Mixed-hybrid FEM discrete fracture network model of the fracture flow
A stochastic discrete fracture network model of Darcy’s underground water flow in disrupted rock massifs is introduced. The mixed finite element method and hybridization of the appropriate lowest order Raviart-Thomas approximation are used for the special conditions of a flow through a connected system of 2D polygons embedded in 3D. A model problem is tested.
KeywordsModel Problem Fracture Flow Pressure Trace Mixed Finite Element Method Type Boundary Condition
Unable to display preview. Download preview PDF.
- Roberts, J.E., Thomas, J.-M. (1991): Mixed and hybrid methods. In: Ciarlet, P.G., Lions, J.-L. (eds.) Handbook of numerical analysis, Vol. II. Finite element methods. Part 1. North-Holland, Amsterdam, pp. 523–639Google Scholar
- Vohralík, M. (2001): Existence-and error-analysis of the mixed-hybrid model of the fracture flow. Preprint MATH-NM-06-2001. Technische Universität Dresden, DresdenGoogle Scholar