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Covered topics in Advanced Geomechanics PGE 383 (UT Austin)
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Advanced Geomechanics - Fall 2020
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- 1 Covered topics in Advanced Geomechanics PGE 383 (UT Austin)
- 2 L01 The Stress Tensor
- 3 L02 Cauchy's equilibrium equation and vertical stress derivation
- 4 L03 Principal Geo-Stresses and Faulting Regimes in the Subsurface
- 5 L04 Stress invariants, isotropic and deviatoric stress components, stress path
- 6 WP1.1 Reading a stress log
- 7 WP1.2 Computing total vertical stress from density data (well logging) and wellbore deviation survey
- 8 L05 Stress projection on a plane (fault/fracture/interface): 2D and 3D
- 9 WP2 Calculating shear and effective normal stresses on fractures and faults
- 10 L06 General Solution of Continuum Mechanics Problem
- 11 L07 Kinematic equations: small strains
- 12 L08 Constitutive equations: Linear elasticity (orthohombic, VTI, isotropic)
- 13 WP3 Horizontal stress computed as a function of depth with linear isotropic elasticity
- 14 L09 Horizontal stresses predicted by linear isotropic elasticity
- 15 L10 Populating a Mechanical Earth Model (isotropic case)
- 16 L11 Elastic anisotropy measurement in the laboratory: static and dynamic loading
- 17 L12 Elastic anisotropy quantification: dimensionless parameters, experimental data and models
- 18 L13 Derivation of Navier's elasticity equation (linear elastic isotropic)
- 19 L14 Variational formulation for continuum mechanics
- 20 WP4 Solution of Navier's Equation: stresses around wellbores and fractures
- 21 L15 Solution to 2D elasticity with FreeFEM++ and visualization with Paraview
- 22 L16 The porous solid: bulk strain, solid strain and porosity strain
- 23 L17 Fundamental poroelasticity equations and poroelastic parameters
- 24 WP5 Determination of Biot coefficient and horizontal stress prediction after depletion
- 25 L18 Indirect determination and direct measurement of the Biot coefficient
- 26 L19 Poroelasticity: more than an effective stress equation
- 27 L20 Poroelastic drained solution of in-situ stress and change with depletion
- 28 L21 Pore pressure diffusivity equation for fluid flow coupled with poroelasticity
- 29 L22 Undrained loading: change of pore pressure, undrained bulk modulus and Skempton coefficient
- 30 L23 Thermo-elasticty: subsurface engineering applications and constitutive equation
- 31 L24 Thermal stresses in reservoirs and wellbores
- 32 L25 Heat equation coupled with elasticity and thermo-poro-elasticity
- 33 L26 Chemo-mechanical coupled processes: shale and organic matter swelling
- 34 L27 Elasto-visco-plastic response: creep, stress relaxation, and strain-rate dependent stiffness
- 35 L28 Inelastic deformation examples in subsurface engineering applications
- 36 L29 Tresca and von Mises yield surfaces
- 37 L30 Mohr-Coulomb, Dracker-Prager, and Modified Lade yield criteria
- 38 WP7 Shear and tensile failure in deviated wellbores
- 39 L31 Determination of plastic strains with the flow rule
- 40 L32 Cam-Clay model (Part 1): critical state line, yield surface and isotropic consolidation line
- 41 L33 Cam-Clay model (Part 2): calculation of elastic and plastic strains
- 42 L34 Brittle to ductile failure transition in rocks
- 43 WP8 Cam-clay model application to over-pressure prediction and calculation of plastic strains
- 44 L35 Breakdown pressure and ideal hydraulic fracture orientation (video fixed)
- 45 L36 Introduction to the coupled fluid-driven fracture problem
- 46 L37 Pressurized fractured problem: linear elastic fracture mechanics solution
- 47 L38 Coupled fluid-driven fracture problem: PKN step-by-step solution
- 48 L39 Fluid-driven fracture propagation regimes in porous media
- 49 L0507a Multistage Hydraulic Fracturing, microseismicity, and fracture swarms
- 50 WP9 Stress shadows and fracture interaction
- 51 L40 Microseismicity in multistage hydraulic fracturing, seismic and aseismic shear slip
- 52 L41 Subcritical fracture propagation: implications for natural fractures and hydraulic fracturing
