Numerical simulation of inverse geochemistry problems by regularizing algorithms

Temirbekov, Nurlan; Imangaliyev, Yernar; Baigereyev, Dossan; Temirbekova, Laura; Nurmangaliyeva, Maya B.

doi:10.1080/23311916.2021.2003522

Cited by 5 publications

(3 citation statements)

References 10 publications

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“…There are many methods of global minimization, each of which has its advantages and limitations. Some of the most common methods include evolutionary algorithms, genetic algorithms, particle swarm methods, annealing simulation optimization methods, and more [32][33][34][35]. And when the objective function is nonlinear and undifferentiable, direct search methods are preferred.…”

Section: The Methods Of Differential Evolutionmentioning

confidence: 99%

Solution of the Optimization Problem of Magnetotelluric Sounding in Quaternions by the Differential Evolution Method

Kasenov,

Demeubayeva,

Temirbekov

et al. 2024

Computation

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The article discusses the application of quaternion Fourier transforms and quaternion algebra to transform Maxwell’s equations. This makes it possible to present the problem of magnetotelluric sensing (MTS) in a more convenient form for research. Studies of the inverse MTS problem for multi-layer regions are presented using the differential evolution method, which demonstrates high convergence. For single-layer regions, a new method for solving inverse problems based on minimizing the quadratic functional using conjugate optimization methods is considered. Numerical results obtained using special Python libraries are presented, with analysis and conclusions.

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Section: The Methods Of Differential Evolutionmentioning

confidence: 99%

Solution of the Optimization Problem of Magnetotelluric Sounding in Quaternions by the Differential Evolution Method

Kasenov,

Demeubayeva,

Temirbekov

et al. 2024

Computation

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“…Also, based on the data obtained using remote sensing, another inverse problem related to magnetotelluric sounding (MTS) is considered [17], [18]. The general approach to the inverse problems of MTS is to reconstruct the physical characteristics of the earth's crust based on data on physical fields measured on the Earth's surface.…”

Section: Introductionmentioning

confidence: 99%

“…Usually, to cope with such difficulties, reformulation of the tasks is used. These inverse problems in the field of magnetotelluric sensing, as a rule, are nonlinear and have several possible solutions [17], [18]. To solve them, geophysicists often use regularization methods, including linearized approaches [19]- [27].…”

Section: Introductionmentioning

confidence: 99%

Empowering geological data analysis with specialized software GIS modules

Baigereyev,

Kasenov,

Temirbekova

2024

IJEECS

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This research is devoted to the development of a geographic information system (GIS) for the analysis of geological data. It presents two specialized software modules designed to solve complex geological problems related to potential progress to disturbed masses and magnetotelluric sounding. These modules are integrated into the QGIS environment, offering efficient data processing and analysis capabilities, contributing to a deeper understanding of geological structures. The study presents a mathematical model for the problem of magnetotelluric sounding (MTS) and the continuation of potentials towards the perturbed masses, demonstrating numerical results using the developed algorithm. To confirm the accuracy of the model, a comparative analysis was carried out with empirical data for various chemical elements, which showed high accuracy, especially at shallow depths, with an error rate of less than 2%. In addition, the study highlights the importance of powerful GIS for the analysis and interpretation of geological data, including geochemical, geophysical and remote sensing information. The advanced functionality of QGIS simplifies data processing and visualization, which makes it an invaluable tool for geologists and researchers.

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Numerical solution of the continuation problem for the one-dimensional acoustics equation

Askerbekova,

Kasenov,

Temirbekov

et al. 2023

Sixth International Conference of Mathematical Sciences (Icms 2022)

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Numerical simulation of inverse geochemistry problems by regularizing algorithms

Cited by 5 publications

References 10 publications

Solution of the Optimization Problem of Magnetotelluric Sounding in Quaternions by the Differential Evolution Method

Solution of the Optimization Problem of Magnetotelluric Sounding in Quaternions by the Differential Evolution Method

Empowering geological data analysis with specialized software GIS modules

Numerical solution of the continuation problem for the one-dimensional acoustics equation

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