Sequential Methods for Coupled Geomechanics and Multiphase Flow

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244 BIBLIOGRAPHY Mech Eng 122: 145–171. Borja R.I. and Lee S.R. 1990. Cam-clay plasticity, Part I: Implicit integration of elasto-plastic constitutive relations. Comput Methods Appl Mech Eng 78: 49–72. Brenan K.E., Campbell S.L., and Petzold L.R. 1996. Numerical Solution of Initial-value Problems in Differential-algebraic Equations. Philadelphia: SIAM. Chorin A., Hughes T.R., Mccraken M.F., and Marsden J.E. 1978. Product formulas and numerical algorithms. Communications on Pure and Applied Mathematics, 205–256. Coussy O. 1995. Mechanics of porous continua. Chichester, England: John Wiley and Sons. Coussy O. 2004. Poromechanics. Chichester, England: John Wiley and Sons. Coussy O., Eymard R., and Lassabatére T. 1998. Constitutive modeling of unsaturated drying deformable materials. J Eng. Mech. 658–557. Dean R.H., Gai S., Stone C.M., and Minkoff S.E. 2006. A comparison of techniques for coupling porous flow and geomechanics. SPE J 11(1): 132–140. Farhat C., Park K.C., and Dubois-Pelerin Y. 1991. An unconditionally stable staggered algorithm for transient finite element analysis of coupled thermoelastic problems. Comput Methods Appl Mech Eng 85: 349–365. Felippa C.A. and Park K.C. 1980. Staggered transient analysis procedures for coupled mechanical systems: formulation. Comput Methods Appl Mech Eng 24: 61–111. Fortin M. and Brezzi F. 1991. Mixed and Hybrid Finite Element Methods. Springer. Gai X. 2004. A coupled geomechanics and reservoir flow model on parallel computers. Ph.D. Dissertation, University of Texas at Austin. Geertsma J. 1957. The effect of fluid pressure decline on volumetric change of porous rocks. Trans. AIME 210: 331–340. Gutierrez M., Lewis R.W., and Masters I. 2001. Petroleum reservoir simulation coupling fluid flow and geomechanics. SPE Res. Eval. Eng. 164–172. Hairer E. 1986. A- and B-stability for Runge-Kutta methods characterizations and equivalence. Numer. Math 48: 383–389. Hairer E. and T ´ ’urke H. 1984. The equivalence of B-stability and A-stability. BIT 24: 520–528. Huang M. and Zienkiewicz O.C. 1998. New unconditionally stable staggered solution procedures for coupled soil-pore fluid dynamic problems. Int J Numer Methods Eng 43: 1029–1052. Hughes T.J.R. 1987. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Englewood Cliffs, NJ: Prentice-Hall.
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SEQUENTIAL METHODS FOR COUPLED GEOM
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splits, are, at best, conditionally
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deeply. There was deep discussion o
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3 Stability of the Drained and Undr
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6.2.3 Undrained split . . . . . . .
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3.7 Left: the Terzaghi problem in 1
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4.1 The distribution of the error a
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5.3 Case 5.2 (1D injection-producti
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5.18 Pressure history at the observ
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2 CHAPTER 1. INTRODUCTION Reservoir
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4 CHAPTER 1. INTRODUCTION problem (
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6 CHAPTER 1. INTRODUCTION undrained
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8 CHAPTER 1. INTRODUCTION where A c
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10 CHAPTER 1. INTRODUCTION Even whe
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12 CHAPTER 1. INTRODUCTION
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14 CHAPTER 2. FORMULATION full form
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16 CHAPTER 2. FORMULATION dE dt =
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18 CHAPTER 2. FORMULATION where the
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20 CHAPTER 2. FORMULATION coupling
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22 CHAPTER 2. FORMULATION where Div
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24 CHAPTER 2. FORMULATION between g
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26 CHAPTER 2. FORMULATION
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28 CHAPTER 3. STABILITY OF THE DRAI
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82 CHAPTER 4. CONVERGENCE OF THE DR
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100 CHAPTER 4. CONVERGENCE OF THE D
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118 CHAPTER 5. FIXED-STRAIN AND FIX
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164 CHAPTER 6. COUPLED MULTIPHASE F
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Page 240 and 241: 214 APPENDIX A. STABILITY IN SPACE
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Sequential Methods for Coupled Geomechanics and Multiphase Flow

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