Gabor Korvin | King Fahd University of Petroleum and Minerals (original) (raw)

Papers by Gabor Korvin

$Research paper thumbnail of Geofractology$

IEEE Geoscience and Remote Sensing Letters, 2005

This letter generalizes Pentland's result about the fractal dimension of the optical imag... more This letter generalizes Pentland's result about the fractal dimension of the optical image of rough natural surfaces, without imposing his requirement that the reflection is Lambertian. Instead, it is assumed that the reflectance coefficient is proportional to the focusing/defocusing due to local surface curvature. It will be proved for this case that the density distribution across the optical image inherits

$Research paper thumbnail of Wavelet and fractal methods in science and engineering. Part I$

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING

Acta Scientiarum Mathematicarum

$Research paper thumbnail of Geofractology. (Book Reviews: Fractal Models in the Earth Sciences.)$

We study the convergence of certain subseries of the harmonic series corresponding to increasing ... more We study the convergence of certain subseries of the harmonic series corresponding to increasing sequences of integers whose digits in a certain base are not uniformly distributed. We also discuss the case of irregular sequences, where the frequency distribution of some of the digits does not exist. Examples are given for irregular sequences where the corresponding harmonic subseries is convergent, or divergent, respectively.

I show that a trivial modification of a standard proof of the Roth's Theorem on triples in ar... more I show that a trivial modification of a standard proof of the Roth's Theorem on triples in arithmetic progression would lead to the following Theorem: If A is a "large set" that is its elements are monotone increasing integers and the sum of reciprocals of its elements diverges then the sequence contains an arithmetic progression of length three.

INTRODUCTION Lithology, porosity, permeability, pore fluids, and effective pressure are some of t... more INTRODUCTION Lithology, porosity, permeability, pore fluids, and effective pressure are some of the important criteria for reservoir characterization. These parameters significantly affect the seismic signature of a reservoir. Thus, establishing correlations between seismic properties on one hand, and lithology, porosity, permeability, and stress on the other, will increase the reliability of reservoir property predictions from seismic measurements. Another advantage of seismic attributes is that they are much easier to measure in-situ than the above mentioned reservoir properties, and since such measurements are noninvasive, an observed correlation between them could also prove useful as an important exploration tool for oil and gas reservoirs. In recent years, with the improvement in borehole sonic sources and receivers, full waveforms are being recorded and processed at the rig site itself. Enough expertise is gained to accurately compute the attenuation quality factors from the ...

Arabian Journal of Geosciences, 2015

The study investigates the relationships between lithofacies and geomechanical properties of Arab... more The study investigates the relationships between lithofacies and geomechanical properties of Arab-D Member and Upper Jubaila Formation outcrops in central Saudi Arabia. This outcrop studied is stratigraphically equivalent to the Arab-D reservoir in the subsurface. The methods used consisted of integrated field sedimentological analyses and laboratory tests. These tests included analysis of petrographical thin sections, Schmidt Hammer, Point Load Index tensile strength tests, and ultrasonic wave velocity measurements. Several lithofacies types were revealed within Upper Jubaila Formation and the Arab-D Member which is deposited in the upper to lower slope to ramp crest and shallow lagoon paleoenvironments, respectively. Generally, the lithofacies showed moderate correlation between geomechanical properties, porosity and permeability. Consequently, three geomechanical units were recognized within the Arab-D and Jubaila Formation based on change and shift of geomechanical properties across the boundaries. The upper unit corresponds to the upper part of the Arab-D Member; the middle unit corresponds to the lower part of the Arab-D Member and the upper part (5 m) of Upper Jubaila Formation, while the lower unit corresponds to the lower part of Upper Jubaila Formation. These geomechanical units reflect the joint effects of lithofacies and stratigraphy, while the moderate correlation among parameters might be attributed to superimposed post-depositional weathering and diagenetic processes.

Inequalities involving the Euler zeta function are proved. Applications of the inequalities in es... more Inequalities involving the Euler zeta function are proved. Applications of the inequalities in estimating the zeta function at odd integer values in terms of the known zeta function at even integer values are discussed.

Proceedings of SPE Middle East Oil and Gas Show and Conference, 2007

Abstract Permeability is one of the most difficult properties to predict, especially in carbonate... more Abstract Permeability is one of the most difficult properties to predict, especially in carbonate reservoirs. The most reliable data of permeability, obtained from laboratory measurements on cores, do not provide a continuous profile along the depth of the formation.

We present a conjecture about the asymptotic representation of certain series. The conjecture imp... more We present a conjecture about the asymptotic representation of certain series. The conjecture implies the Riemann hypothesis and it would also indicate the simplicity of the non-trivial zeros of the zeta-function.

Kybernetes, 2002

Pervasive complementarity among agents, variables and their relations is a strong manifestation o... more Pervasive complementarity among agents, variables and their relations is a strong manifestation of unity in the real world. It is explained in various ways within scientific systems and in alternative ways of viewing resource allocation from that in neoclassical economic theory and its various prototypes. Complementarity among goods, services and factors in neoclassical resource allocation is simply a localized phenomenon. Despite this, bundles of similar goods collect together to re-establish marginal substitution with other bundles. In systems science, the cessation of complementarity among variables causes the demise of process. Indeed, the most significant influence of economic complementarity is to be found in decision-making systems. Here strongly interactive ethical principles showing pervasive and strong complementarity reveal themselves. Hence a knowledge-induced scientific methodology emerges. Yet these scientific dynamic methods that are merely premised on time-phase, are found to be inadequate in explaining pervasive interactions. Instead, simulation methods reveal important and interesting results premised on the epistemological premise of systemic unity and interactions. We will examine these questions in this paper with respect to the optimal control problem of the calculus of variations, and for multi-objective decision problems.

International Journal of Sustainability in Higher Education, 2001

... induced dynamics as the epistemology of a generalized systems methodology, then structure mus... more ... induced dynamics as the epistemology of a generalized systems methodology, then structure must be ... The following quotes claim on the other hand, that scientific, technological and social ... Berggren writes (1992, p. 315): “ … an important segment of Islamic thinkers al-Ghazzali ...

Humanomics, 2002

ABSTRACT The lecture attacks a fifty-year-old paradigm which claims that “information” (as the te... more ABSTRACT The lecture attacks a fifty-year-old paradigm which claims that “information” (as the term is understood by Communication Engineers) cannot have any moral or economic value. We shall show by a Monte Carlo simulated oil-exploration study how this paradox disappears in the Islamic Interactive, Integrative and Evolutionary (IIE) world model. In the IIE exploration model, information is used to lead to more profit, and (part of) the profit is utilised to gain information.

Arabian Journal for …, 2002

Arabian Journal of Geosciences, 2014

A simple rock model is presented which reproduces the measured hydraulic and electric transport p... more A simple rock model is presented which reproduces the measured hydraulic and electric transport properties of sedimentary rocks and connects these properties with each other, as well as with the acoustic propagation velocities and elastic moduli. The model has four geometric parameters (average coordination number Z of the pores, average pore radius r, average distance between nearest pores d, and average throat radius δ) which can be directly determined from the measured porosity Φ, hydraulic permeability k, and cementation exponent m of the rock via simple analytic expressions. Inversion examples are presented for published sandstone data, and for cores taken from Saudi Arabian, Upper Jurassic and Permian carbonate reservoirs. For sandstone, the inversion works perfectly; for carbonates, the derived rock model shows order-of-magnitude agreement with the structure seen in thin sections. Inverting the equations, we express the transfer properties Φ, k, and m as functions of r, d, δ, and Z. Formulae are derived for the bulk density D b , formation factor F, and P-wave velocity in terms of the proposed geometrical parameters.

Fractal analysis has become part of the standard approach for quantifying texture on gray-tone or... more Fractal analysis has become part of the standard approach for quantifying texture on gray-tone or colored images. In this research we introduce a multi-stage fractal procedure to segment, classify and measure the clustering patterns on seismic time slices from a 3-D seismic survey. Five fractal classifiers (c1)-(c5) were designed to yield standardized, unbiased and precise measures of the clustering of seismic signals. The classifiers were tested on seismic time slices from the AKAL field, Cantarell Oil Complex, Mexico. The generalized lacunarity (c1), fractal signature (c2), heterogeneity (c3), rugosity of boundaries (c4) and continuity resp. tortuosity (c5) of the clusters are shown to be efficient measures of the time-space variability of seismic signals. The Local Fractal Analysis (LFA) of time slices has proved to be a powerful edge detection filter to detect and enhance linear features, like faults or buried meandering rivers. The local fractal dimensions of the time slices we...