Read e-book online A Method of Fundamental Solutions in Poroelasticity to Model PDF

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By Matthias Albert Augustin

ISBN-10: 3319170783

ISBN-13: 9783319170787

This monograph specializes in the numerical equipment wanted within the context of constructing a competent simulation instrument to advertise using renewable power. One very promising resource of strength is the warmth kept within the Earth’s crust, that's harnessed by way of so-called geothermal amenities. Scientists from fields like geology, geo-engineering, geophysics and particularly geomathematics are referred to as upon to aid make geothermics a competent and secure power creation approach. one of many demanding situations they face includes modeling the mechanical stresses at paintings in a reservoir.
The goal of this thesis is to improve a numerical resolution scheme by way of which the fluid strain and rock stresses in a geothermal reservoir may be decided sooner than good drilling and through creation. For this function, the strategy may still (i) contain poroelastic results, (ii) offer a way of together with thermoelastic results, (iii) be reasonably cheap by way of reminiscence and computational energy, and (iv) be versatile in regards to the destinations of knowledge points.
After introducing the elemental equations and their kin to extra commonly used ones (the warmth equation, Stokes equations, Cauchy-Navier equation), the “method of basic options” and its strength worth touching on our activity are mentioned. according to the homes of the basic strategies, theoretical effects are demonstrated and numerical examples of pressure box simulations are offered to evaluate the method’s functionality. The first-ever 3D portraits calculated for those issues, which neither requiring meshing of the area nor regarding 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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