In the 80s-90s stochastic hydrology experienced a b large boom, in particular when simulating groundwater flow and transport. Nowadays these methods are seldmoly used even though hydrologists and hydrologeologists realise that subsurface heterogeneities cannot be accounted for only by increasing their simulation models' resolution.

The aim of this thesis has a historic and a scientific side: (1) the student will peform a detailed literature review about the stochastic hydrology approaches from the 80s-90s. (2) the student will review the present challenges that hydrology is facing today and compare them to the possibilities provided by stochastic hydrology.

Systematik literature review. Use of literature data bases. Summarizing and recombiniation of collected knowledge.

Andreas Hartmann

Andreas Hartmann andreas.hartmann@hydrology.uni-freiburg.de

English (German)

Dagan, G. (1986). Statistical theory of groundwater flow and transport: Pore to laboratory, laboratory to formation, and formation to regional scale. Water Resources Research, 22(9S), 120S–134S. doi:10.1029/WR022i09Sp0120S

Dagan, G. (1982). Stochastic modeling of groundwater flow by unconditional and conditional probabilities: 1. Conditional simulation and the direct problem. Water Resources Research, 18(4), 813–833. doi:10.1029/WR018i004p00813

Dagan, G. (1982). Stochastic modeling of groundwater flow by unconditional and conditional probabilities: 2. The solute transport. Water Resources Research, 18(4), 835–848. doi:10.1029/WR018i004p00835