Download PDF by Matthias Albert Augustin: A Method of Fundamental Solutions in Poroelasticity to Model

By Matthias Albert Augustin

This monograph makes a speciality of the numerical tools wanted within the context of constructing a competent simulation software to advertise using renewable strength. One very promising resource of strength is the warmth saved within the Earth’s crust, that's harnessed by means of so-called geothermal amenities. Scientists from fields like geology, geo-engineering, geophysics and particularly geomathematics are known as upon to assist make geothermics a competent and secure strength construction procedure. one of many demanding situations they face contains modeling the mechanical stresses at paintings in a reservoir.
The goal of this thesis is to enhance a numerical resolution scheme through which the fluid strain and rock stresses in a geothermal reservoir might be decided sooner than good drilling and through creation. For this function, the strategy should still (i) contain poroelastic results, (ii) supply a method of together with thermoelastic results, (iii) be low-cost when it comes to reminiscence and computational strength, and (iv) be versatile in regards to the destinations of information points.
After introducing the fundamental equations and their kinfolk to extra everyday ones (the warmth equation, Stokes equations, Cauchy-Navier equation), the “method of primary recommendations” and its strength price touching on our activity are mentioned. in accordance with the houses of the basic ideas, theoretical effects are validated and numerical examples of rigidity box simulations are offered to evaluate the method’s functionality. The first-ever 3D pics calculated for those issues, which neither requiring meshing of the area nor concerning a time-stepping scheme, make this a pioneering volume.

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A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs (Geosystems Mathematics) by Matthias Albert Augustin

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