## ＜電子ブック＞A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs

責任表示 by Matthias Albert Augustin Augustin, Matthias Albert SpringerLink (Online service) English (英語) Springer International Publishing Imprint: Birkhäuser 2015- Cham, Germany シリーズ Lecture Notes in Geosystems Mathematics and Computing 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 s...tored 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.続きを見る 1.Introduction2. Preliminaries3. Physical and Mathematical Foundation4. Boundary Layer Potentials in Poroelasticity5. Methods of Fundamental Solutions in Poroelasticity6. Numerical Results7. Conclusion and OutlookA. Fundamental Stresses and Fluid VelocitiesBibliography. Full text available from Springer Mathematics and Statistics eBooks 2015 English/International

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レコードID 3454435 QA370-380 515.353 Differential equations, partial. Numerical analysis. Physical geography. Partial Differential Equations. Numerical Analysis. Geophysics/Geodesy. ssj0001534502 9783319170800[3319170805](print) 9783319170787[3319170783](print) 9783319170794[3319170791] 2020.06.27 2020.06.28