Mathematische Methoden in der Geothermie

A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs

“…Some of the contents of this chapter, especially of the first section, were already published before in [14] and some of the basic ideas in [17].…”

“…The results of this chapter were already published in parts in two articles in peerreviewed journals [14,17] and a book chapter [15].…”

“…1.2) based on four columns: potential methods (gravity/geomagnetics) [84,93,[104][105][106][107][108]201], seismic exploration [83,90,134], transport processes [182,[214][215][216], and stress field [13,14]. 6 1 Introduction For an overview on the different columns of the model, see [15] and [17,94] (in German). For further information on the mathematical background, see, e.g., [81,82,85,86,88,91,97] and the references therein.…”

“…In a second section, we address the question of existence and uniqueness of solutions. A shortened version of this chapter was already published before as part of a technical report [13], two articles in peer-reviewed journals [14,17], and a book chapter [15].…”

“…17 Maximal relative rooted mean square errors E rel rms;x as defined in (6.16) for Example 6.3 for varying spatial parameters x , y , and as given in (6.14) and fixed values t D D 0:05, 1 D 1 D 0:5 t , t end D 5. Instead of .…”