Lisa Hug (SRP NUPUS Scholarship 2016)

Title of Master's thesis: Investigation of applicability and parametrization of dual-continuum models through multiscale finite volume methods

Supervisors: Dr. Florian Doster (Heriot Watt University, Edinburgh); Prof. Dr.-Ing. Rainer Helmig (University of Stuttgart)

Description: The high complexity and variety of fractured porous systems lead to the development of a wide range of modeling approaches including continuum models and multi-scale finite volume methods. Motivated by the known difficulties and uncertainties concerning the applicability of dual-continuum models as well as the construction of suitable transfer functions, this project examines the possibility to cover these knowledge gaps by information contained in multiscale finite volume basis functions. The idea is to examine how the shape of basis functions develops and is influenced by problem dependent parameters like the permeability contrast between fracture and matrix or the geometry of the problem. It is further examined how this knowledge can be transferred to dual-continuum models. To this end, the recently proposed multi-scale restriction smoothed basis method for fractured porous media [1] is studied in detail and compared against a dual-porosity approach. In a range of test cases the behaviour of the F-MsRSB basis functions is analyzed. It is investigated, if and how the basis functions can be used to derive parameters for the parametrization of dual-porosity transfer functions.

References 1. Shah, S., Møyner, O., Tene, M., Lie, K.-A., and Hajibeygi, H. (2016): The multiscale restriction smoothed basis method for fractured porous media (F-MsRSB). Journal of Computational Physics, 318:36--57.