Fuzzification of the miscible displacement model in heterogeneous porous media

Almeida, Cesar Guilherme de; Bertone, Ana Maria Amarillo; Jafelice, Rosana Sueli da Motta

doi:10.1016/j.jmaa.2018.03.015

Cited by 4 publications

(3 citation statements)

References 41 publications

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“…Com base no princípio de extensão de Zadeh bidimensional (Teorema 2.1)é desenvolvido um algoritmo utilizando o software Matlab baseado no trabalho de Almeida et al [1]. Neste trabalho constrói-se uma fuzzificação de uma solução numérica para um modelo de equações diferenciais parciais através do princípio de extensão de Zadeh unidimensional.…”

Section: Fuzzificação Da Solução Numérica Do Modelo Da Dinâmica Do Hiunclassified

Dinâmica do HIV com Retardo sob Tratamento Antirretroviral com Dois Parâmetros Fuzzy

Alfaro¹,

Jafelice²,

Bertone³

2020

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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Resumo. A partir de um modelo matemático que simula a ação do Vírus de Imunodeficiência Humana (HIV) na corrente sanguínea sob tratamento antirretroviral em indivíduos soropositivos com retardo, uma análise qualitativa dos parâmetrosé desenvolvida por meio da teoria dos conjuntos fuzzy. O retardo e a taxa de mortalidade do vírus são considerados como números fuzzy com a finalidade de incluir de forma mais precisa a incerteza encontrada nesses parâmetros. A metodologia inclui a construção de um algoritmo baseado em informações provenientes de um autômato celular e a obtenção de uma aproximação numérica da solução do sistema que simula a dinâmica do HIV, seguido da fuzzificação através do princípio de extensão de Zadeh bidimensional.

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Section: Fuzzificação Da Solução Numérica Do Modelo Da Dinâmica Do Hiunclassified

Dinâmica do HIV com Retardo sob Tratamento Antirretroviral com Dois Parâmetros Fuzzy

Alfaro¹,

Jafelice²,

Bertone³

2020

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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“…Therewith, the key aspect of this process is the practical application of submersible centrifugal pumps as standard equipment for ensuring the proper intensity of oil production. It is mandatory to maintain the proper level of oil production in the well to avoid its premature draining when pumping oil products from the well with various natural mixtures that can adversely aff ect the operation of the unit as a whole [11]. The cost of repairing equipment in case of its possible breakdown is extremely high and comparable to the cost of new units, therefore, issues of ensuring the safety of equipment for pumping oil should be given priority at any stage of planning this process.…”

Section: Introductionmentioning

confidence: 99%

Application of mathematical modelling methods in oil production management

Orazbayev¹,

Issa²,

Iskakova³

et al. 2022

Nauk. visn. nat. hirn. univ.

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Purpose. To assess the effectiveness of the practical application of mathematical modelling methods of the operation principles of oil production management systems in a fuzzy environment and the main aspects of their application in oil production. Methodology. The basis of the methodological approach in this study is a combination of methods of quantitative and qualitative analysis of the basic principles of the development of mathematical models for managing oil production processes in a fuzzy environment. Findings. The authors investigated the available methods of mathematical modeling in order to select the optimal possibilities for creating mathematical models. A qualitative assessment of the effectiveness of the practical application of methods of mathematical modeling of the principles of operation of oil production management systems in a fuzzy environment was formulated. The main aspects of application of methods of mathematical modeling directly in the process of oil production were established. Originality. A fuzzy approach is proposed for solving the problem of multi-criteria optimization in the development of a field and oil production, in which the task is set and solved in a fuzzy environment without previously converting them to equivalent clear tasks. This ensures the correctness and efficiency of the solution by increasing the adequacy of the description of the problem in a fuzzy environment. Practical value. The results obtained and the conclusions formulated on their basis are of considerable practical importance for employees of research institutes of the oil industry responsible for the development of effective methods of mathematical modelling of oil production process control systems and for employees of oil companies whose professional duties include the introduction of the mentioned mathematical models in oil fields.

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“…Alguns trabalhos relacionados com as técnicas utilizadas neste estudo, envolvendo as equações diferenciais com parâmetros fuzzy e que aplicam a extensão de Zadeh, são: Oberguggenberger e Pittschmann [32], Jafelice R. S. M. [19], Vega C. N. [42], Bertone et al [7], Almeida et al [3], Barros L. C. et al [5] e outros.…”

Section: Referências Bibliográficasunclassified

Aplicações da extensão de Zadeh na dinâmica do HIV com retardo fuzzy sob tratamento antirretroviral

Alfaro¹

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Mathematical models as applied to biological phenomena are usually involved with uncertainties. One way of determining solutions of such mathematical models, including their uncertainties, is by applying the Zadeh's extension principle, which is part of the fuzzy set theory. In this context, the general objective of this research is to present applications of the one-dimensional and two-dimensional Zadeh's extension principle on two mathematical models that simulate the dynamics of HIV antiretroviral treatment, with delay, in seropositive individuals. These applications are presented through fuzzy solutions of the proposed models of HIV dynamics, in which the delay and death rate of the virus are considered as fuzzy numbers. In the first model, the delay and the mortality rate of the virus are considered as fuzzy numbers correlated through an injective and monotonous function which facilitates the attainment of a fuzzy solution of the presented model, since it turns the two-dimensional Zadeh's extension principle into an one-dimensional type. The function that correlates the fuzzy parameters is estimated by two different methods, the first is Mamdani inference method and the second is Takagi-Sugeno inference method, which motivated a comparative study of the solutions in terms of the absolute error. In the other model, a numerical fuzzy solution is obtained through an algorithm developed in this work, considering in the model as triangular fuzzy numbers, the delay and the mortality rate of the virus that do not use a function that correlates them.

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Fuzzification of the miscible displacement model in heterogeneous porous media

Cited by 4 publications

References 41 publications

Dinâmica do HIV com Retardo sob Tratamento Antirretroviral com Dois Parâmetros Fuzzy

Dinâmica do HIV com Retardo sob Tratamento Antirretroviral com Dois Parâmetros Fuzzy

Application of mathematical modelling methods in oil production management

Aplicações da extensão de Zadeh na dinâmica do HIV com retardo fuzzy sob tratamento antirretroviral

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