Course Syllabus (for publication in bulletin):

REV, Mass, momentum and energy transport, Darcy and Non-Darcy equations, equilibrium and nonequilibrium conditions, species transport, radioactive decay, equivalent thermal conductivity, viscosity, dispersion, Flow over a flat plate, flow past a cylinder, boundary-layers, reservoir problems, Field scale and stochastic modeling, Turbulent flow, compressible flow, multiphase flow, numerical techniques, hierarchical porous media, nanoscale porous media, multiscale modeling, Groundwater, waste disposal, oil and gas recovery, regenerators, energy storage systems, Flow visualization, quantitative methods, inverse parameter estimation.

Course Contents (number of lectures in brackets):

I. Fundamentals:

• REV, Mass, momentum and energy transport, Darcy and Non-Darcy equations, equilibrium and non-equilibrium conditions, species transport, radioactive decay. [10]

II. Effective medium approximation:

• Equivalent thermal conductivity, viscosity, dispersion. [4]

III. Exact solutions:

• Flow over a flat plate, flow past a cylinder, boundary-layers, reservoir problems. [6]

IV. Special topics:

• Field scale and stochastic modeling, Turbulent flow, compressible flow, multiphase flow, numerical techniques, hierarchical porous media, nanoscale porous media, multiscale modeling. [10]

V. Engineering applications:

• Groundwater, waste disposal, oil and gas recovery, regenerators, energy storage systems. [8]

VI. Experimental techniques:

• Flow visualization, quantitative methods, inverse parameter estimation. [4]

References:

1. Principles of Heat Transfer in Porous Media, by M. Kaviany, Springer New York (1995).

2. Transport Phenomena in Porous Media, Volumes I-III, edited by D. R. Ingham and I. Pop, Elsevier, New York (1998-2005).

3. Dynamics of Fluids in Porous Media, J. Bear, Dover (1988).

4. Introduction to Modeling of Transport Phenomena in Porous Media, J. Bear and Y. Bachmat, Kluwer Academic Publishers, London (1990).

5. Enhanced Oil Recovery, L.W. Lake, Gulf Publishing Co. Texas (1989).

6. The Mathematics of Reservoir Simulation, R.E. Ewing, SIAM Philadelphia (1983).

7. Stochastic Methods for Flow in Porous Media: Coping with Uncertainties, Zhang, D., Academic Press, California (2002).

8. The Method of Volume Averaging, S. Whitaker, Springer, New York (1999).