The capillary pressure model proposed empirically by Brooks and Corey has been used widely for several decades. However it is not clear why the Brooks-Corey capillary pressure model works so well. In this study, it has been found that the empirical Brooks-Corey capillary pressure model can be derived theoretically from fractal modeling of porous media. Also found was the correlation between the...

We have shown within quasistatic approximation that the giant fluctuations of a local electromagnetic field in random fractal aggregates of silver nanospheres are strongly correlated with a local anisotropy factor S which is defined in this paper. The latter is a purely geometrical parameter which characterizes the deviation of local environment of a given nanosphere in an aggregate from spheri...

We present an Expectation-Maximization algorithm for the fractal inverse problem: the problem of fitting a fractal model to data. In our setting the fractals are Iterated Function Systems (IFS), with similitudes as the family of transformations. The data is a point cloud in R with arbitrary dimension H. Each IFS defines a probability distribution on R , so that the fractal inverse problem can b...

The Shahr-e-Babak district, as the studied area, is known for its large Cu resources. It is located in the southern side of the Central Iranian volcano–sedimentary complex in SE Iran. Shahr-e-Babak is currently facing a shortage of resources, and therefore, mineral exploration in the deeper and peripheral spaces has become a high priority in this area. This work aims to identify the geochemical...

For fractal-like agglomerates with volume fractal dimensions Df ≤ 2 multiple scattering of incident light may be neglected to a good approximation. Therefore the Rayleigh-Debye-Gans (RDG) theory provides a reliable yet convenient route towards computing the differential and total scattering cross sections of fractal particles (Sorensen, 2001). So far, however, besides assuming spherical isotrop...

Approximation of natural objects (curves, surfaces, or images) with fractal models is an important center of interest for research. The general inverse problem paradigm concerns many application fields and a large variety of studies have been proposed to address it.The most known of them is the fractal image compression method introduced by Jacquin. Generally speaking, these techniques lack of ...

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...

In this paper we propose and study a subgrid model for linear convection-diiusion-reaction problems with fractal rough coeecients. The subgrid model is based on extrapolation of a modeling residual from coarser scales using a computed solution on a nest scale as reference. We show in experiments that a solution with subgrid model on a scale h in most cases corresponds to a solution without subg...

Nonlinear matrix inequalities (NLMIs) approach, which is known to be efficient for stability and L2-gain analysis, is extended to input-to-state stability (ISS).We first obtain sufficient conditions for ISS of systems with time-varying delays via Lyapunov–Krasovskii method. NLMIs are derived then for a class of systems with delayed state-feedback by using the S-procedure. If NLMIs are feasible ...

This paper presents a generalization of recent results of Açıkmeşe and Corless [B. Açıkmeşe, M. Corless, Stability analysiswith quadratic Lyapunov functions: Somenecessary and sufficientmultiplier conditions, Systems Control Letters 57 (2008) 78–94] concerning multiplier conditions of quadratic stability of uncertain/nonlinear systems. Abstract full block S-procedure results are formulated, ext...