We present a stochastic analysis of immiscible two-phase flow ~Buckley–Leverett displacement! in heterogeneous reservoirs. Since the detailed spatial variabilities of reservoir properties such as permeability and porosity cannot be described deterministically, both permeability and porosity, or either, are treated as random space functions. In turn, water saturation and oil production rate are ...

In this work, benzyl alcohol was obtained in 96% excellent yield by hydrolysis of benzyl chloride catalyzedby the recyclable temperature-dependant phase-separation system that comprised the ionic liquid PEG1000-DAIL[BF4], toluene and ferric sulfate under homogeneous catalysis in aqueous media. This novel methodnot only enhanced the yield, but also made the operating units easy workup. The catal...

Computational simulations of two-phase flow in porous media are used to investigate the feasibility of replacing a porous medium containing heterogeneities with an equivalent homogeneous medium. Simulations are performed for the case of infiltration of a dense nonaqueous phase liquid (DNAPL) in a water-saturated, heterogeneous porous medium. For two specific porous media, with periodic and rath...

In the present paper, effect of initial stresses on the propagation of Love waves has been investigated in a fluid saturated, anisotropic, porous layer lying in welded contact over a prestressed, non-homogeneous elastic half space. The dispersion equation of phase velocity has been derived. It has been found that the phase velocity of Love waves is considerably influenced by porosity and anisot...

The previous Chapters have been concerned with the propagation of waves in empty space or in uniform, homogeneous media. It is now time to introduce more complicated geometries, building towards those appropriate to optical waveguides. We begin with a qualitative discussion of the phenomena that occur when light strikes a dielectric interface. Figure 5.1-1 shows a plane wave incident at an angl...

It is shown that two homogeneous elastic media of different rigidities adhering at a plane interface will become unstable at the surface of discontinuity when a certain critical magnitude of initial stress is attained. The general characteristic equation for the interfacial instability is derived for a general case of elastic anisotropy. The critical stress is evaluated as a function of the rig...

The resolution of optical coherence tomography (OCT) often suffers from blurring caused by material dispersion. We present a numerical algorithm for computationally correcting the effect of material dispersion on OCT reflectance data for homogeneous and stratified media. This is experimentally demonstrated by correcting the image of a polydimethyl siloxane microfludic structure and of glass sli...

Signals that can penetrate certain objects have multiple uses. Under rather general assumptions, and in a relatively simple and straightforward manner, it is shown that the characteristics of signals which travel through homogeneous, as well as inhomogeneous, passive media have the principal features usually associated with the phenomena of precursors, as generally follows from more elaborate s...

During recent decades, a great variety of novel and complex materials have been designed with promising practical applications. It has been found, however, that in many cases the relations between electric and magnetic fields cannot be described by standard constitutive equations. Among these new materials we may mention, for example, chiral, nonreciprocal, gyrotropic and negative refractive in...