By Matthias Albert Augustin
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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Extra resources for A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs (Geosystems Mathematics)
A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs (Geosystems Mathematics) by Matthias Albert Augustin