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Journal articles on the topic 'Geology, mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 27 July 2025

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1

THIERGÄRTNER, HANNES. "HISTORICAL BACKGROUND OF MATHEMATICAL GEOLOGY AS DEFINED BY VISTELIUS." Earth Sciences History 42, no. 1 (2023): 233–45. http://dx.doi.org/10.17704/1944-6187-42.1.233.

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ABSTRACT This paper is dedicated to Andrey Borisovich Vistelius for his contribution to the development of the mathematical geosciences and to his formulation of the term ‘mathematical geology’. The mathematical geosciences as a scientific subdiscipline were independently developed in several countries. J. C. Griffiths, W. C. Krumbein, and A. B. Vistelius are the most commonly recognized founders of mathematical geology. The term ‘mathematical geology’ is generally attributed to Vistelius. He began applying mathematical algorithms to solve practical geological problems in the 1940s. This new d

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Saldaña, Manuel, Edelmira Gálvez, Pedro Robles, Jonathan Castillo, and Norman Toro. "Copper Mineral Leaching Mathematical Models—A Review." Materials 15, no. 5 (2022): 1757. http://dx.doi.org/10.3390/ma15051757.

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Mineral leaching is the key unit operation in metallurgical processes and corresponds to the dissolution of metals. The study of leaching is carried out in many areas, such as geology, agriculture and metallurgy. This paper provides an introduction to the theoretical background regarding the mathematical modelling of the leaching process of copper minerals, establishing an overall picture of the scientific literature on technological developments and the generation of representative mathematical and theoretical models, and indicating the challenges and potential contributions of comprehensive

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Gorodilov, L. V. "Mathematical Models of Hydraulic Percussion Systems." Journal of Mining Science 41, no. 5 (2005): 475–89. http://dx.doi.org/10.1007/s10913-006-0010-2.

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Revuzhenko, A. F. "Multi-Scale Mathematical Models of Geomedia." Journal of Mining Science 58, no. 3 (2022): 347–56. http://dx.doi.org/10.1134/s1062739122030012.

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Thomsen, Rene O. "Dynamical Models in Geology: Sensitivity Analysis and Scientific Risk." Energy Exploration & Exploitation 11, no. 3-4 (1993): 329–56. http://dx.doi.org/10.1177/0144598793011003-406.

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Dynamical models are used routinely throughout various branches of geology and decisions are often based on the results of such models. Awareness of some fundamental limitations of any model used is therefore vital in order to avoid decision making based on highly uncertain results. Computer models are based on mathematical models which describe essential features of processes or system behaviour and a systematic approach to investigate and understand model limitations can therefore be applied. Sensitivity analysis provides a feel for the system response to uncertainties in both assumptions an

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Revuzhenko, A. F. "Multi-Scale Mathematical Models of Geomedium." Физико-технические проблемы разработки полезных ископаемых, no. 3 (2022): 3–12. http://dx.doi.org/10.15372/ftprpi20220301.

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Бикмухаметова, Дильбар Наиловна, Алсу Рафаэлевна Миндубаева, and Евгения Михайловна Нуриева. "Multi-Level Mathematical Training of University Students." Russian Digital Libraries Journal 22, no. 6 (2019): 531–41. http://dx.doi.org/10.26907/1562-5419-2019-22-6-531-541.

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An important role for the purposeful development of the motivational component of the formed competences among students of engineering and natural-science (geological) specialties is played by the demonstration of the application of mathematical methods of calculations in engineering and geology. At the same time, the solution of practice-oriented tasks is of great importance.It is necessary to teach the student to master the material not only at the knowledge level, but also at the level of mastery of mathematical methods and models, interpolation and extrapolation not only in mathematics, bu

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Buryakovskiy, Leonid A., and George V. Chilingarian. "Time factor in mathematical models of geologic and technical processes." Journal of Petroleum Science and Engineering 6, no. 4 (1992): 341–47. http://dx.doi.org/10.1016/0920-4105(92)90060-e.

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Tonkin, R. A., M. J. O'Sullivan, and J. P. O'Sullivan. "A review of mathematical models for geothermal wellbore simulation." Geothermics 97 (December 2021): 102255. http://dx.doi.org/10.1016/j.geothermics.2021.102255.

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Li, Songyan, Zhaomin Li, and Riyi Lin. "Mathematical models for foam-diverted acidizing and their applications." Petroleum Science 5, no. 2 (2008): 145–52. http://dx.doi.org/10.1007/s12182-008-0022-4.

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Ateş, M. Efe. "Pioneers of the ice age models: a brief history from Agassiz to Milankovitch." History of Geo- and Space Sciences 13, no. 1 (2022): 23–37. http://dx.doi.org/10.5194/hgss-13-23-2022.

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Abstract. It is now widely accepted that astronomical factors trigger the emergence of glacial and interglacial periods. However, nearly two centuries ago, the overall situation was not as apparent as it is today. In this article, I briefly discuss the astronomical model of ice ages put forward in the 19th and early 20th centuries. This period was indeed anni mirabiles for scientists to understand the ice age phenomenon. Agassiz, Adhémar and Croll laid the foundation stones for understanding the dynamics of ice ages. But it was Milankovitch who combined empirical geology with mathematical astr

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Regnier, P., P. Jourabchi, and C. P. Slomp. "Reactive-Transport modeling as a technique for understanding coupled biogeochemical processes in surface and subsurface environments." Netherlands Journal of Geosciences - Geologie en Mijnbouw 82, no. 1 (2003): 5–18. http://dx.doi.org/10.1017/s0016774600022757.

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AbstractReactive-transport models contribute significantly to the field of modern geosciences. A general mathematical approach to solving models of complex biogeochemical systems is introduced. It is argued that even though mathematical models for reactive-transport simulations can be developed at various levels of approximation, the approach for their construction and application to the various compartments of the hydrosphere is fundamentally the same. The workings of coupled transport-reaction systems are described in more detail by means of examples, which demonstrate the similarities in th

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AbdelMeguid, Hossam, Piotr Skworcow, and Bogumil Ulanicki. "Mathematical modelling of a hydraulic controller for PRV flow modulation." Journal of Hydroinformatics 13, no. 3 (2011): 374–89. http://dx.doi.org/10.2166/hydro.2011.024.

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This paper describes the development of mathematical models, which represent static and dynamic properties of the AQUAI-MOD® hydraulic controller coupled with a standard pressure reducing valve (PRV) as well as a new experimental set-up for testing the controller and calibrating and validating the models. The purpose of the AQUAI-MOD® controller is to modulate the PRV outlet pressure according to the valve flow. The controller has been experimentally tested to assess its operation in different conditions and operating ranges and in all cases showed good performance. The mathematical models of

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14

Hurley, G. A. "The prediction of groundwater levels using computer based mathematical models." Geological Society, London, Engineering Geology Special Publications 3, no. 1 (1986): 321–25. http://dx.doi.org/10.1144/gsl.eng.1986.003.01.38.

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Ovseychuk, V. A., and P. B. Avdeev. "Improvement of mathematical models of economics for uranium resource appraisal." Gornyi Zhurnal, no. 7 (July 31, 2023): 37–40. http://dx.doi.org/10.17580/gzh.2023.07.05.

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Stepanov, P. Yu, and Ju A. Gomanyuk. "Mathematical modeling of seismic wave kinematics in complex media." Moscow University Bulletin. Series 4. Geology, no. 6 (February 8, 2023): 167–78. http://dx.doi.org/10.33623/0579-9406-2022-6-167-178.

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A variational method of mathematical modeling of seismic wave kinematics has been developed at the Department of Seismometry and Geoacoustics of the Faculty of Geology of Lomonosov Moscow State University for studying the kinematics of seismic waves of different types in two-dimensional isotropic media (gradient and layered) is presented. The problem of determining the trajectories of seismic rays was solved by integrating using the Runge-Kutta method a system of differential equations with given initial conditions. The algorithm was studied in order to verify the accuracy and correctness of t

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Kröhn, Klaus-Peter. "Bentonite re-saturation: different conceptual models – similar mathematical descriptions." Geological Society, London, Special Publications 443, no. 1 (2016): 269–79. http://dx.doi.org/10.1144/sp443.12.

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Danneels, G., H. B. Havenith, F. Caceres, S. Outal, and E. Pirard. "Filtering of ASTER digital elevation models using mathematical morphology." Geological Society, London, Special Publications 345, no. 1 (2010): 33–42. http://dx.doi.org/10.1144/sp345.5.

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Lapshina, M. L., O. O. Lukina, and D. D. Lapshin. "Use of object-oriented simulation in solving issues of optimal enterprise management." Proceedings of the Voronezh State University of Engineering Technologies 84, no. 1 (2022): 288–94. http://dx.doi.org/10.20914/2310-1202-2022-1-288-294.

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Modern scientific research in economics cannot be imagined without the use of economic and mathematical models and their subsequent analysis. Foreign economic literature contains a significant proportion of articles of both theoretical and applied nature, dominated by mathematical models used to substantiate the assumptions made and the most accurate calculation of economic efficiency. A number of economists very convincingly confirm that the recognition of any theoretical study of an economic nature is determined by the measure of the mathematical formalization of the problem, the adequacy of

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Chanyshev, A. I., and L. L. Efimenko. "Mathematical Models of Block Media in Problems of Geomechanics. Part III: Diamond-Shaped Blocks." Journal of Mining Science 40, no. 6 (2004): 563–78. http://dx.doi.org/10.1007/s10913-005-0044-x.

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Stamou, A. I., M. Latsa, and D. Assimacopoulos. "Design of two-storey final settling tanks using mathematical models." Journal of Hydroinformatics 2, no. 4 (2000): 235–45. http://dx.doi.org/10.2166/hydro.2000.0021.

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A mathematical model is applied to the design of two-storey final settling tanks. Computations show that the flow and suspended solids (SS) concentration fields for the upper and bottom tanks are similar. The flow field has the ‘two-layer’ structure, observed in real and laboratory settling tanks, consisting of a bottom current and a free surface return current with approximately equal heights. The SS concentration field is governed by the flow field (and vice versa). The SS concentration profiles are uniform in the major part of the tanks. The hydraulic and SS removal efficiencies improve wit

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Guergachi, A. Aziz, and Gilles G. Patry. "Identification, verification and validation of process models in wastewater engineering: a critical review." Journal of Hydroinformatics 5, no. 3 (2003): 181–88. http://dx.doi.org/10.2166/hydro.2003.0014.

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This article presents a critical review of the existing methodologies for process mathematical modelling in the area of wastewater engineering. It is argued that model identifiability is not a major issue in mathematical modelling. Model verifiability is a very demanding criterion that can be replaced by a less stringent one: model observability. The issue of ‘complex models versus reduced-order models’ is to be resolved by introducing a new concept: optimal model complexity. The traditional procedures of model validation are not adequate and a mathematical framework for model quality evaluati

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Clary, Kim M. "Modeling the Seafloor." Mathematics Teaching in the Middle School 11, no. 8 (2006): 398–406. http://dx.doi.org/10.5951/mtms.11.8.0398.

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Using geometry to do geology, “Modeling the Seafloor” is a handson activity in which students construct mathematical and physical models to represent a portion of the ocean's floor. While making a three-dimensional model of the seabed, students use fractions, decimals, conversions of decimals to fractions, scale drawings, formulas, visualization, and other skills. They see mathematics placed in a real-world context, and they use their mathematics skills as part of a process to achieve a meaningful end result.

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Chanyshev, A. I., and L. L. Efimenko. "Mathematical Models of Block Media in Problems of Geomechanics. Part I: Deformation of Stratified Medium." Journal of Mining Science 39, no. 3 (2003): 271–80. http://dx.doi.org/10.1023/b:jomi.0000013786.64305.7f.

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Liu, Bing, Lai Jun Lu, and Jia Tong Zhang. "Two Quantity Estimation Models of Mineral Resource Potential Area." Applied Mechanics and Materials 373-375 (August 2013): 2292–98. http://dx.doi.org/10.4028/www.scientific.net/amm.373-375.2292.

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The estimation of the mineral resources area (target area) number is an important part of mathematical geology. Total resource depends not only on the scale of the single target mineralization but is also proportional to the number of target area. In this paper, the target area quantitative algorithm was studied based on the domestic and abroad opinions. The Petersen capture model and Poisson model were introduced into the estimation of resource maternal capacity. In order to meet the requirements of the two models, sampling plan were re-designed and improved. Take 1/200,000 gold mines and met

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Moustafa, T. M., M. Fahmy, and S. S. E. H. Elnashaie. "Applications of Mathematical and Computer Models for the Evaluation of Novel Catalytic Reactors." Developments in Chemical Engineering and Mineral Processing 8, no. 5-6 (2008): 571–86. http://dx.doi.org/10.1002/apj.5500080509.

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She, Bin, Yaojun Wang, Jiandong Liang, Zhining Liu, Chengyun Song, and Guangmin Hu. "A data-driven amplitude variation with offset inversion method via learned dictionaries and sparse representation." GEOPHYSICS 83, no. 6 (2018): R725—R748. http://dx.doi.org/10.1190/geo2017-0615.1.

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Amplitude variation with offset (AVO) inversion is a typical ill-posed inverse problem. To obtain a stable and unique solution, regularization techniques relying on mathematical models from prior information are commonly used in conventional AVO inversion methods (hence the name model-driven methods). Due to the difference between prior information and the actual geology, these methods often have difficulty achieving satisfactory accuracy and resolution. We have developed a novel data-driven inversion method for the AVO inversion problem. This method can effectively extract useful knowledge fr

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Li, Kewen, Yuanping Gao, Youchang Lyu, and Man Wang. "New Mathematical Models for Calculating Proppant Embedment and Fracture Conductivity." SPE Journal 20, no. 03 (2015): 496–507. http://dx.doi.org/10.2118/155954-pa.

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Summary Proppant embedment plays a significant role in decreasing fracture aperture and conductivity, especially for weakly consolidated sandstones, shale (oil and gas) rock, and coalbeds. Empirical and semiempirical models were usually used to calculate the embedment of proppants. However, the accuracy of matching or predicting the proppant embedment with these existing models may not be satisfactory in some cases. On the other hand, it is difficult to determine the coefficients of these models. In this study, analytical models were derived to compute proppant embedment and fracture conductiv

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Yang, Yunlai, Andrew C. Aplin, and Steve R. Larter. "Mathematical models of the distribution of geotracers during oil migration and accumulation." Petroleum Geoscience 11, no. 1 (2005): 67–78. http://dx.doi.org/10.1144/1354-079303-576.

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Makhova, Larisa, Mark Haykin, Irina Glazkova, and Olga Domnina. "Development of Mathematical Models for Trucks and Cargo." Infrastructures 8, no. 2 (2023): 17. http://dx.doi.org/10.3390/infrastructures8020017.

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International trade allows countries to expand their markets and access goods and services that otherwise may not have been domestically available. As a result of international trade, the market is more competitive. This ultimately results in more competitive pricing and brings a cheaper product home to the consumer. The development of mathematical models to optimize the delivery of goods using a limited number of trucks is an urgent task for researchers around the world. The research goal was to use a developed mathematical model that allows one to optimize the performance of transportation t

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Tuteja, R. K., D. J. Spottiswood, and V. N. Misra. "Mathematical models of the column flotation process a review." Minerals Engineering 7, no. 12 (1994): 1459–72. http://dx.doi.org/10.1016/0892-6875(94)90038-8.

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TOMASZEWSKA, Barbara, Marta DENDYS, and Leszek PAJĄK. "ANALYSIS OF HYDROGEOLOGICAL CONDITIONS SUPPORTED BY A MATHEMATICAL MODELING AS THE BASIC STAGE OF INVESTMENT PROJECTS IN GEOTHERMY FIELD." Biuletyn Państwowego Instytutu Geologicznego 471 (October 1, 2018): 179–84. http://dx.doi.org/10.5604/01.3001.0012.4931.

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Geothermal groundwaters are deposits that must be categorised as a mining property. Their exploitation is possible with a mining concession and permission of use. Geothermal groundwaters in Poland are used in heating, balneotherapy and recreation purposes. Over the last years, investigations have been carried out to intensify the use of geothermal groundwaters. They can be used as new geothermal products, for example as a mineralised concentrate. Investment projects related to geothermal groundwaters should be prepared with care about safe and sustained exploitation in long-term perspective. U

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Shamsipour, Pejman, Denis Marcotte, Michel Chouteau, Martine Rivest, and Abderrezak Bouchedda. "3D stochastic gravity inversion using nonstationary covariances." GEOPHYSICS 78, no. 2 (2013): G15—G24. http://dx.doi.org/10.1190/geo2012-0122.1.

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The flexibility of geostatistical inversions in geophysics is limited by the use of stationary covariances, which, implicitly and mostly for mathematical convenience, assumes statistical homogeneity of the studied field. For fields showing sharp contrasts due, for example, to faults or folds, an approach based on the use of nonstationary covariances for cokriging inversion was developed. The approach was tested on two synthetic cases and one real data set. Inversion results based on the nonstationary covariance were compared to the results from the stationary covariance for two synthetic model

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Zadhesh, Jamal, and Abbas Majdi. "MATHEMATICAL DETERMINATION OF ROCK JOINTS MORPHOLOGICAL PROFILE." Rudarsko-geološko-naftni zbornik 37, no. 5 (2022): 117–31. http://dx.doi.org/10.17794/rgn.2022.5.10.

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Determining the geometric or morphology and mechanical properties of joints and geomechanics of intact rock is a vitally important issue in predicting the behaviour of structures built inside or on rock masses. The joint morphology is significant because it affects the strength of the rock mass and controls the stability of the structures related to the rock masses. Until recently, joint morphology was introduced in a simple form which brought about models that are far from the inherent state of a rock joint. The work presented in this research introduces a new model to represent rock joint mo

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Philip, G. M., and D. F. Watson. "Probabilism in Geological Data Analysis." Geological Magazine 124, no. 6 (1987): 577–83. http://dx.doi.org/10.1017/s0016756800017404.

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AbstractThe way in which probability can enter the interpretation of geological data is outlined. Probabilistic models are introduced in data synopses to allow statistical inferences about samples and population parameters. Inferences of this type are a special application of mathematical theory and have little to do with testing scientific generalizations. The logic of statistical inference, as used in operations research, is contrasted with that of geological inference. Geology is a cumulative science; its methodology is not that of experimentation with formal replication; inferences are dev

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Lapshina, M. L., and O. O. Lukina. "The possibility of using innovative models to refine the most optimal approach to managing the behavior of a commercial organization." Proceedings of the Voronezh State University of Engineering Technologies 83, no. 1 (2021): 429–34. http://dx.doi.org/10.20914/2310-1202-2021-1-429-434.

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Practical modeling uses not only theoretical approaches, but also management issues, therefore, it is not entirely correct to compare theoretical and mathematical models. The concept of demand exists as an independent unit, has an independent meaning, and the demand model is represented in the form of an increasing curve and, like any model, contains various explicit and implicit conditions. The paper provides an analysis of existing classification approaches on the adaptation of economic and mathematical models in the issue of finding the most appropriate criteria for optimality from the poin

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Sinclair, Daniel J. "Two mathematical models of Mg and Sr partitioning into solution during incongruent calcite dissolution." Chemical Geology 283, no. 3-4 (2011): 119–33. http://dx.doi.org/10.1016/j.chemgeo.2010.05.022.

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Chanyshev, A. I., and L. L. Efimenko. "Mathematical Models of Block Media in Problems of Geomechanics. Part II: Consideration of the Transverse Block Deformations." Journal of Mining Science 39, no. 6 (2003): 540–51. http://dx.doi.org/10.1023/b:jomi.0000036221.95083.0e.

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Páger, Szabolcs, Gábor Géczi, and László Földi. "Verification of Energy Efficiency as a Function of the Control Mode of a Residential Heating System, Modelled in a MATLAB SIMULINK Environment." Journal of Central European Green Innovation 11, no. 2 (2023): 49–58. http://dx.doi.org/10.33038/jcegi.4850.

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Efficient control of the heating system in residential buildings is of outstanding importance for energy efficiency, comfort, and emissions reduction. The use of mathematical modelling and simulation allows for the investigation and optimization of various heating control modes. During the study, we developed mathematical models to describe different control modes of the heating system in residential buildings. The most commonly used modes were constant setpoint control, variable setpoint control, weather-compensation control, and PID control. Among these, we compared the constant setpoint On/

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Ali, Arkan, Abbas Hussein, Kareem Abood, and Najah Al Maimuri. "Sensitivity of Infiltration Models in Rural Soils Overlying Unsteady Shallow Groundwater." Iraqi Geological Journal 56, no. 1D (2023): 43–57. http://dx.doi.org/10.46717/igj.56.1d.4ms-2023-4-13.

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According to the theoretical concept, the infiltration rate gradually decreases as the shallow groundwater rises to the surface of unsaturated soil regardless of the hydraulic conductivity value. It is expected to decrease to the least when the shallow groundwater level reaches the soil surface and the soil is waterlogged. For this, a deep infiltration test was conducted for four types namely as; (soil no.1: sandy clay, soils no.2, 3 and 4: clayey sand) in the laboratory by means of the infiltration box, in which the amount of infiltration is measured with the hypothetical depth of shallow gro

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WOLNY, Filip, Mariusz JAMRÓZ, Jerzy GASIŃSKI, Marek Marciniak, and Mariusz KACZMAREK. "MATHEMATICAL MODELS OF DUAL TRANSMISSIVITY AND EXAMPLES OF THEIR APPLICATION IN INTERPRETING PIEZOMETRIC TESTS CONDUCTED IN THE BEŁCHATÓW LIGNITE MINE." Biuletyn Państwowego Instytutu Geologicznego 471 (October 1, 2018): 193–200. http://dx.doi.org/10.5604/01.3001.0012.5056.

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Piezometric tests such as the slug test or PARAMEX test usually result in observing damped oscillations or exponential movement of the water level. However, during some tests, a bi-exponential response of the water table has been recorded. Bi-exponential movement may indicate the presence of a dual-permeability medium around the piezometer screen. Such medium is composed of two subdomains, each characterized by different hydraulic properties (including transmissivity, T). The paper aims to present two mathematical models – the piecewise exponential model and the bi-exponential model – which we

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Isa, I., L. T. Kurmangaziyeva, M. K. Urazgaliyeva, A. A. Kubasheva, and A. G. Kassanova. "DEVELOPMENT OF A MATHEMATICAL MODEL OF THE OIL RESERVOIR KENKIYAK FIELD ON THE BASIS OF ITS GEOLOGICAL MODELS." SERIES OF GEOLOGY AND TECHNICAL SCIENCES 5, no. 455 (2022): 93–108. http://dx.doi.org/10.32014/2518-170x.220.

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Maul, Alexandre Rodrigo, Marco Antonio Cetale Santos, Cleverson Guizan Silva, et al. "IMPROVING PRE-SALT RESERVOIRS SEISMIC IMAGES WHEN CONSIDERING THE STRATIFIED EVAPORITES INSERTION IN THE INITIAL MODEL FOR THE VELOCITY UPDATING PROCESSES PRIOR TO THE SEISMIC MIGRATION." Brazilian Journal of Geophysics 37, no. 3 (2019): 235. http://dx.doi.org/10.22564/rbgf.v37i3.2004.

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ABSTRACT. Structurally complex areas, such as the pre-salt section in the offshore Santos Basin, SE Brazil, is a challenge to represent the geology using seismic images. One of the main causes of the observed imaging problems is the evaporitic section and its considerations about velocities used for seismic migration purposes. Some authors consider set to this section an almost constant value (close to 4,500 m/s) which approximately represents the halite velocity, the most abundant mineral in this salt formation. Others, over these models, apply the tomographic inversion or FWI schemes giving

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Dash, Jyotirmayee, and Mamata Kuila. "Comparative Study of Mathematical Model Applications on the Amount of N-P-K Fertilizer Absorbed to Meet the Best Yield Data of Paddy (Rice) Cultivation." International Journal of Plant & Soil Science 35, no. 7 (2023): 70–77. http://dx.doi.org/10.9734/ijpss/2023/v35i72863.

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Soil-based test studying prevailing to so many crops in Vindhyan alluvial plains from 2001 to 2004 has shown result of production on special rice crop (IR-36) by testing leveraging on soil stoichiometric testing and recommended balanced fertilizers and organic matter amelioration by application for the niche area of impact to targeted yield of paddy crop. The results confirm that soil micro-flora and micro-organisms speed up aeration, drainage, and the best crumby structures, resulting in embryonic fertility and support for crop plants' profuse and vigorous growth through the best soil texture

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Sychev, Yurii, and Roman Zimin. "Improving the quality of electricity in the power supply systems of the mineral resource complex with hybrid filter-compensating devices." Journal of Mining Institute 247 (March 16, 2021): 132–40. http://dx.doi.org/10.31897/pmi.2021.1.14.

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The urgency and necessity of choosing and justifying the structures of hybrid filter-compensating devices based on series and parallel active filters to improve the quality of electricity in the power supply systems of enterprises of the mineral resource complex is shown. Mathematical models of hybrid filter compensating devices based on parallel and series active filters have been developed. Based on these mathematical models, computer simulation models of the indicated hybrid structures have been developed. The results of simulation showed the effectiveness of the correction of power quality

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Nikitin, Vasiliy. "Problem solution analysis on finding the velocity distribution for laminar flow of a non-linear viscous flushing fluid in the annular space of a well." Journal of Mining Institute 258 (December 30, 2022): 964–75. http://dx.doi.org/10.31897/pmi.2022.93.

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Modern drilling fluids are non-linear viscous media with an initial shear stress. In classical scientific works on hydromechanical modeling of drilling fluids motion in pipes and annular channels the Shvedov – Bingham approximation and Ostwald – de Waale power-law model were used, which did not fully account for behavior of technological fluids in a wide range of shear rates. This article presents a numerical solution for a mathematical model of drilling fluid motion of the three-parameter Herschel – Bulkley rheological model in the annular space of the well. The Herschel – Bulkley model in th

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Hayat, Muhammad Badar, Muhammad Danishwar, Amna Hamid, Mirza Muhammad Zaid, and Muhammad Zaka Emad. "Quadratic Mathematical Modeling of Sustainable Dry Beneficiation of Kaolin." Minerals 11, no. 4 (2021): 429. http://dx.doi.org/10.3390/min11040429.

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Clay minerals are one of the most utilized minerals among non-metals. These are hydrous aluminum silicates with a layer (sheet-like) structure. Kaolin is a hydrous aluminosilicate mineral with a thin platelet structure. Kaolin is extensively used in paper, paint, and many other industries. Wet processing of kaolin will not be sustainable over the long term because global freshwater resources are becoming scarce. Hence, a process is necessary that does not consume water during the beneficiation of kaolin. This study developed a dry beneficiation process for low-grade kaolin of 59.6%, with 12% q

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Orazbayev, B., I. Issa, S. Iskakova, and L. Kurmangaziyeva. "Application of mathematical modelling methods in oil production management." Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no. 4 (August 30, 2022): 112–16. http://dx.doi.org/10.33271/nvngu/2022-4/112.

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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 o

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Chanyshev, A. I., O. E. Belousova, and O. A. Luk'yashko. "Mathematical Models of Block Media in Problems of Geomechanics. Part IV: Interaction of an Induced Structure and Stress State." Journal of Mining Science 41, no. 4 (2005): 298–311. http://dx.doi.org/10.1007/s10913-005-0095-z.

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Stange, W. "The optimization of the CIP process using mathematical and economic models." Minerals Engineering 4, no. 12 (1991): 1279–95. http://dx.doi.org/10.1016/0892-6875(91)90172-r.

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