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The heterogeneous medium was characterized by a = 800 m and ε = 8%%.
The electric field E in each uniform domain of the heterogeneous medium was assumed to be a solution of the vector Helmholtz equation (VHE): Delta ,mathbf{E}+ k^{2}, mathbf{E}=0, (1).
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As an illustrative example, natural longitudinal vibrations of a layered heterogeneous medium are considered.
First, the case of a purely anelastic (Kelvin Voigt) heterogeneous medium is treated.
In the realization procedure different phases of the heterogeneous medium are represented by different cells, which are allowed to grow.
The physical properties, porosities, permeabilities, capillary pressures, and end-point saturations of the blocks composing the heterogeneous medium were measured independently on isolated samples.
Unraveling the linkage between microbial dynamics and water infiltration in a heterogeneous medium is of concern in artificial recharge ponds and natural infiltration systems.
By using effective properties derived from homogenization techniques, a heterogeneous medium is transformed into a homogenous one, and the number of the degrees of freedom (DOF) can therefore be significantly reduced.
Different distributions with a variance ranging from a very small value, representative of a homogeneous medium, to a very large value, representative of a highly disordered, heterogeneous medium, were studied.
Upper and lower bounds for an effective diffusivity characteristic of binary diffusion through a heterogeneous medium are calculated by imposing geometric and transport constraints on the pore size distribution.
However, no model for a heterogeneous medium is suggested that can be used for path loss simulation.
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