Analysis of Water Leakage through the Embankment with Drainage by the Finite Element Method : Master's Thesis

U ovom diplomskom radu prikazane su dvije varijante rješenja procjeđivanja vode kroz nasip. Prva varijanta je nasip s pojavom vrelne plohe. Druga varijanta je izrada nasipa sa drenažnim dodatkom nasipa na nizvodnoj strani nasipa. Nasip je trajno opterećen hidrostatskim tlakom s jedne strane. Numerička metoda modeliranja koja je korištena za analizu vode u nasipu je metoda konačnih elemenata. Primijenjeni su trokutni konačni elementi, proveden je proračun matrice vodljivosti G^e, zadani su rubni uvjeti, te je proveden izračun potencijala, odnosno vrijednosti strujne funkcije. Model je izrađen u programskom jeziku FORTRAN95. Prvo je pretpostavljen položaj gornje rubne strujnice (slobodno vodno lice), a nakon što je dobiveno programsko rješenje, strujnica slobodnog vodnog lica prilagođena je rješenju. Postupak se ponavlja dok razlika između pretpostavljene i dobivene strujnice slobodnog vodnog lica ne bude manja od 2 (mm).In this diploma thesis, two variants of the solution of water seepage through the embankment are presented. The first variant is an embankment with the appearance of a boiling surface. Another variant is the construction of an embankment with a drainage addition of the embankment on the downstream side of the embankment. The embankment is permanently loaded with hydrostatic pressure on one side. The numerical modeling method used to analyze the water in the embankment is the finite element method. Triangular finite elements were applied, the conductivity matrix G ^ e was calculated, boundary conditions were given, and the calculation of the potential, ie the value of the current function, was performed. The model is made in the FORTRAN95 programming language. First, the position of the upper edge stream (free water face) was assumed, and after the software solution was obtained, the free water face stream was adjusted to the solution. The procedure is repeated until the difference between the assumed and the obtained free water face stream is less than 2 (mm)