HR: 1330h
AN: H22C-0946 [PDF]
TI: Pressure and Chemical Potential: Effects Hydrophilic Soils Have on Adsorption and Transport
AU: * Bennethum, L S
EM: Lynn.Bennethum@cudenver.edu
AF: University of Colorado at Denver
Department of Mathematics, 1250 14th St., Suite 600
Campus Box 170, P.O. Box 173364, Denver, CO 80217-3364 United States
AU: Weinstein, T
EM: tweinste@math.cudenver.edu
AF: University of Colorado at Denver
Department of Mathematics, 1250 14th St., Suite 600
Campus Box 170, P.O. Box 173364, Denver, CO 80217-3364 United States
AB:
Using the assumption that thermodynamic properties of
fluid is affected by its proximity to the solid phase,
a theoretical model has been developed based on upscaling
and fundamental thermodynamic principles (termed Hybrid Mixture Theory). The theory indicates that Darcy's law
and the Darcy-scale chemical potential (which determines
the rate of adsorption and diffusion) need to be modified
in order to apply to soils containing hydrophilic soils.
In this talk we examine the Darcy-scale definition of
pressure and chemical potential, especially as it applies
to hydrophilic soils.
To arrive at our model, we used hybrid mixture theory -
first pioneered by Hassanizadeh and Gray in 1979. The technique involves averaging the field equations (i.e.\ conservation
of mass, momentum balance, energy
balance, etc.) to obtain macroscopic field equations,
where each field variable is defined precisely in terms of
its microscale counterpart. To close the system
consistently with classical thermodynamics, the entropy inequality is exploited in the sense of Coleman and Noll. With the
exceptions that the macroscale field variables are
defined precisely in terms of their microscale
counterparts and that microscopic interfacial equations
can also be treated in a similar manner, the resulting
system of equations is consistent with those derived using classical mixture theory. Hence the terminology, Hybrid
Mixture Theory.
DE: 1829 Groundwater hydrology
DE: 1832 Groundwater transport
DE: 3210 Modeling
SC: Hydrology [H]
MN: 2003 Fall Meeting