Dispersion effects modeling while forecasting physical-geological parameters of heterogeneous media

A problem of forecasting the parameters of physical-chemical model for heterogeneous media based on available standard data selection considered as a field of corresponding param­eters dispersion is being considered. Dispersion of parameters is considered as an observed component of medium heterogen...

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Date:2014
Main Author: Kobrunov, A.I.
Format: Article
Language:Russian
Published: S. Subbotin Institute of Geophysics of the NAS of Ukraine 2014
Online Access:https://journals.uran.ua/geofizicheskiy/article/view/111570
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Journal Title:Geofizicheskiy Zhurnal

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Geofizicheskiy Zhurnal
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author Kobrunov, A.I.
author_facet Kobrunov, A.I.
author_sort Kobrunov, A.I.
baseUrl_str
collection OJS
datestamp_date 2020-10-07T11:55:34Z
description A problem of forecasting the parameters of physical-chemical model for heterogeneous media based on available standard data selection considered as a field of corresponding param­eters dispersion is being considered. Dispersion of parameters is considered as an observed component of medium heterogeneity effects manifestation, which is simulated by a function of concentration based on diffusion equations. Diffusion operator is being designed based on fundamental solutions of diffusion equations, which made possible to obtain prognostic field of dispersion for sought-for parameter. A problem of reconstruction of heterogeneities density concentration in distribution of expected parameter as a solution of integral equation of the first kind is formulated. On the basis of Mamdani rule of logical conclusion chain rules of calculation for resultant dispersion field for prediction of heterogeneities of final parameters have been designed. An example of modeling the dispersion field for presence of oil by one of conditional oil deposits is presented, which demonstrates validity of new notions introduced.
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publisher S. Subbotin Institute of Geophysics of the NAS of Ukraine
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spelling journalsuranua-geofizicheskiy-article-1115702020-10-07T11:55:34Z Dispersion effects modeling while forecasting physical-geological parameters of heterogeneous media Kobrunov, A.I. A problem of forecasting the parameters of physical-chemical model for heterogeneous media based on available standard data selection considered as a field of corresponding param­eters dispersion is being considered. Dispersion of parameters is considered as an observed component of medium heterogeneity effects manifestation, which is simulated by a function of concentration based on diffusion equations. Diffusion operator is being designed based on fundamental solutions of diffusion equations, which made possible to obtain prognostic field of dispersion for sought-for parameter. A problem of reconstruction of heterogeneities density concentration in distribution of expected parameter as a solution of integral equation of the first kind is formulated. On the basis of Mamdani rule of logical conclusion chain rules of calculation for resultant dispersion field for prediction of heterogeneities of final parameters have been designed. An example of modeling the dispersion field for presence of oil by one of conditional oil deposits is presented, which demonstrates validity of new notions introduced. S. Subbotin Institute of Geophysics of the NAS of Ukraine 2014-10-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/111570 10.24028/gzh.0203-3100.v36i5.2014.111570 Geofizicheskiy Zhurnal; Vol. 36 No. 5 (2014); 81-90 Геофизический журнал; Том 36 № 5 (2014); 81-90 Геофізичний журнал; Том 36 № 5 (2014); 81-90 2524-1052 0203-3100 ru https://journals.uran.ua/geofizicheskiy/article/view/111570/106559 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0
spellingShingle Kobrunov, A.I.
Dispersion effects modeling while forecasting physical-geological parameters of heterogeneous media
title Dispersion effects modeling while forecasting physical-geological parameters of heterogeneous media
title_full Dispersion effects modeling while forecasting physical-geological parameters of heterogeneous media
title_fullStr Dispersion effects modeling while forecasting physical-geological parameters of heterogeneous media
title_full_unstemmed Dispersion effects modeling while forecasting physical-geological parameters of heterogeneous media
title_short Dispersion effects modeling while forecasting physical-geological parameters of heterogeneous media
title_sort dispersion effects modeling while forecasting physical-geological parameters of heterogeneous media
url https://journals.uran.ua/geofizicheskiy/article/view/111570
work_keys_str_mv AT kobrunovai dispersioneffectsmodelingwhileforecastingphysicalgeologicalparametersofheterogeneousmedia