Scale Dependence of the Effective Matrix Diffusion Coefficient: Some Analytical Results

Scale Dependency of the Effective Matrix Diffusion Coefficient

It has been recognized that matrix diffusion is an important process for retarding solute transport in fractured rock. Based on analyses of tracer transport data from a number of field tests, we demonstrate that the effective matrix-diffusion coefficient may be scaledependent and generally increases with test scale. A preliminary theoretical explanation of this scale dependency is also presente...

Scale Dependence of the Effective Matrix Diffusion Coefficient: Evidence and Preliminary Interpretation

Some Results on the Field of Values of Matrix Polynomials

In this paper, the notions of pseudofield of values and joint pseudofield of values of matrix polynomials are introduced and some of their algebraic and geometrical properties are studied.  Moreover, the relationship between the pseudofield of values of a matrix polynomial and the pseudofield of values of its companion linearization is stated, and then some properties of the augmented field of ...

Vapor contribution to the time dependence of the effective diffusion coefficient in partially filled porous glasses

NMR microscopy of silica glasses with micrometer pores (Vitrapor#5) partially filled with water reveal heterogeneous distributions of the liquid on a length scale much longer than the pore dimension. This heterogeneity, which is not observed in MRI of saturated samples, is attributed to the spatial variation of the granular microstructure. As a consequence of the inhomogeneous filling degree, t...

The Energy Dependence of the Photoelectric Attenuation Coefficient of Substances

Introduction: The photoelectric attenuation coefficient of substances is known to depend upon the energy E of the photon and the effective atomic number of substances (Zeff) as (Zeffx/Ey).  No definitive values about these indices x, y are given in the literature. The index x is said to lie between, 3.0 and 4.0, while for ‘y’ different values have been assigned, between 3.0 and 4.0. Method...