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.
IT&C used by Individuals and Economic Development in Romania - Application of Cointegration and Vector Error Correction Model
Since the first decade of the 21st century, information and communication technology has become both a tool for the individual and, in many cases, a way of life. Undoubtedly, the Internet has revolutionized the society i...
Reduced Differential Transform Method for Exact Solution of Parabolic and Hyperbolic Partial Differential Equations
Aim of the paper is to obtain solution of parabolic, elliptical and coupled partial differential equation using Reduced Differential Transform Method (RDTM). The results are compared with solution obtained by other metho...
Developing a Mathematical Model to Estimate the Intensity of the Global Radiation
–This research aimed to create an empirical mathematical model to estimate the average monthly of total daily radiation of the global radiation in the middle of northeast Thailand. The model showed the ratio of the month...
Application Of Mathematical Methods For Condition Monitoring Of Oil And Gas Facilities
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 substanc...
APφ(R, C)-Spaces of Almost Periodic Functions
The spaces APφ(R, C), corresponding to functions φ ∈ K = Kamke class, have been defined and a few of their properties have been investigated in our recent paper [1]. The aim of this paper is to present some facts/propert...