The RealGas and RealGasH2O options of the TOUGH+ code for the simulation of coupled fluid and heat flow in tight/shale gas systems

We developed two new EOS additions to the TOUGH+ family of codes, the RealGasH2O and RealGas. The RealGasH2O EOS option describes the non-isothermal two-phase flow of water and a real gas mixture in gas reservoirs, with a particular focus in ultra-tight (such as tight-sand and shale gas) reservoirs. The gas mixture is treated as either a single-pseudo-component having a fixed composition, or as a multicomponent system composed of up to 9 individual real gases. The RealGas option has the same general capabilities, but does not include water, thus describing a single-phase, dry-gas system. In addition to the standard capabilities of all members of the TOUGH+ family of codes (fully-implicit, compositional simulators using both structured and unstructured grids), the capabilities of the two codes include coupled flow and thermal effects in porous and/or fractured media, real gas behavior, inertial (Klinkenberg) effects, full micro-flow treatment, Darcy and non-Darcy flow through the matrix and fractures of fractured media, single- and multi-component gas sorption onto the grains of the porous media following several isotherm options, discrete and fracture representation, complex matrix-fracture relationships, and porosity-permeability dependence on pressure changes. The two options allow the study of flow and transport of fluids and heat over a wide range of time frames and spatial scales not only in gas reservoirs, but also in problems of geologic storage of greenhouse gas mixtures, and of geothermal reservoirs with multi-component condensable (H"2O and CH"4) and non-condensable gas mixtures. The codes are verified against available analytical and semi-analytical solutions. Their capabilities are demonstrated in a series of problems of increasing complexity, ranging from isothermal flow in simpler 1D and 2D conventional gas reservoirs, to non-isothermal gas flow in 3D fractured shale gas reservoirs involving 4 types of fractures, micro-flow, non-Darcy flow and gas composition changes during production.

[1]  T. Narasimhan,et al.  Numerical model for saturated‐unsaturated flow in deformable porous media: 2. The algorithm , 1977 .

[2]  K. E. Starling,et al.  Generalized multiparameter correlation for nonpolar and polar fluid transport properties , 1988 .

[3]  Henry J. Ramey,et al.  Gas Well Testing With Turbulence, Damage and Wellbore Storage , 1968 .

[4]  J. Quirk,et al.  Permeability of porous solids , 1961 .

[5]  D. Feakins,et al.  The thermodynamics of solutions , 1989 .

[6]  Jennifer L. Miskimins,et al.  Analysis of Multiphase Non-Darcy Flow in Porous Media , 2011 .

[7]  O. Redlich,et al.  On the thermodynamics of solutions; an equation of state; fugacities of gaseous solutions. , 1949, Chemical reviews.

[8]  George J. Moridis,et al.  Analysis of Mechanisms of Flow in Fractured Tight-Gas and Shale-Gas Reservoirs , 2010 .

[9]  Mark A. Miller,et al.  Applying Innovative Production Modeling Techniques to Quantify Fracture Characteristics, Reservoir Properties, and Well Performance in Shale Gas Reservoirs , 2010 .

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

[11]  R. Bustin,et al.  Binary gas adsorption/desorption isotherms: effect of moisture and coal composition upon carbon dioxide selectivity over methane , 2000 .

[12]  P. Schettler,et al.  Contributions to Total Storage Capacity in Devonian Shales , 1991 .

[13]  Ramkumar Jayakumar,et al.  A Better Understanding of Finite Element Simulation for Shale Gas Reservoirs through a Series of Different Case Histories , 2011 .

[14]  C. Whitson,et al.  Estimating Diffusion Coefficients of Dense Fluids , 1993 .

[15]  Robert A. Wattenbarger,et al.  Gas Reservoir Decline-Curve Analysis Using Type Curves With Real Gas Pseudopressure and Normalized Time , 1987 .

[16]  Luke D. Connell,et al.  Comparison of adsorption models in reservoir simulation of enhanced coalbed methane recovery and CO2 sequestration in coal , 2009 .

[17]  G. Soave Equilibrium constants from a modified Redlich-Kwong equation of state , 1972 .

[18]  George J. Moridis,et al.  A numerical study of performance for tight gas and shale gas reservoir systems , 2013 .

[19]  Samane Moghadam,et al.  Analysis of Production Data from Fractured Shale Gas Wells , 2010 .

[20]  Jihoon Kim,et al.  Development of the T+M coupled flow-geomechanical simulator to describe fracture propagation and coupled flow-thermal-geomechanical processes in tight/shale gas systems , 2013, Comput. Geosci..

[21]  Erdal Ozkan,et al.  A Semianalytical, Pressure-Transient Model for Horizontal and Multilateral Wells in Composite, Layered, and Compartmentalized Reservoirs , 2006 .

[22]  H. J. Ramey,et al.  Unsteady-State Pressure Distributions Created by a Well With a Single Horizontal Fracture, Partial Penetration, or Restricted Entry , 1974 .

[23]  H. Cinco-Ley,et al.  Pressure Transient Analysis of Wells With Finite Conductivity Vertical Fractures in Double Porosity Reservoirs , 1988 .

[24]  George J. Moridis,et al.  A Numerical Study of Microscale Flow Behavior in Tight Gas and Shale Gas Reservoir Systems , 2011 .

[25]  M. Kowalsky,et al.  TOUGH+Hydrate v1.0 User's Manual: A Code for the Simulation of System Behavior in Hydrate-Bearing Geologic Media , 2008 .

[26]  Faruk Civan,et al.  Effective Correlation of Apparent Gas Permeability in Tight Porous Media , 2010 .

[27]  S. C. Jones A Rapid Accurate Unsteady-State Klinkenberg Permeameter , 1972 .

[28]  Guo Ping,et al.  Analysis of Production Data from Fractured Shale Gas Wells , 2012 .

[29]  T. N. Narasimhan,et al.  A PRACTICAL METHOD FOR MODELING FLUID AND HEAT FLOW IN FRACTURED POROUS MEDIA , 1985 .

[30]  M. W. Conway,et al.  Multiphase Non-Darcy Flow in Proppant Packs , 2009 .

[31]  T. Narasimhan,et al.  On fluid reserves and the production of superheated steam from fractured, vapor‐dominated geothermal reservoirs , 1982 .

[32]  D. N. Dietz,et al.  Determination of average reservoir pressure from build-up surveys , 1965 .

[33]  D. Katz Handbook of Natural Gas Engineering , 1959 .

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

[35]  Thomas Alwin Blasingame,et al.  Semianalytic Solutions for a Well With a Single Finite-Conductivity Vertical Fracture , 1993 .

[36]  Robert A. Wattenbarger,et al.  Rate Transient Analysis in Naturally Fractured Shale Gas Reservoirs , 2008 .

[37]  L. HeberCinco,et al.  Transient Pressure Behavior for a Well With a Finite-Conductivity Vertical Fracture , 1978 .

[38]  George J. Moridis,et al.  Measurement, Modeling, and Diagnostics of Flowing Gas Composition Changes in Shale Gas Wells , 2012 .

[39]  N. Larkin,et al.  On dusty gas model governed by the Kuramoto-Sivashinsky equation , 2004 .

[40]  J. Giddings,et al.  NEW METHOD FOR PREDICTION OF BINARY GAS-PHASE DIFFUSION COEFFICIENTS , 1966 .

[41]  George J. Moridis,et al.  A Numerical Study of Performance for Tight Gas and Shale Gas Reservoir Systems , 2009 .

[42]  K. Pruess,et al.  GMINC - A MESH GENERATOR FOR FLOW SIMULATIONS IN FRACTURED RESERVOIRS , 2010 .

[43]  H. J. Ramey,et al.  Unsteady-State Pressure Distributions Created by a Well With a Single Infinite-Conductivity Vertical Fracture , 1974 .

[44]  K. Pruess,et al.  ECO2M: A TOUGH2 Fluid Property Module for Mixtures of Water, NaCl, and CO2, Including Super- and Sub-Critical Conditions, and Phase Change Between Liquid and Gaseous CO2 , 2011 .

[45]  T. Blasingame,et al.  Improved Permeability Prediction Relations for Low Permeability Sands , 2007 .

[46]  V. S. Vaidhyanathan,et al.  Transport phenomena , 2005, Experientia.

[47]  N. T.,et al.  NUMERICAL MODEL FOR SATURATED-UNSATURATED FLOW IN * DEFORMABLE POROUS MEDIA, PART I: THEORY , 2007 .

[48]  Dennis Denney,et al.  Modeling Well Performance in Shale-Gas Reservoirs , 2010 .

[49]  K. Pruess,et al.  TOUGH2 User's Guide Version 2 , 1999 .

[50]  C. Tsang,et al.  A study of caprock hydromechanical changes associated with CO2-injection into a brine formation , 2002 .

[51]  M. Pakdemirli,et al.  Approximate Analytical Solutions for Flow of a Third-Grade Fluid Through a Parallel-Plate Channel Filled with a Porous Medium , 2010 .

[52]  L. Klinkenberg The Permeability Of Porous Media To Liquids And Gases , 2012 .

[53]  L. Mattar Production Analysis and Forecasting of Shale Gas Reservoirs: Case History-Based Approach , 2008 .

[54]  Gao Chao,et al.  Modeling Multilayer Gas Reservoirs Including Sorption Effects , 1994 .

[55]  M. Gad-el-Hak,et al.  Micro Flows: Fundamentals and Simulation , 2002 .

[56]  Tioluwanimi Oluwagbemiga Odunowo,et al.  Numerical Simulation Study to Investigate Expected Productivity Improvement Using the "Slot-Drill" Completion , 2012 .

[57]  Karsten Pruess,et al.  Gas Flow in Porous Media With Klinkenberg Effects , 1996 .

[58]  C. M. Freeman Study of Flow Regimes in Multiply-Fractured Horizontal Wells in Tight Gas and Shale Gas Reservoir Systems , 2010 .

[59]  K. Pruess,et al.  The Use of Fick's Law for Modeling Trace Gas Diffusion in Porous Media , 2003 .