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Contribution List

Displaying 56 contributions out of 56
Session: ADMINISTRATIVE FORMALITIES
Session: Basil/sybil exercise with a sinking sphere or cylinder
Session: Characteristics of plumes in Rayleigh-Bénard convection at high Ra
Session: Chemical differences. Buoyancy number: Marginal stability, dependence on Rayleigh number and Buoyancy number.
Session: Convection and crystallization in magma reservoirs: thermal and compositional.
Session: Convection driven by density anomalies in the Earth s mantle. Dynamic topography.
Session: DEEP CONVECTION: Pressure-dependence of density: non-Boussinesq flow. Dissipation number, temperature scale height Isentropes and adiabats. Energy balance and scaling of dissipation with Rayleigh number.
Session: Deflection of the surface above a sinking sphere and associated gravity anomalies and geoid. [Morgan, 1965]
Session: Derivation of GPE. 2D stress balance for different crustal structure/boundary conditions
Session: Derivation of basic equation for growth rate. Example of instability
Session: Derivation of the basic heat transfer equation and heating or cooling by diffusion
Session: Derivation of thin viscous sheet equations
Session: Diagnostics of thin sheet deformation: matching gradients in strain-rates to gradients in GPE, and faulting response. Case studies: Tibet, Aegean and Indian Ocean.
Session: Dissipation equation. New derivation of Nusselt number vs. Rayleigh number relationship
Session: Equation for the horizontally averaged temperature and the convective heat flux Thermal structure of fluid layer: boundary layers and well-mixed interior.
Session: Equilibrium & disequilibrium formulations. Melting column solutions.
Session: Evolution of initially stratified fluid
Session: Examples using Houseman s code sybil to examine exponential form of blobs and thinning using runs already carried out. Derive the growth rate for a simple case. (For instance, 2 half-spaces with constant, different density, and exponentially decreasing viscosity), Scaling of growth rate to various parameters (density, g, thickness, and viscosity).
Session: Examples of a cooling lithosphere: both cooling plate and cooling half-space, comparison of different boundary conditions (fixed temperature and fixed heat flux).
Session: Examples of convective systems: mantle, magma reservoirs. Marginal stability: Influence of boundary conditions (Free boundaries, rigid boundaries, fixed temperature, fixed heat flux).
Session: Examples using sybil to examine the time dependence of growth: exponential for n = 1, and super-exponential with n > 1 Scaling of growth rate to n.
Session: Free boundaries versus rigid boundaries. Large Prandtl number fluids. Convective loop model. Scaling relations for velocity and heat flux (no internal heating).
Session: Growth rate as a function of wavenumber, dependence on boundary conditions, eigenfunctions
Session: ICTP COLLOQUIUM: Mantle dynamics and the rise and fall of mountain belts
Session: Instabilities & the tectonic context. Mechanical and reactive melting instabilities. Magma-genesis and focussing at mid-ocean ridges
Session: Introduction of energy equation. Boussinesq approximation.
Session: Latent heat of crystallization and melting. Stefan number. Diffusive cooling: pure substance. Mushy layers: observations (lava lakes). Mushy layers: models.
Session: MAGMATIC SYSTEMS: MECHANICS. Derivation of conservation of mass & momentum equations. Scaling and the compaction length. Magma wave solutions.
Session: Mixing and Volcanos
Session: Molnar and England’s S in thrust faulting
Session: Non-Newtonian rheology. Non-Newtonian with temperature-dependent rheology. Scaling for velocity, heat flux, stress and strain-rate.
Session: OPEN DISCUSSION AND CONCLUSION
Session: Plumes and thermals. Use these to derive scaling relations for velocity as a function of power input and to discuss dynamical regimes (laminar vs. turbulent). Use plumes to illustrate Prandtl number, diffusion of heat and momentum and boundary layer structure. (Application of simple convection code)
Session: Practicals and exercises: problem sets + a few computer runs.
Session: Practicals and exercises: problem sets + a few computer runs.
Session: RECEPTION - GET TOGETHER
Session: REGISTRATION
Session: Rayleigh-Bénard convection (no internal heating). Heuristic argument to introduce Rayleigh number. Dimensional analysis. Rayleigh number, Prandtl number, Reynolds number for convective flow.
Session: Rayleigh-Taylor instability, effects of non-Newtonian viscosity. Derivation of the dependence of growth rate on n.
Session: Scaling for internally heated fluids. Thermal structure of fluid layer
Session: Scaling of areal extent of deformation to dimensions of boundaries and to n (England, Houseman, and Sonder, 1985), plus dependence on Ar. Exercises on simple boundary-driven deformation problems using basic solutions. Dependence on the Argand number, Ar, and the exponent n.
Session: Scaling of stress differences to elevations (in isostasy), and simple problems illustrating force per unit length
Session: Simple problems of isostasy
Session: Small-scale convection beneath oceanic and continental lithosphere
Session: Solidification Scaling of time and depth in thermal diffusion
Session: Some simple problems to relate stress and strain and illustrate constitutive laws, such as enhanced localization with non-Newtonian viscosity, with channel flow as an example. Exercises illustrating channel flow: Couette flow: problems, non-Newtonian material, exponential viscosity
Session: Stokes equation, equation of continuity, and constitutive laws (both Newtonian, and non-Newtonian with underlying physics).
Session: Stokes flow and dynamic topography Stokes problem of a sinking sphere
Session: Stress and strain, and basic isostasy (statics).
Session: Temperature-dependent viscosity. Scaling for velocity and heat flux.
Session: Thermodynamics & chemistry.
Session: Turbulence, planform of convection, boundary layer and plumes at high Rayleigh number
Session: Turbulence, planform of convection, boundary layer and plumes at high Rayleigh number
Session: Two-layer mantle: convection regimes, thermal structure.
Session: Visit to Laboratory
Session: What are scaling laws, why are they important in geodynamics, and what problems in geophysics make them attractive.

Organizers

Directors: A. Aoudia, P. Molnar, G. Houseman, C. Jaupart, M. Manga