Modeling of capacitance flow behavior in EOS compositional simulation

Abstract Gas injection is a widely used method for enhanced oil recovery. Oil bypassing by gas occurs at different scales because of micro and macroscopic heterogeneities, gravity segregation, and front instability. Part of the bypassed oil can be recovered by crossflow between the bypassed and flowing regions. This characteristic of reservoir flow is referred to as capacitance flow behavior in the literature. Modeling of such flow behavior at the sub-grid scale is challenging in the conventional flow simulation since fluids are perfectly mixed and in equilibrium within individual grid blocks under the local equilibrium assumption. This research investigates capacitance flow behavior in compositional reservoir simulation. An efficient two-step method is presented to model bypassed oil recovery in multiphase compositional flow simulation of gas floods. The oil bypassing is first quantified by use of the dual-porosity flow with two dimensionless groups; bypassed fraction and throughput ratio. To represent bypassed oil recovery in single-porosity flow, a new flow-based fluid characterization is applied to part of the heavy fractions of the fluid model used. Properties for pseudo components can be determined based on the throughput ratio estimated in the dual-porosity flow. Case studies for various reservoir/fluid properties show that single-porosity flow with the new method reasonably represents bypassed oil recovery observed in core floods and fine-scale heterogeneous simulations.

[1]  Denis Voskov,et al.  A coarse-scale compositional model , 2014, Computational Geosciences.

[2]  B. Dindoruk Analytical theory of multiphase, multicomponent displacement in porous media , 1992 .

[3]  Xiaolong Peng,et al.  Darcy-Stokes Streamline Simulation for the Tahe-Fractured Reservoir With Cavities , 2009 .

[4]  H. Deans A Mathematical Model for Dispersion in the Direction Of Flow in Porous Media , 1963 .

[5]  L. X. Nghiem,et al.  An Efficient Approach to Adaptive- Implicit Compositional Simulation With an Equation of State , 1992 .

[6]  J. W. Barker,et al.  A Predictive Model for Viscous Fingering in Compositional WAG Floods , 1995 .

[7]  K. Mohanty,et al.  Experiments on Bypassing During Gasfloods in Heterogeneous Porous Media , 1996 .

[8]  M. Prevost,et al.  Simulating Residual Oil Saturation in Miscible Gas Flooding Using Alpha-Factors , 2005 .

[9]  Ioannis Chatzis,et al.  Magnitude and Detailed Structure of Residual Oil Saturation , 1983 .

[10]  K. Pande Effects of Gravity and Viscous Crossflow on Hydrocarbon Miscible Flood Performance in Heterogeneous Reservoirs , 1992 .

[11]  K. Jessen,et al.  An Experimental and Numerical Investigation of Crossflow Effects in Two-Phase Displacements , 2006 .

[12]  Carl H. Sondergeld,et al.  Shale Gas-in-Place Calculations Part I: New Pore-Scale Considerations , 2012 .

[13]  Bo Ren,et al.  Laboratory Assessment and Field Pilot of Near Miscible CO2 Injection for IOR and Storage in a Tight Oil Reservoir of ShengLi Oilfield China , 2011 .

[14]  R. B. Lantz Quantitative Evaluation of Numerical Diffusion (Truncation Error) , 1971 .

[15]  D. Stern Mechanisms of Miscible Oil Recovery: Effects of Pore-Level Fluid Distribution , 1999 .

[16]  E. Koval,et al.  A Method for Predicting the Performance of Unstable Miscible Displacement in Heterogeneous Media , 1963 .

[17]  A. Muggeridge,et al.  Experimental and Numerical Studies of Gas/Oil Multicontact Miscible Displacements in Homogeneous and Crossbedded Porous Media , 2007 .

[18]  A. P. Spence,et al.  Core Acquisition and Analysis for Optimization of the Prudhoe Bay Miscible-Gas Project , 1995 .

[19]  F. Orr,et al.  Flow Visualization for CO2/Crude-Oil Displacements , 1985 .

[20]  F. Orr,et al.  Experimental investigation of the interaction of phase behavior with microscopic heterogeneity in a CO2 flood , 1988 .

[21]  Scale-up of mass transfer and recovery performance in heterogeneous reservoirs , 2012 .

[22]  Christie,et al.  Comparisons of empirical viscous-fingering models and their calibration for heterogeneous problems , 1992 .

[23]  C. Marlé Multiphase Flow in Porous Media , 1981 .

[24]  Ashutosh Kumar,et al.  Characterization of reservoir fluids using an EOS based on perturbation from n-alkanes , 2013 .

[25]  F. N. Schneider,et al.  The Effects of Water Injection on Miscible Flooding Methods Using Hydrocarbons and Carbon Dioxide , 1975 .

[26]  K. Mohanty,et al.  Effect of phase behavior on bypassing in enriched gasfloods , 1994 .

[27]  L. Lake,et al.  Enhanced Oil Recovery , 2017 .

[28]  K. H. Coats,et al.  Dead-End Pore Volume and Dispersion in Porous Media , 1964 .

[29]  C. Wilke,et al.  Correlation of diffusion coefficients in dilute solutions , 1955 .

[30]  M. R. Todd,et al.  Development, testing and application of a numerical simulator for predicting miscible flood performance , 1972 .

[31]  J. W. Barker,et al.  Transport Coefficients for Compositional Simulation With Coarse Grids in Heterogeneous Media , 1994 .

[32]  F. Orr,et al.  Effect of Viscous Crossflow on Miscibility Development in a Two-Layer Flow System: Part II - Ternary Condensing Gas Drives , 1994 .

[33]  Christie,et al.  Theory of Viscous Fingering in Two Phase, Three Component Flow , 1994 .

[34]  Long X. Nghiem,et al.  A Non-Equilibrium Equation-of-State Compositional Simulator , 1997 .

[35]  Charles Bardon Gas/Oil Relative Permeabilities and Residual Oil Saturations in a Field Case of a Very Light Oil, in the Near-Miscibility Conditions , 1994 .

[36]  J. P. Camy,et al.  Effect Of Grid Size In The Compositional Simulation Of CO2 Injection , 1977 .

[37]  J. Heller,et al.  A Diffusion Model to Explain Mixing of Flowing Miscible Fluids in Porous Media , 1957 .

[38]  P. Zitha,et al.  Determination of Gas Trapping With Foam Using X-Ray Computed Tomography and Effluent Analysis , 2009 .

[39]  Ashutosh Kumar,et al.  Critical parameters optimized for accurate phase behavior modeling for heavy n-alkanes up to C100 using the Peng–Robinson equation of state , 2012 .

[40]  K. Mohanty,et al.  Mass Transfer From Bypassed Zones During Gas Injection , 1997 .

[41]  Franklin M. Orr,et al.  Theory of Gas Injection Processes , 2005 .

[42]  D. Peng,et al.  A New Two-Constant Equation of State , 1976 .

[43]  J. W. Gardner,et al.  An Investigation of Phase Behavior-Macroscopic Bypassing Interaction in CO2 Flooding , 1984 .

[44]  K. H. Coats AN EQUATION OF STATE COMPOSITIONAL MODEL , 1980 .

[45]  Sylvain Thibeau,et al.  Modelling Residual Oil Saturation in Miscible and Immiscible Gas Floods By Use of Alpha-Factors , 2011 .

[46]  R. Johns Analytical theory of multicomponent gas drives with two-phase mass transfer , 1992 .

[47]  A. P. Spence,et al.  The Effect Of Microscopic Core Heterogeneity On Miscible Flood Residual Oil Saturation , 1980 .

[48]  John Lohrenz,et al.  Calculating Viscosities of Reservoir Fluids From Their Compositions , 1964 .

[49]  F. I. Stalkup Displacement of oil by Solvent at High Water Saturation , 1970 .

[50]  L. E. Baker,et al.  Effects of Dispersion and Dead-End Pore Volume in Miscible Flooding , 1977 .

[51]  Kishore K. Mohanty,et al.  Interpretation of Laboratory Gasfloods With Multidimensional Compositional Modeling , 1991 .

[52]  Koichi Suzuki,et al.  New Method of Incorporating Immobile and Non-vaporizing Residual Oil Saturation Into Compositional Reservoir Simulation of Gasflooding , 2007 .

[53]  Franklin M. Orr,et al.  Flow Visualization of Viscous Fingering in Heterogeneous Porous Media , 1991 .

[54]  L. Young Use of dispersion relationships to model adverse-mobility-ratio miscible displacements , 1990 .

[55]  J. W. Watts,et al.  A Compositional Formulation of the Pressure and Saturation Equations , 1986 .

[56]  Martin J. Blunt,et al.  Tenth SPE Comparative Solution Project: a comparison of upscaling techniques , 2001 .

[57]  S. Salter,et al.  Multiphase flow in porous media: I. Macroscopic observations and modeling , 1982 .

[58]  E. A. Lange,et al.  Correlation and prediction of residual oil saturation for gas injection EOR processes , 1998 .

[59]  B. Rostami,et al.  Mechanistic investigation of bypassed-oil recovery during CO2 injection in matrix and fracture , 2014 .

[60]  F. J. Fayers,et al.  Scaling of Multiphase Flow in Simple Heterogeneous Porous Media , 1994, All Days.

[61]  Hamdi A. Tchelepi,et al.  Thermodynamically Consistent Transport Coefficients for Upscaling of Compositional Processes , 2013, ANSS 2013.

[62]  K. Mohanty,et al.  Effect of Wettability on Oil Recovery by Near-Miscible Gas Injection , 1999 .

[63]  Kishore K. Mohanty,et al.  Effect of Water Saturation on Oil Recovery by Near-Miscible Gas Injection , 1997 .

[64]  R. Hill Elastic properties of reinforced solids: some theoretical principles , 1963 .

[65]  G. Pope,et al.  A higher-order finite-difference compositional simulator , 1990 .

[66]  Michael Andrew Christie,et al.  Tenth SPE Comparative Solution Project: a comparison of upscaling techniques , 2001 .