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L12 Drained problem of reservoir depletion: Total and effective stresses
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Classroom Contents
Advanced Geomechanics - Fall 2019
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- 1 L01-1 Introduction to PGE 383, Overview Project 1: Stress Log
- 2 L01-2 Reading a Stress Log and the in-situ stress tensor
- 3 L01-3 Introduction to the stress tensor, principal stresses and principal directions
- 4 L01-4 Principal stresses and principal directions, Cauchy's equilibrium equations
- 5 L02-1 Principal stresses, tensor of effective stresses, lithostatic stress gradient
- 6 L02-2 General solution for vertical stress, vertical stress from logs and deviation survey
- 7 L02-3 Numerical integration for vertical stress, stress regimes
- 8 L02-4 Ideal hydraulic fracture orientation depending on stress regime
- 9 L03-1 Plotting a tensor? 3D Mohr circle
- 10 L03-2 Stress projection on fractures, stress decomposition in isotropic and deviatoric
- 11 L03-3 Stress tensor invariants, J2-I1 space, stress path concept, p`-q space
- 12 L03-4 Reservoir stress paths, 2D stress projection on plane
- 13 L03-5: 3D stress projection on plane
- 14 L03-6: 3D stress projection on plane (continued), shear and normal stress
- 15 L04-1 Summary Project #1, Intro Project #2: normal and shear stresses on fracture planes
- 16 L04-2 Transformation matrix from principal to geographical coordinate system
- 17 L04-3 Fracture and fault coordinate system, dip and strike
- 18 L04-4 Stresses on fractures, 3D Mohr circle and stereonet interpretation
- 19 L04-5 Placing a horizontal wellbore in a naturally fractured formation
- 20 L05 Project 3 1D MEM, solution to a continuum mechanics problem, kinematic and constitutive eqs
- 21 L06 Vertical Transverse Isotropy and isotropic elasticity, isotropic elastic 1D MEM
- 22 L07 1D MEM for hydraulic fracture containment, measuring Cij for VTI media,
- 23 L08 Anisotropic VTI 1D MEM, Solution to general continuum mechanics problem, FEM solution
- 24 L09 Plane strain solution of stresses around a cavity with FreeFEM++
- 25 L10 Wellbore stability, Poroelasticity: solid strain, porosity strain, energy of the porous solid
- 26 L11 Poroleasticity equations and the Biot coefficient, poroelasticity beyond effective stress law
- 27 L12 Drained problem of reservoir depletion: Total and effective stresses
- 28 L13 Undrained loading: diffusivity equation, examples and characteristic parameters
- 29 L14 Thermo-elasticity: application examples, theory, and uniaxial strain condition
- 30 L15 thermo-poro-elasticity and visco-elasticity
- 31 L16 Chemo-elasticity and introduction to plasticity
- 32 L17 Yield criteria and yield surfaces: Tresca, von Mises, Drucker-Prager and Mohr-Coulomb
- 33 L18 Failure surfaces: Coulomb and Lade; workflow for stability of deviated wellbores
- 34 L19 Plasticity theory: examples with Coulomb yield criterion and Cam-Clay model
- 35 L20 Introduction to plasticity with the Cam-Clay model
- 36 L21 Calculation of elastic and plastic strains with the Cam-clay model
- 37 L22 Wellbore breakdown pressure, ideal single and multi-stage hydraulic fracture geometry
- 38 L23 Linear elastic fracture mechanics and fluid-driven fracture models
- 39 L24 Fluid-driven fractures in porous media and multistage hydraulic fracture design
- 40 L25 Micro-seismicity, SRV, subcritical fracture propagation and hydraulic fractures in sand
