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 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 known as upon to assist make geothermics a competent and secure strength creation 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 increase a numerical answer scheme via which the fluid strain and rock stresses in a geothermal reservoir should be made up our minds ahead of 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 when it comes to reminiscence and computational strength, and (iv) be versatile with reference to the destinations of knowledge points.
After introducing the fundamental equations and their kinfolk to extra primary ones (the warmth equation, Stokes equations, Cauchy-Navier equation), the “method of basic options” and its capability worth bearing on our job are mentioned. in keeping with the houses of the basic suggestions, theoretical effects are verified and numerical examples of pressure box simulations are provided to evaluate the method’s functionality. The first-ever 3D pix 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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