible fluids in fractured porous media[J].Advances in Water Resources,2011,34(12):1681-1693.
[25]Sun Hedong,Mao Xiaoping,Kang Bo.Dynamic production performance prediction and decline laws of rectangular gas reservoirs[J].Natural Gas Industry,2011,31(7):40-42.[孙贺东，毛小平，康博.矩形气藏的产量递减规律及动态预测方法[J].天然气工业，2011,31(7):40-42.]
[26]Huyakorn P S.Finite element techniques for modeling groundwater flow in fractured aquifers[J].Water Resources Research,1983,19(4):1019-1035.
[27]Streltsova T D.Hydrodynamics of groundwater flow in a fractured formation[J].Water Resources Research,1977,12(3):405-414.
[28]Flynn G P,Hanks R V,Lemaire N A,et al.Viscosity of Nitrogen,Helium,Neon,and Argon from -78.5℃ to 100℃ below 200 Atmospheres[J].The Journal of Chemical Physics,1963,38(1):154-162.