S U M M A R Y The delta-correlated assumption of the random medium is of considerable significance in statistical wave propagation problems. Assuming the Rytov and parabolic approximations, this work completed an exact derivation of the transverse coherence functions without using the delta-correlated approximation. The error introduced by this approximation is shown to be negligible when the s...

It is established that solute transport in homogenous porous media follows a classical ’S’ shape breakthrough curve that can easily be modelled by a convection dispersion equation. In this study, we designed a Model Heterogeneous Porous Medium (MHPM) with a high degree of heterogeneity, in which the breakthrough curve does not follow the classical ’S’ shape. The contrast in porosity is obtained...

The paper concerns the analysis of the correlations of wave fields propagating in heterogeneous media. We show that selected field-field correlations asymptotically propagate in non-scattering media, i.e., propagate as if the underlying medium was homogeneous. Such correlations are therefore good candidates for imaging strategies in heterogeneous media based on back-propagations in a homogeneou...

The occurrence of SH wave propagation under the effect of a point source in an orthotropic substratum lying over a heterogeneous orthotropic half space is deliberated in the prospect of a devastating earthquake. The quadratic alteration is acknowledged for density and shear modulus which is hypothesized to be a function of depth. The method of Green's function and transformation technique contr...

Almost all interstellar objects contain inherent inhomogeneity. The inhomogeneity can manifest in many different ways, such as the uneven matter distribution in a molecular cloud, or the tangled magnetic field distribution in a Bok globule. The dynamics of interstellar objects is thus often governed by the interaction between astrophysical flows or shocks such as supernova blast waves with inho...

It is a very well known fact that the effective properties of a heterogeneous electrical medium may contain a non-local term. The same phenomenon can occur within a heterogeneous thermally conducting medium. We are interested in the set of all non-local interactions which may arise from the homogenization of a thermoelectric medium where there are couplings between the temperature and the elect...

Full duplex (FD) wireless communication has an enormous prospect in near future. To leverage the FD benefit successfully, efficient medium access control (MAC) protocols are very crucial along with physical layer performance. Although a number of FD-MAC protocols were proposed earlier, most of them are not for wireless local area networks (WLANs). On the other hand, as still there are a lot of ...

Introduction: In the context of diffusion in tissues, one can think of the two broad classes of restrictions to molecular motion: (i) surface restrictions (membranes), and (ii) diffusivity heterogeneity in the bulk of the tissue. The latter class encompasses variation of diffusion properties on a finite length scale, such as diffusivity contrast between cells, or between the intraand extracellu...

An effective medium theory that can be used to calculate effective diffusion and reaction rate coefficients in random heterogeneous reaction-diffusion systems is described. The predictions of the theory are compared with simulations of spatially distributed media with different types of heterogeneity. The magnitude of the front velocity in bistable media is used to gauge the accuracy of the the...

Evaporation of saline solutions from a porous medium often leads to the precipitation of salt at the surface of the porous medium. It is commonly observed that the crystallized salt does not form everywhere at the porous medium surface but only at some specific locations. To explain this phenomenon, we consider efflorescence formation at the surface of a saturated heterogeneous porous column (f...