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

By Matthias Albert Augustin

ISBN-10: 3319170783

ISBN-13: 9783319170787

This monograph specializes in the numerical tools wanted within the context of constructing a competent simulation software to advertise using renewable power. One very promising resource of power is the warmth kept within the Earth’s crust, that is 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 strategy. one of many demanding situations they face contains modeling the mechanical stresses at paintings in a reservoir.
The objective of this thesis is to improve a numerical resolution scheme via which the fluid strain and rock stresses in a geothermal reservoir may be decided sooner than good drilling and through construction. For this objective, the tactic may still (i) comprise poroelastic results, (ii) offer a method of together with thermoelastic results, (iii) be low-cost by way of reminiscence and computational strength, and (iv) be versatile in regards to the destinations of knowledge points.
After introducing the elemental equations and their kinfolk to extra well-known ones (the warmth equation, Stokes equations, Cauchy-Navier equation), the “method of basic strategies” and its capability price bearing on our job are mentioned. in line with the homes of the basic suggestions, theoretical effects are demonstrated and numerical examples of rigidity box simulations are offered to evaluate the method’s functionality. The first-ever 3D pics calculated for those subject matters, 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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