Preasymptotic hydrodynamic dispersion as a quantitative probe of permeability.
We interpret a generalized short-time expansion of stochastic hydrodynamic dispersion dynamics in the case of small Reynolds number flow through macroscopically homogenous permeable porous media to directly determine hydrodynamic permeability. The approach allows determination of hydrodynamic permeability from pulsed field gradient spin-echo nuclear magnetic resonance measurement of the short-time effective hydrodynamic dispersion coefficient. The analytical expansion of asymptotic dynamics agrees with experimental NMR data and lattice Boltzmann simulation of hydrodynamic dispersion in consolidated random sphere pack media.
US Army Engineer Research and Development Center, Vicksburg, Mississippi 39180-6199, USA. tyler.brosten@usace.army.mil
Tyler R
TR
Brosten
Sarah J
SJ
Vogt
Joseph D
JD
Seymour
Sarah L
SL
Codd
Robert S
RS
Maier
D001703:Biophysics / Q000379:methods*; D004058:Diffusion; D004563:Electrochemistry / Q000379:methods; D057446:Hydrodynamics; D016014:Linear Models; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D015233:Models, Statistical; D010539:Permeability; D016062:Porosity; D013269:Stochastic Processes; D013997:Time Factors; D014783:Viscosity