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

By Matthias Albert Augustin

This monograph specializes in the numerical tools wanted within the context of constructing a competent simulation instrument to advertise using renewable power. One very promising resource of strength is the warmth saved within the Earth’s crust, that is 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 technique. one of many demanding situations they face consists of modeling the mechanical stresses at paintings in a reservoir.
The target of this thesis is to improve a numerical resolution scheme through which the fluid strain and rock stresses in a geothermal reservoir should be made up our minds sooner than good drilling and through creation. For this function, the strategy should still (i) contain poroelastic results, (ii) supply 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 information points.
After introducing the elemental equations and their kin to extra prevalent ones (the warmth equation, Stokes equations, Cauchy-Navier equation), the “method of primary strategies” and its strength price pertaining to our job are mentioned. in line with the homes of the elemental ideas, theoretical effects are proven and numerical examples of pressure 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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