Finite Element Programming in Non-linear Geomechanics and Transient Flow

Finite element method Equilibrium Convergence Newton-Raphson method Displacement Error analysis Jacobian Conjugate Gradient Method Gravel pack Shear failure Gaussian Elimination Rock Failure Constitutive relation Darcy's law Continuity equation Kinematic hardening Potential Energy 10-node parabolic tetrahedron element 15-node parabolic wedge element 12-node parabolic infinite element 20-node isoparametric element analytical integration Body force Areal coordinate Collapse presure Breakout angle Casing collapse Biaxial compression test Directional cosines Borehole breakout Drained split method Displacement measurement system Drucker–Prager yield theory Drucke-Prager yield envelope Effective Stress Flow performance Drucker-Prager failure criterion Critical drawdown force Four-node infinite element Initial nonlinearity isoparametric Eight-node isoparametric element Elastic cillapse Lade yield theory Mohr-Coulomb yield envelope Lade model failure Lade's failure criterion Maximum stress yield theory Formation Micro Imager Frontal method Full coupling Fluid flow around a perforation Mogi failure Mohr’s nonlinear yield theory Mohr yield theory Neutral stress Non-staggered perforation Gaussian Integration Mogi’s failure criterion Octahedral shear stress yield theory Oriented perfoation Osmosis effect Poro-elasticity Pore collapse failure P-plane Pore-collapse nonlinearity Infinite element Reservoir compaction Residual Method Shear type nonliniarity Simpson’s integration Lade yield envelope Six-node wedge element Local coordinates Spiral perforation Strain Energy Staggered perforation strain Shear-type nonlinearity Line loading Perforation pattern Polyaxial test Nodal force plastic collapse Nonlinearity at low-stress state Nonlinear stress strain Shale swelling effect Shape Function Real triaxial test Standard triaxial test Phase behaviour equation Pore-collapse type nonlinearity Shear failue