Finite volume coupling strategies for the solution of a Biot consolidation model
暂无分享,去创建一个
[1] M. Biot. General Theory of Three‐Dimensional Consolidation , 1941 .
[2] Ruben Juanes,et al. A locally conservative finite element framework for the simulation of coupled flow and reservoir geomechanics , 2007 .
[3] F. Gaspar,et al. Staggered grid discretizations for the quasi-static Biot's consolidation problem , 2006 .
[4] B. Ataie‐Ashtiani,et al. Mathematical Forms and Numerical Schemes for the Solution of Unsaturated Flow Equations , 2012 .
[5] H. Tchelepi,et al. Stability and convergence of sequential methods for coupled flow and geomechanics: Fixed-stress and fixed-strain splits , 2011 .
[6] Francisco Armero,et al. Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions , 1999 .
[7] Abimael F. D. Loula,et al. Improved accuracy in finite element analysis of Biot's consolidation problem , 1992 .
[8] Pieter A. Vermeer,et al. An accuracy condition for consolidation by finite elements , 1981 .
[9] Abimael F. D. Loula,et al. On stability and convergence of finite element approximations of biot's consolidation problem , 1994 .
[10] O. Iliev,et al. On numerical solution of 1-D poroelasticity equations in a multilayered domain , 2004 .
[11] Anna Naumovich,et al. Efficient numerical methods for the Biot poroelasticity system in multilayered domains , 2007 .
[12] R. Lazarov,et al. On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems , 2007 .
[13] Giuseppe Gambolati,et al. Finite element analysis of land subsidence above depleted reservoirs with pore pressure gradient and total stress formulations , 2001 .
[14] F. Gaspar,et al. A finite difference analysis of Biot's consolidation model , 2003 .
[15] Jihoon Kim,et al. Sequential methods for coupled geomechanics and multiphase flow , 2010 .
[16] Antonin Settari,et al. A Coupled Reservoir and Geomechanical Simulation System , 1998 .
[17] Mary F. Wheeler,et al. A coupling of mixed and continuous Galerkin finite element methods for poroelasticity I: the continuous in time case , 2007 .
[18] Giuseppe Gambolati,et al. Ill-conditioning of finite element poroelasticity equations , 2001 .
[19] Ronaldo I. Borja,et al. Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients , 2008 .
[20] Richard E. Ewing,et al. A Modified Finite Volume Approximation of Second-Order Elliptic Equations with Discontinuous Coefficients , 2001, SIAM J. Sci. Comput..
[21] Charles M. Stone,et al. A Comparison of Techniques for Coupling Porous Flow and Geomechanics , 2006 .
[22] B. Ataie‐Ashtiani,et al. Comparison of Numerical Formulations for Two-phase Flow in Porous Media , 2010 .
[23] Sung-Ho Song,et al. Three-dimensional numerical simulation of fully coupled groundwater flow and land deformation due to groundwater pumping in an unsaturated fluvial aquifer system , 2007 .
[24] Ruben Juanes,et al. Stability and convergence of sequential methods for coupled flow and geomechanics: Drained and undrained splits , 2011 .
[25] Keith D. Paulsen,et al. Von Neumann stability analysis of Biot's general two-dimensional theory of consolidation , 1998 .
[26] Tadahiko Shiomi,et al. Practical Programming in Computational Geomechanics: With Special Reference to Earthquake Engineering , 1999 .
[28] B. Schrefler,et al. The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media , 1998 .
[29] Marte Gutierrez,et al. Coupling of Fluid Flow and Deformation in Underground Formations , 2002 .
[30] Nicola Castelletto,et al. A fully coupled 3-D mixed finite element model of Biot consolidation , 2010, J. Comput. Phys..
[31] P. Longuemare,et al. Coupling Fluid Flow and Rock Mechanics: Formulations of the Partial Coupling between Reservoir and Geomechanical Simulators , 2002 .
[32] William Pao,et al. A fully coupled hydro‐thermo‐poro‐mechanical model for black oil reservoir simulation , 2001 .
[33] Susan E. Minkoff,et al. A comparison of adaptive time stepping methods for coupled flow and deformation modeling , 2006 .
[34] U. N. Baton. “Computational geomechanics-with special reference to earthquake engineering” by O. C. Zienkiewicz, A. H. C. Chan, M. Paston, B. A. Schrefler and T. Shiomi , 2000 .