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Journal articles on the topic 'Reservoirs – Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 March 2023

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1

Vieira, J. M. P., J. L. S. Pinho, N. Dias, D. Schwanenberg, and H. F. P. van den Boogaard. "Parameter estimation for eutrophication models in reservoirs." Water Science and Technology 68, no. 2 (July 1, 2013): 319–27. http://dx.doi.org/10.2166/wst.2013.248.

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Excessive eutrophication is a major water quality issue in lakes and reservoirs worldwide. This complex biological process can lead to serious water quality problems. Although it can be adequately addressed by applying sophisticated mathematical models, the application of these tools in a reservoir management context requires significant amounts of data and large computation times. This work presents a simple primary production model and a calibration procedure that can efficiently be used in operational reservoir management frameworks. It considers four state variables: herbivorous zooplankto

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2

Ziemińska-Stolarska, Aleksandra, and Jerzy Skrzypski. "Review of Mathematical Models of Water Quality." Ecological Chemistry and Engineering S 19, no. 2 (January 1, 2012): 197–211. http://dx.doi.org/10.2478/v10216-011-0015-x.

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Review of Mathematical Models of Water Quality Water is one of the main elements of the environment which determine the existence of life on the Earth, affect the climate and limit the development of civilization. Water resources management requires constant monitoring in terms of its qualitative-quantitative values. Proper assessment of the degree of water pollution is the basis for conservation and rational utilization of water resources. Water quality in lakes and dams is undergoing continuous degradation caused by natural processes resulting from eutrophication and due to anthropogenic rea

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3

Zhang, Bo-ning, Xiao-gang Li, Yu-long Zhao, Cheng Chang, and Jian Zheng. "A Review of Gas Flow and Its Mathematical Models in Shale Gas Reservoirs." Geofluids 2020 (November 30, 2020): 1–19. http://dx.doi.org/10.1155/2020/8877777.

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The application of horizontal wells with multistage hydraulic fracturing technologies has made the development of shale gas reservoirs become a worldwide economical hotspot in recent years. The gas transport mechanisms in shale gas reservoirs are complicated, due to the multiple types of pores with complex pore structure and special process of gas accumulation and transport. Although there have been many attempts to come up with a suitable and practical mathematical model to characterize the shale gas flow process, no unified model has yet been accepted by academia. In this paper, a comprehens

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Madgazin, R. J., and S. S. Orlova. "Mathematical models of hydrothermal regime of the reservoirs-coolers." Agrarian Scientific Journal, no. 2 (February 20, 2017): 59–63. http://dx.doi.org/10.28983/asj.v0i2.34.

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5

Mercado Sierra, Diana Patricia, Samuel Fernando Muñoz Navarro, and Aníbal Ordóñez Rodríguez. "DEVELOPMENT OF AN ANALYTICAL MODEL FOR STEAMFLOOD IN STRATIFIED RESERVOIRS OF HEAVY OIL." CT&F - Ciencia, Tecnología y Futuro 3, no. 5 (December 31, 2009): 19–34. http://dx.doi.org/10.29047/01225383.447.

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The use of analytical models to predict reservoir behavior depends on the similarity between the mathematically modeled system and the reservoir. Currently, there are not any models available for the prediction of steamflood behavior in stratified reservoirs based on the characteristics of reservoirs found in the Colombian Middle Magdalena valley, because the existing analytical models describe homogenous or idealized reservoirs. Therefore, it is necessary to propose a new model that includes the presence of clay intercalation in zones submitted to steamflood. The new analytical model is found

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6

Silva, Fabio Leandro da, Ângela Terumi Fushita, Marcela Bianchessi da Cunha-Santino, and Irineu Bianchini Júnior. "Advantages, disadvantages and methods of applying mathematical models to evaluate water quality in reservoirs: a systematic review." Ambiente e Agua - An Interdisciplinary Journal of Applied Science 17, no. 2 (April 12, 2022): 1–19. http://dx.doi.org/10.4136/ambi-agua.2804.

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Human activities are affecting reservoir water quality; consequently, methods are necessary to verify those impacts. Mathematical modeling improves the understanding of the anthropic impact on water quality, changes in limnological data, and helps formulate management strategies. However, it is necessary to consider the (dis)advantages as well as the methods used for water-quality assessment in reservoirs. This study conducted a systematic review in four databases: (i) PubMed/Medline; (ii) Scopus; (iii) Web of Science; and (iv) Wiley Online Library. We combined Boolean operators and words aimi

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7

de Rooij, G. H. "Is the groundwater reservoir linear? A mathematical analysis of two limiting cases." Hydrology and Earth System Sciences Discussions 11, no. 1 (January 6, 2014): 83–108. http://dx.doi.org/10.5194/hessd-11-83-2014.

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Abstract. Storage–discharge relationships of the groundwater reservoirs of several catchments in a temperate-humid climate were reported in the literature to be seemingly non-linear. Once recharge was adequately accounted for during model calibration they turned out to be linear. The question was posed if this linearity was a fundamental property of groundwater reservoirs in general. A mathematical analysis based on analytical solutions for several cases involving parallel flow in horizontal aquifers shows that this is not the case when the surface water level is close to the aquifer bottom. W

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8

Klein, Rupert, Roya Ebrahimi Viand, Felix Höfling, and Luigi Delle Site. "Nonequilibrium Induced by Reservoirs: Physico‐Mathematical Models and Numerical Tests." Advanced Theory and Simulations 4, no. 7 (May 5, 2021): 2100071. http://dx.doi.org/10.1002/adts.202100071.

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9

Gao, Xiang, Tailu Li, Yao Zhang, Xiangfei Kong, and Nan Meng. "A Review of Simulation Models of Heat Extraction for a Geothermal Reservoir in an Enhanced Geothermal System." Energies 15, no. 19 (September 28, 2022): 7148. http://dx.doi.org/10.3390/en15197148.

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This paper reviews the heat transfer model for geothermal reservoirs, the fracture network in reservoirs, and the numerical model of hydraulic fracturing. The first section reviews the heat transfer models, which contain the single-porosity model, the dual-porosity model, and the multi-porosity model; meanwhile the mathematical equations of the porosity model are summarized. Then, this paper introduces the fracture network model in reservoirs and the numerical method of computational heat transfer. In the second section, on the basis of the conventional fracture theory, the PKN (Perkins–Kern–N

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10

Mańko, Robert, and Norbert Laskowski. "Comparative analysis of the effectiveness of the conceptual rainfall-runoff hydrological models on the selected rivers in Odra and Vistula basins." ITM Web of Conferences 23 (2018): 00025. http://dx.doi.org/10.1051/itmconf/20182300025.

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Identification of physical processes occurred in the watershed is one of the main tasks in hydrology. Currently the most efficient hydrological processes describing and forecasting tool are mathematical models. They can be defined as a mathematical description of relations between specified attributes of analysed object. It can be presented by: graphs, arrays, equations describing functioning of the object etc. With reference to watershed a mathematical model is commonly defined as a mathematical and logical relations, which evaluate quantitative dependencies between runoff characteristics and

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11

Mateo-Lázaro, Jesús, Jorge Castillo-Mateo, José Sánchez-Navarro, Víctor Fuertes-Rodríguez, Alejandro García-Gil, and Vanesa Edo-Romero. "New Analysis Method for Continuous Base-Flow and Availability of Water Resources Based on Parallel Linear Reservoir Models." Water 10, no. 4 (April 11, 2018): 465. http://dx.doi.org/10.3390/w10040465.

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Water flows in the hydrosphere through a tangled and tortuous labyrinth of ways that is the hydrological cycle. Flow separation models are an attempt to group such complexity of paths into a few components of flow and storage so as to reflect the overall behaviour of a basin. A new method of analysis and separation of flow components, based on equations of dynamic relations between Linear Reservoirs connected in Parallel (PLR models), is developed in this article. A synthesis of models based on mathematical filter equations is carried out in order to make comparisons with the proposed model. R

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Sukhinov, Alexander, Valentina Sidoryakina, Elena Protsenko, and Sofya Protsenko. "Wind Currents Effects Numerical Simulation on the Coastal Zone of Large Reservoirs." Mathematical Physics and Computer Simulation, no. 3 (December 2022): 15–30. http://dx.doi.org/10.15688/mpcm.jvolsu.2022.3.2.

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Calculation and evaluation of wind currents hydrophysical characteristics of large reservoirs is the purpose of this work. Adequate dynamic mathematical models are necessary for conducting these studies and constructing appropriate algorithms implemented on supercomputers. The shallow water reservoirs hydrodynamic model is developed on the basis of three-dimensional mathematical model that includes the Navier — Stokes equations of motion in three coordinate directions, the equations of continuity of an incompressible fluid, the equations of heat transport and the equations of state or the dens

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13

Guseynov, Sharif E., and Jekaterina V. Aleksejeva. "Mathematical Modelling of Aquatic Ecosystem." Environment. Technology. Resources. Proceedings of the International Scientific and Practical Conference 3 (June 16, 2015): 92. http://dx.doi.org/10.17770/etr2015vol3.192.

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<p class="R-AbstractKeywords"><span lang="EN-US">In present paper we consider the complete statements of initial-boundary problems for the modelling of various aspects of aqueous systems in Latvia. All the proposed models are the evolutionary models: all they are nonstationary and continuous qualitative models having the dynamic parameters and aimed at analysis, evaluation and forecast of aqueous systems (reservoirs, lakes and seas). In constructing these mathematical models as research tools classic apparatus of differential equations (both ODE and PDE) as well as apparatus of mat

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14

Asfaw, Tilahun Derib, and Ahmad Mustafa Hashim. "Development of Cascade Hydropower Reservoirs Operating System Rule Using Refill and Deplete Ranking Orders." Advanced Materials Research 433-440 (January 2012): 1735–39. http://dx.doi.org/10.4028/www.scientific.net/amr.433-440.1735.

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A new model is developed for a cascade of four hydropower reservoirs operation. The aim is to improve the total power generation from the system. Daily data of reservoir level, release and power generated which varies from 4-20 years are used for analysis. Long-term data of reservoir level and inflow are used to determine the critical period. The critical period is classified into four seasons; these are filling, depleting, upper and lower level operating season. Mathematical models are used to rank the refill and the deplete order of the reservoirs. A new rule models are presented using the r

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15

Semerak, Mykhailo, and Hanna Lyantse. "Mathematical modeling and investigation of anomalies of the temperature field of the earth′s crust over oil and gas reservoirs." Physico-mathematical modelling and informational technologies, no. 28, 29 (December 27, 2019): 92–101. http://dx.doi.org/10.15407/fmmit2020.28.092.

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In geothermal studies of oil and gas fields, temperature anomalies were found in the surface layers of the crust. In the paper, mathematical models of temperature fields of the Earth's crust over the oil and gas reservoirs have been constructed. The anomalies of the temperature field in the neutral layer depending on the depth of deposits, the capacity of the reservoir have been investigated using experimental data. A mathematical model of the Earth's crust has been also constructed taking into account its lithological structure. The influence of lithological heterogeneity of the layer on the

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16

Bian, Huiyuan, Kewen Li, Binchi Hou, and Xiaorong Luo. "A New Model to Calculate Oil-Water Relative Permeability of Shaly Sandstone." Geofluids 2020 (September 24, 2020): 1–11. http://dx.doi.org/10.1155/2020/8842276.

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Oil-water relative permeability curves are the basis of oil field development. In recent years, the calculation of oil-water relative permeability in sandstone reservoirs by resistivity logging data has received much attention from researchers. This article first analyzed the existing mathematical models of the relationship between relative permeability and resistivity and found that most of them are based on Archie formula, which assumes the reservoir is clean sandstone. However, in view of the fact that sandstone reservoir is commonly mixed with shale contents, this research, based on the du

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17

Yarakhanova, D. G., and M. E. Hossain. "Algorithm for selecting systems horizontal wells and mathematical models for unconventional reservoirs." Russian Journal of Earth Sciences 20, no. 6 (October 29, 2020): 1–8. http://dx.doi.org/10.2205/2020es000727.

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18

Charles, D. D., H. H. Rieke, and R. Purushothaman. "Well-Test Characterization of Wedge-Shaped, Faulted Reservoirs." SPE Reservoir Evaluation & Engineering 4, no. 03 (June 1, 2001): 221–30. http://dx.doi.org/10.2118/72098-pa.

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Summary Two offshore, wedge-shaped reservoirs in south Louisiana were interpreted with pressure-buildup responses by comparing the results from simulated finite-element model studies. The importance of knowing the correct reservoir shape, and how it is used to interpret the generated boundary-pressure responses, is briefly discussed. Two different 3D computer models incorporating different wedge-shaped geometries simulated the test pressure-buildup response patterns. Variations in the two configurations are topologically expressed as a constant thickness and a nonconstant thickness, with smoot

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19

Tang, Wen, Ying Gao, and Yi Ding. "Study on the Models of Water Shortage and its Simulation Analysis." Advanced Materials Research 807-809 (September 2013): 1653–57. http://dx.doi.org/10.4028/www.scientific.net/amr.807-809.1653.

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This paper introduces several mathematical models in order to analysis and solves the problem of the water shortage in China. Some economic strategies have been concluded for government. The strategies include adjusting water fee, constructing reservoirs and water transfer.

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20

Pérez Carrillo, Edgar Ricardo, José Francisco Zapata Arango, and Nicolás Santos Santos. "A NEW METHOD FOR THE EXPERIMENTAL DETERMINATION OF THREE-PHASE RELATIVE PERMEABILITIES." CT&F - Ciencia, Tecnología y Futuro 3, no. 4 (December 31, 2008): 23–43. http://dx.doi.org/10.29047/01225383.461.

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Petroleum reservoirs under primary, secondary or tertiary recovery processes usually experience simultaneous flow of three fluids phases (oil, water and gas). Reports on some mathematical models for calculating three-phase relative permeability are available in the Literature. Nevertheless, many of these models were designed based on certain experimental conditions and reservoir rocks and fluids. Therefore, special care has to be taken when applying them to specific reservoirs. At the laboratory level, three-phase relative permeability can be calculated using experimental unsteady-state or ste

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A. I., Sukhinov, Protsenko S.V., and Panasenko N. D. "MATHEMATICAL MODELING AND ECOLOGICAL DESIGN OF THE MARINE SYSTEMS TAKING INTO ACCOUNT MULTI-SCALE TURBULENCE USING REMOTE SENSING DATA." Computational Mathematics and Information Technologies 1, no. 3 (December 31, 2022): 104–13. http://dx.doi.org/10.23947/2587-8999-2022-1-3-104-113.

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The paper considers a mathematical model of biological kinetics and geochemical cycles based on a system of convection-diffusion equations with nonlinear coefficients, supplemented by a spatially inhomogeneous three-dimensional mathematical model of wave hydrodynamics of a shallow reservoir, with a refined coefficient of turbulent vertical exchange. The task of monitoring the water surface in order to detect phytoplankton spots involves the creation and verification of effective methods for clustering these objects on the surface of reservoirs, in particular, restoring their boundaries based o

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22

Cui, Jiangfeng, and Long Cheng. "Liquid Storage Characteristics of Nanoporous Particles in Shale: Rigorous Proof." Energies 12, no. 20 (October 19, 2019): 3985. http://dx.doi.org/10.3390/en12203985.

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Different from conventional reservoirs, a significant proportion of oil is in an adsorbed or even immobile state in shale and tight rocks. There are established comprehensive mathematical models quantifying the adsorbed, immobile, and free oil contents in shale rocks. However, the conclusions of the monotonicity of the complicated models from sensitivity analysis might not be universal, and rigorous mathematical derivation is needed to demonstrate their rationale. In this paper, the models for oil/water storage in the nanoporous grains in shale, i.e., kerogen and clay, are achieved based on th

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23

Prajapati, Srichand, and Eswaran Padmanabhan. "Application of Machine Learning for Shale Reservoir Permeability Prediction." IOP Conference Series: Earth and Environmental Science 1003, no. 1 (April 1, 2022): 012025. http://dx.doi.org/10.1088/1755-1315/1003/1/012025.

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Abstract Due to ultra-low permeability, the characterization of shale reservoir is always being a challenge. The traditional models are insufficient to estimate the ultra-low permeability of shale reservoirs. Based on Machine Learning, we proposed a simple mathematical approach to predict the permeability of shale reservoirs. Machine-learning techniques are good options for generating a rapid, robust, and cost-effective permeability prediction because of their strengths to deliver the variables. Additionally, used the Kozeny’s equation with power mean approach to constraint the estimated perme

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Araujo Guerrero, Edson Felipe, Cristhian Bernardo Morales–Monsalve, Guillermo Arturo Alzate Espinosa, and Alejandra Arbelaez Londoño. "Numerical model for predicting and evaluating sand production in weakly consolidated reservoirs." DYNA 89, no. 220 (March 24, 2022): 54–63. http://dx.doi.org/10.15446/dyna.v89n220.97093.

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Sand production is a common phenomenon in oil and gas reservoirs, which occurs when reservoir fluids exert a sufficient drag force on reservoir rocks to erode the matrix. Numerical models for sand production have been used to understand the sanding mechanisms and forecast sand-production potential of formations to design well completion, optimize production, and prevent setbacks in future operations. This paper presents a mathematical model for defining the conditions of sanding onset as well as to predict and quantify the sand rate. We also introduce fluid-flow coupling and a geomechanical an

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Belozerov, Ivan, and Marsel Gubaydullin. "Concept of technology for determining the permeability and porosity properties of terrigenous reservoirs on a digital rock sample model." Journal of Mining Institute 244 (July 30, 2020): 402–7. http://dx.doi.org/10.31897/pmi.2020.4.2.

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The aim of the article is to form the concept of technology for determining the permeability and porosity properties of terrigenous reservoirs using mathematical modeling methods on a digital rock sample model. Digital rock sample modeling is used to assess geological oil reserves. The article presents the concept of digital rock sample modeling technology, which allows carrying out qualitative investigations to determine the permeability and porosity characteristics of the formation, including modeling the pore space and filtration processes. The essence of the concept is that the simul

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26

Wu, Yu-Shu, Jianfang Li, Didier-Yu Ding, Cong Wang, and Yuan Di. "A Generalized Framework Model for the Simulation of Gas Production in Unconventional Gas Reservoirs." SPE Journal 19, no. 05 (April 4, 2014): 845–57. http://dx.doi.org/10.2118/163609-pa.

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Summary Unconventional gas resources from tight-sand and shale gas reservoirs have received great attention in the past decade around the world because of their large reserves and technical advances in developing these resources. As a result of improved horizontal-drilling and hydraulic-fracturing technologies, progress is being made toward commercial gas production from such reservoirs, as demonstrated in the US. However, understandings and technologies needed for the effective development of unconventional reservoirs are far behind the industry needs (e.g., gas-recovery rates from those unco

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Semerak, Mykhailo, Sergii Pozdeev, Roman Yakovchuk, Olga Nekora, and Oleksandr Sviatkevych. "Mathematical modeling of thermal fire effect on tanks with oil products." MATEC Web of Conferences 247 (2018): 00040. http://dx.doi.org/10.1051/matecconf/201824700040.

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The aim of the work is the development of mathematical models for research that allows to determine the ultimate indicators of the thermal effect on tanks with oil products in a fire. A calculation method was developed to implement the calculation for various scenarios for the development of a fire in a tank with oil. After the calculations, the results of mathematical modeling of the temperature on the walls of the reservoir in the conditions of a fire in neighboring reservoirs in the form of temperature distributions were obtained. Analysis of the temperature distributions showed that the mo

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Panasenko, Natalia, Marina Ganzhur, Alexey Ganzhur, and Vladimir Fathi. "Multichannel satellite image application for water surface objects identification." E3S Web of Conferences 210 (2020): 07005. http://dx.doi.org/10.1051/e3sconf/202021007005.

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The paper is devoted to the analysis of methods of adoption of satellite observation data in order to identify the required information used in the development and verification of mathematical models of hydrodynamics and biological kinetics of shallow water reservoirs. For the information accumulation, we consider the use of remote sensing data. The aim of the paper is to identify the best implementation method for software tools in order to improve the quality of assimilation of date of satellite sensing of the Earth relating to hydrobiological processes in a shallow water reservoir.

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29

Al Rbeawi, Dr Salam. "The impact of closed perforation zones and damaged sections on flow dynamics and pressure behaviors of horizontal wells." Journal of Petroleum Research and Studies 7, no. 2 (May 6, 2021): 1–28. http://dx.doi.org/10.52716/jprs.v7i2.185.

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Horizontal wells with multiple completion parts have become a common completion technique in the oil and gas industry. Sand and asphalt production problems, damaged zones and water cresting or gas coning are the main reasons for using this technique to sustain or improve oil and gas recovery. However, using such completion technique introduces negative effects on pressure behavior of horizontal wells.This paper introduces new mathematical models for horizontal well containing several closed completed sections acting in finite and infinite reservoirs. These models can be used to evaluate the im

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30

Ren, Long, Wendong Wang, Yuliang Su, Mingqiang Chen, Cheng Jing, Nan Zhang, Yanlong He, and Jian Sun. "Multiporosity and Multiscale Flow Characteristics of a Stimulated Reservoir Volume (SRV)-Fractured Horizontal Well in a Tight Oil Reservoir." Energies 11, no. 10 (October 11, 2018): 2724. http://dx.doi.org/10.3390/en11102724.

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There are multiporosity media in tight oil reservoirs after stimulated reservoir volume (SRV) fracturing. Moreover, multiscale flowing states exist throughout the development process. The fluid flowing characteristic is different from that of conventional reservoirs. In terms of those attributes of tight oil reservoirs, considering the flowing feature of the dual-porosity property and the fracture network system based on the discrete-fracture model (DFM), a mathematical flow model of an SRV-fractured horizontal well with multiporosity and multipermeability media was established. The numerical

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Ning, Bo, Jiafeng Xu, Jing Jiang, and Minhua Cheng. "Transient pressure behavior of horizontal well in gas reservoirs with arbitrary boundary." Energy Exploration & Exploitation 38, no. 6 (August 26, 2020): 2370–88. http://dx.doi.org/10.1177/0144598720953255.

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Transient pressure analysis is a crucial tool to forecast the production performance during the exploration and production process in gas reservoirs. Usually, a regular shaped outer boundary is assumed in previous studies for well-testing analysis, which is just a simplification of practical cases and cannot reflect the actual boundaries of reservoirs. In this paper, a mathematical model is established to analyze the transient pressure behaviors of a horizontal well in an arbitrarily shaped gas reservoir. Dimensionless treatment, Laplace transformation, and boundary element method are applied

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Uzun, Ilkay, Basak Kurtoglu, and Hossein Kazemi. "Multiphase Rate-Transient Analysis in Unconventional Reservoirs: Theory and Application." SPE Reservoir Evaluation & Engineering 19, no. 04 (May 18, 2016): 553–66. http://dx.doi.org/10.2118/171657-pa.

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Summary In unconventional reservoirs, production data are generally analyzed by use of rate-transient techniques derived from single-phase linear-flow models. Such linear-flow models use rate-normalized pressure, which is pressure drop divided by reservoir-flow rate vs. square root of time. In practice, the well-fluid production includes water, oil, and gas. The oil can be light oil, volatile oil, and gas/condensate as in the Bakken, Eagle Ford, and Barnett, respectively. Thus, single-phase analysis needs modification to account for production of fluid mixtures. In this paper, we present a mul

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Barros-Galvis, Nelson, Pedro Villaseñor, and Fernando Samaniego. "Analytical Modeling and Contradictions in Limestone Reservoirs: Breccias, Vugs, and Fractures." Journal of Petroleum Engineering 2015 (April 30, 2015): 1–28. http://dx.doi.org/10.1155/2015/895786.

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Modeling of limestone reservoirs is traditionally developed applying tectonic fractures concepts or planar discontinuities and has been simulated dynamically without considering nonplanar discontinuities as sedimentary breccias, vugs, fault breccias, and impact breccias, assuming that all these nonplanar discontinuities are tectonic fractures, causing confusion and contradictions in reservoirs characterization. The differences in geometry and connectivity in each discontinuity affect fluid flow, generating the challenge to develop specific analytical models that describe quantitatively hydrody

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Ombaki, Richard, and Joash Kerongo. "Formulated Mathematical Model for Delayed Particle Flow in Cascaded Subsurface Water Reservoirs with Validation on River Flow." Journal of Applied Mathematics 2022 (November 10, 2022): 1–11. http://dx.doi.org/10.1155/2022/3438200.

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Migration of pollutant particles into subsurface water reservoirs through point sources is largely involved mixing processes within the system of water flow. Possible potential sources of pollution to these point sources include municipal wastes, septic loads, landfills, uncontrolled hazardous wastes, and sewage storage tanks. The mixing processes of pollutant significantly alter their predictive rate of flow in the water reservoirs, and therefore the time inherent in mixing processes need to be accounted for. In this study, pollution of subsurface water reservoirs mainly rivers and streams th

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35

Paterson, Lincoln. "A REVIEW OF COMPUTER MODELS TO CHARACTERISE HETEROGENEITY IN PETROLEUM BASINS." APPEA Journal 33, no. 1 (1993): 322. http://dx.doi.org/10.1071/aj92023.

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Heterogeneity is a major problem in the evaluation of petroleum reservoirs. Yet the search for oil requires increasingly complex reservoirs to be evaluated. It is often necessary to interpolate sparse data, which may be performed inaccurately.One approach to this problem has resulted in the development of a number of computer models that produce statistically correct interpolation of data. Two types of models exist, namely process and response. Process models attempt to build sedimentary formations from the physical processes involved in deposition, such as aggradation, avulsion, compaction an

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Gu, Shaohua, Yunqing Shi, and Zhangxin Chen. "Numerical Simulation of Fracture Permeability Change in Production of Pressure-sensitive Reservoirs with In-situ Stress Field." Open Petroleum Engineering Journal 8, no. 1 (October 22, 2015): 440–50. http://dx.doi.org/10.2174/1874834101508010440.

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In pressure sensitive reservoirs, interaction effects among the porous media flow field, the fracture field and the stress field can cause some specific flow characteristics entirely different from those in conventional reservoirs. Dynamic fracture behavior is one of them, which generates a change in the value of fracture aperture and even a variation in the anisotropy of permeability. In this paper, we focus on the dynamic behavior of fractures and some affecting factors, including driving pressure and in-situ stress. Numerical discrete fracture network (DFN) models are built and solved by th

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Otchere, Daniel Asante, Mohammed Abdalla Ayoub Mohammed, Tarek Omar Arbi Ganat, Raoof Gholami, and Zulkifli Merican Aljunid Merican. "A Novel Empirical and Deep Ensemble Super Learning Approach in Predicting Reservoir Wettability via Well Logs." Applied Sciences 12, no. 6 (March 14, 2022): 2942. http://dx.doi.org/10.3390/app12062942.

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Accurately measuring wettability is of the utmost importance because it influences several reservoir parameters while also impacting reservoir potential, recovery, development, and management plan. As such, this study proposes a new formulated mathematical model based on the correlation between the Amott-USBM wettability measurement and field NMR T2LM log. The exponential relationship based on the existence of immiscible fluids in the pore space had a correlation coefficient of 0.95. Earlier studies on laboratory core wettability measurements using T2 distribution as a function of increasing w

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Jiang, Ruizhong, Jianchun Xu, Zhaobo Sun, Chaohua Guo, and Yulong Zhao. "Rate Transient Analysis for Multistage Fractured Horizontal Well in Tight Oil Reservoirs considering Stimulated Reservoir Volume." Mathematical Problems in Engineering 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/489015.

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A mathematical model of multistage fractured horizontal well (MsFHW) considering stimulated reservoir volume (SRV) was presented for tight oil reservoirs. Both inner and outer regions were assumed as single porosity media but had different formation parameters. Laplace transformation method, point source function integration method, superposition principle, Stehfest numerical algorithm, and Duhamel’s theorem were used comprehensively to obtain the semianalytical solution. Different flow regimes were divided based on pressure transient analysis (PTA) curves. According to rate transient analysis

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Martyushev, Dmitriy A., Inna N. Ponomareva, and Vladislav I. Galkin. "Conditions for Effective Application of the Decline Curve Analysis Method." Energies 14, no. 20 (October 9, 2021): 6461. http://dx.doi.org/10.3390/en14206461.

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Determining the reliable values of the filtration parameters of productive reservoirs is the most important task in monitoring the processes of reserve production. Hydrodynamic studies of wells by the pressure build-up method, as well as a modern method based on production curve analysis (Decline Curve Analysis (DCA)), are some of the effective methods for solving this problem. This paper is devoted to assessing the reliability of these two methods in determining the filtration parameters of terrigenous and carbonaceous productive deposits of oil fields in the Perm Krai. The materials of 150 c

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Katanov, Yu E. "A probabilistic and statistical model of rock deformation." E3S Web of Conferences 266 (2021): 03011. http://dx.doi.org/10.1051/e3sconf/202126603011.

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A new approach to the study of strength characteristics of the rocks on the basis of probabilistic and statistical models of the deformation processes (models of dilatancy initiation processes) under conditions of uncertainty is presented. The main purpose of the study is to create geological and mathematical tools, which could be used to study the development of volumetric deformation (dilatancy, disintegration) of reservoirs at a constant tension, acting on the array. The information and analytical basis of the performed study consists of methods of mathematical statistics and probability th

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Bouaanani, Najib, Patrick Paultre, and Jean Proulx. "Dynamic response of a concrete dam impounding an ice-covered reservoir: Part I. Mathematical modelling." Canadian Journal of Civil Engineering 31, no. 6 (December 1, 2004): 956–64. http://dx.doi.org/10.1139/l04-075.

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This paper examines the dynamic response of a concrete dam impounding an ice-covered reservoir and subjected to forced-vibration testing. The analytical research presented is a follow-up to an extensive dynamic testing program carried out on a 84-m high concrete gravity dam located in northeastern Quebec, Canada, under harsh winter conditions, including a 1.0- to 1.5-m-thick ice sheet covering the reservoir. One of the major challenges encountered when analyzing ice-dam-reservoir-foundation interaction is modelling the complex nature of the ice and the boundary conditions governing reservoir m

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Wang, Yuhan, Zhengdong Lei, Zhenhua Xu, Jie Liu, Xiaokun Zhang, Erhui Luo, Yuqi Liu, and Pengcheng Liu. "A Novel Mathematical Model for Fracturing Effect Evaluation Based on Early Flowback Data in Shale Oil Reservoirs." Geofluids 2021 (December 16, 2021): 1–14. http://dx.doi.org/10.1155/2021/1780937.

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For shale oil reservoirs, the horizontal well multistage fracturing technique is mostly used to reform the reservoir in order to achieve economic and effective development. The size of the reservoir reconstruction volume and the quantitative characterization of the fracture system are of great significance to accurately predict the productivity of shale oil wells. There are few flowback models for shale oil reservoirs. To solve this problem, first, a physical model of the simultaneous production of oil, gas, and water in the early flowback stage of shale oil development is established using th

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Gilmanov, Alexander Ya, Tatyana N. Kovalchuk, and Alexander P. Shevelev. "Physical and mathematical modeling of cyclic steam stimulation for oil reservoirs." Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy 6, no. 1 (2020): 176–91. http://dx.doi.org/10.21684/2411-7978-2020-6-1-176-191.

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This article discusses the construction of a physical and mathematical model of the steam cycle effect on oil reservoirs. Existing models require calculations in hydrodynamic simulators or significantly simplify the description of the motion of the heat front. Within the framework of the proposed model, a number of assumptions are introduced regarding the movement of the thermal interface between the heated oil located in the bottomhole zone and the oil whose temperature is equal to the initial one. It is assumed that this boundary has the form of a straight line in a rectangular coordinate sy

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Pourpak, Hamid, Bernard J. Bourbiaux, Frédéric Roggero, and Frederick Delay. "An Integrated Methodology for Calibrating a Heterogeneous/Fractured Reservoir Model From Wellbore Flow Measurements: Case Study." SPE Reservoir Evaluation & Engineering 12, no. 03 (May 31, 2009): 433–45. http://dx.doi.org/10.2118/113528-pa.

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Summary Reliable flow modeling of highly heterogeneous/fractured reservoirs necessarily goes through the calibration of poorly determined geological and/or petrophysical parameters to field flow measurements. To that end, optimization procedures based on gradient methods or on gradual-deformation techniques have been developed in recent years. This paper proposes a sequential method combining those two approaches. The case under consideration is a water-bearing reservoir constituted of heterogeneous, karstic and fractured limestones located near Poitiers, France. In a preliminary step, drillin

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Katanov, Yu E. "Neural network model of the wells' drilling speed and modes predicting in complex reservoirs." Oil and Gas Studies, no. 1 (March 19, 2021): 55–76. http://dx.doi.org/10.31660/0445-0108-2021-1-55-76.

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The article considers the problem connected with the study of well drilling rates in complex reservoirs. Its solution is presented in the form of a neural network model that takes into account the structural, geomechanical and technological features of the «rock mass — well» system.The possibility of predicting the well drilling method with different strength and structural-lithological characteristics of the massif, based on neural network modeling, is presented.The purpose of this study is to obtain mathematical models for analysis of the probabilistic and statistical patterns of well drilli

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Li, Quan Hou, Chun Yu Zhang, and Yuan Feng Zhang. "Applications of Research and Development of Logging in Oil-Field Visualization." Applied Mechanics and Materials 340 (July 2013): 867–70. http://dx.doi.org/10.4028/www.scientific.net/amm.340.867.

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The research of visualization will be carried out in the aspects of parameters distribution, dynamic history matching and geological models and numerical simulation of reservoirs respectively. In terms of the research on reservoir parameters, we can improve the accuracy of the prediction through comparing, analyzing and modeling the data of old wells and the secondary explained data. As to dynamic history matching and numerical simulation, by combination of dynamic and statistic methods, we can modify the deficiency of the traditional method. As for geological modeling, we can utilize the char

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Paolino, Donatella, Andra Tudose, Christian Celia, Luisa Di Marzio, Felisa Cilurzo, and Constantin Mircioiu. "Mathematical Models as Tools to Predict the Release Kinetic of Fluorescein from Lyotropic Colloidal Liquid Crystals." Materials 12, no. 5 (February 26, 2019): 693. http://dx.doi.org/10.3390/ma12050693.

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In this study, we investigated the release kinetic of fluorescein from colloidal liquid crystals made from monoglyceride and different non-ionic surfactants. The crystals were physicochemically characterized and the release experiments were carried out under the sink conditions, while mathematical models were described as extrapolations from solutions of the diffusion equation, in different initial and boundary conditions imposed by pharmaceutical formulations. The diffusion equation was solved using Laplace and Fourier transformed functions for release kinetics from infinite reservoirs in a s

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Ho, Thong Chi, Ngo Van Dau, Giang Song Le, and Oanh Thi Phi Tran. "Mathematical model in assesment of saltwater intrusion in Saigon – Dong Nai river system (Southern Vietnam) due to sea level rise." Science and Technology Development Journal 17, no. 3 (September 30, 2014): 94–102. http://dx.doi.org/10.32508/stdj.v17i3.1486.

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SaiGon –DongNai (SG-DN) river system plays a vital role in developing the southern key economic triangle including Ho Chi Minh City, DongNai and BinhDuong provinces. Saltwater intrusion results from many factors and complex movements in SG–DN river system, in the midst of which are sea level rise and water regulation of upstream reservoirs. Theses causes have gradually changed the hydraulic regimes of the river system. As a result, saltwater intrusion has become seriously. In this article, the authors used mathematical models to investigate the change of saltwater boundary of the river system

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Han, Lili, Yanyan Li, Wei Hu, Siyu Wei, Wei Wang, Fengyan Zhang, and Ye Wang. "Numerical Study on Hydraulic Fracture Propagation in a Layered Continental Shale Reservoir." Energies 15, no. 23 (November 23, 2022): 8840. http://dx.doi.org/10.3390/en15238840.

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The distribution of beddings varies greatly in shale reservoirs. The influence of beddings on hydraulic fracture propagation has often been studied using simplified geological models, i.e., uniformly distributed bedding models. However, the propagation processes of hydraulic fractures in shale reservoirs with complicated distributed beddings remains unclear. In this research, an outcrop-data-based bedding model of a continental shale formation in the Ordos Basin, China, is built. A mathematical model for fracture propagation is built using the discrete element method and is then verified by a

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Wood, Derek J., Larry W. Lake, Russell T. Johns, and Vanessa Nunez. "A Screening Model for CO2 Flooding and Storage in Gulf Coast Reservoirs Based on Dimensionless Groups." SPE Reservoir Evaluation & Engineering 11, no. 03 (June 1, 2008): 513–20. http://dx.doi.org/10.2118/100021-pa.

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Summary Concerns over global warming have led to interest in removing greenhouse gases, specifically CO2, from the atmosphere. Sequestration of CO2 in oil reservoirs as part of enhanced oil recovery (EOR) projects is one method that is being considered. This paper first presents the scaling groups necessary to describe CO2 flooding for a typical line-drive pattern and then uses these groups in a Box-Behnken experimental design to create a screening model most applicable to candidate Gulf Coast reservoirs (Box and Behnken 1960). By generating oil recovery and CO2 storage curves, the model estim

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