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1

Li, Chunding. Rebalancing and the Chinese vat: Some numerical simulation results. National Bureau of Economic Research, 2011.

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2

Mazo, Aleksandr, and Konstantin Potashev. The superelements. Modeling of oil fields development. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1043236.

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This monograph presents the basics of super-element modeling method of two-phase fluid flows occurring during the development of oil reservoir. The simulation is performed in two stages to reduce the spatial and temporal scales of the studied processes. In the first stage of modeling of development of oil deposits built long-term (for decades) the model of the global dynamics of the flooding on the super-element computational grid with a step equal to the average distance between wells (200-500 m). Local filtration flow, caused by the action of geological and technical methods of stimulation, are modeled in the second stage using a special mathematical models using computational grids with high resolution detail for the space of from 0.1 to 10 m and time — from 102 to 105 C.
 The results of application of the presented models to the solution of practical tasks of development of oil reservoir. Special attention is paid to the issue of value transfer in filtration-capacitive properties of the reservoir, with a detailed grid of the geological model on the larger grid reservoir models.
 Designed for professionals in the field of mathematical and numerical modeling of fluid flows occurring during the development of oil fields and using traditional commercial software packages, as well as developing their own software. May be of interest to undergraduate and graduate students studying in areas such as "Mechanics and mathematical modeling", "Applied mathematics", "Oil and gas".
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3

CNRS-DFG Workshop on Numerical Flow Simulation (6th 1997 Marseilles, France). Numerical flow simulation I: CNRS-DFG collaborative research programme, results, 1996-1998. Vieweg, 1998.

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4

Hirschel, Ernst Heinrich. Numerical Flow Simulation III: CNRS-DFG Collaborative Research Programme Results 2000-2002. Springer Berlin Heidelberg, 2003.

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5

Joint CNRS-DFG Workshop on Numerical Flow Simulation (9th 2002 Nice, France). Numerical flow simulation III: CNRS-DFG collaborative research programme, results 2000-2002. Edited by Hirschel Ernst-Heinrich. Springer, 2003.

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6

Hirschel, Ernst-Heinrich. Numerical flow simulation II: CNRS-DFG collaborative research programme results 1998-2000. Springer, 2001.

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7

Ernst-Heinrich, Hirschel, Deutsche Forschungsgemeinschaft, Centre national de la recherche scientifique (France), and CNRS-DFG Colloquium on Numerical Flow Simulation (8th : 1999 : Berlin, Germany), eds. Numerical flow simulation II: CNRS-DFG collaborative research programme, results 1998-2000. Springer, 2001.

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8

W, Ambrosini, U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research., Autoridad Regulatoria Nuclear (Argentina), and Università di Pisa. Dipartimento di costruzioni meccaniche e nucleari., eds. Verification of RELAP5/MOD 3 with theoretical and numerical stability results on single-phase, natural circulation in a simple loop. Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1999.

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9

W, Ambrosini, U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research, Autoridad Regulatoria Nuclear (Argentina), and Università di Pisa. Dipartimento di costruzioni meccaniche e nucleari, eds. Verification of RELAP5/MOD 3 with theoretical and numerical stability results on single-phase, natural circulation in a simple loop. Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1999.

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10

Whalley, John. State-owned enterprise behaviour responses to trade reforms: Some analytics and numerical simulation results using Chinese data. National Bureau of Economic Research, 2006.

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11

Institute for Computer Applications in Science and Engineering. and United States. National Aeronautics and Space Administration., eds. Some results relevant to statistical closures for compressible turbulence. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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12

Sheets, Rodney A. Ground-water modeling of pumping effects near regional ground-water divides and river/aquifer systems in the Great Lakes Basin--results and implications of numerical experiments. U.S. Geological Survey, 2005.

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13

Franke, O. Lehn. The effects of boundary conditions on the steady-state response of three hypothetical ground-water systems--results and implications of numerical experiments. U.S. Geological Survey, 1987.

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14

Franke, O. Lehn. The effects of boundary conditions on the steady-state response of three hypothetical ground-water systems--results and implications of numerical experiments. U.S. G.P.O., 1987.

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15

Eisfeld, Bernhard. Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics: Results of the German collaborative project MUNA. Springer Berlin Heidelberg, 2013.

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16

STAB/DGLR Symposium (14th 2004 Bremen, Germany). New results in numerical and experimental fluid mechanics V: Contributions to the 14th STAB/DGLR Symposium, Bremen, Germany, 2004. Edited by Breitsamter Christian 1962-. Springer-Verlag, 2006.

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17

Boerstoel, J. W. Progress report of the development of a system for the numerical simulation of Euler flows, with results of preliminary 3D propeller-slipstream/exhaust-jet calculations. National Aerospace Laboratory, 1988.

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18

Murray, Dryer, and Space Environment Laboratory, eds. The interplanetary shock propagation model: A model for predicting solar-flare-caused geomagnetic storms, based on the 2 1/2 D, MHD numerical simulation results from the interplanetary global model (2D IGM). National Oceanic and Atmospheric Administration, Environmental Research Laboratories, Space Environment Laboratory ; Springfield, VA, 1995.

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19

Murray, Dryer, and Space Environment Laboratory, eds. The interplanetary shock propagation model: A model for predicting solar-flare-caused geomagnetic storms, based on the 2 1/2 D, MHD numerical simulation results from the interplanetary global model (2D IGM). National Oceanic and Atmospheric Administration, Environmental Research Laboratories, Space Environment Laboratory ; Springfield, VA, 1995.

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20

Murray, Dryer, and Space Environment Laboratory, eds. The interplanetary shock propagation model: A model for predicting solar-flare-caused geomagnetic storms, based on the 2 1/2 D, MHD numerical simulation results from the interplanetary global model (2D IGM). National Oceanic and Atmospheric Administration, Environmental Research Laboratories, Space Environment Laboratory ; Springfield, VA, 1995.

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21

Norbert, Kroll, and Fassbender Jens K, eds. MEGAFLOW - numerical flow simulation for aircraft design: Results of the second phase of the German CFD initiative MEGAFLOW, presented during its closing symposium at DLR, Braunschweig, Germany, December 10 and 11, 2002. Springer, 2005.

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22

Beer, Gernot. Advanced Numerical Simulation Methods: From CAD Data Directly to Simulation Results. Taylor & Francis Group, 2015.

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23

Beer, Gernot. Advanced Numerical Simulation Methods: From CAD Data Directly to Simulation Results. Taylor & Francis Group, 2015.

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24

Beer, Gernot. Advanced Numerical Simulation Methods: From CAD Data Directly to Simulation Results. Taylor & Francis Group, 2015.

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25

Beer, Gernot. Advanced Numerical Simulation Methods: From CAD Data Directly to Simulation Results. Taylor & Francis Group, 2015.

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26

Beer, Gernot. Advanced Numerical Simulation Methods: From CAD Data Directly to Simulation Results. Taylor & Francis Group, 2015.

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27

Advanced Numerical Simulation Methods: From CAD Data Directly to Simulation Results. Taylor & Francis Group, 2015.

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28

CNRS-DFG Workshop on Numerical Flow Simulation (6th 1997 Marseilles, France). Numerical flow simulation I: CNRS-DFG collaborative research programme, results, 1996-1998. 1998.

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29

Hirschel, Ernst H. Numerical Flow Simulation II: CNRS-DFG Collaborative Research Programme Results 1998 - 2000 (Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM)). Springer, 2001.

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30

(Editor), Christian Breitsamter, and Ernst H. Hirschel (Editor), eds. Numerical Flow Simulation I: CNRS-DFG Collaborative Research Programme, Results 1996-1998 (Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM)). Springer, 2001.

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31

John, Volker. Large Eddy Simulation of Turbulent Incompressible Flows: Analytical and Numerical Results for a Class of les Models. Springer London, Limited, 2012.

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32

Numerical Simulation Of Turbulent Flows And Noise Generation Results Of The Dfgcnrs Research Groups For 507 And For 508. Springer, 2009.

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33

Brun, Christophe, Michael Manhart, Claus-Dieter Munz, W. Schröder, and Daniel Juvé. Numerical Simulation of Turbulent Flows and Noise Generation: Results of the DFG/CNRS Research Groups for 507 and For 508. Springer London, Limited, 2009.

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34

Brun, Christophe, Michael Manhart, Claus-Dieter Munz, W. Schröder, and Daniel Juvé. Numerical Simulation of Turbulent Flows and Noise Generation: Results of the DFG/CNRS Research Groups FOR 507 and FOR 508. Springer, 2010.

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35

Eisfeld, Bernhard, Holger Barnewitz, and Willy Fritz. Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics: Results of the German collaborative project MUNA. Springer, 2013.

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36

Thiele, Frank, Bernhard Eisfeld, Holger Barnewitz, and Willy Fritz. Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics: Results of the German collaborative project MUNA. Springer, 2013.

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37

Thiele, Frank, Bernhard Eisfeld, Holger Barnewitz, and Willy Fritz. Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics: Results of the German collaborative project MUNA. Springer, 2015.

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38

Large Eddy Simulation of Turbulent Incompressible Flows: Analytical and Numerical Results for a Class of LES Models (Lecture Notes in Computational Science and Engineering). Springer, 2003.

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39

Ertekin, Turgay, Jamal H. Abou-Kassem, and Gregory R. King. Basic Applied Reservoir Simulation. Society of Petroleum Engineers, 2001. http://dx.doi.org/10.2118/9781555630898.

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Reservoir engineers benefit from a good understanding of reservoir simulation. While most engineers rely on commercial software packages for the calculations, it can be impossible to evaluate the validity of results without a solid foundation in the underlying principles. Basic Applied Reservoir Simulation provides comprehensive coverage of simulation. It begins with the fundamentals of numerical simulation, moving to field applications and more complex topics. Each chapter includes a project section that relates to the implementation of the topics discussed in that chapter. Includes 157 solved examples and 178 exercises.
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40

Fassbender, Jens K., and Norbert Kroll. MEGAFLOW - Numerical Flow Simulation for Aircraft Design: Results of the Second Phase of the German CFD Initiative MEGAFLOW, Presented During Its Closing Symposium at DLR, Braunschweig, Germany, December 10 And 11 2002. Springer London, Limited, 2006.

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41

Lie, Knut-Andreas, and Olav Møyner, eds. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox. Cambridge University Press, 2021. http://dx.doi.org/10.1017/9781009019781.

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Many leading experts contribute to this follow-up to An Introduction to Reservoir Simulation using MATLAB/GNU Octave: User Guide for the MATLAB Reservoir Simulation Toolbox (MRST). It introduces more advanced functionality that has been recently added to the open-source MRST software. It is however a self-contained introduction to a variety of modern numerical methods for simulating multiphase flow in porous media, with applications to geothermal energy, chemical enhanced oil recovery (EOR), flow in fractured and unconventional reservoirs, and in the unsaturated zone. The reader will learn how to implement new models and algorithms in a robust, efficient manner. A large number of numerical examples are included, all fully equipped with code and data so that the reader can reproduce the results and use them as a starting point for their own work. Like the original textbook, this book will prove invaluable for researchers, professionals and advanced students using reservoir simulation methods.
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42

Fehr, Hans, and Fabian Kindermann. Introduction to Computational Economics Using Fortran. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804390.001.0001.

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Introduction to Computational Economics Using Fortran is the essential guide to conducting economic research on a computer. Aimed at students of all levels of education as well as advanced economic researchers, it facilitates the first steps into writing programs using Fortran. Introduction to Computational Economics Using Fortran assumes no prior experience as it introduces the reader to this programming language. It shows the reader how to apply the most important numerical methods conducted by computational economists using the toolbox that accompanies this text. It offers various examples from economics and finance organized in self-contained chapters that speak to a diverse range of levels and academic backgrounds. Each topic is supported by an explanation of the theoretical background, a demonstration of how to implement the problem on the computer, and a discussion of simulation results. Readers can work through various exercises that promote practical experience and deepen their economic and technical insights. This textbook is accompanied by a website from which readers can download all program codes as well as a numerical toolbox, and receive technical information on how to install Fortran on their computer.
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43

Bartkowicz, Leszek. Tekstura drzewostanów naturalnych w polskich parkach narodowych na tle teorii dynamiki lasu. Publishing House of the University of Agriculture in Krakow, 2021. http://dx.doi.org/10.15576/978-83-66602-20-5.

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The aim of the study was to compare a patch-mosaic pattern in the old-growth forest stands developed in various climate and soil conditions occurring in different regions of Poland. Based on the assumption, that the patch-mosaic pattern in the forest reflect the dynamic processes taking place in it, and that each type of forest ecosystem is characterized by a specific regime of natural disturbances, the following hypotheses were formulated: (i) the patches with a complex structure in stands composed of latesuccessional, shade-tolerant tree species are more common than those composed of early-successional, light-demanding ones, (ii) the patch-mosaic pattern is more heterogeneous in optimal forest site conditions than in extreme ones, (iii) in similar site conditions differentiation of the stand structure in distinguished patches is determined by the successional status of the tree species forming a given patch, (iv) the successional trends leading to changes of species composition foster diversification of the patch structure, (v) differentiation of the stand structure is negatively related to their local basal area, especially in patches with a high level of its accumulation. Among the best-preserved old-growth forest remaining under strict protection in the Polish national parks, nineteen research plots of around 10 ha each were selected. In each plot, a grid (50 × 50 m) of circular sample subplots (with radius 12,62 m) was established. In the sample subplots, species and diameter at breast height of living trees (dbh ≥ 7 cm) were determined. Subsequently, for each sample subplot, several numerical indices were calculated: local basal area (G), dbh structure differentiation index (STR), climax index (CL) and successional index (MS). Statistical tests of Kruskal- Wallis, Levene and Generalized Additive Models (GAM) were used to verify the hypotheses. All examined forests were characterized by a large diversity of stand structure. A particularly high frequency of highly differentiated patches (STR > 0,6) was recorded in the alder swamp forest. The patch mosaic in the examined plots was different – apart from the stands with a strongly pronounced mosaic character (especially subalpine spruce forests), there were also stands with high spatial homogeneity (mainly fir forests). The stand structure in the distinguished patches was generally poorly related to the other studied features. Consequently, all hypotheses were rejected. These results indicate a very complex, mixed pattern of forest natural dynamics regardless of site conditions. In beech forests and lowland multi-species deciduous forests, small-scale disturbances of the gap dynamics type dominate, which are overlapped with less frequent medium-scale disturbances. In more difficult site conditions, large-scale catastrophic disturbances, which occasionally appear in communities formed under the influence of gap dynamics (mainly spruce forests) or cohort dynamics (mainly pine forests), gain importance.
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44

Sobczyk, Eugeniusz Jacek. Uciążliwość eksploatacji złóż węgla kamiennego wynikająca z warunków geologicznych i górniczych. Instytut Gospodarki Surowcami Mineralnymi i Energią PAN, 2022. http://dx.doi.org/10.33223/onermin/0222.

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Hard coal mining is characterised by features that pose numerous challenges to its current operations and cause strategic and operational problems in planning its development. The most important of these include the high capital intensity of mining investment projects and the dynamically changing environment in which the sector operates, while the long-term role of the sector is dependent on factors originating at both national and international level. At the same time, the conditions for coal mining are deteriorating, the resources more readily available in active mines are being exhausted, mining depths are increasing, temperature levels in pits are rising, transport routes for staff and materials are getting longer, effective working time is decreasing, natural hazards are increasing, and seams with an increasing content of waste rock are being mined. The mining industry is currently in a very difficult situation, both in technical (mining) and economic terms. It cannot be ignored, however, that the difficult financial situation of Polish mining companies is largely exacerbated by their high operating costs. The cost of obtaining coal and its price are two key elements that determine the level of efficiency of Polish mines. This situation could be improved by streamlining the planning processes. This would involve striving for production planning that is as predictable as possible and, on the other hand, economically efficient. In this respect, it is helpful to plan the production from operating longwalls with full awareness of the complexity of geological and mining conditions and the resulting economic consequences. The constraints on increasing the efficiency of the mining process are due to the technical potential of the mining process, organisational factors and, above all, geological and mining conditions. The main objective of the monograph is to identify relations between geological and mining parameters and the level of longwall mining costs, and their daily output. In view of the above, it was assumed that it was possible to present the relationship between the costs of longwall mining and the daily coal output from a longwall as a function of onerous geological and mining factors. The monograph presents two models of onerous geological and mining conditions, including natural hazards, deposit (seam) parameters, mining (technical) parameters and environmental factors. The models were used to calculate two onerousness indicators, Wue and WUt, which synthetically define the level of impact of onerous geological and mining conditions on the mining process in relation to: —— operating costs at longwall faces – indicator WUe, —— daily longwall mining output – indicator WUt. In the next research step, the analysis of direct relationships of selected geological and mining factors with longwall costs and the mining output level was conducted. For this purpose, two statistical models were built for the following dependent variables: unit operating cost (Model 1) and daily longwall mining output (Model 2). The models served two additional sub-objectives: interpretation of the influence of independent variables on dependent variables and point forecasting. The models were also used for forecasting purposes. Statistical models were built on the basis of historical production results of selected seven Polish mines. On the basis of variability of geological and mining conditions at 120 longwalls, the influence of individual parameters on longwall mining between 2010 and 2019 was determined. The identified relationships made it possible to formulate numerical forecast of unit production cost and daily longwall mining output in relation to the level of expected onerousness. The projection period was assumed to be 2020–2030. On this basis, an opinion was formulated on the forecast of the expected unit production costs and the output of the 259 longwalls planned to be mined at these mines. A procedure scheme was developed using the following methods: 1) Analytic Hierarchy Process (AHP) – mathematical multi-criteria decision-making method, 2) comparative multivariate analysis, 3) regression analysis, 4) Monte Carlo simulation. The utilitarian purpose of the monograph is to provide the research community with the concept of building models that can be used to solve real decision-making problems during longwall planning in hard coal mines. The layout of the monograph, consisting of an introduction, eight main sections and a conclusion, follows the objectives set out above. Section One presents the methodology used to assess the impact of onerous geological and mining conditions on the mining process. Multi-Criteria Decision Analysis (MCDA) is reviewed and basic definitions used in the following part of the paper are introduced. The section includes a description of AHP which was used in the presented analysis. Individual factors resulting from natural hazards, from the geological structure of the deposit (seam), from limitations caused by technical requirements, from the impact of mining on the environment, which affect the mining process, are described exhaustively in Section Two. Sections Three and Four present the construction of two hierarchical models of geological and mining conditions onerousness: the first in the context of extraction costs and the second in relation to daily longwall mining. The procedure for valuing the importance of their components by a group of experts (pairwise comparison of criteria and sub-criteria on the basis of Saaty’s 9-point comparison scale) is presented. The AHP method is very sensitive to even small changes in the value of the comparison matrix. In order to determine the stability of the valuation of both onerousness models, a sensitivity analysis was carried out, which is described in detail in Section Five. Section Six is devoted to the issue of constructing aggregate indices, WUe and WUt, which synthetically measure the impact of onerous geological and mining conditions on the mining process in individual longwalls and allow for a linear ordering of longwalls according to increasing levels of onerousness. Section Seven opens the research part of the work, which analyses the results of the developed models and indicators in individual mines. A detailed analysis is presented of the assessment of the impact of onerous mining conditions on mining costs in selected seams of the analysed mines, and in the case of the impact of onerous mining on daily longwall mining output, the variability of this process in individual fields (lots) of the mines is characterised. Section Eight presents the regression equations for the dependence of the costs and level of extraction on the aggregated onerousness indicators, WUe and WUt. The regression models f(KJC_N) and f(W) developed in this way are used to forecast the unit mining costs and daily output of the designed longwalls in the context of diversified geological and mining conditions. The use of regression models is of great practical importance. It makes it possible to approximate unit costs and daily output for newly designed longwall workings. The use of this knowledge may significantly improve the quality of planning processes and the effectiveness of the mining process.
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