Sequential Methods for Coupled Geomechanics and Multiphase Flow

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246 BIBLIOGRAPHY Aug. Murad M.A. and Loula A.F.D. 1992. Improved accuracy in finite element analysis of Biot’s consolidation problem. Comput Methods Appl Mech Eng 95: 359–382. Murad M.A. and Loula A.F.D. 1994. On stability and convergence of finite element approximations of Biot’s consolidation problem. Comput Methods Appl Mech Eng 37: 645–667. Ortiz M. and Popov E.P. 1985. Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Int J Numer Methods Eng 21: 1561–1576. Pan F., Sepehrnoori K., and Chin L.Y. 2009. A new solution procedure for a fully coupled geomechanics and compositional reservoir simulator. SPE Res Simul Sym (SPE 119029), Woodland TX, 2-4 Feb. Park K.C. 1983. Stabilization of partitioned solution procedure for pore fluid-soil interaction analysis. Int J Numer Methods Eng 19(11): 1669–1673. Phillips P.J. and Wheeler M.F. 2007a. A coupling of mixed and continuous Galerkin finite element methods for poroelasticity I: the continuous in time case. Comput Geosci 11: 131–144. Phillips P.J. and Wheeler M.F. 2007b. A coupling of mixed and continuous Galerkin finite element methods for poroelasticity II: the discrete-in-time case. Comput Geosci 11: 145–158. Prevost J.H. 1997. Partitioned solution procedure for simultaneous integration of coupled-field problems. Commun. numer. meth. engng. 13: 239–247. Richtmyer R.D. and Morton K.W. 1967. Difference Methods for Initial Value Problems. Chichester, England: John Wiley and Sons, second edition edition. Samier P. and Gennaro S. 2007. A practical iterative scheme for coupling geomechanics with reservoir simulation. SPE Europec/EAGE (SPE 107077), London, 11-14 Jun. Schrefler B.A. 2004. Multiphase flow in deforming porous material. Int J Numer Methods Eng 60: 27–50. Schrefler B.A., Simoni L., , and Turska E. 1997. Standard staggered and staggered Newton schemes in thermo-hydro-mechanical problems. Comput Methods Appl Mech Eng 144: 93–109. Settari A. and Mourits F. 1998. A coupled reservoir and geomechanical simulation system. SPE J 3: 219–226. Settari A. and Walters D.A. 2001. Advances in coupled geomechanical and reservoir modeling with applications to reservoir compaction. SPE J 6(3): 334–342. Simo J. 1991. Nonlinear stability of the time-discrete variational problem of evolution in nonlinear heat conduction, plasticity and viscoplasticity. Comput Methods Appl Mech Eng 88: 111–131.
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SEQUENTIAL METHODS FOR COUPLED GEOM
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I certify that I have read this dis
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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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164 CHAPTER 6. COUPLED MULTIPHASE F
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Page 240 and 241: 214 APPENDIX A. STABILITY IN SPACE
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