Application Of Mathematical Methods For Condition Monitoring Of Oil And Gas Facilities
Journal Title: Journal of Applied Computer Science & Mathematics - Year 2016, Vol 10, Issue 21
Abstract
irections for numerical realization of two-dimensional models in different frames account for environmental heterogeneity of matter distribution have been presented. The schemes allow to measure concentration of substances in real objects through building of functions, modeling various boundary conditions. A software complex for their implementation has been devised and the test findings as well as their analysis have been presented. To model processes which parameters depend on three spatial coordinates, we have suggested numerical schemes for implementing three-dimensional models that are absolutely stable and have the second order of accuracy at all spatial coordinates. Contaminated areas of anthropogenic origin, particularly surface and underground waters as well as soils have been analyzed. The mathematical models of diffusion processes, based on the use of two- and three-dimensional diffusion equations with a wide range of boundary and initial conditions, have been suggested. It is determined that exact solutions prohibit studying of the peculiarities of their behavior depending on the type of boundary conditions, therefore we suggest using numerical solutions.
Authors and Affiliations
MANDRYK 1 O. M. , OLIJNYK A. P. , MOROZ A. A.
Keywords
Related Articles
- EP ID EP444167
- DOI 10.4316/JACSM.201601007
- Views 375
- Downloads 0
Study of Complexities in Bouncing Ball Dynamical System
Evolutionary motions in a bouncing ball system consisting of a ball having a free fall in the Earth’s gravitational field have been studied systematically. Because of nonlinear form of the equations of motion, evolutions...
Application of Stand-PSO Technique for Optimization Cameras’ 2D Dispositions in a MoCap system
In this paper, a detailed study of the Particle Swarm Optimization (PSO) technique is given in its standard version to solve a network camera placement problem and to ensure the coverage of a reflector point by, at least...
Secure and Efficient Diffusion Layers for Block Ciphers
Abstract–Modern block ciphers are designed to meet confusion and diffusion criteria. Substitution and permutation layers are used in the round function for this purpose. In this paper, we present a number of choices for...
Kalman Filters for Estimating the potential GDP
The estimation of the potential GDP has a twofold importance: on one hand its accurate estimation allows the correct dimensioning of the macroeconomic policies and on the other hand, the study of potential GDP is a resea...
Complexities in a Plant-Herbivore Model
A simple host-parasite type model has been considered to study the interaction of certain plants and herbivores. The two dimensional discrete time model utilizes leaf and herbivore biomass as state variables. The paramet...