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Mathematical Models For Poroelastic Flows


Mathematical Models For Poroelastic Flows
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Mathematical Models For Poroelastic Flows


Mathematical Models For Poroelastic Flows
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Author : Anvarbek Meirmanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-29

Mathematical Models For Poroelastic Flows written by Anvarbek Meirmanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-29 with Mathematics categories.


The book is devoted to rigorous derivation of macroscopic mathematical models as a homogenization of exact mathematical models at the microscopic level. The idea is quite natural: one first must describe the joint motion of the elastic skeleton and the fluid in pores at the microscopic level by means of classical continuum mechanics, and then use homogenization to find appropriate approximation models (homogenized equations). The Navier-Stokes equations still hold at this scale of the pore size in the order of 5 – 15 microns. Thus, as we have mentioned above, the macroscopic mathematical models obtained are still within the limits of physical applicability. These mathematical models describe different physical processes of liquid filtration and acoustics in poroelastic media, such as isothermal or non-isothermal filtration, hydraulic shock, isothermal or non-isothermal acoustics, diffusion-convection, filtration and acoustics in composite media or in porous fractured reservoirs. Our research is based upon the Nguetseng two-scale convergent method.



Mathematical Modelling Of Flow Through Porous Media Proceedings Of The Conference


Mathematical Modelling Of Flow Through Porous Media Proceedings Of The Conference
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Author : Alain P Bourgeat
language : en
Publisher: World Scientific
Release Date : 1995-11-30

Mathematical Modelling Of Flow Through Porous Media Proceedings Of The Conference written by Alain P Bourgeat and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-30 with categories.


This proceedings volume contains contributions from leading scientists working on modelling and numerical simulation of flows through porous media and on mathematical analysis of the equations associated to the modelling. There is a number of contributions on rigorous results for stochastic media and for applications to numerical simulations. Modelling and simulation of environment and pollution are also subject of several papers. The published material herein gives an insight to the state of the art in the field with special attention for rigorous discussions and results.



Physical And Mathematical Modeling Of Earth And Environment Processes 2018


Physical And Mathematical Modeling Of Earth And Environment Processes 2018
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Author : V. I. Karev
language : en
Publisher: Springer
Release Date : 2019-03-24

Physical And Mathematical Modeling Of Earth And Environment Processes 2018 written by V. I. Karev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-24 with Science categories.


This book entitled "Physical and Mathematical Modeling of Earth and Environment Processes" is the result of a collaborative work after the 4th international scientific youth forum held at the IPMech RAS on November 1–3, 2018. The book includes theoretical and experimental studies of processes in the atmosphere, oceans, the lithosphere and their interaction; environmental issues; problems of human impact on the environment; methods of geophysical research. A special focus is given to the extraction of hydrocarbon resources, including unconventional sources. This book also focuses on new approaches to the development of hydrocarbon fields, very important in today's geopolitical conditions. The book presents new results of the experimental and theoretical modeling of deformation, fracture and filtration processes in the rocks in connection with issues of creating scientific fundamentals for new hydrocarbon production technologies.



Water Resource Modeling And Computational Technologies


Water Resource Modeling And Computational Technologies
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Author : Mohammad Zakwan
language : en
Publisher: Elsevier
Release Date : 2022-10-22

Water Resource Modeling And Computational Technologies written by Mohammad Zakwan and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-22 with Science categories.


Water Resource Modeling and Computational Technologies, Seventh Edition provides the reader with a comprehensive overview of the applications that computational techniques have in various sectors of water resource engineering. The book explores applications of recent modeling and computational techniques in various sectors of water resource engineering, including hydroinformatics, irrigation engineering, climate change, hydrologic forecasting, floods, droughts, image processing, GIS, water quality, aquifer mapping, basin scale modeling, computational fluid dynamics, numerical modeling of surges and groundwater flow, river engineering, optimal reservoir operation, multipurpose projects, and water resource management. As such, this is a must read for hydrologists, civil engineers and water resource managers. - Presents contributed chapters from global experts in the field of water resources from both a science and engineering perspective - Includes case studies throughout, providing readers with an opportunity to understand how case specific challenges can help with computational techniques - Provides basic concepts as well as a literature review on the application of computational techniques in various sectors of water resources



Advances In Critical Flow Dynamics Involving Moving Deformable Structures With Design Applications


Advances In Critical Flow Dynamics Involving Moving Deformable Structures With Design Applications
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Author : Marianna Braza
language : en
Publisher: Springer Nature
Release Date : 2021-02-10

Advances In Critical Flow Dynamics Involving Moving Deformable Structures With Design Applications written by Marianna Braza and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-10 with Technology & Engineering categories.


This book reports on the latest knowledge concerning critical phenomena arising in fluid-structure interaction due to movement and/or deformation of bodies. The focus of the book is on reporting progress in understanding turbulence and flow control to improve aerodynamic / hydrodynamic performance by reducing drag, increasing lift or thrust and reducing noise under critical conditions that may result in massive separation, strong vortex dynamics, amplification of harmful instabilities (flutter, buffet), and flow -induced vibrations. Theory together with large-scale simulations and experiments have revealed new features of turbulent flow in the boundary layer over bodies and in thin shear layers immediately downstream of separation. New insights into turbulent flow interacting with actively deformable structures, leading to new ways of adapting and controlling the body shape and vibrations to respond to these critical conditions, are investigated. The book covers new features of turbulent flows in boundary layers over wings and in shear layers immediately downstream: studies of natural and artificially generated fluctuations; reduction of noise and drag; and electromechanical conversion topics. Smart actuators as well as how smart designs lead to considerable benefits compared with conventional methods are also extensively discussed. Based on contributions presented at the IUTAM Symposium “Critical Flow Dynamics involving Moving/Deformable Structures with Design applications”, held in June 18-22, 2018, in Santorini, Greece, the book provides readers with extensive information about current theories, methods and challenges in flow and turbulence control, and practical knowledge about how to use this information together with smart and bio-inspired design tools to improve aerodynamic and hydrodynamic design and safety.



Mathematical Modeling And Soft Computing In Epidemiology


Mathematical Modeling And Soft Computing In Epidemiology
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Author : Jyoti Mishra
language : en
Publisher: CRC Press
Release Date : 2020-12-28

Mathematical Modeling And Soft Computing In Epidemiology written by Jyoti Mishra and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-28 with Mathematics categories.


This book describes the uses of different mathematical modeling and soft computing techniques used in epidemiology for experiential research in projects such as how infectious diseases progress to show the likely outcome of an epidemic, and to contribute to public health interventions. This book covers mathematical modeling and soft computing techniques used to study the spread of diseases, predict the future course of an outbreak, and evaluate epidemic control strategies. This book explores the applications covering numerical and analytical solutions, presents basic and advanced concepts for beginners and industry professionals, and incorporates the latest methodologies and challenges using mathematical modeling and soft computing techniques in epidemiology. Primary users of this book include researchers, academicians, postgraduate students, and specialists.



A Method Of Fundamental Solutions In Poroelasticity To Model The Stress Field In Geothermal Reservoirs


A Method Of Fundamental Solutions In Poroelasticity To Model The Stress Field In Geothermal Reservoirs
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Author : Matthias Albert Augustin
language : en
Publisher: Birkhäuser
Release Date : 2015-07-15

A Method Of Fundamental Solutions In Poroelasticity To Model The Stress Field In Geothermal Reservoirs written by Matthias Albert Augustin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-15 with Mathematics categories.


This monograph focuses on the numerical methods needed in the context of developing a reliable simulation tool to promote the use of renewable energy. One very promising source of energy is the heat stored in the Earth’s crust, which is harnessed by so-called geothermal facilities. Scientists from fields like geology, geo-engineering, geophysics and especially geomathematics are called upon to help make geothermics a reliable and safe energy production method. One of the challenges they face involves modeling the mechanical stresses at work in a reservoir. The aim of this thesis is to develop a numerical solution scheme by means of which the fluid pressure and rock stresses in a geothermal reservoir can be determined prior to well drilling and during production. For this purpose, the method should (i) include poroelastic effects, (ii) provide a means of including thermoelastic effects, (iii) be inexpensive in terms of memory and computational power, and (iv) be flexible with regard to the locations of data points. After introducing the basic equations and their relations to more familiar ones (the heat equation, Stokes equations, Cauchy-Navier equation), the “method of fundamental solutions” and its potential value concerning our task are discussed. Based on the properties of the fundamental solutions, theoretical results are established and numerical examples of stress field simulations are presented to assess the method’s performance. The first-ever 3D graphics calculated for these topics, which neither requiring meshing of the domain nor involving a time-stepping scheme, make this a pioneering volume.



Mathematics And Its Applications In New Computer Systems


Mathematics And Its Applications In New Computer Systems
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Author : Andrei Tchernykh
language : en
Publisher: Springer Nature
Release Date : 2022-04-25

Mathematics And Its Applications In New Computer Systems written by Andrei Tchernykh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-25 with Computers categories.


This book is based on the best papers accepted for presentation during the International Conference on Mathematics and its Applications in New Computer Systems (MANCS-2021), Russia. The book includes research materials on modern mathematical problems, solutions in the field of cryptography, data analysis and modular computing, as well as scientific computing. The scope of numerical methods in scientific computing presents original research, including mathematical models and software implementations, related to the following topics: numerical methods in scientific computing; solving optimization problems; methods for approximating functions, etc. The studies in mathematical solutions to cryptography issues are devoted to secret sharing schemes, public key systems, private key systems, n-degree comparisons, modular arithmetic of simple, addition of points of an elliptic curve, Hasse theorem, homomorphic encryption and learning with error, and modifications of the RSA system. Furthermore, issues in data analysis and modular computing include contributions in the field of mathematical statistics, machine learning methods, deep learning, and neural networks. Finally, the book gives insights into the fundamental problems in mathematics education. The book intends for readership specializing in the field of cryptography, information security, parallel computing, computer technology, and mathematical education.



Numerical Mathematics And Advanced Applications Enumath 2019


Numerical Mathematics And Advanced Applications Enumath 2019
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Author : Fred J. Vermolen
language : en
Publisher: Springer Nature
Release Date : 2021-04-30

Numerical Mathematics And Advanced Applications Enumath 2019 written by Fred J. Vermolen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-30 with Mathematics categories.


This book gathers outstanding papers presented at the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2019). The conference was organized by Delft University of Technology and was held in Egmond aan Zee, the Netherlands, from September 30 to October 4, 2019. Leading experts in the field presented the latest results and ideas regarding the design, implementation and analysis of numerical algorithms, as well as their applications to relevant societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications, all examined at the highest level of international expertise. The first ENUMATH was held in Paris in 1995, with successive installments at various sites across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), Ankara (2015) and Bergen (2017).



Finite Volumes For Complex Applications Ix Methods Theoretical Aspects Examples


Finite Volumes For Complex Applications Ix Methods Theoretical Aspects Examples
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Author : Robert Klöfkorn
language : en
Publisher: Springer Nature
Release Date : 2020-06-09

Finite Volumes For Complex Applications Ix Methods Theoretical Aspects Examples written by Robert Klöfkorn and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-09 with Computers categories.


The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.