Pressure transient analysis of multistage fracturing horizontal wells with finite fracture conductivity in shale gas reservoirs

Abstract A new analytical solution of pressure transient analysis is proposed for multistage fracturing horizontal well (MFHW) with finite-conductivity transverse hydraulic fractures in shale gas reservoirs. The effects of absorption, diffusion, viscous flowing, stress sensitivity, flow convergence, skin damage and wellbore storage are simultaneously considered as well in this paper. Laplace transformation, source sink function, perturbation method and superposition principle are, respectively, employed to solve related mathematical models of reservoir system and hydraulic fracture system. And then boundary element method (BEM) is applied to couple reservoir system and hydraulic fracture system. The transient pressure is inverted from Laplace space into real time space with Stehfest numerical inversion algorithm. Based on this new solution, the distribution of transient pseudo-pressure for MFHW with multiple finite-conductivity transverse hydraulic fractures is obtained. Different flowing regimes are identified, and the effects of relevant parameters are analyzed as well. The essence of this paper is considering the effects of transient gas flowing occurrence in finite-conductivity hydraulic fractures with BEM. Compared with some existing models and numerical simulation model of shale gas reservoirs, this proposed new model can provide a relative more accurate analysis of the relevant parameters, especially for the fracture conductivity. In conclusion, this new model provides the relative accurate and comprehensive evaluation results for multistage fracturing horizontal technology.

[1]  Wanjing Luo,et al.  Pressure transient analysis of multi-stage fractured horizontal wells in boxed reservoirs , 2014 .

[2]  Robert A. Wattenbarger,et al.  Triple-porosity Models: One Further Step Towards Capturing Fractured Reservoirs Heterogeneity , 2011 .

[3]  Roland N. Horne,et al.  Relative Productivities and Pressure Transient Modeling of Horizontal Wells with Multiple Fractures , 1995 .

[4]  Haitao Wang,et al.  A Boundary Element Method Applied to Pressure Transient Analysis of Geometrically Complex Gas Reservoirs , 2009 .

[5]  James Wei,et al.  Diffusion mechanism of hydrocarbons in zeolites—I. Theory , 1992 .

[6]  R. Archer.  Impact of Stress Sensitive Permeability on Production Data Analysis , 2008 .

[7]  Haitao Wang,et al.  Performance of multiple fractured horizontal wells in shale gas reservoirs with consideration of multiple mechanisms , 2014 .

[8]  Erdal Ozkan,et al.  A Hybrid Numerical/Analytical Model of a Finite-Conductivity Vertical Fracture Intercepted by a Horizontal Well , 2006 .

[9]  Michael J. Economides,et al.  A parametric comparison of horizontal and vertical well performance , 1991 .

[10]  Jinzhou Zhao,et al.  “Triple porosity” modeling of transient well test and rate decline analysis for multi-fractured horizontal well in shale gas reservoirs , 2013 .

[11]  J. E. Warren,et al.  The Behavior of Naturally Fractured Reservoirs , 1963 .

[12]  Hossein Kazemi,et al.  Pressure transient analysis of naturally fractured reservoirs with uniform fracture distribution , 1969 .

[13]  Rajagopal Raghavan,et al.  Comparison of Fractured-Horizontal-Well Performance in Tight Sand and Shale Reservoirs , 2011 .

[14]  Peter P. Valko,et al.  The Method of Distributed Volumetric Sources for Calculating the Transient and Pseudosteady-State Productivity of Complex Well-Fracture Configurations , 2007 .

[15]  Roland N. Horne,et al.  Analytic Solutions for Elliptical Finite-Conductivity Fractures , 1991 .

[16]  George M. Nixon,et al.  Practical Considerations of , 1945 .

[17]  Manouchehr Haghighi,et al.  Development of New Type Curves for Production Analysis in Naturally Fractured Shale Gas/Tight Gas Reservoirs , 2013 .

[18]  Roland N. Horne,et al.  Pressure-transient analysis of arbitrarily shaped reservoirs with the boundary-element method , 1992 .

[19]  M. C. Vincent,et al.  Non-darcy and multiphase flow in propped fractures : Case studies illustrate the dramatic effect on well productivity , 1999 .

[20]  R. Raghavan,et al.  A multiply-fractured horizontal well in a rectangular drainage region , 1997 .

[21]  G. I. Barenblatt,et al.  Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata] , 1960 .

[22]  Rajagopal Raghavan,et al.  Pressure Transient Behavior and Inflow Performance of Multiple Wells in Closed Systems , 2000 .

[23]  Ibrahim Sami Nashawi,et al.  Constant-pressure well test analysis of finite-conductivity hydraulically fractured gas wells influenced by non-Darcy flow effects , 2006 .

[24]  Christopher R. Clarkson,et al.  Production data analysis of unconventional gas wells: Review of theory and best practices , 2013 .

[25]  Erdal Ozkan,et al.  A Hybrid Numerical-Analytical Model of Finite-Conductivity Vertical Fractures Intercepted by a Horizontal Well , 2004 .

[26]  O. A. Pedrosa.  Pressure Transient Response in Stress-Sensitive Formations , 1986 .

[27]  Yulong Zhao,et al.  Analysis of horizontal well pressure behaviour in fractured low permeability reservoirs with consideration of the threshold pressure gradient , 2013 .

[28]  T. M. Hegre,et al.  Pressure-Transient Behavior of Horizontal Wells With Finite-Conductivity Vertical Fractures , 1991 .

[29]  F. Javadpour.  Nanopores and Apparent Permeability of Gas Flow in Mudrocks (Shales and Siltstone) , 2009 .

[30]  Louis Mattar,et al.  Analytical Model for Unconventional Multifractured Composite Systems , 2013 .

[31]  Rajagopal Raghavan,et al.  Practical Solutions for Pressure-Transient Responses of Fractured Horizontal Wells in Unconventional Shale Reservoirs , 2011 .

[32]  Ahmed H. El-Banbi,et al.  Production Analysis of Linear Flow Into Fractured Tight Gas Wells , 1998 .

[33]  Liehui Zhang,et al.  RETRACTED: Pressure transient analysis for multi-fractured horizontal well in shale gas reservoirs , 2012 .

[34]  Genliang Guo,et al.  Pressure-Transient Behavior and Inflow Performance of Horizontal Wells Intersecting Discrete Fractures , 1993 .

[35]  A. de Swaan O..  Analytic Solutions for Determining Naturally Fractured Reservoir Properties by Well Testing , 2017 .

[36]  F. Javadpour,et al.  Nanoscale Gas Flow in Shale Gas Sediments , 2007 .