Modelování výparu ve vícefázových systémech

Abstract

The thesis focuses on the modelling of water evaporation from porous materials. After a concise review of the approaches to quantification of the evaporation from rocks, the thesis presents a model of evaporation front motion, which is subsequently applied to calculate the evaporation rate from a sandstone sample. A problem with ordinary differential equation, which governs front's movement in the given material, is de- scribed thoroughly, not excluding the material characterisation of the computational domain and providing initial and boundary conditions. In the end, the results of the calculation are presented and discussed. Key words - evaporation from rocks, evaporation front, multiphase systems, porous media, Richards' equation

Tato pra ́ce se ve ̌nuje modelova ́nı ́ vy ́paru vody z pore ́znı ́ch materia ́lu ̊. Po struc ̌ne ́ res ̌ers ̌i pr ̌ı 'stupu ̊ ke kvantifikaci vy ́paru z hornin pr ̌edstavuje pra ́ce model pohybu vy ́parove ́ fronty, jenz ̌ je na 'sledne ̌ vyuz ̌it pr ̌i vy ́poc ̌tu intenzity vy ́paru ze vzorku pı 'skovce. Podrobne ̌ je popsa ́na u ́loha s obyc ̌ejnou diferencia ́lnı ́ rovnicı ́, jez ̌ r ̌ı ́dı ́ po- hyb fronty v dane ́m materia ́lu, vc ̌etne ̌ materia ́love ́ charakterizace vy ́poc ̌etnı ́ oblasti a pr ̌edstavenı ́ poc ̌a ́tec ̌nı ́ch a okrajovy ́ch podmı ́nek. Nakonec jsou pr ̌edstaveny a disku- tova ́ny vy 'sledky vy ́poc ̌tu. Klı ́c ̌ova ́ slova - vy ́par z hornin, vy ́parova ́ fronta, vı ́cefa ́zove ́ syste ́my, pore ́znı ́prostr ̌edı ́, Richardsova rovnice