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Mathematical Modeling of Carbon Dioxide Injectioninto a Reservoir with Methane and Water Takinginto Account the Formation of Carbon Dioxide Hydrate 考虑到二氧化碳水合物形成的甲烷和水储层二氧化碳注入的数学模型
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-07-11 DOI: 10.1134/S1990478924040100
N. G. Musakaev, S. L. Borodin
{"title":"Mathematical Modeling of Carbon Dioxide Injection\u0000into a Reservoir with Methane and Water Taking\u0000into Account the Formation of Carbon Dioxide Hydrate","authors":"N. G. Musakaev,&nbsp;S. L. Borodin","doi":"10.1134/S1990478924040100","DOIUrl":"10.1134/S1990478924040100","url":null,"abstract":"<p> An increase in the concentration of carbon dioxide in the atmosphere caused by the\u0000combustion of fuels has a negative impact on the current biosphere of the Earth. One way to get\u0000rid of excess carbon dioxide in the atmosphere is to capture and store it. Various methods for\u0000long-term storage of carbon dioxide are proposed, including in various geological formations in gas\u0000hydrate form, since gas hydrates have a number of unique properties, for example, it is possible to\u0000stably store a sufficiently large amount of gas in a small volume at a relatively low pressure. One\u0000of the objects for creating underground carbon dioxide storage facilities are depleted natural gas\u0000deposits, since they are well studied, the characteristics of the deposits, their geometric dimensions\u0000are known, and there are drilled wells. To study the patterns of the formation process of an\u0000underground gas hydrate carbon dioxide storage, the article presents a mathematical model of the\u0000process of carbon dioxide injection into a zonally heterogeneous porous reservoir, initially\u0000saturated with methane and water, accompanied by the formation of gas hydrate. Unlike previous\u0000works, the mathematical model additionally takes into account a number of factors: the solubility\u0000of carbon dioxide in water, zonal heterogeneity of a reservoir, heat exchange of the reservoir with\u0000the surrounding rocks impermeable to matter, filtration of water and gas. Numerical solutions of\u0000the problem were constructed to describe the distribution of parameters (pressure, temperature,\u0000carbon dioxide hydrate saturation) in the reservoir.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 4","pages":"744 - 758"},"PeriodicalIF":0.58,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Algorithm to Search for a Solutionto a Production Scheduling Problem 生产调度问题的一种求解算法
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-07-11 DOI: 10.1134/S1990478924040173
N. P. Savenkova, A. Yu. Mokin, A. A. Dryazhenkov, L. A. Artemyeva
{"title":"An Algorithm to Search for a Solution\u0000to a Production Scheduling Problem","authors":"N. P. Savenkova,&nbsp;A. Yu. Mokin,&nbsp;A. A. Dryazhenkov,&nbsp;L. A. Artemyeva","doi":"10.1134/S1990478924040173","DOIUrl":"10.1134/S1990478924040173","url":null,"abstract":"<p> A mathematical model of raw materials processing is proposed. The production consists of\u0000units processing raw materials, storage tanks, and mixing units. The processing units are assumed\u0000to operate in one of two known modes. Switching from one mode to another can be carried out no\u0000more than once. The problem of finding the optimal capacity of production at each of units, as\u0000well as the time of switching units from one operating mode to another is formulated in a form of\u0000discrete optimization problem. The solution of this problem should ensure an achievement of the\u0000specified production plan. A method for its solution is proposed, including a transition to\u0000a convex statement, as well as an algorithm for discretizing the obtained control.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 4","pages":"839 - 849"},"PeriodicalIF":0.58,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of the Dynamics of Solutions for Hybrid DifferenceLotka–Volterra Systems 差分- otka - volterra混合系统解的动力学分析
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-07-11 DOI: 10.1134/S199047892404015X
A. V. Platonov
{"title":"Analysis of the Dynamics of Solutions for Hybrid Difference\u0000Lotka–Volterra Systems","authors":"A. V. Platonov","doi":"10.1134/S199047892404015X","DOIUrl":"10.1134/S199047892404015X","url":null,"abstract":"<p> A difference system of the Lotka–Volterra type is considered. It is assumed that this\u0000system can operate both in some program and perturbed modes. The restrictions on the time of\u0000the system’s stay in these modes, providing the desired dynamical behavior, are investigated. In\u0000particular, the conditions of the ultimate boundedness of solutions and the permanence of the\u0000system are obtained. The direct Lyapunov method is used, and different Lyapunov functions are\u0000constructed in different parts of the state space. The sizes of the domain of permissible initial\u0000values of solutions and the domain of the ultimate bound of solutions corresponding to the\u0000required dynamics of the system are estimated. Constraints are set on the size of the digitization\u0000step of the system.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 4","pages":"812 - 823"},"PeriodicalIF":0.58,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Problem of One Machine with Equal Processing Time andPreemption 具有等处理时间和抢占的一机问题
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030098
K. A. Lyashkova, V. V. Servakh
{"title":"The Problem of One Machine with Equal Processing Time and\u0000Preemption","authors":"K. A. Lyashkova,&nbsp;V. V. Servakh","doi":"10.1134/S1990478924030098","DOIUrl":"10.1134/S1990478924030098","url":null,"abstract":"<p> We consider the problem of minimizing the weighted average execution time of\u0000equal-length jobs performance on one machine at the specified time of job arrival and the\u0000possibility of their interruption. The computational complexity of this problem is currently\u0000unknown. The article proposes an algorithm for preprocessing input data that allows reducing the\u0000problem to a narrower and more regular class of examples. The properties of optimal solutions are\u0000substantiated. Based on them, an algorithm for constructing a finite subset of solutions containing\u0000an optimal schedule has been developed. A parametric analysis of the schedules in this subset has\u0000been carried out that makes it possible to form a subclass of schedules that are optimal at some\u0000values of weights. A polynomially solvable case of the problem is isolated.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"479 - 488"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Extrapolation of Tomographic Images Based on Dataof Multiple Pulsed Probing 基于多脉冲探测数据的层析成像外推
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030189
I. P. Yarovenko, P. A. Vornovskikh, I. V. Prokhorov
{"title":"Extrapolation of Tomographic Images Based on Data\u0000of Multiple Pulsed Probing","authors":"I. P. Yarovenko,&nbsp;P. A. Vornovskikh,&nbsp;I. V. Prokhorov","doi":"10.1134/S1990478924030189","DOIUrl":"10.1134/S1990478924030189","url":null,"abstract":"<p> This paper proposes a new approach to improving image quality in pulsed X-ray\u0000tomography. The method is based on establishing a functional dependence of the reconstructed\u0000images on the duration of the probing pulses and applying an extrapolation procedure. The\u0000numerical experiments demonstrated that the developed algorithm effectively suppresses the\u0000influence of scattered radiation and significantly increases image contrast. The proposed\u0000alternative approach allows substantially increasing the stability of the method even for media\u0000containing strong scattering inhomogeneities and with a significant level of noise in the projection\u0000data. In addition, the algorithm has greater stability to errors in the source data caused by an\u0000increase in the duration of the probing pulses. The numerical experiments confirmed the high\u0000efficiency of the extrapolation tomography algorithm for recovering the internal structure of the\u0000test object.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"583 - 597"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solvability of an Initial–Boundary Value Problemfor a Parabolic Equation with a Time-Nonlocal Termin Hölder spaces 具有时间非局部端点Hölder空间的抛物方程初边值问题的可解性
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030062
A. S. Fomenko
{"title":"Solvability of an Initial–Boundary Value Problem\u0000for a Parabolic Equation with a Time-Nonlocal Term\u0000in Hölder spaces","authors":"A. S. Fomenko","doi":"10.1134/S1990478924030062","DOIUrl":"10.1134/S1990478924030062","url":null,"abstract":"<p> We consider an initial–boundary value problem for a semilinear parabolic differential\u0000equation with a time-nonlocal term. This term contains the integral of the solution over the entire\u0000time interval on which the problem is considered. The solvability of the problem in\u0000Hölder classes is proved. The uniqueness of the solution is established under a constraint\u0000on the length of the time interval over which the solution is integrated in the nonlocal term.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"441 - 447"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Maximum Number of Open Triangles in Graphs withFew Edges 关于少边图中开放三角形的最大数目
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030128
A. V. Pyatkin
{"title":"On the Maximum Number of Open Triangles in Graphs with\u0000Few Edges","authors":"A. V. Pyatkin","doi":"10.1134/S1990478924030128","DOIUrl":"10.1134/S1990478924030128","url":null,"abstract":"<p> A three-vertex subset is called an open triangle (OT) if it induces a subgraph with exactly\u0000two edges. The problem of finding graphs with maximum number of OTs is considered. It is\u0000proved that, in case of sufficiently many vertices, such a graph is unique in the class of graphs\u0000with constant difference between the numbers of edges and vertices.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"516 - 520"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convex Continuations of Some DiscreteFunctions 若干离散函数的凸延拓
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030049
D. N. Barotov
{"title":"Convex Continuations of Some Discrete\u0000Functions","authors":"D. N. Barotov","doi":"10.1134/S1990478924030049","DOIUrl":"10.1134/S1990478924030049","url":null,"abstract":"<p> We construct convex continuations of discrete functions defined on the vertices of the\u0000<span>( n )</span>-dimensional unit cube\u0000<span>( [0,1]^n )</span>, an arbitrary cube\u0000<span>( [a,b]^n )</span>, and a parallelepiped\u0000<span>( [c_1,d_1]times [c_2,d_2]times dots times [c_n,d_n] )</span>. In each of these cases, we constructively prove that, for any discrete function\u0000<span>( f )</span> defined on the vertices of\u0000<span>( mathbb {G} in {[0,1]^n, [a,b]^n, [c_1,d_1]times [c_2,d_2]times dots times [c_n,d_n]} )</span>, first, there exist infinitely many convex continuations to the set\u0000<span>( mathbb {G} )</span>, and second, there exists a unique function\u0000<span>( f_{DM}colon mathbb {G}to mathbb {R} )</span> that is the maximum of convex continuations of\u0000<span>( f )</span> to\u0000<span>( mathbb {G} )</span>. We also show that the function\u0000<span>( f_{DM} )</span> is continuous on\u0000<span>( mathbb {G} )</span>.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"412 - 423"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Influence of Droplet Size on the Breakup InductionPeriod in the Flow behind a Shock Wave 激波后流动中液滴尺寸对破裂诱导期的影响
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030153
A. A. Shebeleva, A. V. Minakov, S. V. Poplavski, V. M. Boyko
{"title":"On the Influence of Droplet Size on the Breakup Induction\u0000Period in the Flow behind a Shock Wave","authors":"A. A. Shebeleva,&nbsp;A. V. Minakov,&nbsp;S. V. Poplavski,&nbsp;V. M. Boyko","doi":"10.1134/S1990478924030153","DOIUrl":"10.1134/S1990478924030153","url":null,"abstract":"<p> In this paper, we computationally study the influence of the initial diameter of a water\u0000droplet on the dynamics and breakup induction period in the flow behind a passing shock wave.\u0000For this purpose, a series of calculations were performed for a fixed Weber number\u0000<span>( mathrm {We} = 400 )</span> and a variable initial diameter\u0000<span>( d = 1.4, 2.8, 5.6 )</span> mm of the water droplet. The numerical technique is based on the VOF\u0000method, the LES model is used to take into account turbulence, and the technology of adapted\u0000dynamic grids is used to describe the behavior of the interfacial boundary at main turbulent\u0000scales; this has made it possible to resolve secondary water droplets up to 20\u0000<span>( mu )</span>m in size. The droplet shape, the flow structure near and in the droplet wake,\u0000and the nature of mass entrainment were investigated. As a result of the calculations, the\u0000dependences of the breakup time on the dimensionless droplet diameter were obtained, the\u0000breakup induction time was determined, and the time constant of droplet interaction with the flow\u0000was calculated to estimate the droplet breakup lag.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"548 - 557"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Conditions for the Well-Posed Solvabilityof a Factorization Problem and a Classof Truncated Wiener–Hopf Equations 一类分解问题及截断Wiener-Hopf方程的适定可解性条件
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030177
A. F. Voronin
{"title":"On Conditions for the Well-Posed Solvability\u0000of a Factorization Problem and a Class\u0000of Truncated Wiener–Hopf Equations","authors":"A. F. Voronin","doi":"10.1134/S1990478924030177","DOIUrl":"10.1134/S1990478924030177","url":null,"abstract":"<p> This paper continues the study of the relationship between the convolution equation of the\u0000second kind on a finite interval\u0000<span>( (0, tau ) )</span> (which is also called the truncated Wiener–Hopf equation) and\u0000a factorization problem (which is also called a vector Riemann–Hilbert boundary value problem or\u0000a vector Riemann boundary value problem). The factorization problem is associated with a family\u0000of truncated Wiener–Hopf equations depending on the parameter\u0000<span>( tau in (0,infty ) )</span>. The well-posed solvability of this family of equations is shown depending on\u0000the existence of a canonical factorization of some matrix function. In addition, various possible\u0000applications of the factorization problem and truncated Wiener–Hopf equations are considered.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"575 - 582"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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