A Method of Fundamental Solutions in Poroelasticity to Model - download pdf or read online

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 software to advertise using renewable power. One very promising resource of strength is the warmth kept within the Earth’s crust, that's harnessed via so-called geothermal amenities. Scientists from fields like geology, geo-engineering, geophysics and particularly geomathematics are referred to as upon to assist make geothermics a competent and secure strength creation approach. one of many demanding situations they face comprises modeling the mechanical stresses at paintings in a reservoir.
The objective of this thesis is to strengthen a numerical answer scheme through which the fluid strain and rock stresses in a geothermal reservoir could be decided ahead of good drilling and through creation. For this objective, the strategy should 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 energy, and (iv) be versatile with reference to the destinations of knowledge points.
After introducing the fundamental equations and their relatives to extra widespread ones (the warmth equation, Stokes equations, Cauchy-Navier equation), the “method of primary options” and its strength worth touching on our activity are mentioned. according to the houses of the elemental suggestions, theoretical effects are tested and numerical examples of rigidity box simulations are offered to evaluate the method’s functionality. The first-ever 3D pictures calculated for those themes, 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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