This paper is an at tempt to model well decline in a vapor dominated reservoir with fractal geometry. The fractal network of fractures is treated as a continuum with characteristic anomalous diffusion of pressure. A numerical solver is used t o obtain the solution of the partial differential equation including adsorption in the fractal storage space. The decline of the reservoir is found t o ob...

Fractals are geometric shapes and patterns that can describe the roughness (or irregularity) present in almost every object nature. Many fractals may repeat their geometry at smaller or larger scales. This paper is second (and last) part of a series two papers dedicated to an eclectic survey describing infinite complexity amazing beauty from historical, theoretical, mathematical, aesthetical te...

The dynamics of air ow during speech production may often result into some small or large degree of turbulence. In this paper, we quantify the geometry of speech turbulence as re ected in the fragmentation of the time signal by using fractal models. We describe an e cient algorithm for estimating the short-time fractal dimension of speech signals based on multiscale morphological ltering and di...

Three aspects of texture are considered by the fractal geometry: Fractal Dimension (FD), Lacunarity and Succolarity. Fractal Dimension has been well studied; a great number of approaches have been presented to extract it from images. It can be computed from black-white to multi-band image. There are many approaches also, from the simple Box-Dimension to the most complex Hausdorff Dimension. The...

Antennas based on fractal structures present some particular properties as selfsimilarity and miniaturization that overcome some of the main limitations of classical antennas. Defining and meshing the fractal geometry are the two first stages in the numerical analysis of their electromagnetic behavior. Fractal structures are highly convoluted with very small details, nevertheless, some of these...

The objective of this research is to model the mammographic parenchymal, ductal patterns and enhance microcalcifications using a fractal approach. According to the theory of deterministic fractal geometry, images can be modeled by deterministic fractal objects which are attractors of sets of two dimensional afflne transformations. In this paper, a methodology based on fractal image modeling is ...

We have pursued in the literature a fractal-like structure for the fractional quantum Halll effect-FQHE which consider the Hausdorff dimension associated with the quantum mechanics paths and the spin of the particles or quasiparticles termed fractons. These objects carry rational or irrational values of spin and satisfy a fractal distribution function associated with a fractal von Neumann entro...

The crowding of wireless band has necessitated the development of multiband and wideband wireless antennas. Because of the self similar characteristics, fractal concepts have emerged as a design methodology for compact multiband antennas. A Koch-like fractal curve is proposed to transform ultra-wideband (UWB) bow-tie into so called Koch-like sided fractal bow-tie dipole. A small isosceles trian...

We show that a metallic plate with periodic fractal-shaped slits can be homogenized as a plasmonic metamaterial with plasmon frequency dictated by the fractal geometry. Owing to the all-dimensional subwavelength nature of the fractal pattern, our system supports both transverse-electric and transverse-magnetic surface plasmons. As a result, this structure can be employed to focus light sources ...

Abstract A new design of Microsrtip patch fractal antenna for 2.5 GHz is proposed which possess an excellent size reduction possibility with good radiation performance for wireless applications like Wireless Local Area Network (WLAN). The design and simulation results of microstrip patch fractal antenna using Ansoft HFSS is presented which has S11 < -10 dB (VSWR<2). The antenna is designed base...